Florida State Standards Alignment Grades One through Twelve

Florida State Standards Alignment Grades One through Twelve

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Florida State Standards Alignment

Standards List with Aligned Product Skills

The Standards List with Aligned Product Skills Report is a standards-oriented document showing the entire list of standards for the subject and grade on the left side of the report with the aligning product objectives on the right side. This alignment report shows the breadth of standards coverage for the purpose and focus of this product.

Note to Educator .....................................................iii

Grade 1 ..................................................... 1

Grade 2 ..................................................... 5

Grade 3 ..................................................... 9

Grade 4 ....................................................14

Grade 5 ....................................................19

Grade 6 ....................................................26

Grade 7 ....................................................40

Grade 8 ....................................................46

Algebra ....................................................50

Geometry ....................................................74

Probability ....................................................84

Statistics ....................................................86

Precalculus ....................................................92

Calculus ..................................................102

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Note to Educator: Thank you for your interest in Renaissance Learning technology. The attached document contains the alignment between the software and/or instructional materials and the skills described in the state standards documentation. At Renaissance Learning, we recognize the impact that the standards-based reform movement and high-stakes standardized testing have on schools, and we share the concerns of educators and administrators that students perform well on high-stakes assessments. We hope this report answers your questions regarding the alignment of Renaissance Learning technology and materials to your state standards. If you have any questions about the attached document, please feel free to call us at (800) 338-4204. Sincerely, Renaissance Sales and Funding Staff

P.O. Box 8036 Wisconsin Rapids, WI 54495-8036

Phone: (800) 338-4204 Fax: (715) 424-4242

www.renlearn.com

Agency Tag Set NameFlorida, Math, 2007, First Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.1.A.1 - Develop understandings of addition and subtraction strategies for basic addition facts and related subtraction facts.FL MA.1.A.1.1 - Model addition and subtraction situations using the concepts of "part-whole," "adding to," "taking away from," "comparing," and "missing addend."

FL MA.1.A.1.2 - Identify, describe, and apply addition and subtraction as inverse operations.

Topic 1 - Numbers and Operations

Obj. 47 - Complete an addition and subtraction fact family

Obj. 48 - Apply the inverse relationship between addition facts and subtraction facts

Topic 2 - Algebraic Thinking Obj. 60 - Determine a missing addend in a basic addition-fact number sentenceObj. 61 - Determine a missing subtrahend in a basic subtraction-fact number sentenceObj. 64 - WP: Determine a missing addend or subtrahend in a basic addition- or subtraction-fact number sentence

FL MA.1.A.1.3 - Create and use increasingly sophisticated strategies, and use properties such as Commutative, Associative and Additive Identity, to add whole numbers.


Obj. 51 - Add zero to any number less than 100

FL MA.1.A.1.4 - Use counting strategies, number patterns, and models as a means for solving basic addition and subtraction fact problems.


Obj. 31 - Determine the missing portion in a partially screened (hidden) collection of up to 10 objects

Obj. 32 - Relate a picture model to a basic addition factObj. 33 - Determine the basic addition fact shown by a picture modelObj. 34 - Relate a number-line model to a basic addition factObj. 35 - Determine the basic addition fact shown by a number-line modelObj. 36 - Relate a picture model to a basic subtraction fact

Standards List with Aligned Product SkillsProduct NameAccelerated Math Second Edition Grade 1

Accelerated Math Grade 1

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Agency Tag Set NameFlorida, Math, 2007, First Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


Obj. 37 - Determine the basic subtraction fact shown by a picture modelObj. 38 - Determine the basic subtraction fact shown by a number-line modelObj. 39 - Relate a number-line model to a basic subtraction factObj. 40 - Apply the relationship between addition and counting onObj. 41 - Apply the relationship between subtraction and counting back

FL MA.1.A.2 - Develop an understanding of whole number relationships, including grouping by tens and ones.FL MA.1.A.2.1 - Compare and order whole numbers at least to 100.


Obj. 27 - Compare whole numbers to 100 using words

Obj. 28 - Order whole numbers to 100 in ascending orderObj. 29 - Order whole numbers to 100 in descending order

FL MA.1.A.2.2 - Represent two digit numbers in terms of tens and ones.


Obj. 19 - Count objects grouped in tens and ones

Obj. 20 - Model a number to 100 using tens and onesObj. 21 - Recognize a number from a model of tens and ones to 100

Obj. 22 - Represent a 2-digit number as tens and onesObj. 23 - Determine the 2-digit number represented as tens and onesObj. 24 - Determine the value of a digit in a 2-digit number

FL MA.1.A.2.3 - Order counting numbers, compare their relative magnitudes, and represent numbers on a number line.


Obj. 9 - Identify a number to 20 represented by a point on a number line

Obj. 10 - Locate a number to 20 on a number line

FL MA.1.G.3 - Compose and decompose two-dimensional and three-dimensional geometric shapes.


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FL MA.1.G.3.1 - Use appropriate vocabulary to compare shapes according to attributes and properties such as number and lengths of sides, and number of vertices.

Topic 3 - Geometry and Measurement

Obj. 82 - Determine the common attributes in a set of geometric shapes

Obj. 84 - Determine the rule used to sort geometric shapes

FL MA.1.G.3.2 - Compose and decompose plane and solid figures, including making predictions about them, to build an understanding of part-whole relationships and properties of shapes.


Obj. 59 - Identify a shape divided into equal parts

FL MA.1.A.4 - AlgebraFL MA.1.A.4.1 - Extend repeating and growing patterns, fill in missing terms, and justify reasoning.

Topic 2 - Algebraic Thinking Obj. 66 - Extend a repeating picture pattern

Obj. 67 - Extend a pictorial growth patternObj. 68 - Determine a pattern on a 1 to 100 chartObj. 69 - Complete a pattern on a 1 to 100 chart

FL MA.1.G.5 - Geometry and MeasurementFL MA.1.G.5.1 - Measure by using iterations of a unit and count the unit measures by grouping units.FL MA.1.G.5.2 - Compare and order objects according to descriptors of length, weight and capacity.


Obj. 70 - Compare objects using the vocabulary of measurement

Obj. 71 - Compare and order objects by attributes of height or length

FL MA.1.A.6 - Number and OperationsFL MA.1.A.6.1 - Use mathematical reasoning and beginning understanding of tens and ones, including the use of invented strategies, to solve two-digit addition and subtraction problems.


Obj. 42 - Know basic addition facts to 10 plus 10

Obj. 43 - Know basic subtraction facts to 20 minus 10Obj. 46 - WP: Use basic addition or subtraction facts to solve problems


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Obj. 49 - Add multiples of 10, sums to 90Obj. 50 - Subtract multiples of 10 up to 90Obj. 52 - Subtract zero from any number less than 100Obj. 53 - Add a 2-digit and a 1-digit number without regroupingObj. 54 - Add two 2-digit numbers without regroupingObj. 55 - Subtract a 1-digit number from a 2-digit number without regroupingObj. 56 - Subtract a 2-digit number from a 2-digit number without regrouping

FL MA.1.A.6.2 - Solve routine and non-routine problems by acting them out, using manipulatives, and drawing diagrams.


Obj. 57 - WP: Add or subtract a 1- and 2-digit number without regrouping

Obj. 58 - WP: Add or subtract two 2-digit numbers without regrouping


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Agency Tag Set NameFlorida, Math, 2007, Second Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.2.A.1 - Develop an understanding of base-ten numerations system and place-value concepts.FL MA.2.A.1.1 - Identify relationships between the digits and their place values through the thousands, including counting by tens and hundreds.

Topic 1 - Number Sense and Operations

Obj. 9 - Determine the value of a digit in a 3-digit number

Obj. 10 - Determine which digit is in a specified place in a 3-digit whole number

FL MA.2.A.1.2 - Identify and name numbers through thousands in terms of place value and apply this knowledge to expanded notation.


Obj. 1 - Read a whole number to 1,000

Obj. 2 - Determine the word form of a whole number to 1,000Obj. 12 - Model a number using hundreds, tens, and ones to 1,000Obj. 13 - Recognize a number from a model of hundreds, tens, and ones to 1,000Obj. 14 - Represent a 3-digit number as hundreds, tens, and ones

Obj. 15 - Determine the 3-digit number represented as hundreds, tens, and ones

FL MA.2.A.1.3 - Compare and order multi-digit numbers through the thousands.


Obj. 20 - Compare whole numbers to 1,000 using words

Obj. 21 - Compare whole numbers to 1,000 using the symbols <, >, and =

Obj. 22 - Order whole numbers to 1,000 in ascending orderObj. 23 - Order whole numbers to 1,000 in descending order

FL MA.2.A.2 - Develop quick recall of addition facts and related subtraction facts and fluency with multi-digit addition and subtraction.FL MA.2.A.2.1 - Recall basic addition and related subtraction facts.



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Agency Tag Set NameFlorida, Math, 2007, Second Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


FL MA.2.A.2.2 - Add and subtract multi-digit whole numbers through three digits with fluency by using a variety of strategies, including invented and standard algorithms and explanations of those procedures.


Obj. 24 - Determine a number pair that totals 100

Obj. 25 - Determine a number pair that totals 1,000Obj. 28 - Add two 3-digit numbers without regroupingObj. 29 - Add two 2-digit numbers with regrouping, given a modelObj. 30 - Add money values using cents or dollars with regroupingObj. 31 - Add a 2-digit number to a 1-digit number with regroupingObj. 32 - Add two 2-digit numbers with regroupingObj. 33 - Add three 2-digit numbers with one regrouping, sum less than 100Obj. 34 - Add 2- and 3-digit numbers with no more than one regrouping

Obj. 35 - Add two 3-digit numbers with one regroupingObj. 36 - Subtract a 3-digit number from a 3-digit number without regroupingObj. 37 - Subtract money values using cents or dollars with one regroupingObj. 38 - Subtract a 1- or 2-digit number from a 2-digit number with one regroupingObj. 39 - Subtract a 1- or 2-digit number from a 3-digit number with one regroupingObj. 40 - Subtract a 3-digit number from a 3-digit number with one regroupingObj. 41 - WP: Add or subtract numbers without regroupingObj. 42 - WP: Add or subtract up to 2-digit numbers with one regrouping

FL MA.2.A.2.3 - Estimate solutions to multi-digit addition and subtraction problems, through three digits.


Obj. 44 - Estimate the sum of two 2-digit numbers


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Obj. 45 - Estimate the difference of two 2-digit numbers

FL MA.2.A.2.4 - Solve addition and subtraction problems that involve measurement and geometry.FL MA.2.G.3 - Develop an understanding of linear measurement and facility in measuring lengths.

FL MA.2.G.3.1 - Estimate and use standard units, including inches and centimeters, to partition and measure lengths of objects.


Obj. 76 - Measure length in inches

Obj. 77 - Measure length in centimeters

FL MA.2.G.3.2 - Describe the inverse relationship between the size of a unit and number of units needed to measure a given object.FL MA.2.G.3.3 - Apply the Transitive Property when comparing lengths of objects.FL MA.2.G.3.4 - Estimate, select an appropriate tool, measure, and/or compute lengths to solve problems.


Obj. 76 - Measure length in inches

Obj. 77 - Measure length in centimeters

FL MA.2.A.4 - AlgebraFL MA.2.A.4.1 - Extend number patterns to build a foundation for understanding multiples and factors - for example, skip counting by 2's, 5's, 10's.


Obj. 3 - Complete a skip pattern starting from a multiple of 2, 5, or 10

Obj. 4 - Complete a skip pattern of 2, 5, or 10 starting from any number

Topic 2 - Algebraic Thinking Obj. 72 - Extend a number pattern involving additionObj. 73 - Extend a number pattern involving subtractionObj. 74 - Extend a pattern given a table of related number pairs

FL MA.2.A.4.2 - Classify numbers as odd or even and explain why.FL MA.2.A.4.3 - Generalize numeric and non-numeric patterns using words and tables.

Topic 2 - Algebraic Thinking Obj. 70 - Determine an addition or subtraction number pattern given a ruleObj. 71 - Determine the rule for an addition or subtraction number pattern


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FL MA.2.A.4.4 - Describe and apply equality to solve problems, such as in balancing situations.FL MA.2.A.4.5 - Recognize and state rules for functions that use addition and subtraction.FL MA.2.G.5 - Geometry and MeasurementFL MA.2.G.5.1 - Use geometric models to demonstrate the relationships between wholes and their parts as a foundation to fractions.


Obj. 58 - Identify a unit fraction as part of a whole

Obj. 61 - Identify a fraction as part of a wholeObj. 62 - Relate a fraction equal to a whole to a pictorial model

FL MA.2.G.5.2 - Identify time to the nearest hour and half hour.FL MA.2.G.5.3 - Identify, combine, and compare values of money in cents up to $1 and in dollars up to $100, working with a single unit of currency.


Obj. 17 - Determine the value of a collection of bills and coins

Obj. 19 - Convert money amounts in words to amounts in symbolsObj. 26 - Determine cent amounts that total a dollar

FL MA.2.G.5.4 - Measure weight/mass and capacity/volume of objects. Include the use of the appropriate unit of measure and their abbreviations including cups, pints, quarts, gallons, ounces (oz), pounds (lbs), grams (g), kilograms (kg), milliliters (mL) and liters (L).FL MA.2.A.6 - Number and OperationsFL MA.2.A.6.1 - Solve problems that involve repeated addition.


Obj. 46 - Determine the sum of equal groups using picturesObj. 47 - Use a repeated addition sentence to represent the sum of equal groups


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Agency Tag Set NameFlorida, Math, 2007, Third Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.3.A.1 - Develop understandings of multiplication and division and strategies for basic multiplication facts and related division facts.


Obj. 35 - Know basic multiplication facts to 10 x 10

Obj. 36 - Know basic multiplication facts for 11 and 12Obj. 37 - Know basic division facts to 100 ÷ 10Obj. 38 - Know basic division facts for 11 and 12Obj. 39 - WP: Multiply using basic facts to 10 x 10Obj. 40 - WP: Divide using basic facts to 100 ÷ 10

FL MA.3.A.1.1 - Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning.


Obj. 33 - Use a multiplication sentence to represent an area or an array model

Obj. 34 - Use a division sentence to represent objects divided into equal groups

FL MA.3.A.1.2 - Solve multiplication and division fact problems by using strategies that result from applying number properties.

FL MA.3.A.1.3 - Identify, describe, and apply division and multiplication as inverse operations.


Obj. 41 - Complete a multiplication and division fact family

Topic 2 - Algebraic Thinking Obj. 58 - Determine the missing multiplicand in a number sentence involving basic factsObj. 59 - Determine the missing dividend or divisor in a number sentence involving basic facts

FL MA.3.A.2 - Develop an understanding of fractions and fraction equivalence.FL MA.3.A.2.1 - Represent fractions, including fractions greater than one, using area, set and linear models.


Obj. 44 - Determine a pictorial model of a fraction of a whole

Obj. 45 - Determine a pictorial model of a fraction of a set of objects



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Agency Tag Set NameFlorida, Math, 2007, Third Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


Obj. 46 - Identify a fraction represented by a point on a number lineObj. 47 - Locate a fraction on a number lineObj. 55 - Estimate fractions of a whole

FL MA.3.A.2.2 - Describe how the size of the fractional part is related to the number of equal sized pieces in the whole.FL MA.3.A.2.3 - Compare and order fractions, including fractions greater than one, using models and strategies.


Obj. 48 - Compare fractions using models

Obj. 49 - Order fractions using modelsObj. 51 - Compare fractions with like denominatorsObj. 52 - Compare fractions with like numeratorsObj. 53 - WP: Compare equal unit fractions of different-sized wholes

FL MA.3.A.2.4 - Use models to represent equivalent fractions, including fractions greater than 1, and identify representations of equivalence.


Obj. 50 - Identify equivalent fractions using models

FL MA.3.G.3 - Describe and analyze properties of two-dimensional shapes.FL MA.3.G.3.1 - Describe, analyze, compare and classify two-dimensional shapes using sides and angles - including acute, obtuse, and right angles - and connect these ideas to the definition of shapes.


Obj. 93 - Classify an angle as equal to 90°, less than 90°, or greater than 90°

Obj. 94 - Classify an angle in a shape as equal to 90°, less than 90°, or greater than 90°Obj. 96 - Relate a model of a triangle or a quadrilateral to a list of attributes

FL MA.3.G.3.2 - Compose, decompose, and transform polygons to make other polygons, including concave and convex polygons with three, four, five, six, eight, or ten sides.


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FL MA.3.G.3.3 - Build, draw and analyze two-dimensional shapes from several orientations in order to examine and apply congruence and symmetry.


Obj. 100 - Identify congruent shapes

FL MA.3.A.4 - AlgebraFL MA.3.A.4.1 - Create, analyze, and represent patterns and relationships using words, variables, tables and graphs.

Topic 2 - Algebraic Thinking Obj. 65 - Determine a rule for a table of related number pairs

Obj. 66 - WP: Find the missing number in a table of paired values

FL MA.3.G.5 - Geometry and MeasurementFL MA.3.G.5.1 - Select appropriate units, strategies and tools to solve problems involving perimeter.


Obj. 86 - Determine a method for finding the perimeter of a shape given the side lengths

Obj. 87 - WP: Determine the perimeter of a rectangular shape given a grid with a reference unitObj. 88 - WP: Determine the perimeter of a shape given a model showing all side lengths

FL MA.3.G.5.2 - Measure objects using fractional parts of linear units such as 1/2, 1/4 and 1/10.


Obj. 67 - Measure length to the nearest half inch or quarter inch

FL MA.3.G.5.3 - Tell time to the nearest minute and to the nearest quarter hour, and determine the amount of time elapsed.


Obj. 74 - Tell time to the minute

Obj. 76 - Calculate elapsed time within an hour, given two clocks, without regroupingObj. 77 - Calculate elapsed time within an hour, given two clocks, with regroupingObj. 78 - WP: Calculate elapsed time within an hour given two clocks

Obj. 79 - WP: Calculate elapsed time within an hourObj. 80 - WP: Determine the end time given the start time and the elapsed time within an hourObj. 81 - WP: Determine the start time given the end time on a clock and the elapsed time within an hour


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Obj. 82 - WP: Determine the start time given the end time and the elapsed time within an hour

FL MA.3.A.6 - Number and OperationsFL MA.3.A.6.1 - Represent, compute, estimate and solve problems using numbers through hundred thousands.


Obj. 1 - Read a 4- or 5-digit whole number

Obj. 2 - Determine the word form of a 4- or 5-digit whole numberObj. 5 - Represent a 4-digit whole number as thousands, hundreds, tens, and onesObj. 6 - Determine the 4-digit whole number represented in thousands, hundreds, tens, and ones

Obj. 7 - Represent a 4- or 5-digit whole number in expanded formObj. 8 - Determine the 4- or 5-digit whole number represented in expanded formObj. 13 - Add 3- and 4-digit whole numbers with regroupingObj. 14 - Add three 2- to 3-digit whole numbersObj. 15 - Subtract 3- and 4-digit whole numbers with regroupingObj. 16 - WP: Add or subtract 3- and 4-digit whole numbers with regroupingObj. 28 - Estimate a sum or difference of whole numbers to 10,000 by roundingObj. 29 - Estimate a sum or difference of two 3- or 4-digit whole numbers using front-end estimationObj. 30 - Estimate a sum or difference of 2- to 4-digit whole numbers using any methodObj. 31 - Estimate a sum of three 2- to 4-digit numbers using any method

Obj. 32 - WP: Estimate a sum or difference of two 3- or 4-digit whole numbers using any method

FL MA.3.A.6.2 - Solve non-routine problems by making a table, chart, or list and searching for patterns.FL MA.3.S.7 - Data Analysis


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FL MA.3.S.7.1 - Construct and analyze frequency tables, bar graphs, pictographs, and line plots from data, including data collected through observations, surveys, and experiments.

Topic 4 - Data Analysis, Statistics, and Probability

Obj. 105 - Use a bar graph with a scale interval of 5 or 10 to represent data

Obj. 106 - Answer a question using information from a bar graph with a scale interval of 5 or 10Obj. 107 - Read a line plotObj. 108 - Use a line plot to represent dataObj. 109 - Answer a question using information from a line plotObj. 110 - Use a frequency table to represent dataObj. 111 - Answer a question using information from a frequency table


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Agency Tag Set NameFlorida, Math, 2007, Fourth Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.4.A.1 - Develop quick recall of multiplication facts and related division facts and fluency with whole number multiplication.FL MA.4.A.1.1 - Use and describe various models for multiplication in problem-solving situations, and demonstrate recall of basic multiplication and related division facts with ease.FL MA.4.A.1.2 - Multiply multi-digit whole numbers through four digits fluently, demonstrating understanding of the standard algorithm, and checking for reasonableness of results, including solving real-world problems.


Obj. 20 - Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000

Obj. 23 - Multiply a 3- or 4-digit whole number by a 1-digit whole number

Obj. 24 - Multiply a 2-digit whole number by a 2-digit whole numberObj. 25 - Multiply a 3-digit whole number by a 2-digit whole numberObj. 26 - Multiply three 1- and 2-digit whole numbersObj. 27 - WP: Multiply a multi-digit whole number by a 1-digit whole numberObj. 28 - WP: Multiply a 2-digit whole number by a 2-digit whole number

Obj. 29 - WP: Multiply a 3-digit whole number by a 2-digit whole number

FL MA.4.A.2 - Develop an understanding of decimals, including the connection between fractions and decimals.FL MA.4.A.2.1 - Use decimals through the thousandths place to name numbers between whole numbers.


Obj. 62 - Read a decimal number through the hundredths place

Obj. 63 - Determine the word form of a decimal number through the hundredths place

FL MA.4.A.2.2 - Describe decimals as an extension of the base-ten number system.



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Agency Tag Set NameFlorida, Math, 2007, Fourth Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


FL MA.4.A.2.3 - Relate equivalent fractions and decimals with and without models, including locations on a number line.


Obj. 43 - Identify a mixed number represented by a model

Obj. 44 - Identify a mixed number represented by a point on a number lineObj. 45 - Locate a mixed number on a number lineObj. 47 - Identify an improper fraction represented by a model of a mixed numberObj. 48 - Identify an improper fraction represented by a point on a number lineObj. 49 - Locate an improper fraction on a number lineObj. 64 - Determine the decimal number from a pictorial model of tenths or hundredthsObj. 65 - Identify a pictorial model of tenths or hundredths of a decimal numberObj. 66 - Identify a decimal number to tenths represented by a point on a number lineObj. 67 - Locate a decimal number to tenths on a number lineObj. 68 - Determine the decimal number equivalent to a fraction with a denominator of 10 or 100Obj. 69 - Determine a fraction equivalent to a decimal, using a denominator of 10 or 100Obj. 70 - Determine the decimal number equivalent to a fraction modelObj. 71 - Determine the fraction equivalent to a decimal number model

FL MA.4.A.2.4 - Compare and order decimals, and estimate fraction and decimal amounts in real-world problems.


Obj. 52 - Compare fractions on a number line

Obj. 53 - Order fractions on a number lineObj. 72 - Compare decimal numbers through the hundredths place

Obj. 73 - Order decimal numbers through the hundredths place


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Obj. 80 - Round a decimal number to a specified place through hundredths

FL MA.4.G.3 - Develop an understanding of area and determine the area of two-dimensional shapes.

FL MA.4.G.3.1 - Describe and determine area as the number of same-sized units that cover a region in the plane, recognizing that a unit square is the standard unit for measuring area.


Obj. 114 - Determine the area of a polygon on a grid

FL MA.4.G.3.2 - Justify the formula for the area of the rectangle "area = base x height."


Obj. 115 - Determine the area of a rectangle given a picture showing the length and widthObj. 116 - Determine the area of a rectangle given the length and width

Obj. 117 - WP: Determine the area of a rectangle

FL MA.4.G.3.3 - Select and use appropriate units, both customary and metric, strategies, and measuring tools to estimate and solve real-world area problems.


Obj. 117 - WP: Determine the area of a rectangle

Obj. 119 - Estimate the area of an irregular polygon on a grid

FL MA.4.A.4 - AlgebraFL MA.4.A.4.1 - Generate algebraic rules and use all four operations to describe patterns, including nonnumeric growing or repeating patterns.

Topic 2 - Algebra Obj. 91 - Determine a rule that relates two variables

FL MA.4.A.4.2 - Describe mathematics relationships using expressions, equations, and visual representations.FL MA.4.A.4.3 - Recognize and write algebraic expressions for functions with two operations.FL MA.4.G.5 - Geometry and MeasurementFL MA.4.G.5.1 - Classify angles of two-dimensional shapes using benchmark angles (45°, 90°, 180°, and 360°).


Obj. 121 - Classify an angle given a picture

Obj. 122 - Classify an angle given its measure


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FL MA.4.G.5.2 - Identify and describe the results of translations, reflections, and rotations of 45, 90, 180, 270, and 360 degrees, including figures with line and rotational symmetry.


Obj. 123 - Associate degrees with a turn on a circle

Obj. 129 - Determine lines of symmetryObj. 130 - Determine the result of a flip, a turn, or a slide

FL MA.4.G.5.3 - Identify and build a three-dimensional object from a two-dimensional representation of that object and vice versa.FL MA.4.A.6 - Number and OperationsFL MA.4.A.6.1 - Use and represent numbers through millions in various contexts, including estimation of relative sizes of amounts or distances.


Obj. 1 - Read a 6-digit whole number

Obj. 2 - Determine the word form of a 6-digit whole numberObj. 5 - Determine the whole number represented in expanded form written in powers of tenObj. 6 - Represent a 6-digit whole number in expanded form using powers of tenObj. 17 - Round a 4- to 6-digit whole number to a specified place

FL MA.4.A.6.2 - Use models to represent division as:FL MA.4.A.6.2.a - Use models to represent division as: the inverse of multiplicationFL MA.4.A.6.2.b - Use models to represent division as: as partitioning

FL MA.4.A.6.2.c - Use models to represent division as: as successive subtractionFL MA.4.A.6.3 - Generate equivalent fractions and simplify fractions.


Obj. 50 - Simplify a fraction

Obj. 51 - Determine a set of equivalent fractions

FL MA.4.A.6.4 - Determine factors and multiples for specified whole numbers.


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FL MA.4.A.6.5 - Relate halves, fourths, tenths, and hundredths to decimals and percents.FL MA.4.A.6.6 - Estimate and describe reasonableness of estimates; determine the appropriateness of an estimate versus an exact answer.


Obj. 30 - Estimate a product of whole numbers by rounding

Obj. 31 - Estimate a product of whole numbers using any methodObj. 32 - WP: Estimate a product of two whole numbers using any method


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Agency Tag Set NameFlorida, Math, 2007, Fifth Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.5.A.1 - Develop an understanding of and fluency with division of whole numbers.FL MA.5.A.1.1 - Describe the process of finding quotients involving multi-digit dividends using models, place value, properties and the relationship of division to multiplication.FL MA.5.A.1.2 - Estimate quotients or calculate them mentally depending on the context and numbers involved.


Obj. 27 - Estimate a quotient using compatible numbers

Obj. 28 - Estimate a quotient using any methodObj. 29 - WP: Estimate a quotient using any method

FL MA.5.A.1.3 - Interpret solutions to division situations including those with remainders depending on the context of the problem.


Obj. 24 - WP: Divide a whole number and interpret the remainder

FL MA.5.A.1.4 - Divide multi-digit whole numbers fluently, including solving real-world problems, demonstrating understanding of the standard algorithm and checking the reasonableness of results.


Obj. 13 - Divide a multi-digit whole number by multiples of 100 or 1,000

Obj. 14 - Divide a multi-digit whole number by a 1-digit number, with no remainder and at least one zero in the quotientObj. 15 - Divide a multi-digit whole number by a 1-digit number, with a remainder and at least one zero in the quotientObj. 16 - Divide a multi-digit whole number by a 1-digit number and express the quotient as a mixed numberObj. 17 - Divide a multi-digit whole number by a 1-digit number and express the quotient as a decimalObj. 18 - Divide a multi-digit whole number by a 2-digit whole number, with no remainder and no zeros in the quotientObj. 19 - Divide a multi-digit whole number by a 2-digit whole number, with a remainder and no zeros in the quotient



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Agency Tag Set NameFlorida, Math, 2007, Fifth Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


Obj. 20 - Divide a multi-digit whole number by a 2-digit whole number, with no remainder and at least one zero in the quotientObj. 21 - Divide a multi-digit whole number by a 2-digit whole number, with a remainder and at least one zero in the quotientObj. 22 - Divide a multi-digit whole number by a 2-digit whole number and express the quotient as a mixed numberObj. 23 - WP: Divide a whole number, with no remainderObj. 24 - WP: Divide a whole number and interpret the remainder

FL MA.5.A.2 - Develop an understanding of and fluency with addition and subtraction of fractions and decimals.FL MA.5.A.2.1 - Represent addition and subtraction of decimals and fractions with like and unlike denominators using models, place value or properties.FL MA.5.A.2.2 - Add and subtract fractions and decimals fluently and verify the reasonableness of results, including in problem situations.


Obj. 35 - Add fractions with like denominators greater than 10 and simplify the sum

Obj. 36 - Add fractions with unlike denominators using a model and do not simplify the sumObj. 37 - Add fractions with unlike denominators and do not simplify the sumObj. 38 - Add fractions with unlike denominators that have factors in common and simplify the sumObj. 39 - Add fractions with unlike denominators that have no factors in commonObj. 40 - Subtract fractions with like denominators greater than 10 and simplify the differenceObj. 41 - Subtract fractions with unlike denominators using a model and do not simplify the differenceObj. 42 - Subtract fractions with unlike denominators and do not simplify the difference


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Obj. 43 - Subtract fractions with unlike denominators that have factors in common and simplify the differenceObj. 44 - Subtract fractions with unlike denominators that have no factors in commonObj. 45 - WP: Add or subtract fractions with like denominators and simplify the sum or differenceObj. 46 - WP: Add or subtract fractions with unlike denominators that have no factors in commonObj. 49 - Add mixed numbers with like denominators and simplify the sumObj. 50 - Add mixed numbers with unlike denominators and simplify the sumObj. 51 - Subtract mixed numbers with like denominators and simplify the differenceObj. 52 - Subtract mixed numbers with unlike denominators and simplify the differenceObj. 53 - WP: Add or subtract mixed numbers with like denominators and simplify the sum or difference

Obj. 54 - WP: Add or subtract mixed numbers with unlike denominators that have no factors in common

Obj. 75 - Add two decimal numbers of differing places to thousandths

Obj. 76 - Add three or more decimal numbersObj. 77 - Add decimal numbers and whole numbersObj. 78 - Subtract two decimal numbers of differing places to thousandthsObj. 79 - Subtract a decimal number from a whole number or a whole number from a decimal number

Obj. 80 - WP: Add or subtract decimal numbers through thousandths


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Obj. 81 - WP: Add or subtract a decimal number through thousandths and a whole number

FL MA.5.A.2.3 - Make reasonable estimates of fraction and decimal sums and differences, and use techniques for rounding.


Obj. 55 - Round a fraction to a benchmark number of 0, 1/2, or 1

Obj. 56 - Estimate a fraction sum using benchmark numbers 0, 1/2, and 1Obj. 57 - Estimate a fraction difference using benchmark numbers 0, 1/2, and 1Obj. 58 - WP: Estimate a fraction sum or difference using benchmark numbers 0, 1/2, and 1Obj. 82 - Round a decimal number to a specified decimal place to thousandthsObj. 83 - Estimate the sum of two decimal numbers through thousandths and less than 1 by rounding to a specified placeObj. 84 - Estimate the difference of two decimal numbers through thousandths and less than 1 by rounding to a specified placeObj. 85 - WP: Estimate the sum or difference of two decimal numbers through thousandths using any method

FL MA.5.A.2.4 - Determine the prime factorization of numbers.


Obj. 4 - Determine the prime factorization of a number to 50

FL MA.5.G.3 - Describe three-dimensional shapes and analyze their properties, including volume and surface area.FL MA.5.G.3.1 - Analyze and compare the properties of two-dimensional figures and three-dimensional solids (polyhedra), including the number of edges, faces, vertices, and types of faces.


Obj. 144 - Determine the number of faces, edges, and vertices in a 3-dimensional shape

FL MA.5.G.3.2 - Describe, define and determine surface area and volume of prisms by using appropriate units and selecting strategies and tools.


Obj. 132 - Determine the volume of a rectangular prism given a diagram

Obj. 133 - WP: Determine the volume of a rectangular prism given a diagram


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Obj. 134 - Determine the volume of a rectangular prismObj. 135 - WP: Determine the volume of a rectangular prismObj. 136 - Determine the volume of an object composed of rectangular prisms by counting unitsObj. 138 - Determine the surface area of a cube or a rectangular prism given a netObj. 139 - Determine the surface area of a rectangular prismObj. 140 - WP: Find the surface area of a rectangular prism

FL MA.5.A.4 - AlgebraFL MA.5.A.4.1 - Use the properties of equality to solve numerical and real world situations.

FL MA.5.A.4.2 - Construct and describe a graph showing continuous data, such as a graph of a quantity that changes over time.

FL MA.5.G.5 - Geometry and MeasurementFL MA.5.G.5.1 - Identify and plot ordered pairs on the first quadrant of the coordinate plane.

Topic 2 - Algebra Obj. 111 - Use a first quadrant graph to represent the values from a table generated in context


Obj. 150 - Determine the location of an ordered pair in the first quadrant

Obj. 151 - Determine the ordered pair of a point in the first quadrant

FL MA.5.G.5.2 - Compare, contrast, and convert units of measure within the same dimension (length, mass, or time) to solve problems.


Obj. 113 - Convert between customary units of length using fractional amounts

Obj. 115 - Convert between customary units of weight using fractional amountsObj. 117 - Convert between metric units of mass using decimal amounts

Obj. 118 - Convert between millimeters or centimeters and meters, or meters and kilometers using decimal amounts


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Obj. 119 - WP: Compare customary units of length, weight, or capacity using fractional amounts

Obj. 120 - WP: Compare metric units of length, mass, or capacity using decimal amounts

FL MA.5.G.5.3 - Solve problems requiring attention to approximation, selection of appropriate measuring tools, and precision of measurement.


Obj. 124 - Measure an angle to the nearest 5 degrees

FL MA.5.G.5.4 - Derive and apply formulas for areas of parallelograms, triangles, and trapezoids from the area of a rectangle.


Obj. 126 - Use a formula to determine the area of a triangle

Obj. 127 - Determine the area of a complex figure divided into basic shapesObj. 128 - Use a formula to determine the area of a parallelogram

Obj. 129 - WP: Determine the area of a triangleObj. 130 - WP: Determine the area of a square or rectangle

FL MA.5.A.6 - Number and OperationsFL MA.5.A.6.1 - Identify and relate prime and composite numbers, factors and multiples within the context of fractions.


Obj. 1 - Determine if a number to 50 is prime or composite

Obj. 2 - Determine a complete list of whole number factor pairs for a number to 50Obj. 3 - Determine all the factors of a whole number to 50Obj. 7 - Determine the multiple(s) of a number

FL MA.5.A.6.2 - Use the order of operations to simplify expressions which include exponents and parentheses.


Obj. 96 - Evaluate a numerical expression involving three operations, with no parentheses, using order of operationsObj. 97 - Evaluate a numerical expression involving three operations, with parentheses, using order of operations

FL MA.5.A.6.3 - Describe real-world situations using positive and negative numbers.


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FL MA.5.A.6.4 - Compare, order, and graph integers, including integers shown on a number line.FL MA.5.A.6.5 - Solve non-routine problems using various strategies including "solving a simpler problem" and "guess, check, and revise."

FL MA.5.S.7 - Data AnalysisFL MA.5.S.7.1 - Construct and analyze line graphs and double bar graphs.


Obj. 152 - Answer a question using information from a line graph that does not start at zero or has a broken vertical scaleObj. 153 - WP: Extend a line graph to solve a problemObj. 154 - Read a double- or stacked-bar graphObj. 155 - Use a double- or stacked-bar graph to represent data

Obj. 156 - Answer a question using information from a double- or stacked-bar graph

FL MA.5.S.7.2 - Differentiate between continuous and discrete data and determine ways to represent those using graphs and diagrams.


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Agency Tag Set NameFlorida, Math, 2007, Sixth Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.6.A.1 - Develop an understanding of and fluency with multiplication and division of fractions and decimals.FL MA.6.A.1.1 - Explain and justify procedures for multiplying and dividing fractions and decimals.

FL MA.6.A.1.2 - Multiply and divide fractions and decimals efficiently.

Topic 6 - Decimals: Multiply and Divide

Obj. 53 - Multiply decimals

Obj. 54 - Multiply money expressions by whole #sObj. 55 - WP: Multiply decimalsObj. 56 - Divide decimalsObj. 57 - Divide whole #s by decimalsObj. 58 - Multiply & divide decimals by a power of 10Obj. 59 - Divide money expressions by whole #sObj. 60 - WP: Divide decimals

Topic 9 - Fractions: Multiply and Divide

Obj. 85 - Multiply fractions

Obj. 86 - Multiply mixed #s by fractionsObj. 87 - Multiply mixed #sObj. 88 - Multiply fractions by whole #sObj. 89 - Multiply three fractionsObj. 90 - WP: Multiply fractions & mixed #sObj. 91 - Divide fractionsObj. 92 - Divide mixed #s by fractions

Obj. 93 - Divide mixed #sObj. 94 - Divide whole #s & fractions

Obj. 95 - WP: Divide fractions & mixed #s

FL MA.6.A.1.3 - Solve real-world problems involving multiplication and division of fractions and decimals.



Obj. 54 - Multiply money expressions by whole #sObj. 55 - WP: Multiply decimalsObj. 56 - Divide decimalsObj. 57 - Divide whole #s by decimals

Standards List with Aligned Product SkillsProduct NameAccelerated Math Basic Math


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Agency Tag Set NameFlorida, Math, 2007, Sixth Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


Obj. 58 - Multiply & divide decimals by a power of 10Obj. 59 - Divide money expressions by whole #sObj. 60 - WP: Divide decimals



Obj. 86 - Multiply mixed #s by fractionsObj. 87 - Multiply mixed #sObj. 88 - Multiply fractions by whole #sObj. 89 - Multiply three fractionsObj. 90 - WP: Multiply fractions & mixed #sObj. 91 - Divide fractionsObj. 92 - Divide mixed #s by fractions



FL MA.6.A.2 - Connect ratio and rates to multiplication and division.FL MA.6.A.2.1 - Use reasoning about multiplication and division to solve ratio and rate problems.

Topic 12 - Percents, Ratios, and Proportions

Obj. 117 - Ratios as fractions, lowest terms

Obj. 118 - Ratios as rates, lowest termsObj. 120 - Equivalent ratiosObj. 121 - Unit rates

FL MA.6.A.2.2 - Interpret and compare ratios and rates.FL MA.6.G.3 - Write, interpret, and use mathematical expressions and equations.FL MA.6.A.3.1 - Write and evaluate mathematical expressions that correspond to given situations.FL MA.6.A.3.2 - Write, solve, and graph one- and two- step linear equations and inequalities.FL MA.6.A.3.3 - Works backward with two-step function rules to undo expressions.FL MA.6.A.3.4 - Solve problems given a formula.


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FL MA.6.A.3.5 - Apply the Commutative, Associative, and Distributive Properties to show that two expressions are equivalent.FL MA.6.A.3.6 - Construct and analyze tables, graphs and equations to describe linear functions and other simple relations using both common language and algebraic notation.

FL MA.6.G.4 - Geometry and MeasurementFL MA.6.G.4.1 - Understand the concept of Pi, know common estimates of Pi (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles.

Topic 14 - Measurement: Length and Area

Obj. 141 - Circumference of circles

Obj. 142 - Area of circlesFL MA.6.G.4.2 - Find the perimeters and areas of composite two-dimensional figures, including non-rectangular figures (such as semicircles) using various strategies.

FL MA.6.G.4.3 - Determine a missing dimension of a plane figure or prism, given its area or volume and some of the dimensions, or determine the area or volume given the dimensions.

Topic 14 - Measurement: Length and Area

Obj. 136 - Area of rectangles

Obj. 137 - WP: Perimeter & area of rectanglesObj. 138 - Area of parallelogramsObj. 139 - Area of trianglesObj. 140 - Area of trapezoids

Topic 15 - Volume, Capacity, and Temperature

Obj. 143 - Volume of rectangular solids

FL MA.6.A.5 - Number and OperationsFL MA.6.A.5.1 - Use equivalent forms of fractions, decimals, and percents to solve problems.

Topic 7 - Rename and Simplify Fractions

Obj. 67 - Equivalent fractions, given denominator

Obj. 68 - Equivalent fractionsObj. 69 - Mixed #s to improper fractionsObj. 70 - Improper fractions to mixed #s

Topic 10 - Decimals and Fractions

Obj. 97 - Decimals to fractions

Obj. 98 - Decimals to mixed #s


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Obj. 100 - Fractions to decimalsObj. 101 - Mixed #s to decimalsObj. 103 - WP: Decimal & fractional equivalents

Topic 11 - Fractions, Percents, and Decimals

Obj. 104 - Decimal to percents

Obj. 105 - Percents to decimalsObj. 106 - Mixed # percents to decimalsObj. 107 - WP: Decimal & percent equivalentsObj. 108 - Percents to fractionsObj. 109 - Fractions to percentsObj. 110 - WP: Fractional & percent equivalents

FL MA.6.A.5.2 - Compare and order fractions, decimals, and percents, including finding their approximate location on a number line.

Topic 4 - Introduction to Decimals

Obj. 39 - Compare decimals

Topic 7 - Rename and Simplify Fractions

Obj. 63 - Graph fractions on number linesObj. 71 - Order fractions

FL MA.6.A.5.3 - Estimate the results of computations with fractions, decimals, and percents and judge the reasonableness of the results.

FL MA.6.S.6 - Data AnalysisFL MA.6.S.6.1 - Determine the measures of central tendency (mean, median, and mode) and variability (range) for a given set of data.

Topic 13 - Statistics, Graphs, and Probability

Obj. 126 - Averages (means) of data sets

Obj. 127 - Medians of data setsObj. 128 - Modes of data setsObj. 129 - Ranges of data sets

FL MA.6.S.6.2 - Select and analyze the measures of central tendency or variability to represent, describe, analyze and/or summarize a data set for the purposes of answering questions appropriately.


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Agency Tag Set NameFlorida, Math, 2007, Sixth Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.6.A.1 - Develop an understanding of and fluency with multiplication and division of fractions and decimals.FL MA.6.A.1.1 - Explain and justify procedures for multiplying and dividing fractions and decimals.


Obj. 58 - Relate division by a decimal fraction power of ten to multiplication by the related whole number power of ten

FL MA.6.A.1.2 - Multiply and divide fractions and decimals efficiently.


Obj. 22 - Multiply a fraction by a fraction

Obj. 23 - Multiply a mixed number by a whole numberObj. 24 - Multiply a mixed number by a fractionObj. 25 - Multiply a mixed number by a mixed numberObj. 28 - Divide a fraction by a whole number resulting in a fractional quotientObj. 29 - Divide a fraction by a fractionObj. 30 - Divide a whole number by a fraction resulting in a fractional quotientObj. 31 - Divide a mixed number by a fractionObj. 32 - Divide a mixed number by a mixed numberObj. 33 - WP: Multiply or divide a fraction by a fractionObj. 34 - WP: Multiply or divide two mixed numbers or a mixed number and a fractionObj. 43 - Multiply a decimal number through thousandths by a whole numberObj. 44 - WP: Multiply a decimal number through thousandths by a whole numberObj. 45 - WP: Multiply a money expression by a decimal numberObj. 46 - Multiply a decimal number greater than one, in tenths, by a decimal number in tenthsObj. 47 - Multiply decimal numbers to thousandths using basic facts

Obj. 48 - Multiply decimal numbers less than one in hundredths or thousandths



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Obj. 49 - Multiply a decimal number greater than one by a decimal number to thousandths that has only 1 nonzero digitObj. 50 - Multiply decimal numbers greater than one where the product has 2 or 3 decimal places

Obj. 51 - WP: Multiply two decimal numbers to thousandthsObj. 53 - Divide a decimal number by 10, 100, or 1,000Obj. 55 - Divide a decimal number through thousandths by a 1- or 2-digit whole number where the quotient has 2-5 decimal placesObj. 56 - WP: Divide a decimal number through thousandths by a 1- or 2-digit whole numberObj. 57 - Divide a whole number or a decimal number by 0.1, 0.01, or 0.001Obj. 59 - Locate the decimal point in the quotient of a whole number, or a decimal number, divided by a decimal numberObj. 60 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a whole numberObj. 61 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a decimal number to thousandths

Obj. 62 - Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed

Obj. 63 - Divide a decimal number by a decimal number through thousandths, rounded quotient if neededObj. 64 - WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed


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Obj. 65 - WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed

FL MA.6.A.1.3 - Solve real-world problems involving multiplication and division of fractions and decimals.


Obj. 33 - WP: Multiply or divide a fraction by a fraction

Obj. 34 - WP: Multiply or divide two mixed numbers or a mixed number and a fractionObj. 44 - WP: Multiply a decimal number through thousandths by a whole numberObj. 45 - WP: Multiply a money expression by a decimal numberObj. 51 - WP: Multiply two decimal numbers to thousandthsObj. 56 - WP: Divide a decimal number through thousandths by a 1- or 2-digit whole numberObj. 64 - WP: Divide a whole number by a decimal number through thousandths, rounded quotient if neededObj. 65 - WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed

FL MA.6.A.2 - Connect ratio and rates to multiplication and division.FL MA.6.A.2.1 - Use reasoning about multiplication and division to solve ratio and rate problems.


Obj. 83 - WP: Determine a part given a ratio and the whole where the whole is less than 50Obj. 84 - WP: Determine a part given a ratio and another part where the whole is less than 50Obj. 85 - WP: Determine the whole given a ratio and a part where the whole is less than 50Obj. 86 - WP: Determine a unit rate with a whole number valueObj. 87 - WP: Use a unit rate, with a whole number or whole cent value, to solve a problem

FL MA.6.A.2.2 - Interpret and compare ratios and rates.


Obj. 81 - WP: Determine a ratio using whole numbers less than 50Obj. 82 - Determine if ratios, using whole numbers less than 50, are equivalent


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FL MA.6.G.3 - Write, interpret, and use mathematical expressions and equations.FL MA.6.A.3.1 - Write and evaluate mathematical expressions that correspond to given situations.


Obj. 88 - Evaluate a numerical expression of four or more operations, with parentheses, using order of operations

Topic 2 - Algebra Obj. 93 - Use a variable expression with two operations to represent a verbal expressionObj. 95 - WP: Use a variable expression with two operations to represent a situationObj. 96 - WP: Use a 2-variable equation to represent a situation involving a direct proportionObj. 98 - Evaluate a 1-variable expression, with two or three operations, using whole number substitutionObj. 99 - Evaluate a 2-variable expression, with two or three operations, using whole number substitutionObj. 100 - WP: Evaluate a 1- or 2-variable expression or formula using whole numbers

FL MA.6.A.3.2 - Write, solve, and graph one- and two- step linear equations and inequalities.

Topic 2 - Algebra Obj. 97 - WP: Use a 2-variable linear equation to represent a situation

Obj. 101 - Solve a 1-step equation involving whole numbers

FL MA.6.A.3.3 - Works backward with two-step function rules to undo expressions.FL MA.6.A.3.4 - Solve problems given a formula.FL MA.6.A.3.5 - Apply the Commutative, Associative, and Distributive Properties to show that two expressions are equivalent.

Topic 2 - Algebra Obj. 92 - Determine which property of addition or multiplication justifies a step in the simplification of an expression

FL MA.6.A.3.6 - Construct and analyze tables, graphs and equations to describe linear functions and other simple relations using both common language and algebraic notation.

Topic 2 - Algebra Obj. 104 - Use a 2-variable equation to construct an input-output table

Obj. 105 - Use a 2-variable equation to represent a relationship expressed in a table


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Obj. 106 - Use a first quadrant graph to represent the values in an input-output tableObj. 107 - Use a graph to determine the entries in an input-output table

FL MA.6.G.4 - Geometry and MeasurementFL MA.6.G.4.1 - Understand the concept of Pi, know common estimates of Pi (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles.


Obj. 123 - Answer a question about the parts and relationships in a circle

Obj. 124 - Determine the circumference of a circle using 22/7 for piObj. 125 - Determine the circumference of a circle using 3.14 for piObj. 126 - WP: Determine the circumference of a circle

FL MA.6.G.4.2 - Find the perimeters and areas of composite two-dimensional figures, including non-rectangular figures (such as semicircles) using various strategies.


Obj. 120 - Determine the perimeter of a complex shape

Obj. 121 - Determine the area of a complex shapeObj. 122 - WP: Determine the perimeter or the area of a complex shape

FL MA.6.G.4.3 - Determine a missing dimension of a plane figure or prism, given its area or volume and some of the dimensions, or determine the area or volume given the dimensions.


Obj. 127 - Determine the volume of a prism with a right triangle base

FL MA.6.A.5 - Number and OperationsFL MA.6.A.5.1 - Use equivalent forms of fractions, decimals, and percents to solve problems.


Obj. 68 - Convert a mixed number to a decimal number

Obj. 69 - Convert a decimal number to a mixed numberObj. 70 - Convert a fraction to a repeating decimal numberObj. 72 - Convert a decimal number to a percentage


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Obj. 73 - Convert a percentage to a decimal numberObj. 74 - Convert a fraction to a percentageObj. 75 - Convert a percentage to a fractionObj. 79 - Calculate a percent of a whole number where the answer is a whole number

FL MA.6.A.5.2 - Compare and order fractions, decimals, and percents, including finding their approximate location on a number line.


Obj. 76 - Compare numbers in decimal and fractional forms

Obj. 77 - Order numbers in decimal and fractional forms

FL MA.6.A.5.3 - Estimate the results of computations with fractions, decimals, and percents and judge the reasonableness of the results.


Obj. 52 - WP: Estimate the product of two decimals

Obj. 66 - WP: Estimate the quotient of two decimals

FL MA.6.S.6 - Data AnalysisFL MA.6.S.6.1 - Determine the measures of central tendency (mean, median, and mode) and variability (range) for a given set of data.


Obj. 147 - Determine the mean of a set of whole number data

Obj. 148 - Determine the median of a set of whole number dataObj. 149 - Determine the mode or modes of a set of whole number data

FL MA.6.S.6.2 - Select and analyze the measures of central tendency or variability to represent, describe, analyze and/or summarize a data set for the purposes of answering questions appropriately.


Obj. 150 - Determine the effect of a change in a data set on the mean and/or median


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Agency Tag Set NameFlorida, Math, 2007, Seventh Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.7.A.1 - Develop an understanding of and apply proportionality, including similarity.FL MA.7.A.1.1 - Distinguish between situations that are proportional or not proportional and use proportions to solve problems.


Obj. 122 - Identify proportions

Obj. 123 - Write proportionsObj. 124 - Solve proportionsObj. 125 - WP: Solve proportions

FL MA.7.A.1.2 - Solve percent problems, including problems involving discounts, simple interest, taxes, tips and percents of increase or decrease.


Obj. 113 - Percent of a number

Obj. 114 - Find percent when total is knownObj. 115 - Find total when percent is knownObj. 116 - WP: Percents

FL MA.7.A.1.3 - Solve problems involving similar figures.FL MA.7.A.1.4 - Graph proportional relationships and identify the unit rate as the slope of the related linear function.FL MA.7.A.1.5 - Distinguish direct variation from other relationships, including inverse variation.FL MA.7.A.1.6 - Apply proportionality to measurement in multiple contexts, including scale drawings and constant speed.FL MA.7.G.2 - Develop an understanding of and use formulas to determine surface areas and volumes of three-dimensional shapes.FL MA.7.G.2.1 - Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones.

Topic 15 - Volume, Capacity, and Temperature

Obj. 143 - Volume of rectangular solids

Obj. 146 - Volume of cylinders & conesObj. 147 - Volume of spheres

FL MA.7.G.2.2 - Use formulas to find surface areas and volume of three-dimensional composite shapes.



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Agency Tag Set NameFlorida, Math, 2007, Seventh Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


FL MA.7.A.3 - Develop an understanding of operations on all rational numbers and solving linear equations.FL MA.7.A.3.1 - Use and justify the rules for adding, subtracting, multiplying, dividing, and finding the absolute value of integers.FL MA.7.A.3.2 - Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts.

Topic 5 - Decimals: Add and Subtract

Obj. 43 - Add decimals & whole #s

Obj. 44 - Add 2 decimalsObj. 45 - Add 3+ decimalsObj. 46 - Add money expressionsObj. 47 - WP: Add decimalsObj. 48 - Subtract decimals from whole #sObj. 49 - Subtract decimalsObj. 50 - Repeated subtraction, decimalsObj. 51 - Subtract money expressionsObj. 52 - WP: Subtract decimals



Obj. 54 - Multiply money expressions by whole #sObj. 55 - WP: Multiply decimalsObj. 56 - Divide decimalsObj. 57 - Divide whole #s by decimalsObj. 58 - Multiply & divide decimals by a power of 10Obj. 59 - Divide money expressions by whole #sObj. 60 - WP: Divide decimals

Topic 8 - Fractions: Add and Subtract

Obj. 73 - Add like fractions

Obj. 74 - Add like mixed #sObj. 75 - Add unlike fractionsObj. 76 - Add unlike mixed #sObj. 77 - WP: Add fractions & mixed #sObj. 78 - Subtract like fractionsObj. 79 - Subtract like mixed #sObj. 80 - Subtract unlike fractions


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Obj. 81 - Subtract unlike mixed #sObj. 82 - Subtract mixed #s from whole #sObj. 83 - Subtract fractions, mixed #s, & whole #sObj. 84 - WP: Subtract fractions & mixed #s



Obj. 86 - Multiply mixed #s by fractionsObj. 87 - Multiply mixed #sObj. 89 - Multiply three fractionsObj. 90 - WP: Multiply fractions & mixed #sObj. 91 - Divide fractionsObj. 92 - Divide mixed #s by fractions



FL MA.7.A.3.3 - Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients.FL MA.7.A.3.4 - Use the properties of equality to represent an equation in a different way and to show that two equations are equivalent in a given context.FL MA.7.G.4 - Geometry and MeasurementFL MA.7.G.4.1 - Determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and apply these relationships to solve problems.

FL MA.7.G.4.2 - Predict the results of transformations and draw transformed figures, with and without the coordinate plane.FL MA.7.G.4.3 - Identify and plot ordered pairs in all four quadrants of the coordinate plane.


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FL MA.7.G.4.4 - Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)), dimensions, and derived units to solve problems.

FL MA.7.A.5 - Number and OperationsFL MA.7.A.5.1 - Express rational numbers as terminating or repeating decimals.

Topic 10 - Decimals and Fractions

Obj. 100 - Fractions to decimals

Obj. 101 - Mixed #s to decimalsObj. 102 - Fractions to repeating decimals

FL MA.7.A.5.2 - Solve non-routine problems by working backwards.FL MA.7.S.6 - Data AnalysisFL MA.7.S.6.1 - Evaluate the reasonableness of a sample to determine the appropriateness of generalizations made about the population.FL MA.7.S.6.2 - Construct and analyze histograms, stem-and-leaf plots, and circle graphs.FL MA.7.P.7 - ProbabilityFL MA.7.P.7.1 - Determine the outcome of an experiment and predict which events are likely or unlikely, and if the experiment is fair or unfair.


Obj. 131 - Find possible outcomes

FL MA.7.P.7.2 - Determine, compare, and make predictions based on experimental or theoretical probability of independent or dependent events,


Obj. 132 - Probability of single events


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Agency Tag Set NameFlorida, Math, 2007, Seventh Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.7.A.1 - Develop an understanding of and apply proportionality, including similarity.FL MA.7.A.1.1 - Distinguish between situations that are proportional or not proportional and use proportions to solve problems.


Obj. 46 - WP: Determine a part, given part to whole ratio and the whole, where the whole is greater than 50Obj. 47 - WP: Determine a part, given part to part ratio and the whole, where the whole is greater than 50

Obj. 48 - WP: Determine a part, given part to whole ratio and a part, where the whole is greater than 50Obj. 49 - WP: Determine a part, given part to part ratio and a part, where the whole is greater than 50Obj. 50 - WP: Determine the whole, given part to whole ratio and a part, where the whole is greater than 50

Obj. 51 - WP: Determine the whole, given part to part ratio and a part, where the whole is greater than 50

Obj. 52 - WP: Determine a unit rate

Obj. 53 - WP: Use a unit rate to solve a problem

Topic 2 - Algebra Obj. 70 - Solve a proportion involving decimalsObj. 71 - WP: Solve a proportionObj. 72 - WP: Use direct variation to solve a problem


Obj. 136 - Use a proportion to make an estimate, related to a population, based on a sample

FL MA.7.A.1.2 - Solve percent problems, including problems involving discounts, simple interest, taxes, tips and percents of increase or decrease.


Obj. 18 - Determine a percent of a whole number using less than 100%

Obj. 19 - Determine a percent of a whole number using more than 100%

Obj. 20 - Determine the percent a whole number is of another whole number, with a result less than 100%



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Obj. 21 - Determine a whole number given a part and a percentage less than 100%Obj. 22 - WP: Determine a percent of a whole number using less than 100%Obj. 23 - WP: Determine the percent a whole number is of another whole number, with a result less than 100%

Obj. 24 - WP: Determine a whole number given a part and a percentageObj. 25 - WP: Determine the percent of decrease applied to a number

Obj. 26 - WP: Determine the percent of increase applied to a number

Obj. 27 - WP: Determine the result of applying a percent of decrease to a valueObj. 28 - WP: Determine the result of applying a percent of increase to a value

FL MA.7.A.1.3 - Solve problems involving similar figures.


Obj. 104 - Determine a missing dimension given two similar shapes

Obj. 105 - WP: Solve a problem involving similar shapes

FL MA.7.A.1.4 - Graph proportional relationships and identify the unit rate as the slope of the related linear function.FL MA.7.A.1.5 - Distinguish direct variation from other relationships, including inverse variation.FL MA.7.A.1.6 - Apply proportionality to measurement in multiple contexts, including scale drawings and constant speed.


Obj. 106 - Determine the scale for a drawing or map question

Obj. 107 - WP: Solve a problem involving a map or scale drawing

FL MA.7.G.2 - Develop an understanding of and use formulas to determine surface areas and volumes of three-dimensional shapes.


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FL MA.7.G.2.1 - Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones.


Obj. 93 - Determine the volume of a rectangular or a triangular prism

Obj. 94 - Determine the volume of a cylinderObj. 95 - WP: Determine the volume of a cylinderObj. 96 - WP: Solve a problem involving the volume of a geometric solidObj. 97 - Determine the surface area of a 3-dimensional shape given a net

Obj. 98 - Determine the surface area of a triangular prismObj. 99 - Determine the surface area of a cylinderObj. 100 - WP: Determine the surface area of a geometric solid

FL MA.7.G.2.2 - Use formulas to find surface areas and volume of three-dimensional composite shapes.

FL MA.7.A.3 - Develop an understanding of operations on all rational numbers and solving linear equations.FL MA.7.A.3.1 - Use and justify the rules for adding, subtracting, multiplying, dividing, and finding the absolute value of integers.


Obj. 33 - Evaluate the absolute value of an integer

Obj. 37 - Add integersObj. 39 - Subtract integersObj. 40 - WP: Add and subtract using integersObj. 41 - Multiply integersObj. 42 - Divide integersObj. 43 - WP: Multiply or divide integers

FL MA.7.A.3.2 - Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts.


Obj. 5 - Evaluate a whole number power of a whole number

Obj. 30 - WP: Answer a question involving a fraction and a decimal


081309Page 42 of 110



Obj. 31 - WP: Solve a multi-step problem involving decimal numbersObj. 32 - WP: Solve a multi-step problem involving fractions or mixed numbersObj. 35 - Add integers using a number lineObj. 36 - Add integers using a model

Obj. 37 - Add integersObj. 38 - Subtract integers using a number lineObj. 39 - Subtract integersObj. 40 - WP: Add and subtract using integersObj. 41 - Multiply integersObj. 42 - Divide integersObj. 43 - WP: Multiply or divide integers

FL MA.7.A.3.3 - Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients.

Topic 2 - Algebra Obj. 73 - Solve a 1-step linear equation involving integers

Obj. 74 - Solve a 2-step linear equation involving integers

FL MA.7.A.3.4 - Use the properties of equality to represent an equation in a different way and to show that two equations are equivalent in a given context.FL MA.7.G.4 - Geometry and MeasurementFL MA.7.G.4.1 - Determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and apply these relationships to solve problems.

FL MA.7.G.4.2 - Predict the results of transformations and draw transformed figures, with and without the coordinate plane.


Obj. 121 - Determine the coordinates of a translated, a rotated, or a reflected shape on the Cartesian plane

FL MA.7.G.4.3 - Identify and plot ordered pairs in all four quadrants of the coordinate plane.

Topic 2 - Algebra Obj. 82 - Use a graph to represent the ordered pairs in a function table


Obj. 117 - Determine the location of a simple shape on the Cartesian plane given the coordinates of its vertices


081309Page 43 of 110



FL MA.7.G.4.4 - Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)), dimensions, and derived units to solve problems.


Obj. 110 - Convert a rate from one unit to another with a change in one unit

Obj. 111 - Convert a rate from one unit to another with a change in both unitsObj. 112 - Determine approximate conversions between metric and customary units of lengthObj. 113 - Determine approximate conversions between metric and customary units of capacityObj. 114 - Determine approximate conversions between metric and customary units of weight/mass

FL MA.7.A.5 - Number and OperationsFL MA.7.A.5.1 - Express rational numbers as terminating or repeating decimals.


Obj. 13 - Convert a percentage to a decimal number greater than 1

Obj. 15 - Convert a percentage to a decimal number in thousandths

FL MA.7.A.5.2 - Solve non-routine problems by working backwards.FL MA.7.S.6 - Data AnalysisFL MA.7.S.6.1 - Evaluate the reasonableness of a sample to determine the appropriateness of generalizations made about the population.FL MA.7.S.6.2 - Construct and analyze histograms, stem-and-leaf plots, and circle graphs.


Obj. 125 - Answer a question using information from a circle graph using percentage calculations

Obj. 126 - Use a circle graph to represent percentage dataObj. 127 - Use a histogram to represent dataObj. 128 - Answer a question using information from a histogram

FL MA.7.P.7 - ProbabilityFL MA.7.P.7.1 - Determine the outcome of an experiment and predict which events are likely or unlikely, and if the experiment is fair or unfair.


081309Page 44 of 110



FL MA.7.P.7.2 - Determine, compare, and make predictions based on experimental or theoretical probability of independent or dependent events,


Obj. 137 - Determine the probability for independent events

Obj. 138 - Determine the probability for dependent events


081309Page 45 of 110

Agency Tag Set NameFlorida, Math, 2007, Eighth Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.8.A.1 - Analyze and represent linear functions and solve linear equations and systems of linear equations.FL MA.8.A.1.1 - Create and interpret tables, graphs, and models to represent, analyze, and solve problems related to linear equations, including analysis of domain, range and the difference between discrete and continuous data.

Topic 2 - Algebra Obj. 42 - Determine the graph of a line for a given table of values

Obj. 43 - Determine the table of values that represents a linear equation with rational coefficients in two variablesObj. 44 - Determine a linear equation in two variables that represents a table of valuesObj. 45 - Determine the graph of a 2-operation linear functionObj. 50 - WP: Determine a linear graph that can represent a situation

FL MA.8.A.1.2 - Interpret the slope and the x- and y-intercepts when graphing a linear equation for a real-world problem.

Topic 2 - Algebra Obj. 48 - WP: Interpret the meaning of the slope of a graphed line

Obj. 49 - WP: Interpret the meaning of the y-intercept of a graphed line

FL MA.8.A.1.3 - Use tables, graphs, and models to represent, analyze, and solve real-world problems related to systems of linear equations.

FL MA.8.A.1.4 - Identify the solution to a system of linear equations using graphs.FL MA.8.A.1.5 - Translate among verbal, tabular, graphical and algebraic representations of linear functions.

Topic 2 - Algebra Obj. 42 - Determine the graph of a line for a given table of values

Obj. 43 - Determine the table of values that represents a linear equation with rational coefficients in two variablesObj. 44 - Determine a linear equation in two variables that represents a table of values



081309Page 46 of 110

Agency Tag Set NameFlorida, Math, 2007, Eighth Grade, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


Obj. 45 - Determine the graph of a 2-operation linear functionObj. 50 - WP: Determine a linear graph that can represent a situation

FL MA.8.A.1.6 - Compare the graphs of linear and non-linear functions for real-world situations.FL MA.8.G.2 - Analyze two- and three-dimensional figures by using distance and angle.FL MA.8.G.2.1 - Use similar triangles to solve problems that include height and distances.FL MA.8.G.2.2 - Classify and determine the measure of angles, including angles created when parallel lines are cut by transversals.


Obj. 68 - Identify angle relationships formed by parallel lines cut by a transversal

Obj. 69 - Determine an angle measure formed by parallel lines cut by a transversal

FL MA.8.G.2.3 - Demonstrate that the sum of the angles in a triangle is 180-degrees and apply this fact to find unknown measure of angles, and the sum of angles in polygons.

FL MA.8.G.2.4 - Validate and apply Pythagorean Theorem to find distances in real world situations or between points in the coordinate plane.


Obj. 71 - Determine the length of the hypotenuse of a right triangle using the Pythagorean theorem

Obj. 72 - Determine the length of a leg of a right triangle using the Pythagorean theoremObj. 73 - WP: Use the Pythagorean theorem to find a length or a distance

Obj. 74 - Determine a distance on the Cartesian plane using the Pythagorean theorem

FL MA.8.S.3 - Analyze and summarize data sets.FL MA.8.S.3.1 - Select, organize and construct appropriate data displays, including box and whisker plots, scatter plots, and lines of best fit to convey information and make conjectures about possible relationships.


Obj. 76 - Use a circle graph to organize data


081309Page 47 of 110



Obj. 77 - Use a scatter plot to organize dataObj. 79 - Approximate a trend line for a scatter plotObj. 83 - Use a box-and-whisker plot to organize data

FL MA.8.S.3.2 - Determine and describe how changes in data values impact measures of central tendency.


Obj. 88 - Analyze the effect that changing elements in a data set has on the mean, the median, or the range

FL MA.8.A.4 - AlgebraFL MA.8.A.4.1 - Solve literal equations for a specified variable.FL MA.8.A.4.2 - Solve and graph one- and two-step inequalities in one variable.

Topic 2 - Algebra Obj. 52 - Solve a 2-step linear inequality in one variable

Obj. 54 - WP: Solve a problem involving a 2-step linear inequality in one variableObj. 55 - Determine the graph of the solutions to a 2-step linear inequality in one variable

FL MA.8.G.5 - Geometry and MeasurementFL MA.8.G.5.1 - Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived units to solve problems.


Obj. 56 - WP: Solve a problem involving mixed units

Obj. 57 - WP: Solve a distance-rate-time problem that involves unit conversions

FL MA.8.A.6 - Number and OperationsFL MA.8.A.6.1 - Use exponents and scientific notation to write large and small numbers and vice versa and to solve problems.


Obj. 4 - Convert a number less than 1 to scientific notation

Obj. 5 - Convert a number less than 1 from scientific notation to standard form


081309Page 48 of 110



FL MA.8.A.6.2 - Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions.

FL MA.8.A.6.3 - Simplify real number expressions using the laws of exponents.


Obj. 1 - Evaluate an integer raised to a whole number power

Obj. 2 - Evaluate a zero or negative power of an integerObj. 3 - Evaluate a numerical expression involving integer exponents and/or integer bases

FL MA.8.A.6.4 - Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.


Obj. 3 - Evaluate a numerical expression involving integer exponents and/or integer bases

Obj. 10 - Evaluate a numerical expression involving nested parenthesesObj. 21 - Determine a percent of a number given a percent that is not a whole percentObj. 22 - Determine the percent one number is of another numberObj. 23 - Determine a number given a part and a decimal percentage or a percentage more than 100%

Obj. 24 - WP: Determine a given percent of a numberObj. 25 - WP: Determine the percent one number is of another number

Obj. 26 - WP: Determine a number given a part and a decimal percentage or a percentage more than 100%Obj. 29 - WP: Find the result of two consecutive percentage changes applied to a given number


081309Page 49 of 110

Agency Tag Set NameFlorida, Math, 2007, Algebra, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.912.A - AlgebraFL MA.912.A.1 - Expand and deepen understanding of real and complex numbers by comparing expressions and performing arithmetic computations, especially those involving square roots and exponents. Use the properties of real numbers to simplify algebraic expressions and equations, and they convert between different measurement units using dimensional analysis.FL MA.912.A.1.1 - *Know equivalent forms of real numbers (including integer exponents and radicals, percents, scientific notation, absolute value, rational numbers, irrational numbers).FL MA.912.A.1.2 - *Compare real number expressions.


Obj. 6 - Compare expressions involving unlike forms of real numbers

Topic 5 - Properties of Powers Obj. 66 - Compare monomial numerical expressions using the properties of powers

FL MA.912.A.1.3 - *Simplify real number expressions using the laws of exponents.

Topic 5 - Properties of Powers Obj. 58 - Apply the product of powers property to a monomial numerical expressionObj. 60 - Apply the power of a power property to a monomial numerical expressionObj. 63 - Apply the quotient of powers property to monomial numerical expressions

FL MA.912.A.1.4 - *Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real-world problems.


Obj. 1 - Evaluate a numerical expression involving multiple forms of rational numbers

Obj. 3 - Evaluate a multi-step numerical expression involving absolute valueObj. 5 - Evaluate a numerical expression involving one or more exponents and multiple forms of rational numbers

Topic 10 - Radical Expressions Obj. 101 - Add and/or subtract numerical radical expressions

Standards List with Aligned Product SkillsProduct NameAccelerated Math Second Edition Algebra 1

Accelerated Math Grades 9 - 12

*State-Assessed Standards081309Page 50 of 110

Agency Tag Set NameFlorida, Math, 2007, Algebra, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


Obj. 102 - Multiply a binomial numerical radical expression by a numerical radical expression

FL MA.912.A.1.5 - *Use dimensional (unit) analysis to perform conversions between units of measure, including rates.FL MA.912.A.1.6 - Identify the real and imaginary parts of complex numbers and perform basic operations.FL MA.912.A.1.7 - Represent complex numbers geometrically.FL MA.912.A.1.8 - Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.FL MA.912.A.2 - Draw and interpret graphs of relations. Understand the notation and concept of a function, find domains and ranges, and link equations to functions.

FL MA.912.A.2.1 - *Create a graph to represent a real-world situation.FL MA.912.A.2.2 - *Interpret a graph representing a real-world situation.

FL MA.912.A.2.3 - *Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions.

Topic 2 - Relations and Functions

Obj. 8 - Determine if a relation is a function

FL MA.912.A.2.4 - *Determine the domain and range of a relation.

Topic 2 - Relations and Functions

Obj. 9 - Determine the domain or range of a function

FL MA.912.A.2.5 - Graph absolute value equations and inequalities in two variables.

Topic 3 - Linear Equations and Inequalities

Obj. 37 - Determine the graph of a 2-variable absolute value equation

FL MA.912.A.2.6 - Identify and graph common functions (including but not limited to linear, rational, quadratic, cubic, radical, absolute value).

Topic 11 - Radical Equations and Functions

Obj. 111 - Determine the graph of a radical function

Topic 13 - Rational Equations and Functions

Obj. 126 - Determine the graph of a rational function

FL MA.912.A.2.7 - Perform operations (addition, subtraction, division and multiplication) of functions algebraically, numerically, and graphically.





FL MA.912.A.2.8 - Determine the composition of functions.FL MA.912.A.2.9 - Recognize, interpret, and graph functions defined piece-wise, with and without technology.FL MA.912.A.2.10 - Describe and graph transformations of functions.FL MA.912.A.2.11 - Solve problems involving functions and their inverses.

FL MA.912.A.2.12 - *Solve problems using direct, inverse, and joint variations.


Obj. 19 - WP: Solve a direct- or inverse-variation problem

FL MA.912.A.2.13 - Solve real-world problems involving relations and functions.


Obj. 112 - WP: Solve a problem involving a radical function

FL MA.912.A.3 - Solve linear equations and inequalities.FL MA.912.A.3.1 - *Solve linear equations in one variable that include simplifying algebraic expressions.


Obj. 14 - Solve a 1-variable linear equation that requires simplification and has the variable on one side

Obj. 15 - Solve a 1-variable linear equation with the variable on both sides

FL MA.912.A.3.2 - *Identify and apply the distributive, associative, and commutative properties of real numbers and the properties of equality.FL MA.912.A.3.3 - *Solve literal equations for a specified variable.


Obj. 24 - Rewrite an equation to solve for a specified variable

FL MA.912.A.3.4 - *Solve and graph simple and compound inequalities in one variable and be able to justify each step in a solution.


Obj. 21 - Solve a 1-variable linear inequality with the variable on one side

Obj. 22 - Solve a 1-variable linear inequality with the variable on both sidesObj. 23 - Solve a 1-variable compound inequality

FL MA.912.A.3.5 - *Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.


Obj. 16 - WP: Determine a linear equation that can be used to solve a percent problem

FL MA.912.A.3.6 - Solve and graph the solutions of absolute value equations and inequalities with one variable.


Obj. 20 - Solve a 1-variable absolute value equation





Obj. 43 - Solve a 1-variable absolute value inequalityObj. 44 - Determine the graph of a 1-variable absolute value inequality

FL MA.912.A.3.7 - *Rewrite equations of a line into slope-intercept form and standard form.


Obj. 25 - Determine the slope-intercept form or the standard form of a linear equation

FL MA.912.A.3.8 - *Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form.


Obj. 29 - Determine the graph of a line using given information

Obj. 30 - Determine the graph of a linear equation given in slope-intercept, point-slope, or standard form

FL MA.912.A.3.9 - *Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line.


Obj. 26 - Determine the slope of a line given two points on the line

Obj. 27 - Determine the slope of a line given an equation of the lineObj. 28 - Determine the x- or y-intercept of a line given an equation

FL MA.912.A.3.10 - *Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line.


Obj. 32 - Determine an equation that represents a graphed line

Obj. 33 - Determine an equation for a line given the slope of the line and a point on the line that is not the y-interceptObj. 34 - Determine an equation of a line given two points on the lineObj. 36 - Determine an equation for a line that goes through a given point and is parallel or perpendicular to a given line





FL MA.912.A.3.11 - *Write an equation of a line that models a data set and use the equation or the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change.FL MA.912.A.3.12 - *Graph a linear equation or inequality in two variables with and without graphing technology. Write an equation or inequality represented by a given graph.


Obj. 40 - Determine the graph of a 2-variable linear inequality

Obj. 41 - Determine a 2-variable linear inequality represented by a graph

FL MA.912.A.3.13 - *Use a graph to approximate the solution of a system of linear equations or inequalities in two variables with and without technology.FL MA.912.A.3.14 - *Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.

Topic 4 - Systems of Linear Equations and Inequalities

Obj. 45 - Solve a system of linear equations in two variables by graphing

Obj. 46 - Solve a system of linear equations in two variables by substitutionObj. 47 - Solve a system of linear equations in two variables by eliminationObj. 49 - Solve a system of linear equations in two variables using any methodObj. 55 - Determine the graph of the solution set of a system of linear inequalities in two variables

FL MA.912.A.3.15 - *Solve real-world problems involving systems of linear equations and inequalities in two and three variables.


Obj. 51 - WP: Solve a mixture problem that can be represented by a system of linear equations

Obj. 52 - WP: Solve a motion problem that can be represented by a system of linear equationsObj. 53 - Solve a number problem that can be represented by a linear system of equations





Obj. 57 - WP: Determine possible solutions to a problem that can be represented by a system of linear inequalities

FL MA.912.A.4 - Perform operations on polynomials. Find factors of polynomials, learning special techniques for factoring quadratics. Understand the relationships among the solutions of polynomial equations, the zeros of a polynomial function, the x-intercepts of a graph, and the factors of a polynomial.

FL MA.912.A.4.1 - *Simplify monomials and monomial expressions using the laws of integral exponents.

Topic 5 - Properties of Powers Obj. 58 - Apply the product of powers property to a monomial numerical expression

Obj. 60 - Apply the power of a power property to a monomial numerical expressionObj. 61 - Apply the power of a power property to a monomial algebraic expressionObj. 62 - Apply the power of a product property to a monomial algebraic expressionObj. 63 - Apply the quotient of powers property to monomial numerical expressionsObj. 64 - Apply the quotient of powers property to monomial algebraic expressionsObj. 65 - Apply the power of a quotient property to monomial algebraic expressionsObj. 67 - Apply properties of exponents to monomial algebraic expressions

FL MA.912.A.4.2 - *Add, subtract, and multiply polynomials.

Topic 6 - Polynomial Expressions Obj. 69 - Simplify a polynomial expression by combining like terms

Obj. 70 - Add polynomial expressions

Obj. 71 - Subtract polynomial expressionsObj. 72 - Multiply a polynomial by a monomialObj. 73 - Multiply two binomials of the form (x +/- a)(x +/- b)





Obj. 74 - Multiply two binomials of the form (ax +/- b)(cx +/- d)Obj. 75 - Multiply two binomials of the form (ax +/- by)(cx +/- dy)Obj. 76 - Square a binomialObj. 77 - Multiply two nonlinear binomialsObj. 78 - Multiply a trinomial by a binomial

FL MA.912.A.4.3 - *Factor polynomial expressions.

Topic 7 - Factor Algebraic Expressions

Obj. 79 - Factor the GCF from a polynomial expressionObj. 80 - Factor trinomials that result in factors of the form (x +/- a)(x +/- b)

Obj. 81 - Factor trinomials that result in factors of the form (ax +/- b)(cx +/- d)Obj. 82 - Factor trinomials that result in factors of the form (ax +/- by)(cx +/- dy)Obj. 83 - Factor the difference of two squaresObj. 84 - Factor a perfect-square trinomialObj. 85 - Factor a polynomial that has a GCF and two linear binomial factors

FL MA.912.A.4.4 - *Divide polynomials by monomials and polynomials with various techniques, including synthetic division.

Topic 12 - Rational Expressions Obj. 117 - Divide a polynomial expression by a monomial

Obj. 118 - Divide a polynomial expression by a binomial

FL MA.912.A.4.5 - Graph polynomial functions with and without technology and describe end behavior.

FL MA.912.A.4.6 - Use theorems of polynomial behavior (including but not limited to the Fundamental Theorem of Algebra, Remainder Theorem, the Rational Root Theorem, Descartes' Rule of Signs, and the Conjugate Root Theorem) to find the zeros of a polynomial function.

FL MA.912.A.4.7 - Write a polynomial equation for a given set of real and/or complex roots.





FL MA.912.A.4.8 - Describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression, with and without technology.

FL MA.912.A.4.9 - Use graphing technology to find approximate solutions for polynomial equations.FL MA.912.A.4.10 - Use polynomial equations to solve real-world problems.FL MA.912.A.4.11 - Solve a polynomial inequality by examining the graph with and without the use of technology.FL MA.912.A.4.12 - Apply the Binomial Theorem.FL MA.912.A.5 - Simplify rational expressions and solve rational equations using what they have learned about factoring polynomials.

FL MA.912.A.5.1 - *Simplify algebraic ratios.

Topic 12 - Rational Expressions Obj. 114 - Simplify a rational expression involving polynomial terms

FL MA.912.A.5.2 - Add, subtract, multiply, and divide rational expressions.

Topic 12 - Rational Expressions Obj. 115 - Multiply rational expressions

Obj. 116 - Divide rational expressions

Obj. 120 - Add or subtract two rational expressions with like denominatorsObj. 121 - Add or subtract two rational expressions with unlike monomial denominatorsObj. 122 - Add or subtract two rational expressions with unlike polynomial denominators

FL MA.912.A.5.3 - Simplify complex fractions.


Obj. 2 - Simplify a complex fraction

FL MA.912.A.5.4 - *Solve algebraic proportions.


Obj. 123 - Solve a proportion that generates a linear or quadratic equation

FL MA.912.A.5.5 - Solve rational equations.


Obj. 124 - Solve a rational equation involving terms with monomial denominators





Obj. 125 - Solve a rational equation involving terms with polynomial denominators

FL MA.912.A.5.6 - Identify removable and non-removable discontinuities and vertical, horizontal, and oblique asymptotes of a graph of a rational function, find the zeros, and graph the function.

FL MA.912.A.5.7 - Solve real-world problems involving rational equations (mixture, distance, work, interest, and ratio).


Obj. 127 - WP: Solve a problem involving a rational equation

FL MA.912.A.6 - Simplify and perform operations on radical expressions and equations. Rationalize square root expressions and understand and use the concepts of negative and rational exponents. Add, subtract, multiply, divide, and simplify radical expressions and expressions with rational exponents. Solve radical equations and equations with terms that have rational exponents.

Topic 10 - Radical Expressions Obj. 103 - Rationalize the denominator of a numerical radical expression

Obj. 105 - Rationalize the denominator of an algebraic radical expression

FL MA.912.A.6.1 - *Simplify radical expressions.

Topic 10 - Radical Expressions Obj. 98 - Simplify a monomial numerical expression involving the square root of a whole numberObj. 104 - Simplify a monomial algebraic radical expression

FL MA.912.A.6.2 - *Add, subtract, multiply and divide radical expressions (square roots and higher).

Topic 10 - Radical Expressions Obj. 99 - Multiply monomial numerical expressions involving radicals

Obj. 100 - Divide monomial numerical expressions involving radicalsObj. 101 - Add and/or subtract numerical radical expressionsObj. 102 - Multiply a binomial numerical radical expression by a numerical radical expressionObj. 106 - Add or subtract algebraic radical expressionsObj. 107 - Multiply monomial algebraic radical expressions





Obj. 108 - Divide monomial algebraic radical expressions

FL MA.912.A.6.3 - Simplify expressions using properties of rational exponents.FL MA.912.A.6.4 - Convert between rational exponent and radical forms of expressions.FL MA.912.A.6.5 - Solve equations that contain radical expressions.


Obj. 109 - Solve a radical equation that leads to a linear equationObj. 110 - Solve a radical equation that leads to a quadratic equation

FL MA.912.A.7 - Draw graphs of quadratic functions. Solve quadratic equations and solve these equations by factoring, completing the square and by using the quadratic formula. Use graphing calculators to find approximate solutions of quadratic equations.

FL MA.912.A.7.1 - *Graph quadratic equations with and without graphing technology.

Topic 8 - Quadratic Equations and Functions

Obj. 86 - Determine the graph of a given quadratic function

FL MA.912.A.7.2 - *Solve quadratic equations over the real numbers by factoring, and by using the quadratic formula.


Obj. 91 - Solve a quadratic equation by factoring

Obj. 92 - Solve a quadratic equation using the quadratic formula

FL MA.912.A.7.3 - Solve quadratic equations over the real numbers by completing the square.FL MA.912.A.7.4 - Use the discriminant to determine the nature of the roots of a quadratic equation.

FL MA.912.A.7.5 - Solve quadratic equations over the complex number system.FL MA.912.A.7.6 - Identify the axis of symmetry, vertex, domain, range and intercept(s) for a given parabola.

FL MA.912.A.7.7 - Solve non-linear systems of equations with and without using technology.FL MA.912.A.7.8 - *Use quadratic equations to solve real-world problems.


Obj. 94 - WP: Use a given quadratic equation to solve a problem





FL MA.912.A.7.9 - Solve optimization problems.FL MA.912.A.7.10 - Use graphing technology to find approximate solutions of quadratic equations.FL MA.912.A.8 - Understand the concepts of logarithmic and exponential functions. Graph exponential functions and solve problems of growth and decay. Understand the inverse relationship between exponents and logarithms and use it to prove laws of logarithms and to solve equations. Convert logarithms between bases and simplify logarithmic expressions.

FL MA.912.A.8.1 - Define exponential and logarithmic functions and determine their relationship.

FL MA.912.A.8.2 - Define and use the properties of logarithms to simplify logarithmic expressions and to find their approximate values.

FL MA.912.A.8.3 - Graph exponential and logarithmic functions.

Topic 9 - Exponential Equations and Functions

Obj. 95 - Determine the graph of an exponential function

FL MA.912.A.8.4 - Prove laws of logarithms.FL MA.912.A.8.5 - Solve logarithmic and exponential equations.

FL MA.912.A.8.6 - Use the change of base formula.FL MA.912.A.8.7 - Solve applications of exponential growth and decay.

Topic 9 - Exponential Equations and Functions

Obj. 96 - WP: Evaluate an exponential growth or an exponential decay functionObj. 97 - Solve a problem involving exponential growth or exponential decay

FL MA.912.A.9 - Write equations and draw graphs of conic sections (circle, ellipse, parabola, and hyperbola), thus relating an algebraic representation to a geometric one.





FL MA.912.A.9.1 - Write the equations of conic sections in standard form and general form, in order to identify the conic section and to find its geometric properties (foci, asymptotes, eccentricity, etc.).

FL MA.912.A.9.2 - Graph conic sections with and without using graphing technology.FL MA.912.A.9.3 - Solve real-world problems involving conic sections.FL MA.912.A.10 - In a general sense, all of mathematics is problem solving. In all of mathematics, use problem-solving skills, choose how to approach a problem, explain the reasoning, and check the results

FL MA.912.A.10.1 - *Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guessing- and-checking, solving a simpler problem, writing an equation, working backwards, and creating a table.FL MA.912.A.10.2 - *Decide whether a solution is reasonable in the context of the original situation.FL MA.912.A.10.3 - *Decide whether a given statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities rational or radical expressions or logarithmic or exponential functions).FL MA.912.A.10.4 - Use counterexamples to show that statements are false.



Agency Tag Set NameFlorida, Math, 2007, Algebra, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.912.A - AlgebraFL MA.912.A.1 - Expand and deepen understanding of real and complex numbers by comparing expressions and performing arithmetic computations, especially those involving square roots and exponents. Use the properties of real numbers to simplify algebraic expressions and equations, and they convert between different measurement units using dimensional analysis.FL MA.912.A.1.1 - *Know equivalent forms of real numbers (including integer exponents and radicals, percents, scientific notation, absolute value, rational numbers, irrational numbers).FL MA.912.A.1.2 - *Compare real number expressions.FL MA.912.A.1.3 - *Simplify real number expressions using the laws of exponents.FL MA.912.A.1.4 - *Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real-world problems.

Topic 1 - The Real Numbers Obj. 6 - Operations with rational numbers

Obj. 7 - Order of operationsFL MA.912.A.1.5 - *Use dimensional (unit) analysis to perform conversions between units of measure, including rates.FL MA.912.A.1.6 - Identify the real and imaginary parts of complex numbers and perform basic operations.

Topic 6 - Roots, Radicals, and Complex Numbers

Obj. 80 - Write imaginary numbers: bi

Obj. 83 - Add and subtract complex numbersObj. 84 - Operations on complex numbers

FL MA.912.A.1.7 - Represent complex numbers geometrically.FL MA.912.A.1.8 - Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.

Standards List with Aligned Product SkillsProduct NameAccelerated Math Algebra 2





FL MA.912.A.2 - Draw and interpret graphs of relations. Understand the notation and concept of a function, find domains and ranges, and link equations to functions.


FL MA.912.A.2.3 - *Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions.

Topic 3 - Relations, Functions, and Graphs

Obj. 29 - Determine if relations are functions

FL MA.912.A.2.4 - *Determine the domain and range of a relation.


Obj. 26 - Domain and range, relationsObj. 27 - Domain and range, functions

FL MA.912.A.2.5 - Graph absolute value equations and inequalities in two variables.FL MA.912.A.2.6 - Identify and graph common functions (including but not limited to linear, rational, quadratic, cubic, radical, absolute value).


Obj. 34 - Graph linear equations, ax + by = c


Obj. 78 - Graph square roots

Obj. 79 - Graph nth rootsTopic 7 - Quadratic Obj. 96 - Graph quadratic functions

Topic 10 - Rational Expressions and Equations

Obj. 147 - Graph rational functions and equations

Topic 11 - Conics and Second-Degree Equations

Obj. 171 - Graph parabolas (y = x^2)

FL MA.912.A.2.7 - Perform operations (addition, subtraction, division and multiplication) of functions algebraically, numerically, and graphically.FL MA.912.A.2.8 - Determine the composition of functions.


Obj. 32 - Find compositions of 2 functions

FL MA.912.A.2.9 - Recognize, interpret, and graph functions defined piece-wise, with and without technology.FL MA.912.A.2.10 - Describe and graph transformations of functions.





FL MA.912.A.2.11 - Solve problems involving functions and their inverses.


Obj. 33 - Find inverses of functions

Obj. 37 - WP: Function problemsFL MA.912.A.2.12 - *Solve problems using direct, inverse, and joint variations.

Topic 7 - Quadratic Obj. 98 - Solve variation problems

Obj. 99 - WP: Variation problemsFL MA.912.A.2.13 - Solve real-world problems involving relations and functions.


Obj. 37 - WP: Function problems



Obj. 11 - Solve linear equations

FL MA.912.A.3.2 - *Identify and apply the distributive, associative, and commutative properties of real numbers and the properties of equality.

Topic 1 - The Real Numbers Obj. 3 - Properties of real numbers

Obj. 4 - Reflex, symm, trans, and subst properties

FL MA.912.A.3.3 - *Solve literal equations for a specified variable.FL MA.912.A.3.4 - *Solve and graph simple and compound inequalities in one variable and be able to justify each step in a solution.


Obj. 13 - Solve linear inequalities

Obj. 14 - Solve inequalities with rational expressionsObj. 16 - Solve compound inequalitiesObj. 19 - Graph inequalities (number line)Obj. 20 - Graph inequalities, 1-variable (coordinate plane)Obj. 24 - Solve and graph compound inequalities




Obj. 12 - WP: Solve linear equations

Obj. 13 - Solve linear inequalitiesObj. 14 - Solve inequalities with rational expressions





Obj. 15 - Translate word phrases to inequalitiesObj. 18 - WP: Solve linear inequalities



Obj. 17 - Solve absolute value linear inequalities

Obj. 22 - Graph absolute value inequalities (number line)Obj. 23 - Graph absolute value ineq (coordinate plane)

FL MA.912.A.3.7 - *Rewrite equations of a line into slope-intercept form and standard form.FL MA.912.A.3.8 - *Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form.


Obj. 34 - Graph linear equations, ax + by = c

Obj. 35 - Graph linear equations, y = ax + b

FL MA.912.A.3.9 - *Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line.


Obj. 39 - Find slopes from 2 points

FL MA.912.A.3.10 - *Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line.


Obj. 38 - Write equation from slope and point, ax + by = c

Obj. 43 - Write eqn through point and parallel/perp to line

FL MA.912.A.3.11 - *Write an equation of a line that models a data set and use the equation or the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change.





FL MA.912.A.3.12 - *Graph a linear equation or inequality in two variables with and without graphing technology. Write an equation or inequality represented by a given graph.


Obj. 21 - Graph linear inequalities in 2-variables


Obj. 34 - Graph linear equations, ax + by = cObj. 35 - Graph linear equations, y = ax + b


Topic 4 - Systems of Equations and Inequalities

Obj. 45 - Solve systems, substitution

Obj. 46 - Solve systems, elimination

Obj. 47 - Determine number of solutions for systemsObj. 50 - Solve systems, three equationsObj. 56 - Solve systems of linear inequalities by graphing


Topic 4 - Systems of Equations and Inequalities

Obj. 51 - WP: Solve systems, number problems

Obj. 52 - WP: Solve systems, motion and distance problemsObj. 53 - WP: Solve systems, age problemsObj. 54 - WP: Solve systems, coin problemsObj. 55 - WP: Solve systems, mixture and investment problems






FL MA.912.A.4.1 - *Simplify monomials and monomial expressions using the laws of integral exponents.FL MA.912.A.4.2 - *Add, subtract, and multiply polynomials.

Topic 8 - Polynomials Obj. 110 - Add polynomials

Obj. 111 - Subtract polynomialsObj. 112 - Add and subtract polynomialsObj. 113 - Square a binomial, ax + by

Obj. 114 - Multiply 2 binomialsObj. 115 - Multiply monomials by polynomialsObj. 116 - Multiply binomials by trinomialsObj. 117 - Square trinomialsObj. 118 - Simplify polynomial expr using multiplication

FL MA.912.A.4.3 - *Factor polynomial expressions.

Topic 8 - Polynomials Obj. 122 - Factor trinomials, ax(x + b)(x - c)Obj. 123 - Factor difference of squaresObj. 124 - Factor sum or difference of 2 cubesObj. 125 - Factor polynomials into binomials and trinomialsObj. 126 - Factor 4-term expressions by grouping


Topic 8 - Polynomials Obj. 119 - Divide polynomials by monomials

Obj. 120 - Divide polynomialsObj. 121 - Long division, factor higher term polynomials


Topic 8 - Polynomials Obj. 127 - Graph polynomial functions






FL MA.912.A.4.7 - Write a polynomial equation for a given set of real and/or complex roots.FL MA.912.A.4.8 - Describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression, with and without technology.

FL MA.912.A.4.9 - Use graphing technology to find approximate solutions for polynomial equations.FL MA.912.A.4.10 - Use polynomial equations to solve real-world problems.

Topic 8 - Polynomials Obj. 128 - WP: Polynomials

FL MA.912.A.4.11 - Solve a polynomial inequality by examining the graph with and without the use of technology.FL MA.912.A.4.12 - Apply the Binomial Theorem.

Topic 13 - Probability Obj. 201 - Binomial expansion, find nth terms

FL MA.912.A.5 - Simplify rational expressions and solve rational equations using what they have learned about factoring polynomials.

FL MA.912.A.5.1 - *Simplify algebraic ratios.


Obj. 145 - Simplify rational expressionsObj. 146 - Simplify rational expressions by factoring

FL MA.912.A.5.2 - Add, subtract, multiply, and divide rational expressions.


Obj. 148 - Multiply and simplify rational expressions

Obj. 149 - Divide and simplify rational expressionsObj. 150 - Add rational expressions

Obj. 151 - Subtract rational expressionsObj. 152 - Add and subtract rational expressionsObj. 153 - WP: Rational expressions

FL MA.912.A.5.3 - Simplify complex fractions.


Obj. 154 - Simplify complex rational expressions

FL MA.912.A.5.4 - *Solve algebraic proportions.FL MA.912.A.5.5 - Solve rational equations.

Topic 7 - Quadratic Obj. 95 - Solve quadratic equations containing rational expr






Obj. 155 - Solve equations containing rational expressionsObj. 156 - Solve rational equations (no solution)



Obj. 147 - Graph rational functions and equations

FL MA.912.A.5.7 - Solve real-world problems involving rational equations (mixture, distance, work, interest, and ratio).FL MA.912.A.6 - Simplify and perform operations on radical expressions and equations. Rationalize square root expressions and understand and use the concepts of negative and rational exponents. Add, subtract, multiply, divide, and simplify radical expressions and expressions with rational exponents. Solve radical equations and equations with terms that have rational exponents.



Obj. 71 - Simplify nth roots

Obj. 75 - Rationalize denominatorsFL MA.912.A.6.2 - *Add, subtract, multiply and divide radical expressions (square roots and higher).


Obj. 74 - Add and subtract radical expressions

FL MA.912.A.6.3 - Simplify expressions using properties of rational exponents.


Obj. 70 - Simplify expressions with fractional exponents

Obj. 73 - Simplify expressions with rational exponents

FL MA.912.A.6.4 - Convert between rational exponent and radical forms of expressions.FL MA.912.A.6.5 - Solve equations that contain radical expressions.


Obj. 76 - Solve equations containing radicals







Topic 7 - Quadratic Obj. 96 - Graph quadratic functions


Obj. 171 - Graph parabolas (y = x^2)

Obj. 172 - Graph parabolas (x = y^2)


Topic 7 - Quadratic Obj. 89 - Factor quadratics, real roots

Obj. 90 - Factor quadratics, roots with radicalsObj. 91 - Quadratic formula, 2 real rootsObj. 95 - Solve quadratic equations containing rational expr


Topic 7 - Quadratic Obj. 93 - Find and use discriminants

FL MA.912.A.7.5 - Solve quadratic equations over the complex number system.

Topic 7 - Quadratic Obj. 88 - Solve quad eqns, square root rule (complex roots)

Obj. 92 - Quadratic formula, complex roots

FL MA.912.A.7.6 - Identify the axis of symmetry, vertex, domain, range and intercept(s) for a given parabola.


Obj. 170 - Parabolas, find vertex from equation

FL MA.912.A.7.7 - Solve non-linear systems of equations with and without using technology.


Obj. 176 - Solve systems of 2nd-degree equations

Obj. 177 - WP: Systems of equations

FL MA.912.A.7.8 - *Use quadratic equations to solve real-world problems.

Topic 7 - Quadratic Obj. 100 - WP: Pythagorean Theorem





Obj. 101 - WP: Number problems using quadratic equationsObj. 102 - WP: Area and perimeterObj. 103 - WP: Other problems using quadratic equations



Topic 9 - Exponents and Logarithms

Obj. 129 - Exponential equations to logarithmic form

Obj. 130 - Logarithmic equations to exponential form




Obj. 141 - Graph exponential functions

Obj. 142 - Graph logarithmic functions

FL MA.912.A.8.4 - Prove laws of logarithms.FL MA.912.A.8.5 - Solve logarithmic and exponential equations.


Obj. 135 - Solve logarithmic equations

Obj. 136 - Solve exponential equationsObj. 137 - Solve equations involving natural logarithms

FL MA.912.A.8.6 - Use the change of base formula.





FL MA.912.A.8.7 - Solve applications of exponential growth and decay.


Obj. 139 - WP: Growth and decay problems




Obj. 159 - Circles, general form equations

Obj. 160 - Circles, write equations given centers and radiiObj. 161 - Circles, write equations using given factsObj. 162 - WP: CirclesObj. 164 - Ellipses, general form equationsObj. 165 - Ellipses, write equations using given factsObj. 168 - Hyperbolas, find vertices, foci, and asymptotesObj. 170 - Parabolas, find vertex from equationObj. 174 - Identify equations of conics

FL MA.912.A.9.2 - Graph conic sections with and without using graphing technology.

Topic 7 - Quadratic Obj. 96 - Graph quadratic functions


Obj. 158 - Graph circles

Obj. 163 - Graph ellipsesObj. 166 - Graph hyperbolas (standard equation)Obj. 167 - Graph hyperbolas (general equation)Obj. 171 - Graph parabolas (y = x^2)

Obj. 172 - Graph parabolas (x = y^2)

FL MA.912.A.9.3 - Solve real-world problems involving conic sections.


Obj. 173 - WP: Production and profit problems





FL MA.912.A.10 - In a general sense, all of mathematics is problem solving. In all of mathematics, use problem-solving skills, choose how to approach a problem, explain the reasoning, and check the results




Agency Tag Set NameFlorida, Math, 2007, Geometry, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.912.G - GeometryFL MA.912.G.1 - Understand geometric concepts, applications, and their representations with coordinate systems. Find lengths and midpoints of line segments, slopes, parallel and perpendicular lines, and equations of lines. Using a compass and straightedge, patty paper, a drawing program or other techniques, students also construct lines and angles, explaining and justifying the processes used.

FL MA.912.G.1.1 - *Find the lengths and midpoints of line segments in two-dimensional coordinate systems.

Topic 1 - Basic Concepts of Geometry

Obj. 4 - Determine the distance between two points

Obj. 6 - Determine the midpoint of a line segment given the coordinates of the endpoints

FL MA.912.G.1.2 - Construct congruent segments and angles, angle bisectors, and parallel and perpendicular lines using a straight edge and compass or a drawing program, explaining and justifying the process used.FL MA.912.G.1.3 - *Identify and use the relationships between special pairs of angles formed by parallel lines and transversals.

Topic 2 - Parallel and Perpendicular lines

Obj. 9 - Identify angle relationships formed by multiple lines and transversals

Obj. 10 - Determine the measure of an angle formed by parallel lines and one or more transversalsObj. 11 - Identify parallel lines using angle relationshipsObj. 12 - Determine the measure of an angle in a figure involving parallel and/or perpendicular lines

FL MA.912.G.1.4 - *Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.

Topic 2 - Parallel and Perpendicular lines

Obj. 13 - Determine if lines through points with given coordinates are parallel or perpendicular

Standards List with Aligned Product SkillsProduct NameAccelerated Math Second Edition Geometry



Agency Tag Set NameFlorida, Math, 2007, Geometry, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


FL MA.912.G.2 - Identify and describe polygons (triangles, quadrilaterals, pentagons, hexagons, etc.), using terms such as regular, convex, and concave. Find measures of angles, sides, perimeters, and areas of polygons, justifying the methods used. Apply transformations to polygons. Relate geometry to algebra by using coordinate geometry to determine transformations. Use algebraic reasoning to determine congruence, similarity, and symmetry. Create and verify tessellations of the plane using polygons.

FL MA.912.G.2.1 - *Identify and describe convex, concave, regular, and irregular polygons.FL MA.912.G.2.2 - *Determine the measures of interior and exterior angles of polygons, justifying the method used.

Topic 5 - Quadrilaterals and Other Polygons

Obj. 26 - Determine the measure of an angle or the sum of the angles in a polygon

Obj. 27 - Determine a length or an angle measure using general properties of parallelogramsObj. 28 - Determine a length or an angle measure using properties of squares, rectangles, or rhombiObj. 29 - Determine a length or an angle measure using properties of kitesObj. 30 - Determine a length or an angle measure using properties of trapezoidsObj. 32 - WP: Solve a problem using the properties of angles and/or sides of polygons

FL MA.912.G.2.3 - *Use properties of congruent and similar polygons to solve mathematical or real-world problems.

Topic 4 - Congruent Triangles Obj. 22 - Determine the length of a side or the measure of an angle in congruent triangles

Topic 6 - Similarity Obj. 34 - Determine the length of a side in one of two similar polygonsObj. 35 - Determine the length of a side or the measure of an angle in similar trianglesObj. 43 - WP: Determine a length using similarity





FL MA.912.G.2.4 - *Apply transformations (translations, reflections, rotations, dilations, and scale factors) to polygons to determine congruence, similarity, and symmetry. Know that images formed by translations, reflections, and rotations are congruent to the original shape. Create and verify tessellations of the plane using polygons.

FL MA.912.G.2.5 - *Explain the derivation and apply formulas for perimeter and area of polygons (triangles, quadrilaterals, pentagons, etc.).

Topic 9 - Area Obj. 70 - Determine the area of a quadrilateral

Obj. 72 - WP: Solve a problem involving the area of a quadrilateralObj. 73 - Determine the area of a triangle using Heron's formulaObj. 74 - Determine the area of a regular polygonObj. 75 - Determine a length given the area of a regular polygon

FL MA.912.G.2.6 - *Use coordinate geometry to prove properties of congruent, regular and similar polygons, and to perform transformations in the plane.

Topic 11 - Transformations in the coordinate plane

Obj. 107 - Relate the coordinates of a preimage or an image to a translation described using mapping notation

Obj. 108 - Determine the coordinates of a preimage or an image given a reflection across a horizontal line, a vertical line, the line y = x, or the line y = -xObj. 109 - Relate the coordinates of a preimage or an image to a dilation centered at the originObj. 111 - Determine the coordinates of the image of a figure after two transformations of the same type

Obj. 112 - Determine the coordinates of the image of a figure after two transformations of different types

FL MA.912.G.2.7 - *Determine how changes in dimensions affect the perimeter and area of common geometric figures.





FL MA.912.G.3 - Classify and understand relationships among quadrilaterals (rectangle, parallelogram, kite, etc.). Relate geometry to algebra by using coordinate geometry to determine regularity, congruence, and similarity. Use properties of congruent and similar quadrilaterals to solve problems involving lengths and areas, and prove theorems involving quadrilaterals

FL MA.912.G.3.1 - *Describe, classify, and compare relationships among quadrilaterals including the square, rectangle, rhombus, parallelogram, trapezoid, and kite.

FL MA.912.G.3.2 - *Compare and contrast special quadrilaterals on the basis of their properties.FL MA.912.G.3.3 - *Use coordinate geometry to prove properties of congruent, regular and similar quadrilaterals.FL MA.912.G.3.4 - Prove theorems involving quadrilaterals.FL MA.912.G.4 - Identify and describe various kinds of triangles (right, acute, scalene, isosceles, etc.). Define and construct altitudes, medians, and bisectors, and triangles congruent to given triangles. Prove that triangles are congruent or similar and use properties of these triangles to solve problems involving lengths and areas. Relate geometry to algebra by using coordinate geometry to determine regularity, congruence, and similarity. Understand and apply the inequality theorems of triangles.

FL MA.912.G.4.1 - *Classify, construct, and describe triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and equiangular.





FL MA.912.G.4.2 - *Define, identify, and construct altitudes, medians, angle bisectors, perpendicular bisectors, orthocenter, centroid, incenter, and circumcenter.

FL MA.912.G.4.3 - Construct triangles congruent to given triangles.

FL MA.912.G.4.4 - *Use properties of congruent and similar triangles to solve problems involving lengths and areas.

Topic 6 - Similarity Obj. 39 - Determine a length in a triangle using a midsegment

Obj. 42 - Determine a length using similar triangles formed by the altitude to the hypotenuse of a right triangleObj. 43 - WP: Determine a length using similarity

FL MA.912.G.4.5 - *Apply theorems involving segments divided proportionally.

Topic 6 - Similarity Obj. 40 - Determine a length using parallel lines and proportional parts

FL MA.912.G.4.6 - *Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles.

Topic 4 - Congruent Triangles Obj. 23 - Identify a triangle congruence postulate that justifies a congruence statement

Topic 6 - Similarity Obj. 37 - Identify a triangle similarity postulate that justifies a similarity statement

FL MA.912.G.4.7 - *Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Topic 3 - Relationships Within Triangles

Obj. 19 - Solve a problem using inequalities in a triangle

Obj. 20 - Solve a problem involving two triangles by using the hinge theorem and other triangle inequality relationships

FL MA.912.G.4.8 - Use coordinate geometry to prove properties of congruent, regular, and similar triangles.FL MA.912.G.5 - Apply the Pythagorean Theorem to solving problems, including those involving the altitudes of right triangles and triangles with special angle relationships. Use special right triangles to solve problems using the properties of triangles.





FL MA.912.G.5.1 - *Prove and apply the Pythagorean Theorem and its converse.

Topic 7 - Right Triangles and Trigonometry

Obj. 44 - Determine a length in a complex figure using the Pythagorean theorem

FL MA.912.G.5.2 - State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle.

Topic 6 - Similarity Obj. 42 - Determine a length using similar triangles formed by the altitude to the hypotenuse of a right triangle

FL MA.912.G.5.3 - *Use special right triangles (30° - 60°- 90° and 45° - 45°- 90°) to solve problems.


Obj. 45 - Determine a length using the properties of a 45-45-90 degree triangle or a 30-60-90 degree triangle

Obj. 46 - Solve a problem using multiple non-trigonometric right-triangle relationships

FL MA.912.G.5.4 - Solve real-world problems involving right triangles.


Obj. 47 - WP: Determine a length using the properties of a 45-45-90 degree triangle or a 30-60-90 degree triangleObj. 48 - WP: Solve a problem involving a complex figure using the Pythagorean theorem

FL MA.912.G.6 - Define and understand ideas related to circles (radius, tangent, chord, etc.). Perform constructions, and prove theorems related to circles. Find measures of arcs and angles related to them, as well as measures of circumference and area. Relate geometry to algebra by finding the equation of a circle in the coordinate plane.

FL MA.912.G.6.1 - Determine the center of a given circle. Given three points not on a line, construct the circle that passes through them. Construct tangents to circles. Circumscribe and inscribe circles about and within triangles and regular polygons.FL MA.912.G.6.2 - *Define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent and concentric circles.FL MA.912.G.6.3 - Prove theorems related to circles, including related angles, chords, tangents, and secants.





FL MA.912.G.6.4 - *Determine and use measures of arcs and related angles (central, inscribed, and intersections of secants and tangents).

Topic 8 - Circles Obj. 54 - Determine the measure of an arc or a central angle using the relationship between the arc and the central angle

Obj. 56 - Determine the length of a line segment, the measure of an angle, or the measure of an arc using a tangent to a circleObj. 61 - Determine the measure of an arc or an angle using the relationship between an inscribed angle and its intercepted arcObj. 62 - Determine the measure of an arc or an angle using properties of an inscribed triangle or quadrilateral

Obj. 63 - Determine the measure of an arc or an angle formed by intersecting chords or a chord that intersects a tangent to a circleObj. 64 - Determine the measure of an arc or an angle formed by two tangents, two secants, or a tangent and a secant that intersect outside a circleObj. 66 - Solve a problem involving intersecting chords, tangents, and/or secants of a circle

FL MA.912.G.6.5 - *Solve real-world problems using measures of circumference, arc length, and areas of circles and sectors.

Topic 9 - Area Obj. 83 - WP: Determine a length or an area involving a sector of a circle

FL MA.912.G.6.6 - *Given the center and the radius, find the equation of a circle in the coordinate plane or given the equation of a circle in center-radius form, state the center and the radius of the circle.

Topic 8 - Circles Obj. 67 - Determine an equation of a circle

Obj. 68 - Determine the radius, center, or diameter of a circle given an equation

FL MA.912.G.6.7 - Given the equation of a circle in center-radius form or given the center and the radius of a circle, sketch the graph of the circle.





FL MA.912.G.7 - Describe and make regular and nonregular polyhedra (cube, pyramid, tetrahedron, octahedron, etc.). Explore relationships among the faces, edges, and vertices of polyhedra. Describe sets of points on spheres, using terms such as great circle. Describe symmetries of solids, and understand the properties of congruent and similar solids.

FL MA.912.G.7.1 - *Describe and make regular, non-regular, and oblique polyhedra and sketch the net for a given polyhedron and vice versa.FL MA.912.G.7.2 - Describe the relationships between the faces, edges, and vertices of polyhedra.FL MA.912.G.7.3 - Identify, sketch, find areas and/or perimeters of cross sections of solid objects.

FL MA.912.G.7.4 - *Identify chords, tangents, radii, and great circles of spheres.FL MA.912.G.7.5 - *Explain and use formulas for lateral area, surface area, and volume of solids.

Topic 10 - Surface Area and Volume

Obj. 87 - Determine a length given the surface area of a right cylinder or a right prism that has a rectangle or a right triangle as a base

Obj. 88 - Solve a problem involving the surface area of a cone or a pyramid that has a rectangle or right triangle as a baseObj. 89 - Determine a length given the surface area of a right prism or a right pyramid that has a regular polygon as its baseObj. 90 - Determine the volume of an oblique prism or an oblique cylinder

Obj. 91 - Determine the volume of a right pyramid or a right coneObj. 92 - Solve a problem involving the volume of a right pyramid or a right coneObj. 93 - Determine the volume of an oblique pyramid or an oblique cone





Obj. 94 - Determine the surface area of a sphereObj. 95 - Determine the radius, diameter, or circumference of a sphere given its surface areaObj. 96 - WP: Solve a problem involving the surface area of a sphere

Obj. 97 - Determine the surface area of a complex solid figureObj. 98 - Solve a problem involving the surface area of a complex solid figureObj. 99 - Determine the volume of a sphere or hemisphereObj. 100 - WP: Determine the volume of a sphere or hemisphereObj. 101 - Determine the volume of a complex solid figureObj. 102 - WP: Solve a problem involving the volume of a complex solid figureObj. 103 - Solve a problem involving the surface areas of similar solid figuresObj. 105 - Solve a problem involving two solid figures that have the same surface area or volumeObj. 106 - WP: Solve a problem involving two solid figures that have the same surface area or volume

FL MA.912.G.7.6 - *Identify and use properties of congruent and similar solids.


Obj. 104 - Solve a problem involving the volumes of similar solid figures

FL MA.912.G.7.7 - *Determine how changes in dimensions affect the surface area and volume of common geometric solids.


Obj. 104 - Solve a problem involving the volumes of similar solid figures





FL MA.912.G.8 - In a general sense, mathematics is problem solving. In all mathematics, use problem-solving skills, choose how to approach a problem, explain the reasoning, and check the results. At this level, apply these skills to making conjectures, using axioms and theorems, constructing logical arguments, and writing geometric proofs. Learn about inductive and deductive reasoning and how to use counterexamples to show that a general statement is false.FL MA.912.G.8.1 - Analyze the structure of Euclidean geometry as an axiomatic system. Distinguish between undefined terms, definitions, postulates and theorems.

FL MA.912.G.8.2 - Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards.FL MA.912.G.8.3 - *Determine whether a solution is reasonable in the context of the original situation.FL MA.912.G.8.4 - *Make conjectures with justifications about geometric ideas. Distinguish between information that supports a conjecture and the proof of a conjecture.FL MA.912.G.8.5 - Write geometric proofs, including proofs by contradiction and proofs involving coordinate geometry. Use and compare a variety of ways to present deductive proofs, such as flow charts, paragraphs, two-column, and indirect proofs.FL MA.912.G.8.6 - Perform basic constructions using straightedge and compass, and/or drawing programs describing and justifying the procedures used. Distinguish between sketching, constructing and drawing geometric figures.



Agency Tag Set NameFlorida, Math, 2007, Probability, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.912.P - ProbabilityFL MA.912.P.1 - Understand the counting principle, permutations, and combinations and use them to solve problems.FL MA.912.P.1.1 - *Use counting principles, including the addition and the multiplication principles, to determine size of finite sample spaces and probabilities of events in those spaces.

Topic 2 - Counting Obj. 5 - Fundamental counting principle

FL MA.912.P.1.2 - Use formulas for permutations and combinations to count outcomes and determine probabilities of events.

Topic 2 - Counting Obj. 8 - Permutations

Obj. 9 - CombinationsFL MA.912.P.2 - Develop rules for finding probabilities of combined and complementary events. Understand and use conditional probability and the related Bayes' Theorem.

FL MA.912.P.2.1 - *Determine probabilities of complementary events, and calculate odds for and against the occurrence of events.

Topic 3 - Sample spaces Obj. 15 - Complement of events

Obj. 21 - Convert odds & probability

FL MA.912.P.2.2 - *Determine probabilities of independent events.FL MA.912.P.2.3 - Understand and use the concept of conditional probability, including: understanding how conditioning affects the probability of events; finding conditional probabilities from a two-way frequency table.

Topic 3 - Sample spaces Obj. 20 - Bayes' formula for conditional probability

FL MA.912.P.3 - Investigate probability distributions and calculate and interpret their means and variances. Use and apply the normal distribution, including using the central limit theorem.FL MA.912.P.3.1 - Determine probabilities of events from distributions, including:FL MA.912.P.3.1.a - Determine probabilities of events from distributions, including: discrete uniform (all outcomes in a finite set equally likely)

Topic 5 - Discrete probability distributions

Obj. 39 - Discrete uniform distribution

Standards List with Aligned Product SkillsProduct NameAM Probability & Statistics



Agency Tag Set NameFlorida, Math, 2007, Probability, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


Obj. 40 - WP: Discrete uniform distribution

FL MA.912.P.3.1.b - Determine probabilities of events from distributions, including: binomial


Obj. 43 - Binomial distribution

Obj. 44 - WP: Binomial experiments

Obj. 48 - Negative binomial distributionObj. 49 - WP: Negative binomial distribution

FL MA.912.P.3.1.c - Determine probabilities of events from distributions, including: normalFL MA.912.P.3.1.d - Determine probabilities of events from distributions, including: exponentialFL MA.912.P.3.2 - Determine the mean and variance of distributions, including:FL MA.912.P.3.2.a - Determine the mean and variance of distributions, including: discrete uniform (all outcomes in a finite set equally likely)


Obj. 39 - Discrete uniform distribution

FL MA.912.P.3.2.b - Determine the mean and variance of distributions, including: binomial


Obj. 43 - Binomial distribution

Obj. 48 - Negative binomial distribution

FL MA.912.P.3.2.c - Determine the mean and variance of distributions, including: normalFL MA.912.P.3.2.d - Determine the mean and variance of distributions, including: exponentialFL MA.912.P.3.3 - Apply the properties of the normal distribution.

Topic 6 - Continuous probability distributions

Obj. 57 - Normal distribution

Topic 9 - Confidence intervals Obj. 74 - z-scoresObj. 75 - Areas in tailsObj. 76 - Areas between tails

FL MA.912.P.3.4 - Apply the Central Limit Theorem to determine the probability that a sample mean will be in a certain interval.



Agency Tag Set NameFlorida, Math, 2007, Statistics, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.912.S - StatisticsFL MA.912.S.1 - Learn to define appropriate questions for research, and to pose questions in a form that can be answered by collecting and analyzing data.FL MA.912.S.1.1 - Formulate an appropriate research question to be answered by collecting data or performing an experiment.FL MA.912.S.1.2 - Determine appropriate and consistent standards of measurement for the data to be collected in a survey or experiment.

FL MA.912.S.2 - Learn key methods for collecting data and basic sampling principles.FL MA.912.S.2.1 - Compare the difference between surveys, experiments, and observational studies, and what types of questions can and cannot be answered by a particular design.FL MA.912.S.2.2 - Apply the definition of random sample and basic types of sampling, including representative samples, stratified samples, censuses.

Topic 7 - Data collection Obj. 62 - Sampling techniques

FL MA.912.S.2.3 - *Identify sources of bias, including sampling and non-sampling errors.

Topic 7 - Data collection Obj. 63 - Identify bias

FL MA.912.S.3 - Learn to work with summary measures of sets of data, including measures of the center, spread, and strength of relationship between variables. Learn to distinguish between different types of data and to select the appropriate visual form to present different types of data.FL MA.912.S.3.1 - Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections. Formats to include:




Agency Tag Set NameFlorida, Math, 2007, Statistics, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


FL MA.912.S.3.1.a - *Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections. Formats to include: bar graphs

Topic 1 - Pre-requisites Obj. 2 - Bar graphs

FL MA.912.S.3.1.b - *Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections. Formats to include: line graphsFL MA.912.S.3.1.c - *Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections. Formats to include: stem and leaf plots

FL MA.912.S.3.1.d - *Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections. Formats to include: circle graphs

Topic 3 - Sample spaces Obj. 19 - Circle graphs

FL MA.912.S.3.1.e - *Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections. Formats to include: histogramsFL MA.912.S.3.1.f - *Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections. Formats to include: box and whiskers plots

FL MA.912.S.3.1.g - *Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections. Formats to include: scatter plots

Topic 1 - Pre-requisites Obj. 3 - Scatter plots

Topic 11 - Linear regression Obj. 92 - Interpret scatter plotsObj. 93 - Linearity of data





FL MA.912.S.3.1.h - Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections. Formats to include: cumulative frequency (ogive) graphsFL MA.912.S.3.2 - Collect, organize, and analyze data sets, determine the best format for the data and present visual summaries from the following:

FL MA.912.S.3.2.a - *Collect, organize, and analyze data sets, determine the best format for the data and present visual summaries from the following: bar graphsFL MA.912.S.3.2.b - *Collect, organize, and analyze data sets, determine the best format for the data and present visual summaries from the following: line graphsFL MA.912.S.3.2.c - *Collect, organize, and analyze data sets, determine the best format for the data and present visual summaries from the following: stem and leaf plots

Topic 4 - Descriptive statistics Obj. 25 - Stem-and-leaf plots

FL MA.912.S.3.2.d - *Collect, organize, and analyze data sets, determine the best format for the data and present visual summaries from the following: circle graphsFL MA.912.S.3.2.e - *Collect, organize, and analyze data sets, determine the best format for the data and present visual summaries from the following: histograms

Topic 4 - Descriptive statistics Obj. 23 - Frequency histograms

Obj. 24 - Relative frequency histograms

FL MA.912.S.3.2.f - *Collect, organize, and analyze data sets, determine the best format for the data and present visual summaries from the following: box and whisker plotsFL MA.912.S.3.2.g - *Collect, organize, and analyze data sets, determine the best format for the data and present visual summaries from the following: scatter plots

Topic 1 - Pre-requisites Obj. 3 - Scatter plots





FL MA.912.S.3.2.h - Collect, organize, and analyze data sets, determine the best format for the data and present visual summaries from the following: cumulative frequency (ogive) graphsFL MA.912.S.3.3 - *Calculate and interpret measures of the center of a set of data, including mean, median, and weighted mean, and use these measures to make comparisons among sets of data.

Topic 4 - Descriptive statistics Obj. 27 - Mean

Obj. 28 - MedianObj. 29 - ModeObj. 30 - Choose best measure of central tendency


Obj. 46 - Geometric distribution

FL MA.912.S.3.4 - Calculate and interpret measures of variance and standard deviation. Use these measures to make comparisons among sets of data.

Topic 4 - Descriptive statistics Obj. 37 - Variance

Obj. 38 - Standard deviationFL MA.912.S.3.5 - *Calculate and interpret the range and quartiles of a set of data.

Topic 4 - Descriptive statistics Obj. 31 - Range

Obj. 35 - Box-and-whisker plotsFL MA.912.S.3.6 - Use empirical rules (e.g. 68-95-99.7 rule) to estimate spread of distributions and to make comparisons among sets of data.FL MA.912.S.3.7 - Calculate the correlation coefficient of a set of paired data, and interpret the coefficient as a measure of the strength and direction of the relationship between the variables.

Topic 8 - Bivariate data Obj. 70 - Calculate covariance as Sxy

Obj. 71 - Calculate correlation coefficient

FL MA.912.S.3.8 - Determine whether a data distribution is symmetric or skewed based on an appropriate graphical presentation of the data.





FL MA.912.S.3.9 - Identify outliers in a set of data based on an appropriate graphical presentation of the data, and describe the effect of outliers on the mean, median, and range of the data.FL MA.912.S.4 - Learn to use simulations of standard sampling distributions to determine confidence levels and margins of error. Develop measures of association between two numerical or categorical variables. Use technological tools to find equations of regression lines and correlation coefficients.

FL MA.912.S.4.1 - Explain and interpret the concepts of confidence level and "margin of error".

FL MA.912.S.4.2 - Use a simulation to approximate sampling distributions for the mean, using repeated sampling simulations from a given population.

FL MA.912.S.4.3 - Apply the Central Limit Theorem to solve problems.

FL MA.912.S.4.4 - Approximate confidence intervals for means using simulations of the distribution of the sample mean.

Topic 9 - Confidence intervals Obj. 80 - Confidence intervals for means

Obj. 81 - Confidence intervals for difference of means

FL MA.912.S.4.5 - Find the equation of the least squares regression line for a set of data.

Topic 11 - Linear regression Obj. 97 - Calculate regression line equation

FL MA.912.S.5 - Gather data and determine confidence intervals to make inferences about means, and use hypothesis tests to make decisions. Learn to use data to approximate p-values and to determine whether correlations between variables are significant.FL MA.912.S.5.1 - Analyze the relationship between confidence level, margin of error and sample size.





FL MA.912.S.5.2 - Apply the general principles of hypothesis testing.

Topic 10 - Hypothesis testing Obj. 88 - Large-sample hypothesis testing

Obj. 89 - Two-sample hypothesis testingObj. 90 - Small-sample hypothesis testing

FL MA.912.S.5.3 - Explain and identify the following: null hypothesis, alternative hypotheses, Type I error, and Type II error.

Topic 10 - Hypothesis testing Obj. 87 - Type I and Type II errors

FL MA.912.S.5.4 - Explain the meaning of p-value and its role in hypothesis testing.FL MA.912.S.5.5 - Perform hypothesis tests of means and proportions for large samples, using simulations to determine whether a sample mean (proportion) has a low likelihood of occurring.

Topic 10 - Hypothesis testing Obj. 88 - Large-sample hypothesis testing

FL MA.912.S.5.6 - Interpret the results of hypothesis tests of means and proportions, and make decisions based on p-values of test.

FL MA.912.S.5.7 - Use simulations to approximate the p-value of a correlation coefficient, and use the results to determine whether the correlation between two variables is significant.FL MA.912.S.5.8 - Use a regression line equation to make predictions.

Topic 11 - Linear regression Obj. 99 - Forecasting

FL MA.912.S.5.9 - Interpret the coefficient of determination, r², for a least-squares regression.



Agency Tag Set NameFlorida, Math, 2007, Algebra, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.912.A - AlgebraFL MA.912.A.1 - Expand and deepen understanding of real and complex numbers by comparing expressions and performing arithmetic computations, especially those involving square roots and exponents. Use the properties of real numbers to simplify algebraic expressions and equations, and they convert between different measurement units using dimensional analysis.FL MA.912.A.1.1 - *Know equivalent forms of real numbers (including integer exponents and radicals, percents, scientific notation, absolute value, rational numbers, irrational numbers).FL MA.912.A.1.2 - *Compare real number expressions.FL MA.912.A.1.3 - *Simplify real number expressions using the laws of exponents.FL MA.912.A.1.4 - *Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real-world problems.

FL MA.912.A.1.5 - *Use dimensional (unit) analysis to perform conversions between units of measure, including rates.FL MA.912.A.1.6 - Identify the real and imaginary parts of complex numbers and perform basic operations.

Topic 2 - Polynomials Obj. 47 - Add, subtract, multiply, & divide complex #s

FL MA.912.A.1.7 - Represent complex numbers geometrically.FL MA.912.A.1.8 - Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.

Standards List with Aligned Product SkillsProduct NameAccelerated Math Pre-Calculus





FL MA.912.A.2 - Draw and interpret graphs of relations. Understand the notation and concept of a function, find domains and ranges, and link equations to functions.


FL MA.912.A.2.3 - *Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions.FL MA.912.A.2.4 - *Determine the domain and range of a relation.

Topic 1 - Review of Fundamental Concepts of Algebra

Obj. 16 - Domains & range, functions

FL MA.912.A.2.5 - Graph absolute value equations and inequalities in two variables.FL MA.912.A.2.6 - Identify and graph common functions (including but not limited to linear, rational, quadratic, cubic, radical, absolute value).


Obj. 2 - Graph lines

Obj. 22 - Use rigid & nonrigid transformations to graph funcObj. 23 - Graph rational functions

Topic 2 - Polynomials Obj. 36 - Graph quadratic functions

FL MA.912.A.2.7 - Perform operations (addition, subtraction, division and multiplication) of functions algebraically, numerically, and graphically.


Obj. 18 - Add, subtract, multiply, & divide functions

FL MA.912.A.2.8 - Determine the composition of functions.


Obj. 20 - Find compositions of 2 functions

FL MA.912.A.2.9 - Recognize, interpret, and graph functions defined piece-wise, with and without technology.


Obj. 24 - Graph piecewise-defined functions

FL MA.912.A.2.10 - Describe and graph transformations of functions.FL MA.912.A.2.11 - Solve problems involving functions and their inverses.


Obj. 21 - Find inverses of functions

Topic 2 - Polynomials Obj. 37 - WP: Quadratic functions





Topic 3 - Exponential and Logarithmic Functions

Obj. 57 - WP: Exponential functions

FL MA.912.A.2.12 - *Solve problems using direct, inverse, and joint variations.


Obj. 25 - Solve direct & indirect variation problems

Obj. 26 - Solve joint & combined variation problems

FL MA.912.A.2.13 - Solve real-world problems involving relations and functions.






FL MA.912.A.3.2 - *Identify and apply the distributive, associative, and commutative properties of real numbers and the properties of equality.FL MA.912.A.3.3 - *Solve literal equations for a specified variable.FL MA.912.A.3.4 - *Solve and graph simple and compound inequalities in one variable and be able to justify each step in a solution.


Obj. 7 - Solve linear inequalities with 1-variable




Obj. 5 - WP: Linear EquationsObj. 7 - Solve linear inequalities with 1-variable



Obj. 6 - Solve absolute value eqns with 1-variable

Obj. 8 - Solve absolute value inequalities

FL MA.912.A.3.7 - *Rewrite equations of a line into slope-intercept form and standard form.FL MA.912.A.3.8 - *Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form.







FL MA.912.A.3.9 - *Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line.FL MA.912.A.3.10 - *Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line.


Obj. 3 - Write eqns parallel/perp to lines through a point

FL MA.912.A.3.11 - *Write an equation of a line that models a data set and use the equation or the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change.FL MA.912.A.3.12 - *Graph a linear equation or inequality in two variables with and without graphing technology. Write an equation or inequality represented by a given graph.






Obj. 117 - WP: Systems of linear equations






FL MA.912.A.4.1 - *Simplify monomials and monomial expressions using the laws of integral exponents.FL MA.912.A.4.2 - *Add, subtract, and multiply polynomials.FL MA.912.A.4.3 - *Factor polynomial expressions.

Topic 2 - Polynomials Obj. 38 - Factor 4th-degree polynomials


Topic 2 - Polynomials Obj. 39 - Synthetic division


Topic 2 - Polynomials Obj. 46 - Graph nth-degree polynomials


Topic 2 - Polynomials Obj. 40 - Remainder Theorem

Obj. 41 - Factor TheoremObj. 42 - Descartes' Rule of SignsObj. 43 - Rational Zeros TheoremObj. 44 - Intermediate Value TheoremObj. 49 - Find zeros of polynomials

FL MA.912.A.4.7 - Write a polynomial equation for a given set of real and/or complex roots.

Topic 2 - Polynomials Obj. 48 - Write polynomial functions given specific zeros

FL MA.912.A.4.8 - Describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression, with and without technology.

FL MA.912.A.4.9 - Use graphing technology to find approximate solutions for polynomial equations.FL MA.912.A.4.10 - Use polynomial equations to solve real-world problems.





FL MA.912.A.4.11 - Solve a polynomial inequality by examining the graph with and without the use of technology.FL MA.912.A.4.12 - Apply the Binomial Theorem.FL MA.912.A.5 - Simplify rational expressions and solve rational equations using what they have learned about factoring polynomials.

FL MA.912.A.5.1 - *Simplify algebraic ratios.FL MA.912.A.5.2 - Add, subtract, multiply, and divide rational expressions.


Obj. 32 - Simplify, multiply, & divide rational expressions

FL MA.912.A.5.3 - Simplify complex fractions.FL MA.912.A.5.4 - *Solve algebraic proportions.FL MA.912.A.5.5 - Solve rational equations.


Obj. 33 - Solve rational equations


FL MA.912.A.5.7 - Solve real-world problems involving rational equations (mixture, distance, work, interest, and ratio).


Obj. 34 - WP: Rational equations

FL MA.912.A.6 - Simplify and perform operations on radical expressions and equations. Rationalize square root expressions and understand and use the concepts of negative and rational exponents. Add, subtract, multiply, divide, and simplify radical expressions and expressions with rational exponents. Solve radical equations and equations with terms that have rational exponents.



Obj. 29 - Simplify radical expressions





FL MA.912.A.6.2 - *Add, subtract, multiply and divide radical expressions (square roots and higher).FL MA.912.A.6.3 - Simplify expressions using properties of rational exponents.


Obj. 27 - Simplify expressions w/ rational exponents

FL MA.912.A.6.4 - Convert between rational exponent and radical forms of expressions.FL MA.912.A.6.5 - Solve equations that contain radical expressions.


Obj. 30 - Solve radical equations






Obj. 12 - Solve quad eqns, factor (real roots)

Obj. 13 - Solve quad eqns, quadratic formula


FL MA.912.A.7.5 - Solve quadratic equations over the complex number system.FL MA.912.A.7.6 - Identify the axis of symmetry, vertex, domain, range and intercept(s) for a given parabola.

Topic 2 - Polynomials Obj. 35 - Parabolas, find vertex from equation

FL MA.912.A.7.7 - Solve non-linear systems of equations with and without using technology.

Topic 7 - Conic Sections Obj. 106 - Solve systems of second-degree equations

FL MA.912.A.7.8 - *Use quadratic equations to solve real-world problems.


Obj. 15 - WP: Quadratic equations








Obj. 51 - Exponential equations to log form

Obj. 52 - Log equations to exponential form



Obj. 50 - Evaluate expressions w/ log exponents

Obj. 53 - Find logs by converting to exponential formObj. 54 - Properties of logs, rewrite expressions



Obj. 55 - Graph exponential functions

Obj. 56 - Graph log functionsFL MA.912.A.8.4 - Prove laws of logarithms.FL MA.912.A.8.5 - Solve logarithmic and exponential equations.


Obj. 58 - Solve log equations

Obj. 59 - Solve exponential equations

FL MA.912.A.8.6 - Use the change of base formula.FL MA.912.A.8.7 - Solve applications of exponential growth and decay.



Obj. 61 - WP: Radioactive decay







Topic 2 - Polynomials Obj. 35 - Parabolas, find vertex from equation

Topic 7 - Conic Sections Obj. 92 - Parabolas, write eqns from given informationObj. 95 - Circles, write eqns from given informationObj. 97 - Ellipses, find centers, vertices, & fociObj. 98 - Ellipses, write eqns from given informationObj. 100 - Hyperbolas, write eqns from given informationObj. 101 - Hyperbolas, find vertices, asymptotes, & fociObj. 104 - Identify conics from equations

FL MA.912.A.9.2 - Graph conic sections with and without using graphing technology.


Topic 7 - Conic Sections Obj. 91 - Parabolas, graph given equationsObj. 96 - Circle, graph given equationsObj. 99 - Ellipses, graph given equationsObj. 102 - Hyperbola, graph given equations

FL MA.912.A.9.3 - Solve real-world problems involving conic sections.

Topic 7 - Conic Sections Obj. 105 - WP: Conic sections

FL MA.912.A.10 - In a general sense, all of mathematics is problem solving. In all of mathematics, use problem-solving skills, choose how to approach a problem, explain the reasoning, and check the results








Agency Tag Set NameFlorida, Math, 2007, Calculus, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective DescriptionFL MA.912.C - CalculusFL MA.912.C.1 - Develop an understanding of the concept of limit by estimating limits graphically and numerically, and evaluating limits analytically. Extend the idea of a limit to one-sided limits and limits at infinity. Use limits to define and understand the concept of continuity, decide whether a function is continuous at a point, and find types of discontinuities. Understand and apply continuity theorems.

FL MA.912.C.1.1 - Understand the concept of limit and estimate limits from graphs and tables of values.

Topic 2 - Limits and Continuity Obj. 25 - Limits, use graphs

FL MA.912.C.1.2 - Find limits by substitution.

Topic 2 - Limits and Continuity Obj. 26 - Limits, polynomial functions

Obj. 27 - Limits, rational functionsFL MA.912.C.1.3 - Find limits of sums, differences, products, and quotients.

Topic 2 - Limits and Continuity Obj. 26 - Limits, polynomial functions

Obj. 27 - Limits, rational functionsObj. 28 - Limits, rational functions (x incr or decr)

FL MA.912.C.1.4 - Find limits of rational functions that are undefined at a point.

Topic 2 - Limits and Continuity Obj. 27 - Limits, rational functions

Obj. 28 - Limits, rational functions (x incr or decr)Obj. 29 - Limits, rationalization techniques

FL MA.912.C.1.5 - Find one-sided limits.

Topic 2 - Limits and Continuity Obj. 32 - Find one-sided limits

FL MA.912.C.1.6 - Find limits at infinity.

Topic 2 - Limits and Continuity Obj. 28 - Limits, rational functions (x incr or decr)

FL MA.912.C.1.7 - Decide when a limit is infinite and use limits involving infinity to describe asymptotic behavior.FL MA.912.C.1.8 - Find special limits such as the limit as x approaches 0 of (sin x) / x).

Topic 2 - Limits and Continuity Obj. 30 - Limits, special trig limits

FL MA.912.C.1.9 - Understand continuity in terms of limits.FL MA.912.C.1.10 - Decide if a function is continuous at a point.

Topic 2 - Limits and Continuity Obj. 33 - Find intervals where functions are continuous

FL MA.912.C.1.11 - Find the types of discontinuities of a function.

Topic 2 - Limits and Continuity Obj. 35 - Identify removable discontinuities

Standards List with Aligned Product SkillsProduct NameAccelerated Math Calculus


081309Page 102 of 110

Agency Tag Set NameFlorida, Math, 2007, Calculus, Next Generation Sunshine State Standards, State Department of EducationStandard Topic Description Objective Description


FL MA.912.C.1.12 - Understand and use the Intermediate Value Theorem on a function over a closed interval.

Topic 2 - Limits and Continuity Obj. 34 - Intermediate Value Theorem

FL MA.912.C.1.13 - Understand and apply the Extreme Value Theorem: If f(x) is continuous over a closed interval, then f has a maximum and a minimum on the interval.

FL MA.912.C.2 - Develop an understanding of the derivative as an instantaneous rate of change, using geometrical, numerical, and analytical methods. Use this definition to find derivatives of algebraic and transcendental functions and combinations of these functions (using, for example, sums, composites, and inverses). Find second and higher order derivatives. Understand and use the relationship between differentiability and continuity. Understand and apply the Mean Value Theorem. Find derivatives of algebraic, trigonometric, logarithmic, and exponential functions. Find derivatives of sums, products, and quotients, and composite and inverse functions. Find derivatives of higher order, and use logarithmic differentiation and the Mean Value Theorem.FL MA.912.C.2.1 - Understand the concept of derivative geometrically, numerically, and analytically, and interpret the derivative as an instantaneous rate of change, or as the slope of the tangent line.FL MA.912.C.2.2 - State, understand, and apply the definition of derivative.

FL MA.912.C.2.3 - Find the derivatives of functions, including algebraic, trigonometric, logarithmic, and exponential functions.

Topic 3 - Differentiation Obj. 37 - Differentiate using the Power Rule

Obj. 40 - Differentiate, trig functions


081309Page 103 of 110



Topic 6 - Transcendental Functions

Obj. 88 - Find derivatives of log functionsObj. 102 - Differentiate exponential functionsObj. 109 - Differentiate exponent func w/ various basesObj. 110 - Differentiate log functions w/ various bases

FL MA.912.C.2.4 - Find the derivatives of sums, products, and quotients.

Topic 3 - Differentiation Obj. 37 - Differentiate using the Power Rule

Obj. 38 - Differentiate using the Product RuleObj. 39 - Differentiate using the Quotient Rule

Topic 4 - Applications of Differentiation

Obj. 50 - Find relative extrema of functionsObj. 51 - Find intervals of concavity for functions graphsObj. 59 - Find differentials of functions


Obj. 109 - Differentiate exponent func w/ various bases

FL MA.912.C.2.5 - Find the derivatives of composite functions, using the Chain Rule.

Topic 3 - Differentiation Obj. 42 - Differentiate using the Chain Rule


Obj. 88 - Find derivatives of log functionsObj. 110 - Differentiate log functions w/ various bases

FL MA.912.C.2.6 - Find the derivatives of implicitly-defined functions.

Topic 3 - Differentiation Obj. 44 - Differentiate using implicit differentiation

FL MA.912.C.2.7 - Find derivatives of inverse functions.


Obj. 96 - Find derivatives of inverse functionsObj. 120 - Differentiate inverse trig functions

FL MA.912.C.2.8 - Find second derivatives and derivatives of higher order.

Topic 3 - Differentiation Obj. 41 - Find higher-order derivatives

FL MA.912.C.2.9 - Find derivatives using logarithmic differentiation.


Obj. 89 - Logarithmic differentiation

Obj. 109 - Differentiate exponent func w/ various basesObj. 110 - Differentiate log functions w/ various bases

FL MA.912.C.2.10 - Understand and use the relationship between differentiability and continuity.


081309Page 104 of 110



FL MA.912.C.2.11 - Understand and apply the Mean Value Theorem.


Obj. 48 - Mean Value Theorem

FL MA.912.C.3 - Apply knowledge about derivatives to find slopes of curves and the related tangent lines. Analyze and graph functions, finding where they are increasing or decreasing, their maximum and minimum points, their points of inflection, and their concavity. Solve optimization problems, find average and instantaneous rates of change (including velocities and accelerations), and model rates of change. Find slopes and equations of tangent lines, maximum and minimum points, and points of inflection. Solve optimization problems, and find rates of change.

Topic 3 - Differentiation Obj. 43 - Find slopes & equations of tangent lines


Obj. 50 - Find relative extrema of functionsObj. 53 - Graph intercepts, extrema, inflect, & asymptoteObj. 54 - Graph functions with given characteristics

FL MA.912.C.3.1 - Find the slope of a curve at a point, including points at which there are vertical tangent lines and no tangent lines.FL MA.912.C.3.2 - Find an equation for the tangent line to a curve at a point and a local linear approximation.FL MA.912.C.3.3 - Decide where functions are decreasing and increasing. Understand the relationship between the increasing and decreasing behavior of f and the sign of f'.


Obj. 49 - Find intervals of increase & decrease

FL MA.912.C.3.4 - Find local and absolute maximum and minimum points.


Obj. 46 - Find extrema of continuous functions

Obj. 50 - Find relative extrema of functions


Obj. 103 - Find extrema & inflect points of exponential func


081309Page 105 of 110



FL MA.912.C.3.5 - Find points of inflection of functions. Understand the relationship between the concavity of f and the sign of f". Understand points of inflection as places where concavity changes.FL MA.912.C.3.6 - Use first and second derivatives to help sketch graphs. Compare the corresponding characteristics of the graphs of f, f', and f".FL MA.912.C.3.7 - Use implicit differentiation to find the derivative of an inverse function.FL MA.912.C.3.8 - Solve optimization problems.


Obj. 55 - Applied problems: Max & min

FL MA.912.C.3.9 - Find average and instantaneous rates of change. Understand the instantaneous rate of change as the limit of the average rate of change. Interpret a derivative as a rate of change in applications, including velocity, speed, and acceleration.

Topic 3 - Differentiation Obj. 45 - Solve related rates problems

FL MA.912.C.3.10 - Find the velocity and acceleration of a particle moving in a straight line.FL MA.912.C.3.11 - Model rates of change, including related rates problems.FL MA.912.C.3.12 - Solve problems using the Newton-Raphson method.


Obj. 56 - Newton's Method, approx zeros

Obj. 57 - Newton's Method, approx radicalsObj. 58 - Newton's Method, approx intersections of graphs


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FL MA.912.C.4 - Understand that integration is used to find areas, and evaluate integrals using rectangular approximations. From this, develop the idea that integration is the inverse operation to differentiation - the Fundamental Theorem of Calculus. Use this result to find definite and indefinite integrals, including using the method of integration by substitution. Apply approximate methods, such as the Trapezoidal Rule, to find definite integrals. Define integrals using Riemann sums, use the Fundamental Theorem of Calculus to find integrals using antiderivatives, and use basic properties of integrals. Integrate by substitution, and find approximate integrals.


Obj. 90 - Evaluate integrals of rational functions

FL MA.912.C.4.1 - Use rectangle approximations to find approximate values of integrals.FL MA.912.C.4.2 - Calculate the values of Riemann Sums over equal subdivisions using left, right, and midpoint evaluation points.FL MA.912.C.4.3 - Interpret a definite integral as a limit of Riemann sums.

FL MA.912.C.4.4 - Interpret a definite integral of the rate of change of a quantity over an interval as the change of the quantity over the interval. That is, the integral from a to b of f'(x)dx = f(b) - f(a) (Fundamental Theorem of Calculus).

FL MA.912.C.4.5 - Use the Fundamental Theorem of Calculus to evaluate definite and indefinite integrals and to represent particular antiderivatives. Perform analytical and graphical analysis of functions so defined.

Topic 5 - Integration Obj. 64 - Evaluate integrals with polynomial integrands

Obj. 73 - Sketch regions whose areas are given by integralsObj. 76 - Fundamental Theorem, evaluate integrals


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Topic 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals

Obj. 137 - Integrate, choose appropriate method

Obj. 139 - Integrate powers of sin & cosObj. 140 - Integrate powers of sec & tan or csc & cotObj. 141 - Integrate sin-cos products, w/ different anglesObj. 144 - Integrate, table of integrals

Obj. 145 - Integrate rational functions involving sin & cos

FL MA.912.C.4.6 - Use these properties of definite integrals:FL MA.912.C.4.6.a - Use these properties of definite integrals: The integral from a to b of [f(x) + g(x)]dx = the integral from a to b of f(x)dx + the integral from a to b of g(x)dx.

Topic 5 - Integration Obj. 74 - Use properties of definite integrals

FL MA.912.C.4.6.b - Use these properties of definite integrals: The integral from a to b of k * f(x)dx = k times the integral from a to b of f(x)dx.FL MA.912.C.4.6.c - Use these properties of definite integrals: The integral from a to b of f(x)dx = 0.FL MA.912.C.4.6.d - Use these properties of definite integrals: The integral from a to b of f(x)dx = negative 1 times the integral from b to a of f(x)dx.FL MA.912.C.4.6.e - Use these properties of definite integrals: The integral from a to b of f(x)dx + the integral from b to c of f(x)dx = the integral from a to c of f(x)dx.

Topic 5 - Integration Obj. 74 - Use properties of definite integrals

FL MA.912.C.4.6.f - Use these properties of definite integrals: If f(x) is less than or equal to g(x) on [a, b], then the integral from a to b of f(x)dx is less than or equal to the integral from a to b of g(x)dx.FL MA.912.C.4.7 - Use integration by substitution (or change of variable) to find values of integrals.

Topic 5 - Integration Obj. 79 - Substitution, evaluate indefinite integrals

Obj. 80 - Substitution, evaluate definite integrals


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Obj. 91 - Integrate ratios of radical expressionsObj. 111 - Integrate exponential functions w/ various basesObj. 121 - Integrate inverse trig functions

Topic 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals

Obj. 139 - Integrate powers of sin & cos

Obj. 142 - Integrate, trig substitution

FL MA.912.C.4.8 - Use Riemann Sums, the Trapezoidal Rule, and technology to approximate definite integrals of functions represented algebraically, geometrically, and by tables of values.

Topic 5 - Integration Obj. 81 - Trapezoidal Rule, approx definite integrals

FL MA.912.C.5 - Apply knowledge about integrals to finding velocities from accelerations, solving separable differential equations, and finding areas and volumes. Apply integration to model, and solve problems in physics, biology, economics, etc. Find velocity functions and position functions from their derivatives, solve separable differential equations, and use definite integrals to find areas and volumes.

FL MA.912.C.5.1 - Find specific antiderivatives using initial conditions, including finding velocity functions from acceleration functions, finding position functions from velocity functions, and solving applications related to motion along a line.

FL MA.912.C.5.2 - Solve separable differential equations and use them in modeling.


Obj. 113 - Solve separable differential equations

FL MA.912.C.5.3 - Solve differential equations of the form dy/dt = ky as applied to growth and decay problems.FL MA.912.C.5.4 - Use slope fields to display a graphic representation of the solution to a differential equation and locate particular solutions to the equation.


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FL MA.912.C.5.5 - Use definite integrals to find the area between a curve and the x-axis, or between two curves.

Topic 5 - Integration Obj. 72 - Find integrals yielding areas of regions

Obj. 73 - Sketch regions whose areas are given by integrals

Topic 7 - Applications of Integration

Obj. 127 - Area, region between two curves

FL MA.912.C.5.6 - Use definite integrals to find the average value of a function over a closed interval.

Topic 5 - Integration Obj. 77 - Find average values of functions on intervals

FL MA.912.C.5.7 - Use definite integrals to find the volume of a solid with known cross-sectional area, including solids of revolution.


Obj. 128 - Volume, disc method

Obj. 129 - Volume, shell methodFL MA.912.C.5.8 - Apply integration to model and solve problems in physical, biological, and social sciences.


Obj. 132 - Applied problems: Work of a constant force

Obj. 133 - Applied problems: Fluid force on a surfaceObj. 134 - Find center of mass of systems of point masses


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Florida State Standards Alignment Grades One through Twelve