Tennessee Standards Alignment Grades Three through Twelvedoc.renlearn.com/KMNet/R004060023GGDD5F.pdf · 2010-03-15 · contains the alignment between the software and/or instructional

Tennessee Standards Alignment Grades Three through Twelve

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Tennessee 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 3 ..................................................... 1

Grade 4 ..................................................... 6

Grade 5 ....................................................14

Grade 6 ....................................................20

Grade 7 ....................................................27

Grade 8 ....................................................32

Algebra 1 ....................................................35

Geometry ....................................................42

Algebra 2 ....................................................50

Precalculus ....................................................58

Statistics ....................................................63

Calculus ...................................................65

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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 NameTennessee, Math, 2008, Grade 3, Performance Indicators State, State Department of EducationStandard Topic Description Objective DescriptionTN SPI 0306.1 - Mathematical ProcessesTN SPI 0306.1.1 - *Solve problems using a calendar.

Topic 3 - Geometry and Measurement

Obj. 83 - Determine a date using a calendar

TN SPI 0306.1.2 - *Solve problems involving elapsed time.


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

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

TN SPI 0306.1.3 - *Determine the correct change from a transaction less than a dollar.

Topic 1 - Number Sense and Operations

Obj. 25 - WP: Determine the amount of change from whole dollar amounts

TN SPI 0306.1.4 - *Match the spoken, written, concrete, and pictorial representations of fractions with denominators up to ten.


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

Obj. 46 - Identify a fraction represented by a point on a number lineObj. 47 - Locate a fraction on a number line

TN SPI 0306.1.5 - *Represent problems mathematically using diagrams, numbers, and symbolic expressions.


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

TN SPI 0306.1.6 - *Identify and use vocabulary to describe attributes of two- and three-dimensional shapes.


Obj. 95 - Determine attributes of a triangle or a quadrilateral from a model

Standards List with Aligned Product SkillsProduct NameAccelerated Math Second Edition Grade 3

Accelerated Math Grade 3

*State-Assessed Standards030910Page 1 of 68

Agency Tag Set NameTennessee, Math, 2008, Grade 3, Performance Indicators State, State Department of EducationStandard Topic Description Objective Description


Obj. 96 - Relate a model of a triangle or a quadrilateral to a list of attributes

TN SPI 0306.1.7 - *Select appropriate units and tools to solve problems involving measures.TN SPI 0306.1.8 - *Express answers clearly in verbal, numerical, or graphical (bar and picture) form, using units when appropriate.

Topic 4 - Data Analysis, Statistics, and Probability

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

TN SPI 0306.2 - Number and OperationsTN SPI 0306.2.1 - *Read and write numbers up to 10,000 in numerals and up to 1,000 in words.


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

TN SPI 0306.2.2 - *Identify the place value of numbers in the ten-thousands, thousands, hundreds, tens, and ones positions.


Obj. 3 - Determine the value of a digit in a 4- or 5-digit whole number

Obj. 4 - Determine which digit is in a specified place in a 4- or 5-digit whole number

TN SPI 0306.2.3 - *Convert between expanded and standard form with whole numbers to 10,000.


Obj. 5 - Represent a 4-digit whole number as thousands, hundreds, tens, and ones

Obj. 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 form

TN SPI 0306.2.4 - *Compare and order numbers up to 10,000 using the words less than, greater than, and equal to, and the symbols <, >, =.


Obj. 11 - Compare 4- or 5-digit whole numbers using the symbols <, >, and =

Obj. 12 - Order 4- or 5-digit whole numbers in ascending or descending order

TN SPI 0306.2.5 - *Identify various representations of multiplication and division.


Obj. 33 - Use a multiplication sentence to represent an area or an array modelObj. 34 - Use a division sentence to represent objects divided into equal groups





TN SPI 0306.2.6 - *Recall basic multiplication facts through 10 times10 and the related division facts.


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

Obj. 37 - Know basic division facts to 100 ÷ 10Obj. 39 - WP: Multiply using basic facts to 10 x 10Obj. 40 - WP: Divide using basic facts to 100 ÷ 10Obj. 41 - Complete a multiplication and division fact family

Topic 2 - Algebraic Thinking Obj. 60 - Recognize equivalent multiplication or division expressions involving basic facts

TN SPI 0306.2.7 - *Compute multiplication problems that involve multiples of ten using basic number facts.


Obj. 42 - Multiply a 1-digit whole number by a multiple of 10 to 100

TN SPI 0306.2.8 - *Solve problems that involve the inverse relationship between multiplication and division.

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

TN SPI 0306.2.9 - *Solve contextual problems involving the addition (with and without regrouping) and subtraction (without regrouping) of two- and three digit whole numbers.


Obj. 13 - Add 3- and 4-digit numbers with regrouping

Obj. 14 - Add three 2- to 3-digit whole numbers

Topic 2 - Algebraic Thinking Obj. 56 - Determine the missing addend in a number sentence involving 3-digit numbersObj. 57 - Determine the missing subtrahend in a number sentence involving 3-digit numbers

TN SPI 0306.2.10 - *Identify equivalent fractions given by various representations.


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

Obj. 50 - Identify equivalent fractions using models

TN SPI 0306.2.11 - *Recognize and use different interpretations of fractions.


Obj. 46 - Identify a fraction represented by a point on a number line





TN SPI 0306.2.12 - *Name fractions in various contexts that are less than, equal to, or greater than one.

TN SPI 0306.2.13 - *Recognize, compare, and order fractions (benchmark fractions, common numerators, or common denominators).


Obj. 48 - Compare fractions using models

Obj. 51 - Compare fractions with like denominatorsObj. 52 - Compare fractions with like numerators

TN SPI 0306.2.14 - *Add and subtract fractions with like denominators.


Obj. 54 - Determine fraction pairs that total 1

TN SPI 0306.3 - AlgebraTN SPI 0306.3.1 - *Verify a conclusion using algebraic properties.

TN SPI 0306.3.2 - *Express mathematical relationships using number sentences/equations.

Topic 2 - Algebraic Thinking Obj. 63 - WP: Determine a multiplication or division sentence for a given situation

TN SPI 0306.3.3 - *Find the missing values in simple multiplication and division equations.

Topic 2 - Algebraic Thinking Obj. 58 - Determine the missing multiplicand in a number sentence involving basic facts

Obj. 59 - Determine the missing dividend or divisor in a number sentence involving basic facts

TN SPI 0306.3.4 - *Describe or extend (including finding missing terms) geometric and numeric patterns.

Topic 2 - Algebraic Thinking Obj. 64 - Extend a number pattern

Obj. 65 - Determine a rule for a table of related number pairsObj. 66 - WP: Find the missing number in a table of paired values

TN SPI 0306.4 - Geometry and MeasurementTN SPI 0306.4.1 - *Recognize polygons and be able to identify examples based on geometric definitions.TN SPI 0306.4.2 - *Determine if two figures are congruent based on size and shape.


Obj. 100 - Identify congruent shapes

TN SPI 0306.4.3 - *Identify the line of symmetry in a two-dimensional design or shape.





TN SPI 0306.4.4 - *Calculate the perimeter of shapes made from polygons.


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

TN SPI 0306.4.5 - *Choose reasonable units of measure, estimate common measurements using benchmarks, and use appropriate tools to make measurements.


Obj. 84 - Read a thermometer in degrees Fahrenheit or Celsius

TN SPI 0306.4.6 - *Measure length to the nearest centimeter or half inch.

TN SPI 0306.4.7 - *Solve problems requiring the addition and subtraction of lengths.


Obj. 70 - Add or subtract compound units of length in inches and feet with no conversionObj. 71 - WP: Add or subtract compound units of length in inches and feet with no conversion

TN SPI 0306.5 - Data Analysis, Statistics, and ProbabilityTN SPI 0306.5.1 - *Interpret a frequency table, bar graph, pictograph, or line plot.


Obj. 106 - Answer a question using information from a bar graph with a scale interval of 5 or 10Obj. 107 - Read a line plotObj. 109 - Answer a question using information from a line plotObj. 111 - Answer a question using information from a frequency table

TN SPI 0306.5.2 - *Solve problems in which data is represented in tables or graph.TN SPI 0306.5.3 - *Make predictions based on various representations of data.



Agency Tag Set NameTennessee, Math, 2008, Grade 4, Performance Indicators State, State Department of EducationStandard Topic Description Objective DescriptionTN SPI 0406.1 - Mathematical ProcessesTN SPI 0406.1.1 - *Verify a conclusion using the commutative, associative and distributive properties.


Obj. 21 - Apply the distributive property to the multiplication of a 2-digit number by a 1- or 2-digit number

Obj. 22 - Apply the distributive property to multiply a multi-digit number by a 1-digit number

TN SPI 0406.1.2 - *Compare decimals using concrete and pictorial representations.TN SPI 0406.1.3 - *Determine the correct change from a transaction.TN SPI 0406.1.4 - *Compare objects with respect to a given geometric or physical attribute and select appropriate measurement instrument.

TN SPI 0406.2 - Number and OperationsTN SPI 0406.2.1 - *Read and write numbers from hundredths to hundred-thousands in numerals and in words.


Obj. 1 - Read a 6-digit whole number

Obj. 2 - Determine the word form of a 6-digit whole numberObj. 62 - Read a decimal number through the hundredths placeObj. 63 - Determine the word form of a decimal number through the hundredths place

TN SPI 0406.2.2 - *Locate and place mixed numbers on the number line.


Obj. 44 - Identify a mixed number represented by a point on a number lineObj. 45 - Locate a mixed number on a number line

TN SPI 0406.2.3 - *Identify the place value of a specified digit in a number and the quantity it represents.


Obj. 3 - Determine the value of a digit in a 6-digit whole number

Obj. 4 - Determine which digit is in a specified place in a 6-digit whole number

TN SPI 0406.2.4 - *Find factors, common factors, multiples, and common multiples of two numbers.TN SPI 0406.2.5 - *Generate equivalent forms of common fractions and decimals and use them to compare size.


Obj. 50 - Simplify a fraction






Obj. 51 - Determine a set of equivalent fractionsObj. 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

TN SPI 0406.2.6 - *Use the symbols < , > and = to compare common fractions and decimals in both increasing and decreasing order.


Obj. 52 - Compare fractions on a number line

Obj. 72 - Compare decimal numbers through the hundredths place

TN SPI 0406.2.7 - *Convert improper fractions into mixed numbers and/or decimals.


Obj. 47 - Identify an improper fraction represented by a model of a mixed number

TN SPI 0406.2.8 - *Add and subtract proper fractions with like and unlike denominators and simplify the answer.


Obj. 54 - Add fractions with like denominators no greater than 10 using models

Obj. 55 - Add fractions with like denominators no greater than 10Obj. 56 - Add fractions with like denominators no greater than 10 and simplify the sumObj. 57 - WP: Add fractions with like denominators no greater than 10 and simplify the sumObj. 58 - Subtract fractions with like denominators no greater than 10 using modelsObj. 59 - Subtract fractions with like denominators no greater than 10

Obj. 60 - Subtract fractions with like denominators no greater than 10 and simplify the differenceObj. 61 - WP: Subtract fractions with like denominators no greater than 10 and simplify the difference

TN SPI 0406.2.9 - *Add and subtract decimals through hundredths.


Obj. 74 - Determine decimal number pairs that total 1 or 10





Obj. 75 - Add two decimal numbers through hundredthsObj. 76 - Subtract two decimal numbers through hundredthsObj. 77 - WP: Add or subtract money amounts greater than $1Obj. 78 - WP: Solve a money problem involving 2-stepsObj. 79 - WP: Add or subtract decimal numbers of the same place through hundredths

TN SPI 0406.2.10 - *Solve contextual problems using whole numbers, fractions, and decimals.


Obj. 9 - Add up to 4-digit whole numbers in expanded form

Obj. 10 - Add a 5-digit or greater whole number and a 3-digit or greater whole numberObj. 11 - Add three multi-digit whole numbersObj. 12 - Subtract a smaller number from a 3- or 4-digit whole number in expanded formObj. 13 - Subtract a 3-digit or greater whole number from a 5-digit or greater whole numberObj. 14 - WP: Add a 5-digit or greater whole number and a 3-digit or greater whole numberObj. 15 - WP: Add three multi-digit whole numbersObj. 16 - WP: Subtract a 3-digit or greater whole number from a 5-digit or greater whole numberObj. 19 - WP: Solve a 2-step problem involving addition and/or subtraction of multi-digit whole numbers

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





Obj. 28 - WP: Multiply a 2-digit whole number by a 2-digit whole number


Obj. 33 - Divide a multi-digit whole number by 10 or 100 with no remainderObj. 34 - Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotientObj. 35 - Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotientObj. 36 - Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotientObj. 37 - Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotientObj. 38 - WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient

Obj. 39 - WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient

Obj. 40 - WP: Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotient


Obj. 42 - WP: Solve a 2-step whole number problem using more than 1 operationObj. 57 - WP: Add fractions with like denominators no greater than 10 and simplify the sumObj. 61 - WP: Subtract fractions with like denominators no greater than 10 and simplify the differenceObj. 77 - WP: Add or subtract money amounts greater than $1Obj. 78 - WP: Solve a money problem involving 2-steps





Obj. 79 - WP: Add or subtract decimal numbers of the same place through hundredths

TN SPI 0406.2.11 - *Solve problems using whole number multi-digit multiplication.


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


TN SPI 0406.2.12 - *Solve problems using whole number division with one- or two-digit divisors.


Obj. 33 - Divide a multi-digit whole number by 10 or 100 with no remainder

Obj. 34 - Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotientObj. 35 - Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotientObj. 36 - Divide a 2-digit whole number by a 1-digit whole number with a remainder in the quotientObj. 37 - Divide a 3-digit whole number by a 1-digit whole number with a remainder in the quotientObj. 38 - WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder in the quotient

Obj. 39 - WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder in the quotient







TN SPI 0406.3 - AlgebraTN SPI 0406.3.1 - *Use letters and symbols to represent an unknown quantity and write a simple mathematical expression.TN SPI 0406.3.2 - *Make generalizations about geometric and numeric patterns.TN SPI 0406.3.3 - *Represent and analyze patterns using words, function tables, and graphs.

Topic 2 - Algebra Obj. 90 - Generate a table of paired numbers based on a rule

Obj. 91 - Determine a rule that relates two variablesObj. 92 - Extend a number pattern in a table of related pairs

TN SPI 0406.4 - Geometry and MeasurementTN SPI 0406.4.1 - *Classify lines and line segments as parallel, perpendicular, or intersecting.


Obj. 124 - Identify a shape that has parallel or perpendicular sides

TN SPI 0406.4.2 - *Graph and interpret points with whole number or letter coordinates on grids or in the first quadrant of the coordinate plane.


Obj. 133 - Identify the location of an ordered pair in the first quadrant using compass directions

Obj. 134 - Determine the ordered pair of a point in the first quadrant using compass directions

TN SPI 0406.4.3 - *Construct geometric figures with vertices at points on a coordinate grid.TN SPI 0406.4.4 - *Identify acute, obtuse, and right angles in 2-dimensional shapes.


Obj. 121 - Classify an angle given a picture

Obj. 122 - Classify an angle given its measure

TN SPI 0406.4.5 - *Identify attributes of simple and compound figures composed of 2- and 3- dimensional shapes.


Obj. 127 - Relate a polygon to attributes or characteristics

TN SPI 0406.4.6 - *Determine situations in which a highly accurate measurement is important.

TN SPI 0406.4.7 - *Determine appropriate size of unit of measurement in problem situations involving length, capacity or weight.


Obj. 93 - Measure length to the nearest eighth of an inch





Obj. 94 - Measure length to the nearest millimeter

TN SPI 0406.4.8 - *Convert measurements within a single system that are common in daily life (e.g., hours and minutes, inches and feet, centimeters and meters, quarts and gallons, liters and milliliters).


Obj. 95 - Convert between customary units of capacity using whole numbers

Obj. 96 - Convert between customary units of weight using whole numbers

Obj. 97 - Convert between metric units of capacity using whole numbersObj. 98 - Convert between metric units of mass using whole numbers

Obj. 99 - Convert between millimeters and centimeters or meters using whole numbers

TN SPI 0406.4.9 - *Solve problems involving area and/or perimeter of rectangular figures.


Obj. 110 - Determine the perimeter of a rectangle given a picture showing length and widthObj. 111 - WP: Determine the perimeter of a rectangle given a picture showing length and widthObj. 112 - WP: Determine the perimeter of a square or rectangleObj. 113 - Determine the missing side length of a rectangle given a side length and the perimeterObj. 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 rectangleObj. 118 - Determine the missing side length of a rectangle given a side length and the area

TN SPI 0406.4.10 - *Identify images resulting from reflections, translations, or rotations.


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

TN SPI 0406.5 - Data, Probability and StatisticsTN SPI 0406.5.1 - *Depict data using various representations (e.g., tables, pictographs, line graphs, bar graphs).


Obj. 136 - Use a line graph to represent data





TN SPI 0406.5.2 - *Solve problems using estimation and comparison within a single set of data.TN SPI 0406.5.3 - *Given a set of data or a graph, describe the distribution of the data using median, range, or mode.TN SPI 0406.5.4 - *List all possible outcomes of a given situation or event.


Obj. 143 - List possible outcomes of a simple event



Agency Tag Set NameTennessee, Math, 2008, Grade 5, Performance Indicators State, State Department of EducationStandard Topic Description Objective DescriptionTN SPI 0506.1 - Mathematical ProcessesTN SPI 0506.1.1 - *Given a series of geometric statements, draw a conclusion about the figure described.TN SPI 0506.1.2 - *Estimate fraction and decimal sums or differences.


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. 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

TN SPI 0506.1.3 - *Recognize the unit associated with the remainder in a division problem or the meaning of the fractional part of a whole given in either decimal or fraction form.

TN SPI 0506.1.4 - *Identify missing information and/or too much information in contextual problems.

TN SPI 0506.2 - Number and OperationsTN SPI 0506.2.1 - *Read and write numbers from millions to millionths in various contexts.TN SPI 0506.2.2 - *Write the prime factorization of numbers through 50 using both exponential and standard notation.


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

TN SPI 0506.2.3 - *Select a reasonable solution to a real-world division problem in which the remainder must be considered.






TN SPI 0506.2.4 - *Solve problems involving the division of two- and three-digit whole numbers by one- and two-digit whole numbers.


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

TN SPI 0506.2.5 - *Solve addition and subtraction problems involving both fractions and decimals.


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

TN SPI 0506.2.6 - *Add and subtract proper and improper fractions as well as mixed numbers.


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 sum





Obj. 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 differenceObj. 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





TN SPI 0506.2.7 - *Recognize equivalent representations for the same number.


Obj. 31 - Determine equivalent fractions not in simplest form

Obj. 32 - Determine the simplest form of a fraction

TN SPI 0506.2.8 - *Write terminating decimals in the form of fractions or mixed numbers.


Obj. 90 - Convert a decimal number through thousandths to a simplified fractionObj. 91 - Convert a fraction with a denominator that is a factor of 10, 100, or 1,000 to decimal notation

TN SPI 0506.2.9 - *Compare whole numbers, decimals and fractions using the symbols <, >, and =.


Obj. 33 - Compare fractions with unlike denominators

Obj. 72 - Compare decimal numbers to thousandths represented in expanded formObj. 73 - Compare decimal numbers of differing places to thousandths

TN SPI 0506.3 - AlgebraTN SPI 0506.3.1 - *Evaluate algebraic expressions involving decimals and fractions using order of operations.TN SPI 0506.3.2 - *Evaluate multi-step numerical expressions involving fractions using order of operations.

TN SPI 0506.3.3 - *Find the unknown in single-step equations involving fractions and mixed numbers.

TN SPI 0506.3.4 - *Given a set of values, identify those that make an inequality a true statement.TN SPI 0506.4 - Geometry and MeasurementTN SPI 0506.4.1 - *Solve contextual problems that require calculating the area of triangles and parallelograms.


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

Obj. 128 - Use a formula to determine the area of a parallelogram

Obj. 129 - WP: Determine the area of a triangle

TN SPI 0506.4.2 - *Decompose irregular shapes to find perimeter and area.


Obj. 127 - Determine the area of a complex figure divided into basic shapes





TN SPI 0506.4.3 - *Identify a three-dimensional object from two-dimensional representations of that object and vice versa.


Obj. 142 - Determine the 3-dimensional shape that can be formed from a net

Obj. 143 - Determine a net of a 3-dimensional shape

TN SPI 0506.4.4 - *Solve problems involving surface area and volume of rectangular prisms and polyhedral solids.


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

Obj. 133 - WP: Determine the volume of a rectangular prism given a diagramObj. 134 - Determine the volume of a rectangular prismObj. 135 - WP: Determine the volume of a rectangular prismObj. 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

TN SPI 0506.4.5 - *Find the length of vertical or horizontal line segments in the first quadrant of the coordinate system, including problems that require the use of fractions and decimals.TN SPI 0506.4.6 - *Record measurements in context to reasonable degree of accuracy using decimals and/or fractions.TN SPI 0506.5 - Data, Probability and StatisticsTN SPI 0506.5.1 - *Depict data using various representations, including decimal and/or fractional data.


Obj. 155 - Use a double- or stacked-bar graph to represent data

TN SPI 0506.5.2 - *Make predictions based on various data representations, including double bar and line graphs.


Obj. 153 - WP: Extend a line graph to solve a problem

TN SPI 0506.5.3 - *Calculate measures of central tendency to analyze data.


Obj. 159 - Determine the mode from a graph

Obj. 161 - Determine the mean of a set of whole number data, whole number resultsObj. 162 - Determine the median of an odd number of data values





Obj. 163 - Determine the mode of a set of whole number data



Agency Tag Set NameTennessee, Math, 2008, Grade 6, Performance Indicators State, State Department of EducationStandard Topic Description Objective DescriptionTN SPI 0606.1 - Mathematical ProcessesTN SPI 0606.1.1 - *Make conjectures and predictions based on data.

TN SPI 0606.1.2 - *Judge the reasonableness of the results of rational number estimates and/or computations.TN SPI 0606.1.3 - *Use concrete, pictorial, and symbolic representation for integers.TN SPI 0606.1.4 - *Select the representation that models one of the arithmetic properties (commutative, associative, or distributive).

TN SPI 0606.1.5 - *Model algebraic expressions using algebra tiles.

TN SPI 0606.2 - Number & OperationsTN SPI 0606.2.1 - *Solve problems involving the multiplication and division of fractions.


Obj. 22 - Multiply a fraction by a fraction

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

TN SPI 0606.2.2 - *Solve problems involving the addition, subtraction, multiplication, and division of mixed numbers.


Obj. 17 - Add mixed numbers with unlike denominators or a mixed number and a fraction with unlike denominators and simplify the sumObj. 18 - Subtract a mixed number from a whole numberObj. 19 - Subtract mixed numbers with unlike denominators or a mixed number and a fraction and simplify the differenceObj. 20 - Add and subtract three unlike-denominator fractions, mixed numbers, or fractions and mixed numbers, and simplify the answer






Obj. 21 - WP: Add or subtract mixed numbers with unlike denominators or a mixed number and a fraction with unlike denominators and simplify the sum or difference

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. 31 - Divide a mixed number by a fractionObj. 32 - Divide a mixed number by a mixed numberObj. 34 - WP: Multiply or divide two mixed numbers or a mixed number and a fraction

TN SPI 0606.2.3 - *Solve problems involving the addition, subtraction, multiplication, and division of decimals.


Obj. 40 - Add three decimal numbers

Obj. 41 - Add and subtract three decimal numbersObj. 42 - WP: Add and subtract three decimal numbersObj. 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 thousandthsObj. 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. 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 neededObj. 65 - WP: Divide a decimal through thousandths by a decimal through thousandths, rounded quotient if needed

TN SPI 0606.2.4 - *Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals.


Obj. 20 - Add and subtract three unlike-denominator fractions, mixed numbers, or fractions and mixed numbers, and simplify the answer

Obj. 35 - WP: Solve a 2-step problem involving fractionsObj. 40 - Add three decimal numbers

Obj. 41 - Add and subtract three decimal numbers





Obj. 42 - WP: Add and subtract three decimal numbersObj. 67 - WP: Solve a 2-step problem involving decimals

TN SPI 0606.2.5 - *Transform numbers from one form to another (fractions, decimals, percents, and mixed numbers).


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 percentageObj. 73 - Convert a percentage to a decimal numberObj. 74 - Convert a fraction to a percentageObj. 75 - Convert a percentage to a fraction

TN SPI 0606.2.6 - *Solve problems involving ratios, rates and percents.


Obj. 78 - Determine a percent where a ratio, not in 100ths, is given in wordsObj. 79 - Calculate a percent of a whole number where the answer is a whole numberObj. 80 - WP: Calculate the percent of a whole number where the answer is a whole numberObj. 81 - WP: Determine a ratio using whole numbers less than 50Obj. 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

TN SPI 0606.2.7 - *Locate positive rational numbers on the number line.

TN SPI 0606.2.8 - *Locate integers on the number line.


Obj. 89 - Identify or locate an integer on a number line

TN SPI 0606.3 - Algebra





TN SPI 0606.3.1 - *Represent on a number line the solution of a linear inequality.TN SPI 0606.3.2 - *Use order of operations and parentheses to simplify expressions and solve problems.


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

TN SPI 0606.3.3 - *Write equations that correspond to given situations or represent a given mathematical relationship.

Topic 2 - Algebra Obj. 96 - WP: Use a 2-variable equation to represent a situation involving a direct proportion

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

TN SPI 0606.3.4 - *Rewrite expressions to represent quantities in different ways.


Obj. 54 - Relate division by a whole number power of ten to multiplication by the related decimal fraction power of tenObj. 58 - Relate division by a decimal fraction power of ten to multiplication by the related whole number power of ten

TN SPI 0606.3.5 - *Translate between verbal expressions/sentences and algebraic expressions/equations.

Topic 2 - Algebra Obj. 93 - Use a variable expression with two operations to represent a verbal expression

Obj. 94 - Use a verbal expression to represent a variable expression with two operationsObj. 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. 97 - WP: Use a 2-variable linear equation to represent a situation

TN SPI 0606.3.6 - *Solve two-step linear equations using number sense, properties, and inverse operations.

Topic 2 - Algebra Obj. 102 - Solve a proportion

TN SPI 0606.3.7 - *Use algebraic expressions and properties to analyze numeric and geometric patterns.

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

TN SPI 0606.3.8 - *Select the qualitative graph that models a contextual situation (e.g., water filling then draining from a bathtub).





TN SPI 0606.3.9 - *Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system.

Topic 2 - Algebra Obj. 106 - Use a first quadrant graph to represent the values in an input-output table

Obj. 107 - Use a graph to determine the entries in an input-output table


Obj. 138 - Determine the location of an ordered pair in any quadrantObj. 139 - Determine the ordered pair of a point in any quadrant

TN SPI 0606.4 - Geometry & MeasurementTN SPI 0606.4.1 - *Identify, define or describe geometric shapes given a visual representation or a written description of its properties.


Obj. 130 - Identify parallel, perpendicular, or intersecting lines

Obj. 131 - Identify attributes of a 3-dimensional shapeObj. 132 - Know the properties of a triangle or a quadrilateral

TN SPI 0606.4.2 - *Find a missing angle measure in problems involving interior/exterior angles and/or their sums.TN SPI 0606.4.3 - *Solve problems using the Triangle Inequality Theorem.TN SPI 0606.4.4 - *Calculate with circumferences and areas of circles.


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

TN SPI 0606.4.5 - *Determine the surface area and volume of prisms, pyramids and cylinders.


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

TN SPI 0606.4.6 - *Given the volume of a cone/pyramid, find the volume of the related cylinder/prism or vice versa.TN SPI 0606.5 - Data Analysis, Statistics, & ProbabilityTN SPI 0606.5.1 - *Determine the theoretical probability of simple and compound events in familiar contexts.


Obj. 152 - Determine the probability of a single event

TN SPI 0606.5.2 - *Identify features of graphs that may be misleading.





TN SPI 0606.5.3 - *Determine whether or not a sample is biased.



Agency Tag Set NameTennessee, Math, 2008, Grade 7, Performance Indicators State, State Department of EducationStandard Topic Description Objective DescriptionTN SPI 0706.1 - Mathematical ProcessesTN SPI 0706.1.1 - *Use proportional reasoning to solve mixture/concentration problems.TN SPI 0706.1.2 - *Generalize a variety of patterns to a symbolic rule from tables, graphs, or words.

Topic 2 - Algebra Obj. 68 - Use a variable expression with two operations to represent a table of paired numbers

TN SPI 0706.1.3 - *Recognize whether information given in a table, graph, or formula suggests a directly proportional, linear, inversely proportional, or other nonlinear relationship.TN SPI 0706.1.4 - *Use scales to read maps.


Obj. 106 - Determine the scale for a drawing or map questionObj. 107 - WP: Solve a problem involving a map or scale drawing

TN SPI 0706.2 - Number & OperationsTN SPI 0706.2.1 - *Simplify numerical expressions involving rational numbers.TN SPI 0706.2.2 - *Compare rational numbers using appropriate inequality symbols.


Obj. 59 - Compare rational numbers (positive and negative)

TN SPI 0706.2.3 - *Use rational numbers and roots of perfect squares/cubes to solve contextual problems.


Obj. 3 - Determine the whole number that can be squared to make a given number

Obj. 4 - Evaluate the positive square root of a perfect squareObj. 29 - WP: Answer a question involving a fraction and a percentObj. 30 - WP: Answer a question involving a fraction and a decimalObj. 31 - WP: Solve a multi-step problem involving decimal numbersObj. 32 - WP: Solve a multi-step problem involving fractions or mixed numbers

TN SPI 0706.2.4 - *Determine the approximate location of square/cube roots on a number line.

TN SPI 0706.2.5 - *Solve contextual problems that involve operations with integers.


Obj. 35 - Add integers using a number line

Obj. 36 - Add integers using a model

Obj. 37 - Add integers






Obj. 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

TN SPI 0706.2.6 - *Express the ratio between two quantities as a percent, and a percent as a ratio or fraction.

TN SPI 0706.2.7 - *Use ratios and proportions to solve problems.


Obj. 44 - WP: Determine the ratio of two whole numbers, at least one of which is larger than 50Obj. 45 - Determine ratios equivalent to a given ratio of two whole numbers, at least one of which is larger than 50Obj. 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. 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

TN SPI 0706.3 - Algebra





TN SPI 0706.3.1 - *Evaluate algebraic expressions involving rational values for coefficients and/or variables.

Topic 2 - Algebra Obj. 61 - Evaluate a rational expression involving variables with two or more terms in the numerator or denominatorObj. 62 - Evaluate a 1-variable expression, with two or three operations, using integer substitution

Obj. 63 - Evaluate a 2-variable expression, with two or three operations, using integer substitution

Obj. 64 - Evaluate an algebraic expression involving whole number exponentsObj. 66 - WP: Evaluate a variable expression involving exponents

TN SPI 0706.3.2 - *Determine whether a relation (represented in various ways) is a function.TN SPI 0706.3.3 - *Given a table of inputs x and outputs f(x), identify the function rule and continue the pattern.

Topic 2 - Algebra Obj. 68 - Use a variable expression with two operations to represent a table of paired numbers

Obj. 81 - Use a table to represent a linear function

TN SPI 0706.3.4 - *Interpret the slope of a line as a unit rate given the graph of a proportional relationship.

TN SPI 0706.3.5 - *Represent proportional relationships with equations, tables and graphs.TN SPI 0706.3.6 - *Solve linear equations with rational coefficients symbolically or graphically.

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

Obj. 74 - Solve a 2-step linear equation involving integersObj. 83 - Determine the graph of a 1-operation linear function

TN SPI 0706.3.7 - *Translate between verbal and symbolic representations of real-world phenomena involving linear equations.

Topic 2 - Algebra Obj. 75 - WP: Use a 1-variable 1-step equation to represent a situation

TN SPI 0706.3.8 - *Solve contextual problems involving two-step linear equations.TN SPI 0706.3.9 - *Solve linear inequalities in one variable with rational coefficients symbolically or graphically.

Topic 2 - Algebra Obj. 76 - Determine the graph of an inequality on a number line





Obj. 77 - Determine some solutions to a 1-variable linear inequality

Obj. 78 - Solve a 1-step linear inequalityObj. 79 - Determine the graph of the solution set of a 1-step linear inequality

TN SPI 0706.4 - Geometry & MeasurementTN SPI 0706.4.1 - *Solve contextual problems involving similar triangles.


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

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

TN SPI 0706.4.2 - *Use SSS, SAS, and AA to determine if two triangles are similar.TN SPI 0706.4.3 - *Apply scale factor to solve problems involving area and volume.TN SPI 0706.5 - Data Analysis, Statistics, & ProbabilityTN SPI 0706.5.1 - *Interpret and employ various graphs and charts to represent data.


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 histogramObj. 129 - Read a double stem-and-leaf plotObj. 130 - Answer a question using information from a double stem-and-leaf plot

TN SPI 0706.5.2 - *Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, box-and-whisker plots, and stem-and-leaf plots) and use them to create accurate representations of given data.


Obj. 126 - Use a circle graph to represent percentage data

Obj. 127 - Use a histogram to represent data

TN SPI 0706.5.3 - *Calculate and interpret the mean, median, upper-quartile, lower-quartile, and interquartile range of a set of data.


Obj. 132 - Determine the mean of a set of data





Obj. 134 - Determine the median of a set of data

TN SPI 0706.5.4 - *Use theoretical probability to make predictions.



Agency Tag Set NameTennessee, Math, 2008, Grade 8, Performance Indicators State, State Department of EducationStandard Topic Description Objective DescriptionTN SPI 0806.1 - Mathematical ProcessesTN SPI 0806.1.1 - *Solve problems involving rate/time/distance (i.e., d = rt).


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

TN SPI 0806.1.2 - *Interpret a qualitative graph representing a contextual situation.TN SPI 0806.1.3 - *Calculates rates involving cost per unit to determine the best buy.TN SPI 0806.2 - Number & OperationsTN SPI 0806.2.1 - *Order and compare rational and irrational numbers and locate on the number line.


Obj. 15 - Approximate the location of a square root on a number line

Obj. 19 - Compare rational numbers and/or irrational numbers in various formsObj. 20 - Order rational numbers and irrational numbers

TN SPI 0806.2.2 - *Identify numbers and square roots as rational or irrational.


Obj. 18 - Identify rational or irrational numbers

TN SPI 0806.2.3 - *Use scientific notation to compute products and quotients.TN SPI 0806.2.4 - *Solve real-world problems requiring scientific notation.

TN SPI 0806.3 - AlgebraTN SPI 0806.3.1 - *Find solutions to systems of two linear equations in two variables.TN SPI 0806.3.2 - *Solve the linear equation f(x) = g(x).

Topic 2 - Algebra Obj. 37 - Solve a 1-step equation involving rational numbersObj. 38 - Solve a 2-step equation involving rational numbersObj. 41 - WP: Solve a problem involving a 1-variable, 2-step equation

TN SPI 0806.3.3 - *Solve and graph linear inequalities in two variables.

TN SPI 0806.3.4 - *Translate between various representations of a linear function.

Topic 2 - Algebra Obj. 39 - WP: Use a 1-variable equation with rational coefficients to represent a situation involving two operationsObj. 40 - WP: Use a 2-variable equation with rational coefficients to represent a situation






Obj. 42 - Determine the graph of a line for a given table of valuesObj. 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

TN SPI 0806.3.5 - *Determine the slope of a line from an equation, two given points, a table or a graph.

Topic 2 - Algebra Obj. 46 - Determine the slope of a line given its graph or a graph of a line with a given slope

TN SPI 0806.3.6 - Analyze the graph of a linear function to find solutions and intercepts.

Topic 2 - Algebra Obj. 47 - Determine the x- or y-intercept of a line given its graph

TN SPI 0806.3.7 - *Identify, compare and contrast functions as linear or nonlinear.TN SPI 0806.4 - Geometry & MeasurementTN SPI 0806.4.1 - *Use the Pythagorean Theorem to solve contextual problems.TN SPI 0806.4.2 - *Apply the Pythagorean theorem to find distances between points in the coordinate plane to measure lengths and analyze polygons and polyhedra.


Obj. 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

TN SPI 0806.4.3 - *Find measures of the angles formed by parallel lines cut by a transversal.


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

TN SPI 0806.4.4 - *Convert between and within the U.S. Customary System and the metric system.

TN SPI 0806.4.5 - *Identify the intersection of two or more geometric figures in the plane.TN SPI 0806.5 - Data Analysis, Statistics, & Probability





TN SPI 0806.5.1 - *Calculate probabilities of events for simple experiments with equally probable outcomes.TN SPI 0806.5.2 - *Use a variety of methods to compute probabilities for compound events (e.g., multiplication, organized lists, tree diagrams, area models).


Obj. 96 - Determine the probability of three or more independent events

Obj. 97 - Determine the probability of three or more dependent eventsObj. 98 - Determine the probability of an event consisting of mutually exclusive eventsObj. 99 - Make a prediction involving the probability of compound events

TN SPI 0806.5.3 - *Generalize the relationship between two sets of data using scatterplots and lines of best fit.


Obj. 78 - Determine if a scatter plot shows a positive relationship, a negative relationship, or no relationship between the variablesObj. 79 - Approximate a trend line for a scatter plot

TN SPI 0806.5.4 - *Recognize misrepresentations of published data in the media.



Agency Tag Set NameTennessee, Math, 2008, Algebra I, Performance Indicators State, State Department of EducationStandard Topic Description Objective DescriptionTN SPI 3102.1 - Mathematical ProcessesTN SPI 3102.1.1 - *Interpret patterns found in sequences, tables, and other forms of quantitative information using variables or function notation.

TN SPI 3102.1.2 - *Write an equation symbolically to express a contextual problem.

Topic 3 - Linear Equations and Inequalities

Obj. 16 - WP: Determine a linear equation that can be used to solve a percent problemObj. 18 - WP: Determine an equation representing a direct variation or an inverse variation

TN SPI 3102.1.3 - *Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems.

Topic 1 - Numbers and Operations

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

Obj. 3 - Evaluate a multi-step numerical expression involving absolute valueObj. 4 - Evaluate a fraction raised to an integer powerObj. 5 - Evaluate a numerical expression involving one or more exponents and multiple forms of rational numbers

Topic 5 - Properties of Powers Obj. 58 - Apply the product of powers property to a monomial numerical expressionObj. 59 - Apply the product of powers property to a monomial algebraic expressionObj. 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 expressions

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

Accelerated Math Grades 9 - 12


Agency Tag Set NameTennessee, Math, 2008, Algebra I, Performance Indicators State, State Department of EducationStandard Topic Description Objective Description


Obj. 67 - Apply properties of exponents to monomial algebraic expressions

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

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

TN SPI 3102.1.4 - *Translate between representations of functions that depict real-world situations.

TN SPI 3102.1.5 - *Recognize and express the effect of changing constants and/or coefficients in problem solving.TN SPI 3102.1.6 - *Determine and interpret slope in multiple contexts including rate of change in real-world problems.


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 line

TN SPI 3102.2 - Number & OperationsTN SPI 3102.2.1 - *Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions.

Topic 10 - Radical Expressions Obj. 98 - Simplify a monomial numerical expression involving the square root of a whole number

Obj. 99 - Multiply monomial numerical expressions involving radicalsObj. 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. 103 - Rationalize the denominator of a numerical radical expressionObj. 104 - Simplify a monomial algebraic radical expressionObj. 105 - Rationalize the denominator of an algebraic radical expression





Obj. 106 - Add or subtract algebraic radical expressionsObj. 107 - Multiply monomial algebraic radical expressionsObj. 108 - Divide monomial algebraic radical expressions

TN SPI 3102.2.2 - *Multiply, divide, and square numbers expressed in scientific notation.TN SPI 3102.2.3 - *Describe and/or order a given set of real numbers including both rational and irrational numbers.TN SPI 3102.3 - AlgebraTN SPI 3102.3.1 - *Express a generalization of a pattern in various representations including algebraic and function notation.TN SPI 3102.3.2 - *Operate with polynomials and simplify results.

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

Topic 12 - Rational Expressions Obj. 117 - Divide a polynomial expression by a monomialObj. 118 - Divide a polynomial expression by a binomial

TN SPI 3102.3.3 - *Factor polynomials.

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

TN SPI 3102.3.4 - *Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables.

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

Obj. 115 - Multiply rational expressionsObj. 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

TN SPI 3102.3.5 - *Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value.


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 sidesObj. 20 - Solve a 1-variable absolute value equationObj. 21 - Solve a 1-variable linear inequality with the variable on one sideObj. 22 - Solve a 1-variable linear inequality with the variable on both sidesObj. 23 - Solve a 1-variable compound inequalityObj. 38 - Solve a 2-variable linear inequality for the dependent variable

Obj. 43 - Solve a 1-variable absolute value inequality





Topic 4 - Systems of Linear Equations and Inequalities

Obj. 50 - WP: Determine a system of linear equations that represents a given situationObj. 51 - WP: Solve a mixture problem that can be represented by a system of linear equationsObj. 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 equationsObj. 56 - WP: Determine a system of linear inequalities that represents a given situation

Topic 11 - Radical Equations and Functions

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

TN SPI 3102.3.6 - *Interpret various relations in multiple representations.

TN SPI 3102.3.7 - *Determine domain and range of a relation, determine whether a relation is a function and/or evaluate a function at a specified rational value.

Topic 2 - Relations and Functions

Obj. 8 - Determine if a relation is a function

Obj. 9 - Determine the domain or range of a functionObj. 11 - Evaluate a function written in function notation for a given value

TN SPI 3102.3.8 - *Determine the equation of a line and/or graph a linear equation.


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 formObj. 31 - Determine an equation of a line given the slope and y-intercept of the lineObj. 32 - Determine an equation that represents a graphed lineObj. 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 line

TN SPI 3102.3.9 - *Solve systems of linear equation/inequalities in two variables.


Obj. 46 - Solve a system of linear equations in two variables by substitution





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

TN SPI 3102.3.10 - *Find the solution of a quadratic equation and/or zeros of a quadratic function.

Topic 8 - Quadratic Equations and Functions

Obj. 89 - Solve a quadratic equation by taking the square root

Obj. 90 - Determine the solution(s) of an equation given in factored form

Obj. 91 - Solve a quadratic equation by factoringObj. 92 - Solve a quadratic equation using the quadratic formula

Topic 11 - Radical Equations and Functions

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

TN SPI 3102.3.11 - *Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation.

Topic 8 - Quadratic Equations and Functions

Obj. 87 - WP: Answer a question using the graph of a quadratic function

TN SPI 3102.4 - Geometry & MeasurementTN SPI 3102.4.1 - *Develop and apply strategies to estimate the area of any shape on a plane grid.TN SPI 3102.4.2 - *Solve contextual problems using the Pythagorean Theorem.TN SPI 3102.4.3 - *Solve problems involving the distance between points or midpoint of a segment.TN SPI 3102.4.4 - *Convert rates and measurements.TN SPI 3102.5 - Data Analysis, Statistics, & ProbabilityTN SPI 3102.5.1 - *Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set).





TN SPI 3102.5.2 - *Identify the effect on mean, median, mode, and range when values in the data set are changed.TN SPI 3102.5.3 - *Using a scatter-plot, determine if a linear relationship exists and describe the association between variables.TN SPI 3102.5.4 - *Generate the equation of a line that fits linear data and use it to make a prediction.

TN SPI 3102.5.5 - *Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency.



Agency Tag Set NameTennessee, Math, 2008, Geometry, Performance Indicators State, State Department of Education

Standard Topic Description Objective DescriptionTN SPI 3108.1 - Mathematical ProcessesTN SPI 3108.1.1 - *Give precise mathematical descriptions or definitions of geometric shapes in the plane and space.TN SPI 3108.1.2 - *Determine areas of planar figures by decomposing them into simpler figures without a grid.

Topic 9 - Area Obj. 79 - WP: Solve a problem involving the area of a complex shape formed by circles and polygons

TN SPI 3108.1.3 - *Use geometric understanding and spatial visualization of geometric solids to solve problems and/or create drawings.TN SPI 3108.1.4 - *Use definitions, basic postulates, and theorems about points, lines, angles, and planes to write/complete proofs and/or to solve problems.

Topic 1 - Basic Concepts of Geometry

Obj. 2 - Determine a length or an angle measure using the segment addition postulate or the angle addition postulate

Obj. 3 - Solve a problem involving a bisected angle or a bisected segment

Obj. 4 - Determine the distance between two pointsObj. 5 - Solve a problem involving the distance formulaObj. 6 - Determine the midpoint of a line segment given the coordinates of the endpointsObj. 7 - Determine the area of a right triangle or a rectangle given the coordinates of the vertices of the figureObj. 8 - Solve a problem involving the midpoint formula

Topic 2 - Parallel and Perpendicular lines

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

Topic 4 - Congruent Triangles Obj. 25 - Solve a problem involving a point on the bisector of an angle

TN SPI 3108.2 - Number & Operations

Standards List with Aligned Product SkillsProduct NameAccelerated Math Second Edition Geometry




Standard Topic Description Objective Description


TN SPI 3108.2.1 - *Analyze, apply, or interpret the relationships between basic number concepts and geometry (e.g. rounding and pattern identification in measurement, the relationship of pi to other rational and irrational numbers)

TN SPI 3108.2.2 - *Perform operations on vectors in various representations.TN SPI 3108.3 - AlgebraTN SPI 3108.3.1 - *Use algebra and coordinate geometry to analyze and solve problems about geometric figures (including circles).

Topic 1 - Basic Concepts of Geometry

Obj. 5 - Solve a problem involving the distance formula

Obj. 6 - Determine the midpoint of a line segment given the coordinates of the endpointsObj. 7 - Determine the area of a right triangle or a rectangle given the coordinates of the vertices of the figure

Topic 2 - Parallel and Perpendicular lines

Obj. 14 - Determine the coordinates of a point through which a line must pass in order to be parallel or perpendicular to a given line

TN SPI 3108.3.2 - *Use coordinate geometry to prove characteristics of polygonal figures.TN SPI 3108.3.3 - *Describe algebraically the effect of a single transformation (reflections in the x- or y-axis, rotations, translations, and dilations) on two-dimensional geometric shapes in the coordinate plane.TN SPI 3108.4 - Geometry & MeasurementTN SPI 3108.4.1 - *Differentiate between Euclidean and non-Euclidean geometries.






TN SPI 3108.4.2 - *Define, identify, describe, and/or model plane figures using appropriate mathematical symbols (including collinear and non-collinear points, lines, segments, rays, angles, triangles, quadrilaterals, and other polygons).

TN SPI 3108.4.3 - *Identify, describe and/or apply the relationships and theorems involving different types of triangles, quadrilaterals and other polygons.

Topic 3 - Relationships Within Triangles

Obj. 15 - Determine the measure of an angle using the sum of the interior angles in a triangle

Obj. 16 - Determine the measure of an angle using angle relationships and the sum of the interior angles in a triangleObj. 17 - Determine a length in a triangle using a medianObj. 18 - Solve for the length of a side of a triangle using the Pythagorean theoremObj. 19 - Solve a problem using inequalities in a triangleObj. 20 - Solve a problem involving two triangles by using the hinge theorem and other triangle inequality relationshipsObj. 21 - WP: Determine a length or an angle measure using triangle relationships

Topic 5 - Quadrilaterals and Other Polygons

Obj. 26 - Determine the measure of an angle or the sum of the angles in a polygonObj. 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. 31 - Determine a length or an angle measure in a complex figure using properties of polygons






Obj. 32 - WP: Solve a problem using the properties of angles and/or sides of polygons

Topic 9 - Area Obj. 70 - Determine the area of a quadrilateralObj. 71 - Determine a length given the area of a quadrilateralObj. 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

TN SPI 3108.4.4 - *Analyze different types and formats of proofs.

TN SPI 3108.4.5 - *Describe solids and/or surfaces in three-dimensional space when given two-dimensional representations for the surfaces of three-dimensional objects.

TN SPI 3108.4.6 - *Use various area of triangle formulas to solve contextual problems (e.g., Heron's formula, the area formula for an equilateral triangle and A = ½ ab sin C).

Topic 9 - Area Obj. 73 - Determine the area of a triangle using Heron's formula

Obj. 76 - Approximate the area of a right triangle using trigonometry

TN SPI 3108.4.7 - *Compute the area and/or perimeter of triangles, quadrilaterals and other polygons when one or more additional steps are required (e.g. find missing dimensions given area or perimeter of the figure, using trigonometry).

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 polygonObj. 76 - Approximate the area of a right triangle using trigonometry






Obj. 77 - Approximate the area of a regular polygon using trigonometry

TN SPI 3108.4.8 - *Solve problems involving area, circumference, area of a sector, and/or arclength of a circle.

Topic 8 - Circles Obj. 55 - Solve a problem involving the length of an arc

Topic 9 - Area Obj. 80 - Determine the area of a sector of a circleObj. 82 - Determine the length of the radius or the diameter of a circle given the area of a sectorObj. 83 - WP: Determine a length or an area involving a sector of a circle

Obj. 84 - Determine the measure of an arc or an angle given the area of a sector of a circle

TN SPI 3108.4.9 - *Use right triangle trigonometry and cross-sections to solve problems involving surface areas and/or volumes of solids.

TN SPI 3108.4.10 - *Identify, describe, and/or apply transformations on two and three dimensional geometric shapes.

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. 110 - Determine the angle of rotational symmetry of a figureObj. 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

TN SPI 3108.4.11 - *Use basic theorems about similar and congruent triangles to solve problems.

Topic 6 - Similarity Obj. 35 - Determine the length of a side or the measure of an angle in similar triangles

Obj. 43 - WP: Determine a length using similarity






TN SPI 3108.4.12 - *Solve problems involving congruence, similarity, proportional reasoning and/or scale factor of two similar figures or solids.

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. 33 - Determine the scale factor relating two similar polygonsObj. 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. 36 - Determine a length given the perimeters of similar triangles or the lengths of corresponding interior line segmentsObj. 39 - Determine a length in a triangle using a midsegmentObj. 40 - Determine a length using parallel lines and proportional partsObj. 41 - Determine a length in a triangle given the bisector of an angle and other lengthsObj. 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

Topic 10 - Surface Area and Volume

Obj. 103 - Solve a problem involving the surface areas of similar solid figuresObj. 104 - Solve a problem involving the volumes of similar solid figures

TN SPI 3108.4.13 - *Identify, analyze and/or use basic properties and theorems of circles to solve problems (including those relating right triangles and circles).

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. 55 - Solve a problem involving the length of an arcObj. 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. 57 - Determine a length using a line segment tangent to a circle and the radius that intersects the tangent






Obj. 58 - Determine a length using two intersecting tangents to a circle

Obj. 59 - Determine a length or an arc measure using the properties of congruent chordsObj. 60 - Determine a length using a perpendicular bisector of a chordObj. 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. 65 - Determine a length using intersecting chords, two secants that intersect outside a circle, 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

Topic 9 - Area Obj. 81 - Determine the area of a segment of a circle

TN SPI 3108.4.14 - *Use properties of right triangles to solve problems (such as involving the relationship formed when the altitude to the hypotenuse of a right triangle is drawn).

Topic 3 - Relationships Within Triangles

Obj. 18 - Solve for the length of a side of a triangle using the Pythagorean theorem

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

Topic 7 - Right Triangles and Trigonometry

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






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 relationshipsObj. 47 - WP: Determine a length using the properties of a 45-45-90 degree triangle or a 30-60-90 degree triangleObj. 50 - Determine a length using a sine, cosine, or tangent ratio in a right triangleObj. 51 - Determine the measure of an angle using a sine, cosine, or tangent ratio in a right triangle

TN SPI 3108.4.15 - *Determine and use the appropriate trigonometric ratio for a right triangle to solve a contextual problem.

Topic 7 - Right Triangles and Trigonometry

Obj. 52 - WP: Determine a length in a right triangle using a sine, cosine, or tangent ratio

Obj. 53 - WP: Determine the measure of an angle in a right triangle using a sine, cosine, or tangent ratio

TN SPI 3108.5 - Data Analysis, Statistics, & ProbabilityTN SPI 3108.5.1 - *Use area to solve problems involving geometric probability (e.g. dartboard problem, shaded sector of a circle, shaded region of a geometric figure).

Topic 9 - Area Obj. 86 - Determine a probability using an area model



Agency Tag Set NameTennessee, Math, 2008, Algebra 2, Performance Indicators State, State Department of EducationStandard Topic Description Objective DescriptionTN SPI 3103.1 - Woven throughout the content of Algebra II in terms of Number & Operations, Algebra, Geometry, and Data Analysis, Probability, and Statistics are the following mathematical process skills:

TN SPI 3103.1.1 - *Move flexibly between multiple representations (contextual, physical, written, verbal, iconic/pictorial, graphical, tabular, and symbolic) of nonlinear and transcendental functions to solve problems, to model mathematical ideas, and to communicate solution strategies.TN SPI 3103.1.2 - *Recognize and describe errors in data collection and analysis as well as identifying representations of data as being accurate or misleading.TN SPI 3103.1.3 - *Use technology tools to identify and describe patterns in data using nonlinear and transcendental functions that approximate data as well as using those functions to solve contextual problems.TN SPI 3103.1.4 - *Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely to effectively communicate reasoning in the process of solving problems via mathematical modeling with both linear and non-linear functions.

TN SPI 3103.2 - *Numbers and operations are our main tools for describing the world qualitatively. Previous knowledge of the real number system, various representations, problem solving skills, connections, and the ability to communicate mathematically and exhibit number sense are extended in Algebra II.TN SPI 3103.2.1 - *Describe any number in the complex number system.TN SPI 3103.2.2 - *Compute with all real and complex numbers.

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

Standards List with Aligned Product SkillsProduct NameAccelerated Math Algebra 2



Agency Tag Set NameTennessee, Math, 2008, Algebra 2, Performance Indicators State, State Department of EducationStandard Topic Description Objective Description


Obj. 7 - Order of operationsTopic 6 - Roots, Radicals, and Complex Numbers

Obj. 68 - Square roots

Obj. 70 - Simplify expressions with fractional exponentsObj. 80 - Write imaginary numbers: bi

Obj. 81 - Raise i to powersObj. 83 - Add and subtract complex numbersObj. 84 - Operations on complex numbersObj. 85 - Rationalize denominators with complex numbers

TN SPI 3103.2.3 - *Use the number system, from real to complex, to solve equations and contextual problems.


Obj. 11 - Solve linear equations

Obj. 12 - WP: Solve linear equations

Topic 3 - Relations, Functions, and Graphs

Obj. 37 - WP: Function problems

Topic 5 - Matrices and Determinants

Obj. 67 - WP: Matrices

Topic 6 - Roots, Radicals, and Complex Numbers

Obj. 72 - WP: Roots

Obj. 86 - Solve equations involving complex numbers

Topic 7 - Quadratic Obj. 95 - Solve quadratic equations containing rational exprObj. 99 - WP: Variation problemsObj. 100 - WP: Pythagorean TheoremObj. 101 - WP: Number problems using quadratic equationsObj. 102 - WP: Area and perimeterObj. 103 - WP: Other problems using quadratic equationsObj. 104 - Solve cubic equations

Topic 8 - Polynomials Obj. 128 - WP: PolynomialsTopic 9 - Exponents and Logarithms

Obj. 135 - Solve logarithmic equationsObj. 136 - Solve exponential equationsObj. 137 - Solve equations involving natural logarithmsObj. 138 - WP: Interest problemsObj. 139 - WP: Growth and decay problemsObj. 140 - WP: Earthquake problems





Topic 10 - Rational Expressions and Equations

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

Topic 11 - Conics and Second-Degree Equations

Obj. 173 - WP: Production and profit problems

TN SPI 3103.3 - *Algebra reaches from the foundations of mathematics to the frontiers of current research. It is a powerful representational tool and a vehicle for comprehensive concepts such as functions. By continuing to develop the properties of algebra and functions, Algebra II enhances the problem-solving process started in Algebra I with emphasis on non-linear functions. Contextual situations can be modeled by understanding and applying the algebraic concepts of equations, systems of equations, and inequalities, basic relations and functions, polynomials, conics, and exponential functions.

TN SPI 3103.3.1 - *Add, subtract and multiply polynomials; divide a polynomial by a lower degree polynomial.

Topic 8 - Polynomials Obj. 110 - Add polynomials

Obj. 111 - Subtract polynomialsObj. 112 - Add and subtract polynomialsObj. 115 - Multiply monomials by polynomialsObj. 116 - Multiply binomials by trinomialsObj. 119 - Divide polynomials by monomialsObj. 120 - Divide polynomials

TN SPI 3103.3.2 - *Solve quadratic equations and systems, and determine roots of a higher order polynomial.

Topic 7 - Quadratic Obj. 87 - Solve quad eqns, square root rule (real roots)

Obj. 88 - Solve quad eqns, square root rule (complex roots)Obj. 89 - Factor quadratics, real roots

Obj. 90 - Factor quadratics, roots with radicalsObj. 91 - Quadratic formula, 2 real roots





Obj. 92 - Quadratic formula, complex rootsObj. 95 - Solve quadratic equations containing rational expr


Obj. 175 - Solve systems of linear and 2nd-degree equationsObj. 176 - Solve systems of 2nd-degree equations

TN SPI 3103.3.3 - *Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents.


Obj. 144 - Rational expressions, lowest common denominator

Obj. 145 - Simplify rational expressionsObj. 146 - Simplify rational expressions by factoringObj. 148 - Multiply and simplify rational expressionsObj. 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

Obj. 154 - Simplify complex rational expressions

TN SPI 3103.3.4 - *Use the formulas for the general term and summation of finite arithmetic and both finite and infinite geometric series.

Topic 12 - Sequences and Series Obj. 183 - Find terms of arith seq (formula for nth term)

TN SPI 3103.3.5 - *Describe the domain and range of functions and articulate restrictions imposed either by the operations or by the contextual situations which the functions represent.


Obj. 27 - Domain and range, functions

Obj. 28 - Domain and range, determine from graphs

TN SPI 3103.3.6 - *Combine functions (such as polynomial, rational, radical and absolute value expressions) by addition, subtraction, multiplication, division, or by composition and evaluate at specified values of their variables.


Obj. 32 - Find compositions of 2 functions





TN SPI 3103.3.7 - *Identify whether a function has an inverse, whether two functions are inverses of each other, and/or explain why their graphs are reflections over the line y = x.


Obj. 33 - Find inverses of functions

Obj. 36 - Graph inverses of linear functions

TN SPI 3103.3.8 - *Solve systems of three linear equations in three variables.

Topic 4 - Systems of Equations and Inequalities

Obj. 50 - Solve systems, three equations

TN SPI 3103.3.9 - *Graph the solution set of two or three linear or quadratic inequalities.


Obj. 179 - Graph systems of 2nd-degree inequalities

TN SPI 3103.3.10 - *Identify and/or graph a variety of functions and their translations.


Obj. 78 - Graph square roots

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

Topic 8 - Polynomials Obj. 127 - Graph polynomial functions

Topic 9 - Exponents and Logarithms

Obj. 141 - Graph exponential functionsObj. 142 - Graph logarithmic functions


Obj. 147 - Graph rational functions and equations

TN SPI 3103.3.11 - *Graph conic sections (circles, parabolas, ellipses and hyperbolas) and understand the relationship between the standard form and the key characteristics of the graph.


Obj. 158 - Graph circles

Obj. 163 - Graph ellipsesObj. 166 - Graph hyperbolas (standard equation)Obj. 167 - Graph hyperbolas (general equation)Obj. 168 - Hyperbolas, find vertices, foci, and asymptotesObj. 171 - Graph parabolas (y = x^2)

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

TN SPI 3103.3.12 - *Interpret graphs that depict real-world phenomena.

Topic 7 - Quadratic Obj. 97 - WP: Graph quadratic functions





TN SPI 3103.3.13 - *Solve contextual problems using quadratic, rational, radical and exponential equations, finite geometric series or systems of equations.

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

Topic 5 - Matrices and Determinants

Obj. 67 - WP: Matrices


Obj. 72 - WP: Roots

Topic 7 - Quadratic Obj. 97 - WP: Graph quadratic functionsObj. 100 - WP: Pythagorean TheoremObj. 101 - WP: Number problems using quadratic equationsObj. 103 - WP: Other problems using quadratic equations

Topic 8 - Polynomials Obj. 128 - WP: PolynomialsTopic 9 - Exponents and Logarithms

Obj. 138 - WP: Interest problems

Obj. 139 - WP: Growth and decay problems


Obj. 153 - WP: Rational expressions


Obj. 173 - WP: Production and profit problemsObj. 177 - WP: Systems of equations

Topic 12 - Sequences and Series Obj. 195 - WP: Geometric series

TN SPI 3103.3.14 - *Solve problems involving the binomial theorem and its connection to Pascal's Triangle, combinatorics, and probability.

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

Obj. 202 - Probability of single events

Obj. 203 - Probability using Pascal's triangleObj. 204 - Probability of independent eventsObj. 205 - Conditional probability





Obj. 206 - Probability of dependent eventsObj. 207 - Compare odds and probability

TN SPI 3103.4 - *Geometry uses knowledge of and the relationships between the trigonometric functions to solve real-world problems. Prior knowledge of the coordinate plane and trigonometry will be extended in Algebra Two. Trigonometric functions will be extended to periodic function on the real line. Formulas involving these functions will be derived and used to solve a variety of problems.

TN SPI 3103.4.1 - *Exhibit knowledge of unit circle trigonometry.

TN SPI 3103.4.2 - *Match graphs of basic trigonometric functions with their equations.

Topic 15 - Trigonometry Obj. 227 - Graph sine and cosine functions

Obj. 228 - Graph trigonometric functions

TN SPI 3103.4.3 - *Describe and articulate the characteristics and parameters of parent trigonometric functions to solve contextual problems.TN SPI 3103.5 - *Data analysis and statistics covers the entire process of collecting, organizing, summarizing, and interpreting data. Prior knowledge of data analysis will be extended in Algebra II, and students are expected to be able to use statistical models (linear and non-linear equations) to describe possible associations between measurement variables and be familiar with techniques for fitting models to data.

TN SPI 3103.5.1 - *Compute, compare and explain summary statistics for distributions of data including measures of center and spread.

Topic 14 - Statistics Obj. 210 - Interquartile ranges of data sets

Obj. 211 - Means of data setsObj. 212 - Medians of data setsObj. 213 - Modes of data sets





Obj. 214 - Means, medians, and modes of data setsObj. 215 - Recognize types of central tendencyObj. 216 - Mean and standard deviation

TN SPI 3103.5.2 - *Compare data sets using graphs and summary statistics.TN SPI 3103.5.3 - *Analyze patterns in a scatter-plot and describe relationships in both linear and non-linear data.TN SPI 3103.5.4 - *Apply the characteristics of the normal distribution.

Topic 14 - Statistics Obj. 217 - Calculate z-scores

Obj. 218 - Normal curvesTN SPI 3103.5.5 - *Determine differences between randomized experiments and observational studies.TN SPI 3103.5.6 - *Find the regression curve that best fits both linear and non-linear data (using technology such as a graphing calculator) and use it to make predictions.TN SPI 3103.5.7 - *Determine/recognize when the correlation coefficient measures goodness of fit.TN SPI 3103.5.8 - *Apply probability concepts such as conditional probability and independent events to calculate simple probability.

Topic 13 - Probability Obj. 204 - Probability of independent events

Obj. 205 - Conditional probability



Agency Tag Set NameTennessee, Math, 2004, Precalculus, Performance Indicators State, State Department of Education

Standard Topic Description Objective DescriptionTN 1.0 - Students will model and analyze real-world phenomena using techniques from algebra and data analysis.TN 1.1 - The Student is able to: model real-world phenomena using techniques of data analysis;TN 1.2 - The Student is able to: recognize and apply mathematical models of linear, quadratic, exponential, logarithmic, and trigonometric functions;

Topic 1 - Review of Fundamental Concepts of Algebra

Obj. 2 - Graph lines

Topic 2 - Polynomials Obj. 36 - Graph quadratic functions

Topic 3 - Exponential and Logarithmic Functions

Obj. 55 - Graph exponential functions

Obj. 56 - Graph log functionsTopic 4 - Trigonometric Functions

Obj. 66 - Graph sin & cos using amp, period, & phase shiftObj. 67 - Graph tan & cot functions

Obj. 68 - Graph sec & csc functions

Topic 7 - Conic Sections Obj. 91 - Parabolas, graph given equations

TN 1.3 - The Student is able to: use scatterplot residuals, and/or correlation coefficients to determine whether a model is appropriate;

TN 1.4 - The Student is able to: apply equations and graphs of conic sections to model real-world phenomena.

Topic 7 - Conic Sections Obj. 105 - WP: Conic sections

TN 1.5 - The Student is able to: use models when appropriate to draw conclusions or make predictions.

TN 2.0 - Students will extend the concepts of function from earlier courses to a wider variety of functions and their graphs and real-world applications.TN 2.1 - The Student is able to: sketch the graphs of the basic functions (linear, quadratic, cubic, square root, absolute value, reciprocal, trigonometric, exponential, logarithmic, and greatest integer);


Obj. 2 - Graph lines

Standards List with Aligned Product SkillsProduct NameAccelerated Math Pre-Calculus


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Topic 2 - Polynomials Obj. 36 - Graph quadratic functions



Obj. 56 - Graph log functionsTopic 4 - Trigonometric Functions

Obj. 66 - Graph sin & cos using amp, period, & phase shiftObj. 67 - Graph tan & cot functions


Topic 7 - Conic Sections Obj. 91 - Parabolas, graph given equations

TN 2.2 - The Student is able to: graph transformations and combinations of transformations for all basic functions;


Obj. 22 - Use rigid & nonrigid transformations to graph func

TN 2.3 - The Student is able to: analyze functions, such as by decomposing into simpler functions;


Obj. 118 - Find partial fraction decompositions

TN 2.4 - The Student is able to: determine if a function is even, odd, or neither;TN 2.5 - The Student is able to: use an appropriate technology to solve inequalities;TN 2.6 - The Student is able to: demonstrate an understanding of the concept of the limit of a function;

Topic 12 - Introduction to Calculus

Obj. 163 - Limits, use graphs

Obj. 164 - Limits, polynomial functionsObj. 165 - Limits, rational functions

Obj. 166 - Limits, rational functions (x incr or decr)

TN 2.7 - The Student is able to: apply the limit of a function to find the slope of a line tangent to a curve;


Obj. 173 - Find eqns of tangents to graphs of functions

TN 2.8 - The Student is able to: write equations of tangents and normals to conic sections;


Obj. 173 - Find eqns of tangents to graphs of functions

TN 2.9 - The Student is able to: apply limits to develop the concept of continuity and identify intervals of increase and decrease;


Obj. 168 - Find one-sided limits

Obj. 169 - Find intervals where functions are continuous


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TN 2.10 - The Student is able to: locate critical points on the graphs of polynomial functions and determine if each critical point is a minimum, a maximum, or a point of inflection;


Obj. 120 - Max & min functions w/ constraints

TN 2.11 - The Student is able to: determine an equation of a rational function from a written description.TN 2.12 - The Student is able to: define and use the logarithmic function as the inverse of the exponential function;


Obj. 51 - Exponential equations to log form

Obj. 52 - Log equations to exponential formObj. 53 - Find logs by converting to exponential form

TN 2.13 - The Student is able to: sketch the graphs of exponential and logarithmic functions;



Obj. 56 - Graph log functionsTN 2.14 - The Student is able to: solve exponential and logarithmic equations modeling real-world problems (e.g. growth and decay).


Obj. 57 - WP: Exponential functions

Obj. 60 - WP: Compound interestObj. 61 - WP: Radioactive decay

TN 3.0 - Trigonometric FunctionsTN 3.1 - The Student is able to: define six circular functions;TN 3.2 - The Student is able to: sketch graphs of the six trigonometric functions involving period change, amplitude change, phase shift, and/or vertical shift;

Topic 4 - Trigonometric Functions

Obj. 66 - Graph sin & cos using amp, period, & phase shift

Obj. 67 - Graph tan & cot functions


TN 3.3 - The Student is able to: use trigonometric functions to model periodic phenomena;TN 3.4 - The Student is able to: use graphs to develop and verify trigonometric identities;TN 3.5 - The Student is able to: find values of inverse trigonometric functions, applying appropriate domain and range restrictions;

Topic 5 - Applications in Trigonometry

Obj. 78 - Find values of inverse trig functions


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TN 3.6 - The Student is able to: solve trigonometric equations and inequalities either algebraically or using graphing technology.


Obj. 79 - Solve trig equations

TN 3.7 - The Student is able to: derive the Law of Sines and the Law of Cosines and apply them to solve problems involving triangles and vectors;


Obj. 74 - Law of Sines

Obj. 75 - Law of Sines (ambiguous case)Obj. 76 - Law of CosinesObj. 77 - Find areas of non-right triangles

TN 3.8 - The Student is able to: derive and apply the formulas for the area of a triangle and the sector of a circle;


Obj. 77 - Find areas of non-right triangles

TN 3.9 - The Student is able to: understand the relationship between measurements in radians and degrees;

Topic 4 - Trigonometric Functions

Obj. 62 - Degrees to radians

Obj. 63 - Radians to degreesTN 3.10 - The Student is able to: apply radian measures in problems related to linear and angular velocity;

TN 3.11 - The Student is able to: understand and apply vectors to solve real world problems;

Topic 11 - Vectors Obj. 160 - Area of parallelograms from adj side vectors

Obj. 162 - WP: Navigational problems w/ vectors

TN 3.12 - The Student is able to: represent complex numbers in both rectangular and polar form;

Topic 6 - Polar Coordinates Obj. 86 - Complex #s, a + bi to polar form

Obj. 87 - Complex #s, polar to a + bi form

TN 3.13 - The Student is able to: apply the trigonometric form of complex number in calculations;

Topic 6 - Polar Coordinates Obj. 88 - Multiply & divide complex #s in polar form

Obj. 89 - DeMoivre's Theorem, find rootsObj. 90 - Find powers of complex #s

TN 3.14 - The Student is able to: prove and apply DeMoivre's Theorem to find roots and powers of complex numbers.

Topic 6 - Polar Coordinates Obj. 89 - DeMoivre's Theorem, find roots

TN 4.0 - Students will develop the concept of limit by examining infinite sequences and series.


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TN 4.1 - The Student is able to: demonstrate an understanding of sequences by representing them recursively and explicitly;

Topic 9 - Sequences and Series Obj. 122 - Common differences of arithmetic sequences

TN 4.2 - The Student is able to: use sigma notation to represent a series;

Topic 9 - Sequences and Series Obj. 128 - Write arith series in sigma notation

TN 4.3 - The Student is able to: determine whether a given series converges or diverges;TN 4.4 - The Student is able to: find the sum of an infinite series that converge;

Topic 9 - Sequences and Series Obj. 134 - Find sums of infinite geometric series

TN 4.5 - The Student is able to: find the sum of an infinite geometric series;

Topic 9 - Sequences and Series Obj. 134 - Find sums of infinite geometric series

TN 4.6 - The Student is able to: use the Binomial Theorem to expand binomials.

Topic 10 - Probability Obj. 142 - Find given terms of binomial expansions


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Agency Tag Set NameTennessee, Math, 2004, Statistics, Performance Indicators State, State Department of EducationStandard Topic Description Objective DescriptionTN 1.0 - Students will design and conduct statistical experiments.TN 1.1 - The Student is able to: formulate questions that can be addressed with data;TN 1.2 - The Student is able to: describe the role of randomization in surveys and experiments;TN 1.3 - The Student is able to: select and use a method such as a survey or an experiment to collect data;

Topic 7 - Data collection Obj. 62 - Sampling techniques

TN 1.4 - The Student is able to: demonstrate understanding of bias in sampling;

Topic 7 - Data collection Obj. 63 - Identify bias

TN 1.5 - The Student is able to: demonstrate an understanding of the Law of Large Numbers;

Topic 7 - Data collection Obj. 64 - Experimental probability - predict using sample results

TN 1.6 - The Student is able to: demonstrate an understanding of the probability of independent events and conditional probability;

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

TN 1.7 - The Student is able to: using appropriate probability models, design a method for simulating data from a particular situation, and use the generated data to analyze the situation;TN 1.8 - The Student is able to: design and conduct a statistical experiment to study a problem, and interpret and communicate the outcomes;TN 1.9 - The Student is able to: test hypotheses using appropriate statistics.

Topic 10 - Hypothesis testing Obj. 83 - Single-sample test

Obj. 84 - Two-sample testObj. 85 - Small-sample testObj. 86 - Calculate p-valuesObj. 88 - Large-sample hypothesis testingObj. 89 - Two-sample hypothesis testingObj. 90 - Small-sample hypothesis testing

TN 2.0 - The student will select and use appropriate statistical methods to analyze data and to develop and evaluate inferences and predictions based on the data.

Standards List with Aligned Product SkillsProduct NameAM Probability & Statistics


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Agency Tag Set NameTennessee, Math, 2004, Statistics, Performance Indicators State, State Department of EducationStandard Topic Description Objective Description

Standards List with Aligned Product SkillsProduct NameAM Probability & Statistics

TN 2.1 - The Student is able to: construct and interpret charts, tables, and graphs that display univariate and bivariate data;

Topic 8 - Bivariate data Obj. 71 - Calculate correlation coefficient

TN 2.2 - The Student is able to: calculate and apply measures of central tendency and dispersion in order to make inferences about a data set;

Topic 4 - Descriptive statistics Obj. 27 - Mean

Obj. 28 - MedianObj. 29 - ModeObj. 31 - RangeObj. 36 - Trimmed meanObj. 37 - VarianceObj. 38 - Standard deviation

TN 2.3 - The Student is able to: analyze the effects of data transformations on measures of central tendency and variability;

Topic 12 - Analysis of variance (ANOVA)

Obj. 101 - Sum of squares

TN 2.4 - The Student is able to: calculate and apply the correlation between data sets.

Topic 8 - Bivariate data Obj. 71 - Calculate correlation coefficient

TN 2.5 - The Student is able to: apply the properties of a normal distribution or a Chi-square distribution in appropriate situations in order to make inferences about a data set;

Topic 6 - Continuous probability distributions

Obj. 57 - Normal distribution

Topic 10 - Hypothesis testing Obj. 91 - Chi-square testTN 2.6 - The Student is able to: demonstrate an understanding of the Central Limit Theorem;TN 2.7 - The Student is able to: use curve-fitting with appropriate technology to make regression equations in order to represent a data set algebraically and to make inferences;

Topic 11 - Linear regression Obj. 95 - Calculate the slope of regression line

Obj. 97 - Calculate regression line equationObj. 99 - Forecasting

TN 2.8 - The Student is able to: demonstrate an understanding of confidence intervals.

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

Obj. 81 - Confidence intervals for difference of means


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Agency Tag Set NameTennessee, Math, 2004, Calculus, Performance Indicators State, State Department of EducationStandard Topic Description Objective DescriptionTN 1.0 - Students will expand the concept of functions to include the analysis and interpretation of both continuous and discontinuous functions in problem situations and the development of the concept of limit.TN 1.1 - The Student is able to: analyze the graphs of polynomial, rational, radical, and transcendental functions using appropriate technology;

Topic 1 - Prerequisites Obj. 19 - Classify functions as even, odd, or neither

Obj. 24 - Graph trig functionsTopic 6 - Transcendental Functions

Obj. 101 - Graph exponential functionsObj. 108 - Graph exponential functions w/ various basesObj. 118 - Graph inverse trig functions

TN 1.2 - The Student is able to: predict and explain the observed local and global behavior of a function;

Topic 4 - Applications of Differentiation

Obj. 46 - Find extrema of continuous functions

Obj. 49 - Find intervals of increase & decreaseObj. 50 - Find relative extrema of functionsObj. 51 - Find intervals of concavity for functions graphsObj. 52 - Find horizontal asymptotes

Obj. 53 - Graph intercepts, extrema, inflect, & asymptote

TN 1.3 - The Student is able to: calculate limits using algebra;

Topic 2 - Limits and Continuity Obj. 26 - Limits, polynomial functions

Obj. 27 - Limits, rational functionsObj. 28 - Limits, rational functions (x incr or decr)

Topic 5 - Integration Obj. 70 - Find limits of sequences as n goes to infinity

TN 1.4 - The Student is able to: estimate limits from graphs or tables of data.

Topic 2 - Limits and Continuity Obj. 25 - Limits, use graphs

TN 1.5 - The Student is able to: demonstrate an understanding of asymptotes in terms of graphical behavior;



TN 1.6 - The Student is able to: describe asymptotic behavior in terms of infinite limits and limits at infinity;

Standards List with Aligned Product SkillsProduct NameAccelerated Math Calculus


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Agency Tag Set NameTennessee, Math, 2004, Calculus, Performance Indicators State, State Department of EducationStandard Topic Description Objective Description


TN 1.7 - The Student is able to: compare relative magnitudes of functions and their rates of change.TN 1.8 - The Student is able to: demonstrate an understanding continuity in terms of limits;

Topic 2 - Limits and Continuity Obj. 36 - Solve problems using definition of continuity

TN 1.9 - The Student is able to: demonstrate a geometric understanding of graphs of continuous functions.TN 2.0 - Students will extend the concept of slope of a line to develop the concept of derivative.TN 2.1 - The Student is able to: represent the concept of the derivative geometrically, numerically, and analytically;TN 2.2 - The Student is able to: interpret the derivative as an instantaneous rate of change;TN 2.3 - The Student is able to: define the derivative as the limit of the difference quotient;TN 2.4 - The Student is able to: articulate the relationship between differentiability and continuity.TN 2.5 - The Student is able to: articulate corresponding characteristics of graphs of f and f´;


Obj. 49 - Find intervals of increase & decrease

Obj. 50 - Find relative extrema of functions

TN 2.6 - The Student is able to: communicate the relationship between the increasing and decreasing behavior f and the sign of f´;TN 2.7 - The Student is able to: demonstrate an understanding of the Mean Value Theorem and its geometric consequence;


Obj. 47 - Rolle's Theorem

Obj. 48 - Mean Value TheoremTN 2.8 - The Student is able to: translate verbal descriptions into equations involving derivatives and vice versa.


Obj. 61 - Applied problems: Differentials

TN 2.9 - The Student is able to: articulate corresponding characteristics of the graphs of f , f', and f'';


Obj. 51 - Find intervals of concavity for functions graphs



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TN 2.10 - The Student is able to: communicate the relationship between the concavity of f and the sign of f'';TN 2.11 - The Student is able to: identify points of inflection;



Topic 6 - Transcendental Functions

Obj. 103 - Find extrema & inflect points of exponential func

TN 2.12 - The Student is able to: analyze curves using the notions of monotonicity and concavity;


Obj. 51 - Find intervals of concavity for functions graphs

TN 2.13 - The Student is able to: optimization, both absolute (global) and relative (local) extrema;


Obj. 46 - Find extrema of continuous functions

Obj. 50 - Find relative extrema of functionsObj. 55 - Applied problems: Max & min

TN 2.14 - The Student is able to: model rates of change, including related rates problems;

Topic 3 - Differentiation Obj. 45 - Solve related rates problems

TN 2.15 - The Student is able to: use implicit differentiation to find the derivative of an inverse function;TN 2.16 - The Student is able to: interpret the derivative as a rate of change in varied applied contexts;TN 2.17 - The Student is able to: apply basic rules for the derivative of basic functions and their sum, product, and quotient;

Topic 3 - Differentiation Obj. 37 - Differentiate using the Power Rule

Obj. 38 - Differentiate using the Product RuleObj. 39 - Differentiate using the Quotient Rule

TN 2.18 - The Student is able to: use the chain rule and implicit differentiation.

Topic 3 - Differentiation Obj. 42 - Differentiate using the Chain Rule

Obj. 44 - Differentiate using implicit differentiation

TN 3.0 - Students will develop the concepts of integrals and their applications.TN 3.1 - The Student is able to: communicate the relationship between a Riemann sum and a definite integral;TN 3.2 - The Student is able to: apply basic properties of definite integrals;

Topic 5 - Integration Obj. 74 - Use properties of definite integrals


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TN 3.3 - The Student is able to: evaluate definite integrals using the Fundamental Theorem;

Topic 5 - Integration Obj. 76 - Fundamental Theorem, evaluate integrals

Obj. 78 - 2nd Fundamental Theorem, evaluate integrals

TN 3.4 - The Student is able to: apply techniques of antidifferentiation;

Topic 5 - Integration Obj. 79 - Substitution, evaluate indefinite integrals

Obj. 80 - Substitution, evaluate definite integrals

TN 3.5 - The Student is able to: find specific antiderivatives using initial conditions, including applications to motion along a line;

Topic 7 - Applications of Integration

Obj. 132 - Applied problems: Work of a constant force

TN 3.6 - The Student is able to: use separable differential equations in modeling;TN 3.7 - The Student is able to: use Riemann sums and the Trapezoidal Rule to approximate definite integrals of functions represented algebraically, geometrically, and by tables of values.

Topic 5 - Integration Obj. 81 - Trapezoidal Rule, approx definite integrals

Obj. 82 - Trapezoidal Rule, find max error


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Documents

Tennessee Standards Alignment Grades Three through Twelvedoc.renlearn.com/KMNet/R004060023GGDD5F.pdf · 2010-03-15 · contains the alignment between the software and/or instructional