Wyoming State Standards Alignment Grades One through Elevendoc.renlearn.com/KMNet/R004263021GHF6E6.pdf · operations in a problem-solving situation. WY MA2.2 - Students apply geometric

Wyoming State Standards Alignment Grades One through Eleven

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Wyoming State Standards Alignment

Standards List with Aligned Product Skills

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

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

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

Grade 2 ..................................................... 4

Grade 3 ..................................................... 7

Grade 4 ....................................................10

Grade 5 ....................................................15

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

Grade 7 ....................................................25

Grade 8 ....................................................29

Grades 9 - 11 ....................................................35

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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

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Agency Tag Set NameWyoming, Math, 2008, Grade 1, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA1.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.WY MA1.1.1 - Students use the concept of place value to read and represent numbers up to 99.

Topic 1 - Numbers and Operations

Obj. 1 - Read a whole number to 30

Obj. 2 - Read a whole number from 31 to 100Obj. 3 - Determine the word form of a whole number to 30Obj. 4 - Determine the word form of a whole number from 31 to 100Obj. 19 - Count objects grouped in tens and onesObj. 20 - Model a number to 100 using tens and onesObj. 21 - Recognize a number from a model of tens and ones to 100

Obj. 22 - Represent a 2-digit number as tens and onesObj. 23 - Determine the 2-digit number represented as tens and ones

WY MA1.1.2 - Students use sets of objects to compare values and order numerals.


Obj. 26 - Compare sets of objects using words

WY MA1.1.3 - Students use coins (penny, nickel, dime, and quarter) to compare values (more/less).WY MA1.1.4 - Students demonstrate computational fluency with basic facts (add to 10).


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

WY MA1.1.5 - Students make a picture or use objects as strategies to solve problems.


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

Obj. 32 - Relate a picture model to a basic addition factObj. 33 - Determine the basic addition fact shown by a picture modelObj. 34 - Relate a number-line model to a basic addition factObj. 35 - Determine the basic addition fact shown by a number-line modelObj. 40 - Apply the relationship between addition and counting on

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

Accelerated Math Grade 1

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Agency Tag Set NameWyoming, Math, 2008, Grade 1, Content Standards, State Department of EducationStandard Topic Description Objective Description


WY MA1.1.6 - Students communicate their choice of appropriate grade level procedures and results when performing operations in a problem-solving situation.WY MA1.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.WY MA1.2.1 - Students recognize, name, compare, and sort 2- and 3-dimensional geometric objects.

Topic 3 - Geometry and Measurement

Obj. 81 - Identify a circle, a triangle, a square, or a rectangle

Obj. 83 - Determine the group in which a geometric shape belongs

WY MA1.2.2 - Students select, use, and communicate organizational methods in a problem-solving situation using 2- and 3- dimensional geometric objects.

WY MA1.3 - Students use a variety of tools and techniques of measurement in a problem-solving situation.

WY MA1.3.1 - Students apply estimation and measurement of length to content problems using non-standard units up to 99 units.


Obj. 74 - Estimate length in nonstandard units

WY MA1.3.2 - Students apply estimation and measurement of capacity to content problems using non-standard units.WY MA1.3.3 - Students tell time, using both analog and digital clocks to the nearest half-hour.


Obj. 76 - Tell time to the hour

Obj. 77 - Tell time to the half hourWY MA1.4 - Students use algebraic methods to investigate, model, and interpret patterns and functions involving numbers, shapes, data, and graphs in a problem-solving situation.

WY MA1.4.1 - Students recognize, create, and describe four-element patterns by using manipulatives and graphic representations.

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

WY MA1.4.2 - Students apply knowledge of repeating patterns when solving problems.


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WY MA1.5 - Students use data analysis and probability to analyze given situations and the results of experiments.WY MA1.5.1 - Students collect and classify information to create graphs with pictures and report data in problem-solving situations.

Topic 4 - Data Analysis and Statistics

Obj. 92 - Use a picture graph to represent groups of objects (1 symbol = 1 object)

Obj. 95 - Use a pictograph to represent groups of objects (1 symbol = 1 object)

WY MA1.5.2 - Students communicate conclusions about a set of data using graphs with pictures.


Obj. 91 - Read a picture graph

Obj. 93 - Answer a question using information from a picture graphObj. 94 - Read a pictograph (1 symbol = 1 object)Obj. 96 - Answer a question using information from a pictograph (1 symbol = 1 object)

WY MA1.5.3 - Students perform and record (with tally marks) simple probability experiments.


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Agency Tag Set NameWyoming, Math, 2008, Grade 2, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA2.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.WY MA2.1.1 - Students use the concept of place value to read and write designated numbers up to 999.

Topic 1 - Number Sense and Operations

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

Obj. 2 - Determine the word form of a whole number to 1,000Obj. 9 - Determine the value of a digit in a 3-digit numberObj. 10 - Determine which digit is in a specified place in a 3-digit whole numberObj. 12 - Model a number using hundreds, tens, and ones to 1,000Obj. 13 - Recognize a number from a model of hundreds, tens, and ones to 1,000Obj. 14 - Represent a 3-digit number as hundreds, tens, and ones

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

WY MA2.1.2 - Students compare and order whole numbers up to 999.


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

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

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

WY MA2.1.3 - Students use coins to compare the values and make combinations up to one dollar.WY MA2.1.4 - Students demonstrate computational fluency with basic facts (add to 20, subtract from 10).

WY MA2.1.5 - Students use mental math (fact families) and estimation strategies (referent to a group of 10) to solve problems.WY MA2.1.6 - Students look for patterns and use guess and check as strategies to solve problems.



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WY MA2.1.7 - Students communicate their choice of appropriate grade level procedures and results when performing operations in a problem-solving situation.WY MA2.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.WY MA2.2.1 - Students name, classify, and describe 2- and 3-dimensional geometric objects.


Obj. 85 - Identify a parallelogram, a trapezoid, a pentagon, a hexagon, or an octagonObj. 87 - Name a 3-dimensional geometric shape

WY MA2.2.2 - Students identify lines of symmetry in various geometric objects.


Obj. 88 - Identify symmetry in a 2-dimensional shape

WY MA2.2.3 - Students select, use, and communicate organizational methods in problem- solving situations with 2- and 3- dimensional objects.WY MA2.3 - Students use a variety of tools and techniques of measurement in a problem-solving situation.

WY MA2.3.1 - Students apply estimation and measurement of length to content problems using standard units to the nearest inch.


Obj. 76 - Measure length in inches

WY MA2.3.2 - Students apply estimation and measurement of weight to content problems using non-standards units.WY MA2.3.3 - Students tell time, using both analog and digital clocks to the nearest five minutes.


Obj. 78 - Tell time to the quarter hour

Obj. 79 - Tell time to 5-minute intervals

WY MA2.4 - Students use algebraic methods to investigate, model, and interpret patterns and functions involving numbers, shapes, data, and graphs in a problem-solving situation.

WY MA2.4.1 - Students recognize, describe, create, and extend patterns by using manipulatives and graphic representations.

Topic 2 - Algebraic Thinking Obj. 75 - Determine a repeating pattern corresponding to the same pattern expressed using different elements


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WY MA2.4.2 - Students apply knowledge of appropriate grade-level patterns when solving problems.

WY MA2.5 - Students use data analysis and probability to analyze given situations and the results of experiments.WY MA2.5.1 - Students collect, organize, and report data using graphs and Venn diagrams.


Obj. 94 - Use a pictograph to represent data (1 symbol = more than 1 object)

WY MA2.5.2 - Students communicate conclusions about a set of data using graphs and Venn diagrams.


Obj. 93 - Read a pictograph (1 symbol = more than 1 object)

Obj. 95 - Answer a question using information from a pictograph (1 symbol = more than 1 object)Obj. 96 - Read a bar graph with a y-axis scale by 2sObj. 98 - Answer a question using information from a bar graph with a y-axis scale by 2s

WY MA2.5.3 - Students perform and record results of simple probability experiments using equally and unequally divided spinners.


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Agency Tag Set NameWyoming, Math, 2008, Grade 3, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA3.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.WY MA3.1.1 - Students use the concept of place value to read and write designated numbers up to 9,999.


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

Obj. 2 - Determine the word form of a 4- or 5-digit whole numberObj. 3 - Determine the value of a digit in a 4- or 5-digit whole numberObj. 4 - Determine which digit is in a specified place in a 4- or 5-digit whole numberObj. 5 - Represent a 4-digit whole number as thousands, hundreds, tens, and onesObj. 6 - Determine the 4-digit whole number represented in thousands, hundreds, tens, and ones

WY MA3.1.2 - Students compare and order whole numbers up to 9,999.


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

WY MA3.1.3 - Students use coins and bills to compare the values and make combinations up to five dollars.

WY MA3.1.4 - Students demonstrate computational fluency with basic facts (add to 20 and subtract from 20).

WY MA3.1.5 - Students add and subtract two- and three-digit numbers with and without regrouping.


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

Obj. 14 - Add three 2- to 3-digit whole numbersObj. 15 - Subtract 3- and 4-digit whole numbers with regrouping

WY MA3.1.6 - Students make an organized list and break problems into parts as strategies to solve problems.WY MA3.1.7 - Students use estimation strategies (rounding to the nearest 10 or 100, or front-end loading) to solve problems.


Obj. 28 - Estimate a sum or difference of whole numbers to 10,000 by rounding



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Obj. 29 - Estimate a sum or difference of two 3- or 4-digit whole numbers using front-end estimationObj. 30 - Estimate a sum or difference of 2- to 4-digit whole numbers using any methodObj. 31 - Estimate a sum of three 2- to 4-digit numbers using any method

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

WY MA3.1.8 - Students communicate their choice of procedures and results when performing number operations in a problem-solving situation.WY MA3.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.WY MA3.2.1 - Students recognize, name, compare, and sort 2- and 3-dimensional geometric objects.


Obj. 97 - Identify a picture of a 3-dimensional shape

Obj. 98 - Name a 3-dimensional shape from a picture

WY MA3.2.2 - Students describe and compare various geometric objects using congruency and lines of symmetry.


Obj. 100 - Identify congruent shapes

WY MA3.2.3 - Students select, use, and communicate organizational methods in a problem-solving situation using 2- and 3- dimensional geometric objects.


WY MA3.3.1 - Students apply estimation and measurement of length to content problems using actual measuring devices and express the results in U.S. customary units (inches, feet, and yards).


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WY MA3.3.2 - Students apply estimation and measurement of capacity in problem-solving situations using actual measuring devices and express the results in U.S. customary units (cups, quarts, and gallons).

WY MA3.3.3 - Students demonstrate relationships within the U.S. customary units in problem-solving situations.


Obj. 68 - Convert between inches, feet, and yards

WY MA3.3.4 - Students determine perimeter of rectangles and squares using models in problem solving situations.WY MA3.3.5 - Students tell time, using both analog and digital clocks, to the nearest minute using A.M. and P.M.


Obj. 74 - Tell time to the minute


WY MA3.4.1 - Students recognize, describe, create, and extend patterns by using manipulatives, numbers, and graphic representations.

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

WY MA3.4.2 - Students apply knowledge of appropriate grade level patterns when solving problems.

Topic 2 - Algebraic Thinking Obj. 66 - WP: Find the missing number in a table of paired values

WY MA3.5 - Students use data analysis and probability to analyze given situations and the results of experiments.WY MA3.5.1 - Students collect, organize, and compare data using graphs and Venn diagrams.WY MA3.5.2 - Students communicate conclusions about a set of data by interpreting information using graphs and Venn diagrams.

Topic 4 - Data Analysis, Statistics, and Probability

Obj. 106 - Answer a question using information from a bar graph with a scale interval of 5 or 10

WY MA3.5.3 - Students predict, perform, and record likely results of simple probability experiments.


Obj. 114 - Determine which event is least likely or most likely to occur


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Agency Tag Set NameWyoming, Math, 2008, Grade 4, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA4.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.WY MA4.1.1 - Students use the concept of place value to read and write whole numbers up to 999,999 in words, standard, and expanded form.


Obj. 1 - Read a 6-digit whole number

Obj. 2 - Determine the word form of a 6-digit whole numberObj. 3 - Determine the value of a digit in a 6-digit whole numberObj. 4 - Determine which digit is in a specified place in a 6-digit whole numberObj. 5 - Determine the whole number represented in expanded form written in powers of tenObj. 6 - Represent a 6-digit whole number in expanded form using powers of tenObj. 7 - Convert between proper expanded form and improper expanded form up to a 5-digit whole numberObj. 8 - Convert between standard form and improper expanded form up to a 5-digit whole number

WY MA4.1.2 - Students compare and order whole numbers.WY MA4.1.3 - Students use coins and bills to compare the values, make combinations up to $10.00, and make change from amounts up to $5.00.WY MA4.1.4 - Students demonstrate computational fluency with basic facts (add to 20, subtract from 20, multiply by 0-10).WY MA4.1.5 - Students add and subtract to thousands and multiply hundreds by a single digit.


Obj. 11 - Add three multi-digit whole numbers

Obj. 15 - WP: Add three multi-digit whole numbersObj. 19 - WP: Solve a 2-step problem involving addition and/or subtraction of multi-digit whole numbers

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



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Obj. 27 - WP: Multiply a multi-digit whole number by a 1-digit whole number

WY MA4.1.6 - Students explain their choice of problem-solving strategies and justify their results when performing whole number operations in problem-solving situations.

WY MA4.1.7 - Students recognize commonly used fractions (halves, thirds, fourths) as parts of a whole using an area model.WY MA4.1.8 - Students use estimation strategies to solve problems.WY MA4.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.WY MA4.2.1 - Students classify and describe 2- and 3- dimensional geometric objects by their attributes (sides, edges, vertices, and faces).


Obj. 125 - Classify a triangle by its sides

Obj. 126 - Classify a quadrilateralObj. 127 - Relate a polygon to attributes or characteristics

WY MA4.2.2 - Students understand the images resulting from reflections (flips).


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

WY MA4.2.3 - Students select, use, and communicate organizational methods in problem-solving situations appropriate to grade level.

WY MA4.2.4 - Students know characteristics of lines (parallel, perpendicular, and intersecting).WY MA4.3 - Students use a variety of tools and techniques of measurement in a problem-solving situation.

WY MA4.3.1 - Students select and apply appropriate U.S. customary units (half inch, quarter inch, feet, and yards) to the estimation and measurement of length in real-world problems using actual measuring devices.


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WY MA4.3.2 - Students select and apply appropriate U.S. customary units (ounces and pounds) to the estimation and measurement of weight in real-world problems using actual measuring devices.WY MA4.3.3 - Students select and apply appropriate U.S. customary units (teaspoons, tablespoons, cups, pints, quarts, and gallons) to the estimation and measurement of capacity in real-world problems using actual measuring devices.WY MA4.3.4 - Students demonstrate relationships within the U.S. customary system, given an equivalence chart, in problem-solving situations.


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

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

WY MA4.3.5 - Students determine area and perimeter of rectangles and squares using models in problem-solving situations.


Obj. 110 - Determine the perimeter of a rectangle given a picture showing length and width

Obj. 111 - WP: Determine the perimeter of a rectangle given a picture showing length and widthObj. 115 - Determine the area of a rectangle given a picture showing the length and widthObj. 117 - WP: Determine the area of a rectangle

WY MA4.3.6 - Students use time, in problem-solving situations to:WY MA4.3.6.a - Students use time, in problem-solving situations to: compare relationships among seconds, minutes, and hours;WY MA4.3.6.b - Students use time, in problem-solving situations to: use elapsed time to the nearest minute.


Obj. 101 - Calculate elapsed time exceeding an hour without regrouping

Obj. 102 - Calculate elapsed time exceeding an hour with regroupingObj. 103 - WP: Calculate elapsed time exceeding an hour without regrouping hoursObj. 104 - WP: Calculate elapsed time exceeding an hour with regrouping hours


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Obj. 105 - WP: Determine the end time given the start time and the elapsed time exceeding an hourObj. 106 - WP: Determine the start time given the end time and the elapsed time exceeding an hour


WY MA4.4.1 - Students recognize, describe, extend, create, and generalize patterns by using manipulatives, numbers, and graphic representations.

Topic 2 - Algebra Obj. 86 - Identify a missing term in a multiplication or a division number pattern

Obj. 87 - Extend a growing pictorial or nonnumeric patternObj. 88 - Identify a missing figure in a growing pictorial or nonnumeric patternObj. 89 - Identify a missing figure in a repeating pictorial or nonnumeric patternObj. 90 - Generate a table of paired numbers based on a ruleObj. 92 - Extend a number pattern in a table of related pairs

WY MA4.4.2 - Students apply knowledge of appropriate grade level patterns when solving problems.

WY MA4.4.3 - Students explain a rule given a pattern or sequence.

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

WY MA4.5 - Students use data analysis and probability to analyze given situations and the results of experiments.WY MA4.5.1 - Students collect, organize, and compare data in graphs, Venn diagrams, tables, and charts.WY MA4.5.2 - Students communicate conclusions about a set of data by interpreting information using graphs, Venn diagrams, tables, and charts.


Obj. 139 - Read a double-bar graph

Obj. 141 - Answer a question using information from a double-bar graph


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Obj. 142 - Answer a question using information from a table

WY MA4.5.3 - Students predict, perform, and record results of probability experiments.WY MA4.5.4 - Students predict all possible outcomes of a given situation or event.


Obj. 143 - List possible outcomes of a simple event


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Agency Tag Set NameWyoming, Math, 2008, Grade 5, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA5.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.WY MA5.1.1 - Students use the concept of place value to read and write whole numbers (in words, standard, and expanded form) and decimals (10ths and 100ths).WY MA5.1.2 - Students demonstrate computational fluency with basic facts for all four operations, including identifying multiples and factors of designated numbers up to 100.


Obj. 2 - Determine a complete list of whole number factor pairs for a number to 50

Obj. 3 - Determine all the factors of a whole number to 50Obj. 7 - Determine the multiple(s) of a number

WY MA5.1.3 - Students demonstrate an understanding of whole number operations by:WY MA5.1.3.a - Students demonstrate an understanding of whole number operations by: explaining the relationships between the operations of addition, subtraction, multiplication, and division; andWY MA5.1.3.b - Students demonstrate an understanding of whole number operations by: multiplying by two-digit whole numbers and dividing by single-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 quotient

Obj. 15 - Divide a multi-digit whole number by a 1-digit number, with a remainder and at least one zero in the quotientObj. 17 - Divide a multi-digit whole number by a 1-digit number and express the quotient as a decimal

WY MA5.1.4 - Students explain their choice of estimation or problem-solving strategies and justify results when performing number operations in problem-solving situations.

WY MA5.1.5 - Students add and subtract decimals to hundredths and solve problems in the context of money.



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WY MA5.1.6 - Students demonstrate an understanding of fractions as parts of wholes.WY MA5.1.7 - Students order, compare, add, and subtract fractions with like denominators.


Obj. 35 - Add fractions with like denominators greater than 10 and simplify the sumObj. 40 - Subtract fractions with like denominators greater than 10 and simplify the differenceObj. 45 - WP: Add or subtract fractions with like denominators and simplify the sum or difference

WY MA5.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.WY MA5.2.1 - Students describe, draw, and classify two-dimensional geometric figures such as triangles, quadrilaterals, and circles.


Obj. 141 - Classify a triangle by its sides and angles

WY MA5.2.2 - Students describe, identify, and classify three-dimensional geometric figures such as cylinders, cones, pyramids, rectangular prisms, and spheres.


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

WY MA5.2.3 - Students describe and compare various geometric objects using congruency and lines of symmetry appropriate to grade level.


Obj. 145 - Identify a figure that has reflectional or rotational symmetry

WY MA5.2.4 - Students select, use, and communicate organizational methods in problem-solving situations appropriate to grade level.


WY MA5.3.1 - Students apply estimation and measurement of length to content problems using actual measuring devices and express the results in U.S. customary units (parts of inch-halves/fourths, eights inches, feet, yards, and miles).


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WY MA5.3.2 - Students apply estimation and measurement of weight to content problems using actual measuring devices and express the results in U.S. customary units (ounces and pounds).

WY MA5.3.3 - Students apply estimation and measurement of capacity in real-world problem-solving situations using actual measuring devices and express the results in U.S. customary units (teaspoons, tablespoons, cups, pints, quarts, and gallons).WY MA5.3.4 - Students demonstrate relationships within the U.S. customary units, given an equivalence chart, in problem-solving situations appropriate to grade level.


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

Obj. 114 - Convert between customary units of capacity using fractional amountsObj. 115 - Convert between customary units of weight using fractional amountsObj. 119 - WP: Compare customary units of length, weight, or capacity using fractional amounts

WY MA5.3.5 - Students determine area and perimeter of triangles, rectangles, and squares using models in problem-solving situations using appropriate units.


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

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

WY MA5.3.6 - Students use time, in problem-solving situations to:WY MA5.3.6.a - compare relationships among seconds, minutes, hours, and days, andWY MA5.3.6.b - use elapsed time to the nearest minute.


Obj. 121 - Calculate elapsed time using a.m. and p.m.Obj. 122 - WP: Calculate elapsed time using a.m. and p.m.


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WY MA5.4.1 - Students recognize, describe, extend, create, and generalize patterns by using manipulatives, numbers, and graphic representations, including charts and graphs.

Topic 2 - Algebra Obj. 106 - Generate a table of paired numbers based on a variable expression with one operation

Obj. 107 - Generate a table of paired numbers based on a variable expression with two operations

Obj. 108 - Determine the variable expression with one operation for a table of paired numbersObj. 109 - WP: Generate a table of paired numbers based on a variable expression with one operation

Obj. 110 - WP: Determine the variable expression with one operation for a table of paired numbersObj. 111 - Use a first quadrant graph to represent the values from a table generated in context

WY MA5.4.2 - Students apply knowledge of patterns when solving problems appropriate to grade level.

Topic 2 - Algebra Obj. 105 - WP: Extend a pattern to solve a problem

WY MA5.4.3 - Students represent the idea of a variable as an unknown quantity, a letter, or a symbol within addition and subtraction sentences using whole numbers.

WY MA5.5 - Students use data analysis and probability to analyze given situations and the results of experiments.WY MA5.5.1 - Students systematically collect, organize, and describe/represent categorical data using bar graphs.


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WY MA5.5.2 - Students find and interpret mode for data sets in a problem-solving setting appropriate to grade level. Students communicate their findings.


Obj. 159 - Determine the mode from a graph

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

WY MA5.5.3 - Students predict and record outcomes of probability experiments or simulations.


Obj. 167 - Determine the probability of a single event given the total number of possible outcomes


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Agency Tag Set NameWyoming, Math, 2008, Grade 6, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA6.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.WY MA6.1.1 - Students use the concept of place value to read and write decimals (to 1000ths) in words, standard, and expanded form.


Obj. 36 - Represent a decimal number in expanded form using powers of ten

Obj. 37 - Determine the decimal number represented in expanded form using powers of ten

WY MA6.1.2 - Students multiply decimals (10ths & 100ths) and divide whole numbers by 2-digit divisors and divide decimals by whole numbers.


Obj. 9 - Divide a whole number by a 1-digit whole number resulting in a decimal quotient through thousandths

Obj. 10 - Divide a whole number by a 2-digit whole number resulting in a decimal quotient through thousandths

Obj. 11 - WP: Divide a whole number by a 1- or 2-digit whole number resulting in a decimal quotient

Obj. 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. 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 number

WY MA6.1.3 - Students represent the number line using integers.


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



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WY MA6.1.4 - Students explain their choice of estimation and problem solving strategies and justify results when performing number operations with fractions and decimals in problem-solving situations.

WY MA6.1.5 - Students identify prime and composite numbers and apply prime factorization to numbers less than 100.


Obj. 1 - Determine the prime factorization of a number between 50 and 200

WY MA6.1.6 - Students demonstrate an understanding of fractions and decimals by:WY MA6.1.6.a - Students demonstrate an understanding of fractions and decimals by: representing fractions as division of whole numbers;WY MA6.1.6.b - Students demonstrate an understanding of fractions and decimals by: converting between mixed numbers and improper fractions;WY MA6.1.6.c - Students demonstrate an understanding of fractions and decimals by: simplifying fractions and mixed numbers;

WY MA6.1.6.d - Students demonstrate an understanding of fractions and decimals by: writing fractions in equivalent forms;WY MA6.1.6.e - Students demonstrate an understanding of fractions and decimals by: using parts of a set;WY MA6.1.6.f - Students demonstrate an understanding of fractions and decimals by: rounding decimal numbers to 10ths, 100ths, and whole numbers (units) place; and

WY MA6.1.6.g - Students demonstrate an understanding of fractions and decimals by: converting between decimals (from .01 to .99), fractions and representing percentages.


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

Obj. 69 - Convert a decimal number to a mixed number


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Obj. 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

WY MA6.1.7 - Students add and subtract mixed numbers with like denominators.WY MA6.1.8 - Students represent repeated multiplication in exponential form.WY MA6.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.WY MA6.2.1 - Students classify, describe, compare, and draw representations of 1- and 2- dimensional objects and angles.


Obj. 132 - Know the properties of a triangle or a quadrilateral

WY MA6.2.2 - Students identify and classify congruent objects by properties appropriate to grade level.


Obj. 133 - Identify congruent shapes shown on a grid or within pattern block arrangements, with different orientations

WY MA6.2.3 - Students communicate the reasoning used in identifying geometric relationships in problem-solving situations appropriate to grade level.


WY MA6.3.1 - Students apply estimation and measurement of length to content problems and express the results in metric units (centimeters and meters).WY MA6.3.2 - Students apply estimation and measurement of weight to content problems and express the results in U.S. customary units (ounces, pounds, and tons).


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WY MA6.3.3 - Students apply estimation and measurement of capacity to content problems and express the results in U.S. customary units (teaspoons, tablespoons, cups, pints, quarts, gallons).

WY MA6.3.4 - Students demonstrate relationships within the U.S. customary units for weight and capacity and within the metric system (centimeters to meters) in problem-solving situations.


Obj. 108 - WP: Add or subtract customary measures of capacity requiring unit conversion

Obj. 109 - WP: Add or subtract metric measures of capacity requiring unit conversionObj. 110 - WP: Add or subtract customary measures of weight requiring unit conversionObj. 111 - WP: Add or subtract metric measures of mass requiring unit conversionObj. 112 - WP: Multiply or divide customary measures of capacity requiring unit conversionObj. 114 - WP: Multiply or divide customary measures of weight requiring unit conversionObj. 115 - WP: Multiply or divide metric measures of mass requiring unit conversion

WY MA6.3.5 - Students determine the area and perimeter of regular polygons and the area of parallelograms, with and without models.WY MA6.4 - Students use algebraic methods to investigate, model, and interpret patterns and functions involving numbers, shapes, data, and graphs in a problem-solving situation.

WY MA6.4.1 - Students recognize, describe, extend, create, and generalize patterns, such as numeric sequences, by using manipulatives, numbers, graphic representations, including charts and graphs.

Topic 2 - Algebra Obj. 103 - WP: Generate a table of paired numbers based on a variable expression with two operations


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

Obj. 105 - Use a 2-variable equation to represent a relationship expressed in a tableObj. 106 - Use a first quadrant graph to represent the values in an input-output tableObj. 107 - Use a graph to determine the entries in an input-output table

WY MA6.4.2 - Students apply their knowledge of patterns to describe a constant rate of change when solving problems.WY MA6.4.3 - Students represent the idea of a variable as an unknown quantity, a letter, or a symbol within any whole number operation.

WY MA6.5 - Students use data analysis and probability to analyze given situations and the results of experiments.WY MA6.5.1 - Students systematically collect, organize, and describe/represent numeric data using line graphs.WY MA6.5.2 - Students, given a scenario, recognize and communicate the likelihood of events using concepts from probability (i.e., impossible, equally likely, certain) appropriate to grade level.


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Agency Tag Set NameWyoming, Math, 2008, Grade 7, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA7.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.WY MA7.1.1 - Students represent and order rational numbers that are greater than or equal to 0 in a variety of equivalent forms in problem-solving situations.


Obj. 12 - Convert a decimal number to a percentage greater than 100%

Obj. 13 - Convert a percentage to a decimal number greater than 1Obj. 14 - Convert a decimal number in thousandths to a percentage

Obj. 15 - Convert a percentage to a decimal number in thousandthsObj. 16 - Convert a mixed number to a percentageObj. 17 - Convert a percentage to a mixed number

WY MA7.1.2 - Students use basic operations with integers in problem-solving situations.


Obj. 35 - Add integers using a number line

Obj. 36 - Add integers using a model

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

WY MA7.1.3 - Students divide decimal numbers by decimal numbers.WY MA7.1.4 - Students explain their choice of estimation and problem- solving strategies and justify results when performing number operations with fractions and decimals in problem-solving situations appropriate to grade level. Students add and subtract fractions and mixed numbers.WY MA7.1.5 - Students multiply and divide fractions and mixed numbers.



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WY MA7.1.6 - Students evaluate whole numbers expressed in exponential form.


Obj. 1 - Determine the exponential notation that represents a repeated multiplicationObj. 2 - Determine the repeated multiplication that is represented by a number raised to a powerObj. 5 - Evaluate a whole number power of a whole numberObj. 6 - Determine an exponential form of a whole number

WY MA7.1.7 - Students apply the order of operations (whole numbers including grouping symbols and operations, excluding roots and powers) in problem-solving situations.


Obj. 11 - Evaluate a numerical expression, with parentheses and exponents, using order of operations

WY MA7.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.WY MA7.2.1 - Students classify and describe one- and two-dimensional geometric objects, including:

WY MA7.2.1.a - Students classify and describe one- and two-dimensional geometric objects, including: lines, rays, segments, and angles;


Obj. 115 - Identify vertical, adjacent, complementary, or supplementary angles

WY MA7.2.1.b - Students classify and describe one- and two-dimensional geometric objects, including: parallel and perpendicular relationships; andWY MA7.2.1.c - Students classify and describe one- and two-dimensional geometric objects, including: regular polygon types.WY MA7.2.2 - Students make conjectures about geometric figures based on knowledge of congruence and similarity.WY MA7.2.3 - Students communicate the reasoning used in identifying geometric relationships in problem-solving situations appropriate to grade level.



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WY MA7.3.1 - Students apply estimation and measurement of length to content problems and convert within the U.S. customary (in, ft, yd, mi) and within the metric system (mm, cm, m, km).WY MA7.3.2 - Students apply estimation and measurement of weight to content problems expressing the results in metric units (g, kg).WY MA7.3.3 - Students apply estimation and measurement of capacity to content problems expressing the results in metric units (liters).WY MA7.3.4 - Students determine the circumference of a circle using models.WY MA7.3.5 - Students calculate the areas of triangles and trapezoids.


Obj. 86 - Determine the area of a trapezoid

WY MA7.3.6 - Students measure angles with a protractor.WY MA7.4 - Students use algebraic methods to investigate, model, and interpret patterns and functions involving numbers, shapes, data, and graphs in a problem-solving situation.

WY MA7.4.1 - Students translate word phrases, which involve addition and subtraction, into mathematical expressions.WY MA7.4.2 - Students solve one-step linear equations.

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

WY MA7.4.3 - Students evaluate algebraic expressions and formulas, using order of operations, given positive integer values for variables.

Topic 2 - Algebra Obj. 61 - Evaluate a rational expression involving variables with two or more terms in the numerator or denominator

Obj. 64 - Evaluate an algebraic expression involving whole number exponentsObj. 65 - WP: Evaluate a variable expressionObj. 66 - WP: Evaluate a variable expression involving exponents


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WY MA7.4.4 - Students understand and use basic concepts of the coordinate system, including plotting points in all four quadrants.

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


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

WY MA7.5 - Students use data analysis and probability to analyze given situations and the results of experiments.WY MA7.5.1 - Students systematically collect, organize, describe, and analyze data using histograms.


Obj. 128 - Answer a question using information from a histogram

WY MA7.5.2 - Students calculate mean, median, mode, and range for data sets and use in real world setting.


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

Obj. 133 - Determine the mode(s) of a set of dataObj. 134 - Determine the median of a set of dataObj. 135 - WP: Use the mean of a data set to solve a problem

WY MA7.5.3 - Students predict, compare, and report as ratios probable outcomes of experiments or simulations (i.e., impossible, equally likely, certain).


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Agency Tag Set NameWyoming, Math, 2008, Grade 8, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA8.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.WY MA8.1.1 - Students represent and apply numbers in a variety of equivalent forms (such as changing from percent to decimal to fraction, etc.) and in a problem-solving context:WY MA8.1.1.a - Students represent and apply numbers in a variety of equivalent forms (such as changing from percent to decimal to fraction, etc.) and in a problem-solving context: prime factors, factors, and multiples;WY MA8.1.1.b - Students represent and apply numbers in a variety of equivalent forms (such as changing from percent to decimal to fraction, etc.) and in a problem-solving context: rational numbers and proportions; and


Obj. 8 - Add or subtract signed decimals

Obj. 9 - Multiply or divide signed decimalsObj. 17 - Convert a repeating decimal to a fraction or a mixed number

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

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

Obj. 26 - WP: Determine a number given a part and a decimal percentage or a percentage more than 100%Obj. 27 - Solve a problem involving simple interestObj. 28 - Solve a problem involving annually compounded interest



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Obj. 29 - WP: Find the result of two consecutive percentage changes applied to a given number

WY MA8.1.1.c - Students represent and apply numbers in a variety of equivalent forms (such as changing from percent to decimal to fraction, etc.) and in a problem-solving context: square roots and powers.


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

Obj. 2 - Evaluate a zero or negative power of an integerObj. 11 - Determine the square of a fraction or a decimalObj. 12 - Determine the square root of a perfect-square fraction or decimalObj. 13 - Determine both square roots of a perfect squareObj. 14 - Determine the two closest integers to a given square root

Obj. 16 - Determine the square root of a whole number to the nearest tenth

WY MA8.1.2 - Students extend understanding and use of basic arithmetic operations on rational numbers.WY MA8.1.2.a - Students extend understanding and use of basic arithmetic operations on rational numbers. Simplify numerical expressions using the order of operations;


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

Obj. 10 - Evaluate a numerical expression involving nested parentheses

WY MA8.1.2.b - Students extend understanding and use of basic arithmetic operations on rational numbers. Order rational numbers expressed in a variety of forms


Obj. 19 - Compare rational numbers and/or irrational numbers in various forms

WY MA8.1.3 - Students explain their choice of estimation and problem- solving strategies and justify results of solutions in problem-solving situations involving rational numbers.

WY MA8.1.4 - Students understand properties of operations with rational numbers.


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WY MA8.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.WY MA8.2.1 - Students classify and describe one-, two-, and three-dimensional geometric objects, including:WY MA8.2.1.a - Students classify and describe one-, two-, and three-dimensional geometric objects, including: lines, rays, segments, and angles;WY MA8.2.1.b - Students classify and describe one-, two-, and three-dimensional geometric objects, including: parallel and perpendicular relationships;WY MA8.2.1.c - Students classify and describe one-, two-, and three-dimensional geometric objects, including: circles and spheres;WY MA8.2.1.d - Students classify and describe one-, two-, and three-dimensional geometric objects, including: regular polygon types;WY MA8.2.1.e - Students classify and describe one-, two-, and three-dimensional geometric objects, including: right prisms, cylinders, cones, and pyramids.WY MA8.2.2 - Students make conjectures about geometric objects based on knowledge of geometric transformations, congruence, and similarity.WY MA8.2.3 - Students use geometric formulas including the Pythagorean Theorem.


Obj. 71 - Determine the length of the hypotenuse of a right triangle using the Pythagorean theoremObj. 72 - Determine the length of a leg of a right triangle using the Pythagorean theoremObj. 73 - WP: Use the Pythagorean theorem to find a length or a distance

Obj. 74 - Determine a distance on the Cartesian plane using the Pythagorean theoremObj. 75 - Determine if a triangle is a right triangle by using the Pythagorean theorem


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WY MA8.2.4 - Students communicate the reasoning used in identifying geometric relationships in problem-solving situations appropriate to grade level.

WY MA8.2.5 - Students represent geometric figures using a rectangular coordinate plane.WY MA8.3 - Students use a variety of tools and techniques of measurement in a problem-solving situation.

WY MA8.3.1 - Students apply estimation and measurement of weight/mass to content problems and convert within U.S. customary and within metric units (mg, g, kg).WY MA8.3.2 - Students apply estimation and measurement of capacity/volume to content problems and convert within metric units (ml, l).

WY MA8.3.3 - Students select and use the appropriate methods, tools, and units to solve problems involving angle measure, perimeter, circumference, area (including circles), and volume of rectangular solids.


Obj. 58 - Solve a problem involving perimeters or areas of two different shapes

Obj. 59 - Determine the ratio of the perimeters or areas of similar shapes


WY MA8.4.1 - Students translate word phrases, which involve the four basic operations to mathematical expressions.WY MA8.4.2 - Students solve one- and two- step linear equations each with an integer coefficient and integer solutions.WY MA8.4.3 - Students evaluate algebraic expressions and formulas given integer values for variables.

Topic 2 - Algebra Obj. 32 - Evaluate an algebraic expression involving negative integer exponents


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WY MA8.4.4 - Using simple linear equations, students create a table, and graph the solutions on the coordinate system.

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

Obj. 43 - Determine the table of values that represents a linear equation with rational coefficients in two variablesObj. 45 - Determine the graph of a 2-operation linear function

WY MA8.5 - Students use data analysis and probability to analyze given situations and the results of experiments.WY MA8.5.1 - Students systematically collect, organize, describe, analyze, and represent data using tables, charts, diagrams, and graphs.


Obj. 76 - Use a circle graph to organize data

Obj. 77 - Use a scatter plot to organize dataObj. 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 plotObj. 80 - Answer a question using information from a scatter plotObj. 82 - Read a box-and-whisker plotObj. 83 - Use a box-and-whisker plot to organize dataObj. 84 - Answer a question using information from a box-and-whisker plotObj. 85 - Answer a question using information from two box-and-whisker plotsObj. 86 - Answer a question using information from a Venn diagram with three circlesObj. 87 - Use a Venn diagram to organize summarized data

WY MA8.5.2 - Students calculate mean, median, mode, and range for data sets and use in a real-world setting appropriate to grade level.


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

Obj. 90 - Determine the median of the data in a frequency table or a bar graph


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Obj. 91 - Determine the mean of the data in a frequency table or a bar graph

WY MA8.5.3 - Students predict, compare, and calculate probable outcomes of experiments or simulations.WY MA8.5.4 - Students communicate about the likelihood of events using concepts from probability such as impossible, equally likely and certain appropriate to grade level.


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Agency Tag Set NameWyoming, Math, 2008, Grades: 9-11, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA11.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.WY MA11.1.1 - Students represent and apply real numbers in a variety of forms.WY MA11.1.2 - Students apply the structure and properties of the real number system.WY MA11.1.3 - Students explain their choice of estimation and problem solving strategies and justify results of solutions in problem-solving situations involving real numbers.

WY MA11.1.4 - Students use proportional reasoning to solve problems.

Topic 13 - Rational Equations and Functions

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

WY MA11.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.WY MA11.2.1 - Students use transformations, congruency, symmetry, similarity, perpendicularity, parallelism, and the Pythagorean Theorem to solve problems.

WY MA11.2.2 - Students communicate, using mathematical language, to:WY MA11.2.2.a - Students communicate, using mathematical language, to: Interpret, represent, or create geometric figures;WY MA11.2.2.b - Students communicate, using mathematical language, to: Draw or build figures from a mathematical description;WY MA11.2.2.c - Students communicate, using mathematical language, to: Analyze properties and determine attributes of 2- and 3- dimensional objects.WY MA11.2.3 - Students communicate the reasoning used in identifying geometric relationships in problem-solving situations.

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

Accelerated Math Grades 9 - 11

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Agency Tag Set NameWyoming, Math, 2008, Grades: 9-11, Content Standards, State Department of EducationStandard Topic Description Objective Description


WY MA11.2.4 - Students solve problems involving the coordinate plane such as the distance between two points, the midpoint, and slope.

WY MA11.2.5 - Students connect geometry with other mathematical topics.WY MA11.3 - Students use a variety of tools and techniques of measurement in a problem-solving situation.WY MA11.3.1 - Students apply estimation and measurement using the appropriate methods and units to solve problems involving length, weight/mass, area, surface area, volume, and angle measure.WY MA11.3.2 - Students demonstrate an understanding of both metric and U. S. customary systems. Students are able to convert within each system.WY MA11.3.3 - Students identify and apply scale, ratios, and proportions in solving measurement problems.

WY MA11.3.4 - Students solve problems of angle measure including those involving polygons or parallel lines cut by a transversal.

WY MA11.3.5 - Students solve indirect measurement problems.WY MA11.4 - Students use algebraic methods to investigate, model, and interpret patterns and functions involving numbers, shapes, data, and graphs in a problem-solving situation.

WY MA11.4.1 - Students use algebraic concepts, symbols, and skills to represent and solve real-world problems.

Topic 3 - Linear Equations and Inequalities

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

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

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 equations


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

Topic 8 - Quadratic Equations and Functions

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

WY MA11.4.2 - Students write, model, and evaluate expressions, functions, equations, and inequalities.

Topic 2 - Relations and Functions

Obj. 11 - Evaluate a function written in function notation for a given value


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

WY MA11.4.3 - Students graph linear equations and interpret the results in solving algebraic problems.


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

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

WY MA11.4.4 - Students solve, graph, or interpret systems of linear equations.


Obj. 45 - Solve a system of linear equations in two variables by graphingObj. 46 - Solve a system of linear equations in two variables by substitutionObj. 47 - Solve a system of linear equations in two variables by eliminationObj. 48 - Determine the number of solutions to a system of linear equationsObj. 49 - Solve a system of linear equations in two variables using any method

WY MA11.4.5 - Students connect algebra with other mathematical topics.WY MA11.5 - Students use data analysis and probability to analyze given situations and the results of experiments.WY MA11.5.1 - Students apply knowledge of mean, median, mode, and range to interpret and evaluate information and data.WY MA11.5.2 - Students draw reasonable inferences from statistical data and/or correlation/best fit line to predict outcomes.


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WY MA11.5.3 - Students communicate about the likelihood of events using concepts from probability.WY MA11.5.3.a - Students communicate about the likelihood of events using concepts from probability. sample spaceWY MA11.5.3.b - Students communicate about the likelihood of events using concepts from probability. evaluate simple probabilitiesWY MA11.5.3.c - Students communicate about the likelihood of events using concepts from probability. evaluate experimental vs. theoreticalWY MA11.5.4 - Students determine, collect, organize, and analyze relevant data needed to make conclusions.


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Agency Tag Set NameWyoming, Math, 2008, Grades: 9-11, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA11.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.

Topic 1 - The Real Numbers Obj. 1 - Determine if numbers are irrational

Obj. 2 - Classify real numbersObj. 4 - Reflex, symm, trans, and subst properties

WY MA11.1.1 - Students represent and apply real numbers in a variety of forms.

Topic 6 - Roots, Radicals, and Complex Numbers

Obj. 68 - Square roots

Obj. 69 - Write square roots as exponential expressionsObj. 70 - Simplify expressions with fractional exponentsObj. 73 - Simplify expressions with rational exponentsObj. 74 - Add and subtract radical expressionsObj. 75 - Rationalize denominators

Topic 9 - Exponents and Logarithms

Obj. 131 - Find logarithms by converting to exponential formObj. 132 - Find natural logarithms of numbers

Topic 10 - Rational Expressions and Equations

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

Topic 12 - Sequences and Series Obj. 180 - Common differences of arithmetic sequencesObj. 181 - Find terms of arith seq (1st term and common diff)Obj. 182 - Find specified term of arithmetic sequenceObj. 186 - Find ratios of geometric sequencesObj. 187 - Find ratios of geometric sequences given 3 terms

Topic 13 - Probability Obj. 197 - Evaluate factorialsObj. 198 - Simplify factorial expressions

WY MA11.1.2 - Students apply the structure and properties of the real number system.

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

Obj. 5 - Order rational numbersObj. 6 - Operations with rational numbers

Standards List with Aligned Product SkillsProduct NameAccelerated Math Algebra 2


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Obj. 7 - Order of operationsObj. 8 - Evaluate expressions for given valuesObj. 9 - WP: Evaluate expressions


Obj. 69 - Write square roots as exponential expressionsObj. 70 - Simplify expressions with fractional exponents


Obj. 133 - Properties of logarithms, simplify expressionsObj. 134 - Properties of logs, find equivalent logs

WY MA11.1.3 - Students explain their choice of estimation and problem solving strategies and justify results of solutions in problem-solving situations involving real numbers.

WY MA11.1.4 - Students use proportional reasoning to solve problems.WY MA11.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.

Topic 15 - Trigonometry Obj. 231 - WP: Law of Sines and Law of Cosines

Obj. 236 - WP: TrigonometryWY MA11.2.1 - Students use transformations, congruency, symmetry, similarity, perpendicularity, parallelism, and the Pythagorean Theorem to solve problems.

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

WY MA11.2.2 - Students communicate, using mathematical language, to:WY MA11.2.2.a - Students communicate, using mathematical language, to: Interpret, represent, or create geometric figures;WY MA11.2.2.b - Students communicate, using mathematical language, to: Draw or build figures from a mathematical description;WY MA11.2.2.c - Students communicate, using mathematical language, to: Analyze properties and determine attributes of 2- and 3- dimensional objects.


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WY MA11.2.3 - Students communicate the reasoning used in identifying geometric relationships in problem-solving situations.


Topic 3 - Relations, Functions, and Graphs

Obj. 39 - Find slopes from 2 points

Topic 11 - Conics and Second-Degree Equations

Obj. 157 - Find distances between 2 points

Topic 15 - Trigonometry Obj. 219 - Determine in which quadrant an angle liesObj. 226 - Determine amplitude, period, and phase shiftObj. 227 - Graph sine and cosine functionsObj. 228 - Graph trigonometric functions

WY MA11.2.5 - Students connect geometry with other mathematical topics.


Obj. 33 - Find inverses of functions

Obj. 34 - Graph linear equations, ax + by = cObj. 35 - Graph linear equations, y = ax + bObj. 36 - Graph inverses of linear functions


Obj. 157 - Find distances between 2 pointsObj. 158 - Graph circlesObj. 159 - Circles, general form equationsObj. 160 - Circles, write equations given centers and radiiObj. 161 - Circles, write equations using given factsObj. 163 - Graph ellipsesObj. 164 - Ellipses, general form equationsObj. 165 - Ellipses, write equations using given factsObj. 166 - Graph hyperbolas (standard equation)Obj. 167 - Graph hyperbolas (general equation)Obj. 168 - Hyperbolas, find vertices, foci, and asymptotesObj. 169 - Hyperbolas, graph inequalities


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Obj. 170 - Parabolas, find vertex from equationObj. 171 - Graph parabolas (y = x^2)

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

Obj. 174 - Identify equations of conicsObj. 178 - Graph systems of linear and 2nd-degree equationsObj. 179 - Graph systems of 2nd-degree inequalities

Topic 15 - Trigonometry Obj. 226 - Determine amplitude, period, and phase shiftObj. 227 - Graph sine and cosine functionsObj. 228 - Graph trigonometric functions

WY MA11.3 - Students use a variety of tools and techniques of measurement in a problem-solving situation.WY MA11.3.1 - Students apply estimation and measurement using the appropriate methods and units to solve problems involving length, weight/mass, area, surface area, volume, and angle measure.

Topic 7 - Quadratic Obj. 102 - WP: Area and perimeter

Topic 15 - Trigonometry Obj. 220 - Degrees to radiansObj. 221 - Radians to degrees

WY MA11.3.2 - Students demonstrate an understanding of both metric and U. S. customary systems. Students are able to convert within each system.WY MA11.3.3 - Students identify and apply scale, ratios, and proportions in solving measurement problems.

Topic 15 - Trigonometry Obj. 234 - Find a side given side and angle

Obj. 235 - Find unknown sides of right triangles


WY MA11.3.5 - Students solve indirect measurement problems.

Topic 15 - Trigonometry Obj. 234 - Find a side given side and angleObj. 235 - Find unknown sides of right trianglesObj. 236 - WP: Trigonometry


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Obj. 11 - Solve linear equations

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


Obj. 26 - Domain and range, relationsObj. 27 - Domain and range, functionsObj. 28 - Domain and range, determine from graphsObj. 29 - Determine if relations are functionsObj. 30 - Determine if functions are one-to-oneObj. 42 - Identify parallel and perpendicular lines


Obj. 76 - Solve equations containing radicalsObj. 82 - Factor expressions using complex numbersObj. 86 - Solve equations involving complex numbers

Topic 7 - Quadratic Obj. 90 - Factor quadratics, roots with radicalsObj. 104 - Solve cubic equationsObj. 105 - Solve quadratic inequalitiesObj. 107 - Solve cubic inequalities with 1-variable

Topic 8 - Polynomials Obj. 108 - Find degrees of polynomials


Obj. 143 - Rational expressions, domainsObj. 144 - Rational expressions, lowest common denominatorObj. 145 - Simplify rational expressionsObj. 146 - Simplify rational expressions by factoring


Obj. 170 - Parabolas, find vertex from equation

Topic 12 - Sequences and Series Obj. 181 - Find terms of arith seq (1st term and common diff)Obj. 182 - Find specified term of arithmetic sequenceObj. 183 - Find terms of arith seq (formula for nth term)


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Obj. 184 - WP: Arithmetic sequences

Obj. 185 - Find sums of arithmetic seriesObj. 188 - Find specified term of geo seq given first 3 termsObj. 189 - Find general terms of geo seq given first 4 termsObj. 191 - Find sums of finite geometric seriesObj. 192 - Find sums of infinite geometric seriesObj. 193 - Write geometric series in sigma notationObj. 194 - Evaluate geometric series in sigma notation


Topic 1 - The Real Numbers Obj. 9 - WP: Evaluate expressions


Obj. 12 - WP: Solve linear equations

Obj. 18 - WP: Solve linear inequalities


Obj. 37 - WP: Function problems

Obj. 40 - WP: Linear equationsTopic 4 - Systems of Equations and Inequalities

Obj. 51 - WP: Solve systems, number problemsObj. 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. 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 equations

Topic 8 - Polynomials Obj. 128 - WP: Polynomials


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Obj. 138 - WP: Interest problems

Obj. 139 - WP: Growth and decay problemsObj. 140 - WP: Earthquake problems


Obj. 153 - WP: Rational expressions


Obj. 162 - WP: Circles

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

Topic 12 - Sequences and Series Obj. 190 - WP: Geometric sequencesObj. 195 - WP: Geometric series

Topic 15 - Trigonometry Obj. 231 - WP: Law of Sines and Law of CosinesObj. 236 - WP: Trigonometry


Topic 1 - The Real Numbers Obj. 8 - Evaluate expressions for given values

Obj. 9 - WP: Evaluate expressionsTopic 2 - Linear Equations and Inequalities

Obj. 10 - Verify solutions for given equationsObj. 12 - WP: Solve linear equations

Obj. 15 - Translate word phrases to inequalitiesObj. 19 - Graph inequalities (number line)Obj. 20 - Graph inequalities, 1-variable (coordinate plane)Obj. 21 - Graph linear inequalities in 2-variablesObj. 22 - Graph absolute value inequalities (number line)Obj. 23 - Graph absolute value ineq (coordinate plane)Obj. 24 - Solve and graph compound inequalitiesObj. 25 - WP: Absolute value and inequalities


Obj. 31 - Evaluate functions for given valuesObj. 32 - Find compositions of 2 functionsObj. 38 - Write equation from slope and point, ax + by = cObj. 39 - Find slopes from 2 points


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

Topic 4 - Systems of Equations and Inequalities

Obj. 44 - Verify ordered pairs are solutions to systemsObj. 45 - Solve systems, substitution

Obj. 49 - Verify ordered triples are solutions to systemsObj. 51 - WP: Solve systems, number problemsObj. 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 problemsObj. 56 - Solve systems of linear inequalities by graphingObj. 57 - Solve linear programming problems


Obj. 69 - Write square roots as exponential expressionsObj. 72 - WP: RootsObj. 74 - Add and subtract radical expressionsObj. 78 - Graph square rootsObj. 79 - Graph nth roots

Topic 7 - Quadratic Obj. 91 - Quadratic formula, 2 real rootsObj. 92 - Quadratic formula, complex rootsObj. 93 - Find and use discriminants

Obj. 94 - Write quadratic equations given solutionsObj. 95 - Solve quadratic equations containing rational exprObj. 96 - Graph quadratic functions

Obj. 97 - WP: Graph quadratic functionsObj. 98 - Solve variation problemsObj. 99 - WP: Variation problemsObj. 100 - WP: Pythagorean TheoremObj. 101 - WP: Number problems using quadratic equationsObj. 103 - WP: Other problems using quadratic equations


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Obj. 106 - Graph quadratic inequalities

Topic 8 - Polynomials Obj. 109 - Evaluate polynomials for given valuesObj. 127 - Graph polynomial functions


Obj. 138 - WP: Interest problems

Obj. 139 - WP: Growth and decay problemsObj. 140 - WP: Earthquake problems

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


Obj. 147 - Graph rational functions and equationsObj. 153 - WP: Rational expressions


Obj. 158 - Graph circles

Obj. 159 - Circles, general form equationsObj. 160 - Circles, write equations given centers and radiiObj. 161 - Circles, write equations using given factsObj. 162 - WP: CirclesObj. 163 - Graph ellipsesObj. 164 - Ellipses, general form equationsObj. 165 - Ellipses, write equations using given factsObj. 166 - Graph hyperbolas (standard equation)Obj. 167 - Graph hyperbolas (general equation)Obj. 169 - Hyperbolas, graph inequalitiesObj. 171 - Graph parabolas (y = x^2)


Obj. 178 - Graph systems of linear and 2nd-degree equationsObj. 179 - Graph systems of 2nd-degree inequalities



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


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Obj. 35 - Graph linear equations, y = ax + bObj. 36 - Graph inverses of linear functions


Obj. 56 - Solve systems of linear inequalities by graphing

WY MA11.4.4 - Students solve, graph, or interpret systems of linear equations.


Obj. 46 - Solve systems, elimination

Obj. 47 - Determine number of solutions for systemsObj. 48 - Graph systems of equations

Obj. 50 - Solve systems, three equationsObj. 51 - WP: Solve systems, number problemsObj. 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


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

WY MA11.4.5 - Students connect algebra with other mathematical topics.


Obj. 19 - Graph inequalities (number line)

Obj. 20 - Graph inequalities, 1-variable (coordinate plane)Obj. 21 - Graph linear inequalities in 2-variables


Obj. 33 - Find inverses of functions

Topic 5 - Matrices and Determinants

Obj. 58 - Matrices, multiply by a constant (2 x 2)Obj. 59 - Matrices, sums and differences (3 x 3)Obj. 60 - Matrices, products (3 x 3)

Obj. 61 - Determinants, evaluate (2 x 2)Obj. 62 - Determinants, evaluate (3 x 3)Obj. 63 - Matrices, inversesObj. 64 - Cramer's Rule, solve systems of 2 equations


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Obj. 65 - Cramer's Rule, solve systems of 3 equationsObj. 66 - Matrices, solve systems of equationsObj. 67 - WP: Matrices

Topic 8 - Polynomials Obj. 127 - Graph polynomial functions


Obj. 157 - Find distances between 2 pointsObj. 158 - Graph circlesObj. 159 - Circles, general form equationsObj. 160 - Circles, write equations given centers and radiiObj. 161 - Circles, write equations using given factsObj. 162 - WP: CirclesObj. 163 - Graph ellipsesObj. 164 - Ellipses, general form equationsObj. 165 - Ellipses, write equations using given factsObj. 166 - Graph hyperbolas (standard equation)Obj. 167 - Graph hyperbolas (general equation)Obj. 168 - Hyperbolas, find vertices, foci, and asymptotesObj. 169 - Hyperbolas, graph inequalitiesObj. 170 - Parabolas, find vertex from equationObj. 171 - Graph parabolas (y = x^2)


Obj. 173 - WP: Production and profit problemsObj. 174 - Identify equations of conicsObj. 175 - Solve systems of linear and 2nd-degree equationsObj. 176 - Solve systems of 2nd-degree equationsObj. 177 - WP: Systems of equations

Obj. 178 - Graph systems of linear and 2nd-degree equationsObj. 179 - Graph systems of 2nd-degree inequalities


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WY MA11.5 - Students use data analysis and probability to analyze given situations and the results of experiments.

Topic 13 - Probability Obj. 199 - Permutations

Obj. 200 - CombinationsObj. 201 - Binomial expansion, find nth termsObj. 203 - Probability using Pascal's triangleObj. 207 - Compare odds and probability

WY MA11.5.1 - Students apply knowledge of mean, median, mode, and range to interpret and evaluate information and data.

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 setsObj. 214 - Means, medians, and modes of data setsObj. 215 - Recognize types of central tendency

WY MA11.5.2 - Students draw reasonable inferences from statistical data and/or correlation/best fit line to predict outcomes.

Topic 14 - Statistics Obj. 208 - Line and stem-and-leaf plots

Obj. 209 - Box-and-whisker plotsObj. 214 - Means, medians, and modes of data setsObj. 215 - Recognize types of central tendencyObj. 216 - Mean and standard deviationObj. 217 - Calculate z-scoresObj. 218 - Normal curves

WY MA11.5.3 - Students communicate about the likelihood of events using concepts from probability.WY MA11.5.3.a - Students communicate about the likelihood of events using concepts from probability. sample space

Topic 13 - Probability Obj. 196 - Fundamental Counting Principle

WY MA11.5.3.b - Students communicate about the likelihood of events using concepts from probability. evaluate simple probabilities

Topic 13 - Probability Obj. 202 - Probability of single events

Obj. 204 - Probability of independent eventsObj. 205 - Conditional probability


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Obj. 206 - Probability of dependent events

WY MA11.5.3.c - Students communicate about the likelihood of events using concepts from probability. evaluate experimental vs. theoreticalWY MA11.5.4 - Students determine, collect, organize, and analyze relevant data needed to make conclusions.

Topic 14 - Statistics Obj. 208 - Line and stem-and-leaf plots

Obj. 209 - Box-and-whisker plotsObj. 210 - Interquartile ranges of data setsObj. 211 - Means of data setsObj. 212 - Medians of data setsObj. 213 - Modes of data setsObj. 215 - Recognize types of central tendencyObj. 216 - Mean and standard deviationObj. 217 - Calculate z-scoresObj. 218 - Normal curves


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Agency Tag Set NameWyoming, Math, 2008, Grades: 9-11, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA11.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.WY MA11.1.1 - Students represent and apply real numbers in a variety of forms.WY MA11.1.2 - Students apply the structure and properties of the real number system.WY MA11.1.3 - Students explain their choice of estimation and problem solving strategies and justify results of solutions in problem-solving situations involving real numbers.

WY MA11.1.4 - Students use proportional reasoning to solve problems.

Topic 6 - Similarity Obj. 34 - Determine the length of a side in one of two similar polygons

Obj. 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 7 - Right Triangles and Trigonometry

Obj. 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 triangleObj. 52 - WP: Determine a length in a right triangle using a sine, cosine, or tangent ratioObj. 53 - WP: Determine the measure of an angle in a right triangle using a sine, cosine, or tangent ratio

Standards List with Aligned Product SkillsProduct NameAccelerated Math Second Edition Geometry


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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

WY MA11.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.WY MA11.2.1 - Students use transformations, congruency, symmetry, similarity, perpendicularity, parallelism, and the Pythagorean Theorem to solve problems.

Topic 1 - Basic Concepts of Geometry

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

Topic 2 - Parallel and Perpendicular lines

Obj. 12 - Determine the measure of an angle in a figure involving parallel and/or perpendicular lines

Topic 3 - Relationships Within Triangles

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

Topic 4 - Congruent Triangles Obj. 22 - Determine the length of a side or the measure of an angle in congruent trianglesObj. 25 - Solve a problem involving a point on the bisector of an angle

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


Obj. 48 - WP: Solve a problem involving a complex figure using the Pythagorean theorem



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


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

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

WY MA11.2.2 - Students communicate, using mathematical language, to:WY MA11.2.2.a - Students communicate, using mathematical language, to: Interpret, represent, or create geometric figures;WY MA11.2.2.b - Students communicate, using mathematical language, to: Draw or build figures from a mathematical description;WY MA11.2.2.c - Students communicate, using mathematical language, to: Analyze properties and determine attributes of 2- and 3- dimensional objects.WY MA11.2.3 - Students communicate the reasoning used in identifying geometric relationships in problem-solving situations.



Obj. 4 - Determine the distance between two points

Obj. 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 figure


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Obj. 8 - Solve a problem involving the midpoint formula

WY MA11.2.5 - Students connect geometry with other mathematical topics.WY MA11.3 - Students use a variety of tools and techniques of measurement in a problem-solving situation.WY MA11.3.1 - Students apply estimation and measurement using the appropriate methods and units to solve problems involving length, weight/mass, area, surface area, volume, and angle measure.WY MA11.3.2 - Students demonstrate an understanding of both metric and U. S. customary systems. Students are able to convert within each system.WY MA11.3.3 - Students identify and apply scale, ratios, and proportions in solving measurement problems.

Topic 6 - Similarity Obj. 34 - Determine the length of a side in one of two similar polygons

Obj. 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


Obj. 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


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Obj. 52 - WP: Determine a length in a right triangle using a sine, cosine, or tangent ratioObj. 53 - WP: Determine the measure of an angle in a right triangle using a sine, cosine, or tangent ratio




Topic 2 - Parallel and Perpendicular lines

Obj. 10 - Determine the measure of an angle formed by parallel lines and one or more transversals

Obj. 12 - Determine the measure of an angle in a figure involving parallel and/or perpendicular lines


Obj. 15 - Determine the measure of an angle using the sum of the interior angles in a triangleObj. 16 - Determine the measure of an angle using angle relationships and the sum of the interior angles in a triangle

Topic 5 - Quadrilaterals and Other Polygons

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



Obj. 7 - Determine the area of a right triangle or a rectangle given the coordinates of the vertices of the figure


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

Topic 5 - Quadrilaterals and Other Polygons

Obj. 27 - Determine a length or an angle measure using general properties of parallelogramsObj. 28 - Determine a length or an angle measure using properties of squares, rectangles, or rhombiObj. 29 - Determine a length or an angle measure using properties of kitesObj. 30 - Determine a length or an angle measure using properties of trapezoids


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Obj. 31 - Determine a length or an angle measure in a complex figure using properties of polygonsObj. 32 - WP: Solve a problem using the properties of angles and/or sides of polygons

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


Obj. 44 - Determine a length in a complex figure using the Pythagorean theoremObj. 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. 48 - WP: Solve a problem involving a complex figure using the Pythagorean theoremObj. 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 triangleObj. 52 - WP: Determine a length in a right triangle using a sine, cosine, or tangent ratio


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


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

Obj. 89 - Determine a length given the surface area of a right prism or a right pyramid that has a regular polygon as its baseObj. 92 - Solve a problem involving the volume of a right pyramid or a right coneObj. 95 - Determine the radius, diameter, or circumference of a sphere given its surface areaObj. 96 - WP: Solve a problem involving the surface area of a sphere

Obj. 98 - Solve a problem involving the surface area of a complex solid figureObj. 102 - WP: Solve a problem involving the volume of a complex solid figure


WY MA11.4.1 - Students use algebraic concepts, symbols, and skills to represent and solve real-world problems.WY MA11.4.2 - Students write, model, and evaluate expressions, functions, equations, and inequalities.


WY MA11.4.4 - Students solve, graph, or interpret systems of linear equations.WY MA11.4.5 - Students connect algebra with other mathematical topics.


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WY MA11.5 - Students use data analysis and probability to analyze given situations and the results of experiments.WY MA11.5.1 - Students apply knowledge of mean, median, mode, and range to interpret and evaluate information and data.WY MA11.5.2 - Students draw reasonable inferences from statistical data and/or correlation/best fit line to predict outcomes.

WY MA11.5.3 - Students communicate about the likelihood of events using concepts from probability.WY MA11.5.3.a - Students communicate about the likelihood of events using concepts from probability. sample spaceWY MA11.5.3.b - Students communicate about the likelihood of events using concepts from probability. evaluate simple probabilities

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



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Agency Tag Set NameWyoming, Math, 2008, Grades: 9-11, Content Standards, State Department of EducationStandard Topic Description Objective DescriptionWY MA11.1 - Students use numbers, number sense, and number relationships in a problem-solving situation.

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

Obj. 129 - Find ratios of geo seq given 3 terms

WY MA11.1.1 - Students represent and apply real numbers in a variety of forms.WY MA11.1.2 - Students apply the structure and properties of the real number system.

Topic 3 - Exponential and Logarithmic Functions

Obj. 51 - Exponential equations to log form

Obj. 52 - Log equations to exponential formObj. 53 - Find logs by converting to exponential formObj. 54 - Properties of logs, rewrite expressions

WY MA11.1.3 - Students explain their choice of estimation and problem solving strategies and justify results of solutions in problem-solving situations involving real numbers.

WY MA11.1.4 - Students use proportional reasoning to solve problems.WY MA11.2 - Students apply geometric concepts, properties, and relationships in a problem-solving situation.

Topic 4 - Trigonometric Functions

Obj. 62 - Degrees to radians

Obj. 63 - Radians to degreesObj. 66 - Graph sin & cos using amp, period, & phase shiftObj. 67 - Graph tan & cot functions

Obj. 68 - Graph sec & csc functions

Topic 5 - Applications in Trigonometry

Obj. 77 - Find areas of non-right triangles

Topic 6 - Polar Coordinates Obj. 81 - Rectangular to polar coordinatesObj. 82 - Polar to rectangular coordinates

WY MA11.2.1 - Students use transformations, congruency, symmetry, similarity, perpendicularity, parallelism, and the Pythagorean Theorem to solve problems.

Standards List with Aligned Product SkillsProduct NameAccelerated Math Pre-Calculus


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WY MA11.2.2 - Students communicate, using mathematical language, to:WY MA11.2.2.a - Students communicate, using mathematical language, to: Interpret, represent, or create geometric figures;

Topic 7 - Conic Sections Obj. 94 - Circles, determine centers & radii from eqns

Obj. 97 - Ellipses, find centers, vertices, & fociObj. 100 - Hyperbolas, write eqns from given information

WY MA11.2.2.b - Students communicate, using mathematical language, to: Draw or build figures from a mathematical description;WY MA11.2.2.c - Students communicate, using mathematical language, to: Analyze properties and determine attributes of 2- and 3- dimensional objects.WY MA11.2.3 - Students communicate the reasoning used in identifying geometric relationships in problem-solving situations.


Topic 1 - Review of Fundamental Concepts of Algebra

Obj. 1 - Apply the distance & midpoint formulas

Obj. 22 - Use rigid & nonrigid transformations to graph funcObj. 23 - Graph rational functionsObj. 24 - Graph piecewise-defined functions

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


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


Topic 7 - Conic Sections Obj. 91 - Parabolas, graph given equationsObj. 93 - Parabolas, graph inequalitiesObj. 96 - Circle, graph given equationsObj. 99 - Ellipses, graph given equations


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Obj. 102 - Hyperbola, graph given equationsObj. 103 - Hyperbolas, graph inequalities


Obj. 119 - Solve systems of linear inequalities

Topic 11 - Vectors Obj. 152 - Given 2 points, find a vector & its magnitude

WY MA11.2.5 - Students connect geometry with other mathematical topics.

Topic 2 - Polynomials Obj. 35 - Parabolas, find vertex from equation

Topic 7 - Conic Sections Obj. 94 - Circles, determine centers & radii from eqnsObj. 95 - Circles, write eqns from given informationObj. 97 - Ellipses, find centers, vertices, & fociObj. 98 - Ellipses, write eqns from given informationObj. 100 - Hyperbolas, write eqns from given informationObj. 101 - Hyperbolas, find vertices, asymptotes, & foci

WY MA11.3 - Students use a variety of tools and techniques of measurement in a problem-solving situation.WY MA11.3.1 - Students apply estimation and measurement using the appropriate methods and units to solve problems involving length, weight/mass, area, surface area, volume, and angle measure.WY MA11.3.2 - Students demonstrate an understanding of both metric and U. S. customary systems. Students are able to convert within each system.WY MA11.3.3 - Students identify and apply scale, ratios, and proportions in solving measurement problems.



Topic 5 - Applications in Trigonometry

Obj. 73 - WP: Right triangles

Obj. 74 - Law of SinesObj. 75 - Law of Sines (ambiguous case)


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Obj. 76 - Law of CosinesObj. 77 - Find areas of non-right triangles



Obj. 4 - Solve linear equations

Obj. 6 - Solve absolute value eqns with 1-variableObj. 7 - Solve linear inequalities with 1-variableObj. 8 - Solve absolute value inequalitiesObj. 9 - Solve polynomial inequalities

Obj. 10 - Solve inequalities with rational expressionsObj. 11 - Solve quad eqns, square root ruleObj. 12 - Solve quad eqns, factor (real roots)Obj. 13 - Solve quad eqns, quadratic formulaObj. 14 - Solve high degree eqns in quad formObj. 18 - Add, subtract, multiply, & divide functionsObj. 19 - Determine if functions are one-to-oneObj. 20 - Find compositions of 2 functionsObj. 21 - Find inverses of functionsObj. 27 - Simplify expressions w/ rational exponentsObj. 28 - Factor expressions w/ rational exponentsObj. 29 - Simplify radical expressions

Obj. 30 - Solve radical equationsObj. 31 - Solve eqns w/ neg or frac exponents in quad formObj. 32 - Simplify, multiply, & divide rational expressionsObj. 33 - Solve rational equations

Topic 2 - Polynomials Obj. 36 - Graph quadratic functions

Obj. 38 - Factor 4th-degree polynomialsObj. 40 - Remainder TheoremObj. 41 - Factor Theorem


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Obj. 42 - Descartes' Rule of SignsObj. 43 - Rational Zeros TheoremObj. 44 - Intermediate Value TheoremObj. 45 - Upper & Lower Bounds TestObj. 49 - Find zeros of polynomials


Obj. 53 - Find logs by converting to exponential formObj. 55 - Graph exponential functions

Obj. 56 - Graph log functionsObj. 58 - Solve log equationsObj. 59 - Solve exponential equations

Topic 7 - Conic Sections Obj. 91 - Parabolas, graph given equationsObj. 93 - Parabolas, graph inequalitiesObj. 96 - Circle, graph given equationsObj. 99 - Ellipses, graph given equationsObj. 102 - Hyperbola, graph given equationsObj. 103 - Hyperbolas, graph inequalitiesObj. 104 - Identify conics from equationsObj. 106 - Solve systems of second-degree equationsObj. 107 - Solve systems of second-degree inequalities


Obj. 118 - Find partial fraction decompositionsObj. 119 - Solve systems of linear inequalitiesObj. 120 - Max & min functions w/ constraints

Topic 9 - Sequences and Series Obj. 123 - Find terms of arith seq (1st-term & common diff)Obj. 124 - Find specified term of arithmetic sequenceObj. 125 - Find terms of arith seq (formula for nth term)Obj. 126 - WP: Arithmetic sequences

Obj. 127 - Find sums of arithmetic seriesObj. 128 - Write arith series in sigma notation


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Obj. 130 - Find terms of geo seq (1st term & common ratio)Obj. 131 - Find terms of geo seq given first termsObj. 132 - WP: Geometric sequencesObj. 133 - Find sums of finite geometric seriesObj. 134 - Find sums of infinite geometric seriesObj. 135 - Evaluate geometric series in sigma notationObj. 136 - WP: Geometric series



Obj. 5 - WP: Linear Equations

Obj. 15 - WP: Quadratic equationsObj. 34 - WP: Rational equations

Topic 2 - Polynomials Obj. 37 - WP: Quadratic functionsTopic 3 - Exponential and Logarithmic Functions

Obj. 57 - WP: Exponential functions

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

Topic 7 - Conic Sections Obj. 105 - WP: Conic sectionsTopic 8 - Systems of Linear Equations and Inequalities

Obj. 121 - Solve linear programming problems

Topic 11 - Vectors Obj. 162 - WP: Navigational problems w/ vectors



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

Obj. 13 - Solve quad eqns, quadratic formulaObj. 16 - Domains & range, functions

Obj. 17 - Evaluate functions for given valuesObj. 23 - Graph rational functionsObj. 24 - Graph piecewise-defined functionsObj. 25 - Solve direct & indirect variation problemsObj. 26 - Solve joint & combined variation problems

Topic 2 - Polynomials Obj. 36 - Graph quadratic functions

Obj. 48 - Write polynomial functions given specific zeros


Obj. 50 - Evaluate expressions w/ log exponents


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Obj. 51 - Exponential equations to log formObj. 52 - Log equations to exponential form

Topic 7 - Conic Sections Obj. 91 - Parabolas, graph given equationsObj. 92 - Parabolas, write eqns from given informationObj. 93 - Parabolas, graph inequalitiesObj. 97 - Ellipses, find centers, vertices, & fociObj. 98 - Ellipses, write eqns from given informationObj. 100 - Hyperbolas, write eqns from given informationObj. 101 - Hyperbolas, find vertices, asymptotes, & foci


Obj. 121 - Solve linear programming problems



Obj. 2 - Graph lines

WY MA11.4.4 - Students solve, graph, or interpret systems of linear equations.WY MA11.4.5 - Students connect algebra with other mathematical topics.


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


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


Obj. 69 - Apply sum & diff formula for sin & cosObj. 70 - Apply double-angle formulas for sin & cosObj. 71 - Apply product-sum formulas

Obj. 72 - Verify trig identitiesTopic 5 - Applications in Trigonometry

Obj. 79 - Solve trig equations

Obj. 80 - Solve eqns involving inverse trig functions

Topic 6 - Polar Coordinates Obj. 83 - Rectangular equations to polar formObj. 84 - Polar equations to rectangular formObj. 85 - Graph polar equations


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WY MA11.5 - Students use data analysis and probability to analyze given situations and the results of experiments.

Topic 10 - Probability Obj. 137 - Fundamental Counting Principle

Obj. 140 - WP: PermutationsObj. 141 - Find number of distinct arrangements of lettersObj. 143 - WP: CombinationsObj. 145 - Probability of independent eventsObj. 146 - Conditional probabilityObj. 149 - Convert odds to probability

Obj. 150 - Find expected valueWY MA11.5.1 - Students apply knowledge of mean, median, mode, and range to interpret and evaluate information and data.WY MA11.5.2 - Students draw reasonable inferences from statistical data and/or correlation/best fit line to predict outcomes.

WY MA11.5.3 - Students communicate about the likelihood of events using concepts from probability.WY MA11.5.3.a - Students communicate about the likelihood of events using concepts from probability. sample spaceWY MA11.5.3.b - Students communicate about the likelihood of events using concepts from probability. evaluate simple probabilities

Topic 10 - Probability Obj. 144 - Probability of single events

Obj. 145 - Probability of independent eventsObj. 146 - Conditional probabilityObj. 147 - Probability of dependent eventsObj. 148 - Probability of mutually exclusive events



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Documents

Wyoming State Standards Alignment Grades One through Elevendoc.renlearn.com/KMNet/R004263021GHF6E6.pdf · operations in a problem-solving situation. WY MA2.2 - Students apply geometric