Common Core Math Standards
1st Grade
Operations and Algebraic Thinking
Chapter 1: Addition and Subtraction Situations
- 1.1Addition: Add To
- 1.2Solve Add To Problems
- 1.3Solve Put Together Problems
- 1.4Solve Put Together Problems with Both Addends Unknown
- 1.5Solve Take From Problems
- 1.6Solve Compare Problems: More
- 1.7Solve Compare Problems: Fewer
- 1.8Solve Add To Problems with Change Unknown
- 1.9Connect Put Together and Take Apart Problems
Chapter 2: Fluency and Strategies within 10
- 2.1Add 0
- 2.2Subtract 0 and Subtract All
- 2.3Add and Subtract 1
- 2.4Add Doubles from 1 to 5
- 2.5Use Doubles
- 2.6Add in Any Order
- 2.7Count On to Add
- 2.8Count Back to Subtract
- 2.9Use Addition to Subtract
Chapter 3: More Addition and Subtraction Situations
- 3.1Solve Add To Problems with Start Unknown
- 3.2Solve Take From Problems with Change Unknown
- 3.3Solve Take From Problems with Start Unknown
- 3.4Compare Problems: Bigger Unknown
- 3.5Compare Problems: Smaller Unknown
- 3.6True or False Equations
- 3.7Find Numbers That Make 10
- 3.8Fact Families
Chapter 4: Add Numbers within 20
- 4.1Add Doubles from 6 to 10
- 4.2Use Doubles within 20
- 4.3Count On to Add within 20
- 4.4Add Three Numbers
- 4.5Add Three Numbers by Making a 10
- 4.6Add 9
- 4.7Make a 10 to Add
- 4.8Problem Solving: Addition within 20
Chapter 5: Subtract Numbers within 20
- 5.1Count Back to Subtract within 20
- 5.2Use Addition to Subtract within 20
- 5.3Subtract 9
- 5.4Get to 10 to Subtract
- 5.5More True or False Equations
- 5.6Make True Equations
- 5.7Problem Solving: Subtraction within 20
Number and Operations in Base Ten
Chapter 6: Count and Write Numbers to 120
- 6.1Count to 120 by Ones
- 6.2Count to 120 by Tens
- 6.3Compose Numbers 11 to 19
- 6.4Tens
- 6.5Tens and Ones
- 6.6Make Quick Sketches
- 6.7Understand Place Value
- 6.8Write Numbers in Different Ways
- 6.9Count and Write Numbers to 120
Chapter 7: Compare Two-Digit Numbers
- 7.1Compare Numbers 11 to 19
- 7.2Compare Numbers
- 7.3Compare Numbers Using Place Value
- 7.4Compare Numbers Using Symbols
- 7.5Compare Numbers Using a Number Line
- 7.61 More, 1 Less; 10 More, 10 Less
Chapter 8: Add and Subtract Tens
- 8.1Mental Math: 10 More
- 8.2Mental Math: 10 Less
- 8.3Add Tens
- 8.4Add Tens Using a Number Line
- 8.5Subtract Tens
- 8.6Subtract Tens Using a Number Line
- 8.7Use Addition to Subtract Tens
- 8.8Add Tens to a Number
Chapter 9: Add Two-Digit Numbers
- 9.1Add Tens and Ones
- 9.2Add Tens and Ones Using a Number Line
- 9.3Make a 10 to Add
- 9.4Add Two-Digit Numbers
- 9.5Practice Addition Strategies
- 9.6Problem Solving: Addition
Measurement and Data
Chapter 10: Measure and Compare Lengths
- 10.1Order Objects by Length
- 10.2Compare Lengths Indirectly
- 10.3Measure Lengths
- 10.4Measure More Lengths
- 10.5Solve Compare Problems Involving Length
Chapter 11: Represent and Interpret Data
- 11.1Sort and Organize Data
- 11.2Read and Interpret Picture Graphs
- 11.3Read and Interpret Bar Graphs
- 11.4Represent Data
- 11.5Solve Problems Involving Data
Chapter 12: Tell Time
- 12.1Tell Time to the Hour
- 12.2Tell Time to the Half Hour
- 12.3Tell Time to the Hour and Half Hour
- 12.4Tell Time Using Analog and Digital Clocks
Geometry
Chapter 13: Two- and Three-Dimensional Shapes
- 13.1Sort Two-Dimensional Shapes
- 13.2Describe Two-Dimensional Shapes
- 13.3Combine Two-Dimensional Shapes
- 13.4Create More Shapes
- 13.5Take Apart Two-Dimensional Shapes
- 13.6Sort Three-Dimensional Shapes
- 13.7Describe Three-Dimensional Shapes
- 13.8Combine Three-Dimensional Shapes
- 13.9Take Apart Three-Dimensional Shapes
Chapter 14: Equal Shares
- 14.1Equal Shares
- 14.2Partition Shapes into Halves
- 14.3Partition Shapes into Fourths
2nd Grade
Operations and Algebraic Thinking
Chapter 1: Numbers and Arrays
- 1.1Even and Odd Numbers
- 1.2Model Even and Odd Numbers
- 1.3Equal Groups
- 1.4Use Arrays
- 1.5Make Arrays
Chapter 2: Fluency and Strategies within 20
- 2.1Add in Any Order
- 2.2Use Doubles
- 2.3Add Three Numbers
- 2.4Make a 10 to Add
- 2.5Count On and Count Back to Subtract
- 2.6Relate Addition and Subtraction
- 2.7Get to 10 to Subtract
- 2.8Practice Addition and Subtraction
- 2.9Problem Solving: Addition and Subtraction
Number and Operations in Base Ten
Chapter 3: Addition to 100 Strategies
- 3.1Add Tens Using a Number Line
- 3.2Add Tens and Ones Using a Number Line
- 3.3Use Place Value to Add
- 3.4Decompose to Add Tens and Ones
- 3.5Use Compensation to Add
- 3.6Practice Addition Strategies
- 3.7Problem Solving: Addition
Chapter 4: Fluently Add within 100
- 4.1Use Partial Sums to Add
- 4.2More Partial Sums
- 4.3Regroup to Add
- 4.4Add Two-Digit Numbers
- 4.5Practice Adding Two-Digit Numbers
- 4.6Add Up to 3 Two-Digit Numbers
- 4.7More Problem Solving: Addition
Chapter 5: Subtraction to 100 Strategies
- 5.1Subtract Tens Using a Number Line
- 5.2Subtract Tens and Ones Using a Number Line
- 5.3Use Addition to Subtract
- 5.4Decompose to Subtract
- 5.5Decompose to Subtract Tens and Ones
- 5.6Use Compensation to Subtract
- 5.7Practice Subtraction Strategies
- 5.8Problem Solving: Subtraction
Chapter 6: Fluently Subtract within 100
- 6.1Model and Regroup to Subtract
- 6.2Use Models to Subtract a One-Digit Number from a Two-Digit Number
- 6.3Use Models to Subtract Two-Digit Numbers
- 6.4Subtract from a Two-Digit Number
- 6.5Use Addition to Check Subtraction
- 6.6Practice Two-Digit Subtraction
- 6.7More Problem Solving: Subtraction
Chapter 7: Understand Place Value to 1,000
- 7.1Hundreds
- 7.2Model Numbers to 1,000
- 7.3Understand Place Value
- 7.4Write Three-Digit Numbers
- 7.5Represent Numbers in Different Ways
Chapter 8: Count and Compare Numbers to 1,000
- 8.1Count to 120 in Different Ways
- 8.2Count to 1,000 in Different Ways
- 8.3Place Value Patterns
- 8.4Find More or Less
- 8.5Compare Numbers Using Symbols
- 8.6Compare Numbers Using a Number Line
Chapter 9: Add Numbers within 1,000
- 9.1Add 10 and 100
- 9.2Use a Number Line to Add Hundreds and Tens
- 9.3Use a Number Line to Add Three-Digit Numbers
- 9.4Use Compensation to Add Three-Digit Numbers
- 9.5Use Partial Sums to Add Three-Digit Numbers
- 9.6Use Models to Add Three-Digit Numbers
- 9.7Add Three-Digit Numbers
- 9.8Add Up to 4 Two-Digit Numbers
- 9.9Explain Addition Strategies
Chapter 10: Subtract Numbers within 1,000
- 10.1Subtract 10 and 100
- 10.2Use a Number Line to Subtract Hundreds and Tens
- 10.3Use a Number Line to Subtract Three-Digit Numbers
- 10.4Use Compensation to Subtract Three-Digit Numbers
- 10.5Use Models to Subtract Three-Digit Numbers
- 10.6Subtract Three-Digit Numbers
- 10.7Subtract from Numbers That Contain Zeros
- 10.8Use Addition to Subtract
- 10.9Explain Subtraction Strategies
Measurement and Data
Chapter 11: Measure and Estimate Lengths
- 11.1Measure Lengths in Centimeters
- 11.2Measure Objects Using Metric Length Units
- 11.3Estimate Lengths in Metric Units
- 11.4Measure Lengths in Inches
- 11.5Measure Objects Using Customary Length Units
- 11.6Estimate Lengths in Customary Units
- 11.7Measure Objects Using Different Length Units
- 11.8Measure and Compare Lengths
Chapter 12: Solve Length Problems
- 12.1Use a Number Line to Add and Subtract Lengths
- 12.2Problem Solving: Length
- 12.3Problem Solving: Missing Measurement
- 12.4Practice Measurement Problems
Chapter 13: Represent and Interpret Data
- 13.1Sort and Organize Data
- 13.2Read and Interpret Picture Graphs
- 13.3Make Picture Graphs
- 13.4Read and Interpret Bar Graphs
- 13.5Make Bar Graphs
- 13.6Make Line Plots
- 13.7Measure Objects and Make Line Plots
Chapter 14: Money and Time
- 14.1Find Total Values of Coins
- 14.2Order to Find Total Values of Coins
- 14.3Show Money Amounts in Different Ways
- 14.4Make One Dollar
- 14.5Make Change from One Dollar
- 14.6Find Total Values of Bills
- 14.7Problem Solving: Money
- 14.8Tell Time to the Nearest Five Minutes
- 14.9Tell Time Before and After the Hour
- 14.10Relate A.M. and P.M.
Geometry
Chapter 15: Identify and Partition Shapes
- 15.1Describe Two-Dimensional Shapes
- 15.2Identify Angles of Polygons
- 15.3Draw Polygons
- 15.4Identify and Draw Cubes
- 15.5Compose Rectangles
- 15.6Identify Two, Three, or Four Equal Shares
- 15.7Partition Shapes into Equal Shares
- 15.8Analyze Equal Shares of the Same Shape
3rd Grade
Operations and Algebraic Thinking
Chapter 1: Understand Multiplication and Division
- 1.1Use Equal Groups to Multiply
- 1.2Use Number Lines to Multiply
- 1.3Use Arrays to Multiply
- 1.4Multiply in Any Order
- 1.5Divide: Size of Equal Groups
- 1.6Divide: Number of Equal Groups
- 1.7Use Number Lines to Divide
Chapter 2: Multiplication Facts and Strategies
- 2.1Multiply by 2
- 2.2Multiply by 5
- 2.3Multiply by 10
- 2.4Multiply by 0 or 1
- 2.5Use the Distributive Property
- 2.6Problem Solving: Multiplication
Chapter 3: More Multiplication Facts and Strategies
- 3.1Multiply by 3
- 3.2Multiply by 4
- 3.3Multiply by 6
- 3.4Multiply by 7
- 3.5Multiply by 8
- 3.6Multiply by 9
- 3.7Practice Multiplication Strategies
- 3.8Multiply Three Factors
- 3.9More Problem Solving: Multiplication
Chapter 4: Division Facts and Strategies
- 4.1Use Arrays to Divide
- 4.2Relate Multiplication and Division
- 4.3Divide by 2, 5, or 10
- 4.4Divide by 3 or 4
- 4.5Divide by 6 or 7
- 4.6Divide by 8 or 9
- 4.7Divide by 0 or 1
- 4.8Practice Division Strategies
- 4.9Problem Solving: Division
Chapter 5: Patterns and Fluency
- 5.1Identify Patterns in the Multiplication Table
- 5.2Use the Multiplication Table
- 5.3Complete Multiplication Tables
- 5.4More Problem Solving
Number and Operations in Base Ten
Chapter 7: Round and Estimate Numbers
- 7.1Place Value
- 7.2Round Numbers Using a Number Line
- 7.3Round Numbers Using Place Value
- 7.4Estimate Sums
- 7.5Estimate Differences
Chapter 8: Add and Subtract Multi-Digit Numbers
- 8.1Identify Addition Properties
- 8.2Use Number Lines to Add
- 8.3Use Mental Math to Add
- 8.4Use Partial Sums to Add
- 8.5Add Three-Digit Numbers
- 8.6Add Three or More Numbers
- 8.7Use Number Lines to Subtract
- 8.8Use Mental Math to Subtract
- 8.9Subtract Three-Digit Numbers
- 8.10Relate Addition and Subtraction
- 8.11Problem Solving: Addition and Subtraction
Chapter 9: Multiples and Problem Solving
- 9.1Use Number Lines to Multiply by Multiples of 10
- 9.2Use Place Value to Multiply by Multiples of 10
- 9.3Use Properties to Multiply by Multiples of 10
- 9.4Problem Solving: Multiplication and Division
- 9.5Problem Solving: All Operations
Number and Operations—Fractions
Chapter 10: Understand Fractions
- 10.1Equal Parts of a Whole
- 10.2Understand a Unit Fraction
- 10.3Write Fractions of a Whole
- 10.4Fractions on a Number Line: Less Than 1
- 10.5Fractions on a Number Line: Greater Than 1
Chapter 11: Understand Fraction Equivalence and Comparison
- 11.1Equivalent Fractions
- 11.2Equivalent Fractions on a Number Line
- 11.3Relate Fractions and Whole Numbers
- 11.4Compare Fractions with the Same Denominator
- 11.5Compare Fractions with the Same Numerator
- 11.6Compare Fractions on a Number Line
- 11.7Compare Fractions
- 11.8Compare and Order Fractions
Measurement and Data
Chapter 6: Relate Area to Multiplication
- 6.1Understand Area
- 6.2Measure Area Using Standard Units
- 6.3Find Area by Multiplying
- 6.4Area and the Distributive Property
- 6.5Find Areas of More Shapes
Chapter 12: Understand Time, Liquid Volume, and Mass
- 12.1Time to the Nearest Minute
- 12.2Measure Elapsed Time within the Hour
- 12.3Measure Elapsed Time Across the Hour
- 12.4Problem Solving: Time Interval Problems
- 12.5Understand and Estimate Liquid Volume
- 12.6Measure Liquid Volume
- 12.7Understand and Estimate Mass
- 12.8Measure Mass
Chapter 14: Represent and Interpret Data
- 14.1Read and Interpret Picture Graphs
- 14.2Make Picture Graphs
- 14.3Read and Interpret Bar Graphs
- 14.4Make Bar Graphs
- 14.5Make Line Plots
- 14.6Measure Lengths: Half Inch
- 14.7Measure Lengths: Quarter Inch
Chapter 15: Find Perimeter and Area
- 15.1Understand Perimeter
- 15.2Find Perimeters of Polygons
- 15.3Find Unknown Side Lengths
- 15.4Same Perimeter, Different Areas
- 15.5Same Area, Different Perimeters
Geometry
Chapter 13: Classify Two-Dimensional Shapes
- 13.1Identify Sides and Angles of Quadrilaterals
- 13.2Describe Quadrilaterals
- 13.3Classify Quadrilaterals
- 13.4Draw Quadrilaterals
4th Grade
Operations and Algebraic Thinking
Chapter 6: Factors, Multiples, and Patterns
- 6.1Understand Factors
- 6.2Factors and Divisibility
- 6.3Relate Factors and Multiples
- 6.4Identify Prime and Composite Numbers
- 6.5Number Patterns
- 6.6Shape Patterns
Number and Operations in Base Ten
Chapter 1: Place Value Concepts
- 1.1Understand Place Value
- 1.2Read and Write Multi-Digit Numbers
- 1.3Compare Multi-Digit Numbers
- 1.4Round Multi-Digit Numbers
Chapter 2: Add and Subtract Multi-Digit Numbers
- 2.1Estimate Sums and Differences
- 2.2Add Multi-Digit Numbers
- 2.3Subtract Multi-Digit Numbers
- 2.4Use Strategies to Add and Subtract
- 2.5Problem Solving: Addition and Subtraction
Chapter 3: Multiply by One-Digit Numbers
- 3.1Understand Multiplicative Comparisons
- 3.2Multiply Tens, Hundreds, and Thousands
- 3.3Estimate Products by Rounding
- 3.4Use the Distributive Property to Multiply
- 3.5Use Expanded Form to Multiply
- 3.6Use Partial Products to Multiply
- 3.7Multiply Two-Digit Numbers by One-Digit Numbers
- 3.8Multiply Three- and Four-Digit Numbers by One-Digit Numbers
- 3.9Use Properties to Multiply
- 3.10Problem Solving: Multiplication
Chapter 4: Multiply by Two-Digit Numbers
- 4.1Multiply by Tens
- 4.2Estimate Products
- 4.3Use Area Models to Multiply Two-Digit Numbers
- 4.4Use the Distributive Property to Multiply Two-Digit Numbers
- 4.5Use Partial Products to Multiply Two-Digit Numbers
- 4.6Multiply Two-Digit Numbers
- 4.7Practice Multiplication Strategies
- 4.8Problem Solving: Multiplication with Two-Digit Numbers
Chapter 5: Divide Multi-Digit Numbers by One-Digit Numbers
- 5.1Divide Tens, Hundreds, and Thousands
- 5.2Estimate Quotients
- 5.3Understand Division and Remainders
- 5.4Use Partial Quotients
- 5.5Use Partial Quotients with a Remainder
- 5.6Divide Two-Digit Numbers by One-Digit Numbers
- 5.7Divide Multi-Digit Numbers by One-Digit Numbers
- 5.8Divide by One-Digit Numbers
- 5.9Problem Solving: Division
Number and Operations—Fractions
Chapter 7: Understand Fraction Equivalence and Comparison
- 7.1Model Equivalent Fractions
- 7.2Generate Equivalent Fractions by Multiplying
- 7.3Generate Equivalent Fractions by Dividing
- 7.4Compare Fractions Using Benchmarks
- 7.5Compare Fractions
Chapter 8: Add and Subtract Fractions
- 8.1Use Models to Add Fractions
- 8.2Decompose Fractions
- 8.3Add Fractions with Like Denominators
- 8.4Use Models to Subtract Fractions
- 8.5Subtract Fractions with Like Denominators
- 8.6Model Fractions and Mixed Numbers
- 8.7Add Mixed Numbers
- 8.8Subtract Mixed Numbers
- 8.9Problem Solving: Fractions
Chapter 9: Multiply Whole Numbers and Fractions
- 9.1Understand Multiples of Unit Fractions
- 9.2Understand Multiples of Fractions
- 9.3Multiply Whole Numbers and Fractions
- 9.4Multiply Whole Numbers and Mixed Numbers
- 9.5Problem Solving: Fraction Operations
Chapter 10: Relate Fractions and Decimals
- 10.1Understand Tenths
- 10.2Understand Hundredths
- 10.3Fractions and Decimals
- 10.4Compare Decimals
- 10.5Add Decimal Fractions and Decimals
- 10.6Fractions, Decimals, and Money
- 10.7Operations with Money
Measurement and Data
Chapter 11: Understand Measurement Equivalence
- 11.1Length in Metric Units
- 11.2Mass and Capacity in Metric Units
- 11.3Length in Customary Units
- 11.4Weight in Customary Units
- 11.5Capacity in Customary Units
- 11.6Make and Interpret Line Plots
- 11.7Units of Time
- 11.8Problem Solving: Elapsed Time
- 11.9Mixed Measures
Chapter 12: Use Perimeter and Area Formulas
- 12.1Perimeter Formula for a Rectangle
- 12.2Area Formula for a Rectangle
- 12.3Find Unknown Measures
- 12.4Problem Solving: Perimeter and Area
Geometry
Chapter 13: Identify and Draw Lines and Angles
- 13.1Points, Lines, and Rays
- 13.2Identify and Draw Angles
- 13.3Identify Parallel and Perpendicular Lines
- 13.4Understand Degrees
- 13.5Find Angle Measures
- 13.6Measure and Draw Angles
- 13.7Add Angle Measures
- 13.8Find Unknown Angle Measures
Chapter 14: Identify Symmetry and Two-Dimensional Shapes
- 14.1Line Symmetry
- 14.2Draw Symmetric Shapes
- 14.3Classify Triangles by Sides
- 14.4Classify Triangles by Angles
- 14.5Classify Quadrilaterals
5th Grade
Operations and Algebraic Thinking
Chapter 2: Numerical Expressions
- 2.1Number Properties
- 2.2Order of Operations
- 2.3Write Numerical Expressions
- 2.4Evaluate Expressions with Grouping Symbols
Number and Operations in Base Ten
Chapter 1: Place Value Concepts
- 1.1Place Value Patterns
- 1.2Place Value with Whole Numbers
- 1.3Patterns and Powers of 10
- 1.4Decimals to Thousandths
- 1.5Place Value with Decimals
- 1.6Compare Decimals
- 1.7Round Decimals
Chapter 3: Add and Subtract Decimals
- 3.1Estimate Sums and Differences
- 3.2Use Models to Add or Subtract Decimals
- 3.3Add Decimals
- 3.4Subtract Decimals
- 3.5Add and Subtract Decimals
- 3.6Use Mental Math to Add or Subtract Decimals
- 3.7Problem Solving: Money
Chapter 4: Multiply Whole Numbers
- 4.1Multiplication Patterns
- 4.2Estimate Products
- 4.3Multiply by One-Digit Numbers
- 4.4Multiply by Two-Digit Numbers
- 4.5Multiply by Multi-Digit Whole Numbers
Chapter 5: Multiply Decimals
- 5.1Multiplication Patterns with Decimals
- 5.2Estimate Products of Decimals and Whole Numbers
- 5.3Use Models to Multiply Decimals and Whole Numbers
- 5.4Multiply Decimals and Whole Numbers
- 5.5Use Models to Multiply Decimals
- 5.6Use Partial Products to Multiply Decimals
- 5.7Use Strategies to Multiply Decimals
- 5.8Multiply Decimals
- 5.9Problem Solving: Multiply with Money
Chapter 6: Divide Whole Numbers
- 6.1Relate Multiplication and Division
- 6.2Division Patterns
- 6.3Estimate Quotients
- 6.4Divide by One-Digit Numbers
- 6.5Use Partial Quotients to Divide by Two-Digit Numbers
- 6.6Use Partial Quotients with a Remainder
- 6.7Divide Three-Digit Numbers by Two-Digit Numbers
- 6.8Divide Four-Digit Numbers by Two-Digit Numbers
- 6.9Problem Solving: Division
Chapter 7: Divide Decimals
- 7.1Division Patterns with Decimals
- 7.2Estimate Decimal Quotients
- 7.3Use Models to Divide Decimals by Whole Numbers
- 7.4Divide Decimals by One-Digit Numbers
- 7.5Divide Decimals by Two-Digit Numbers
- 7.6Use Models to Divide Decimals
- 7.7Divide Decimals
- 7.8Insert Zeros in the Dividend
- 7.9Problem Solving: Decimal Operations
Number and Operations—Fractions
Chapter 8: Add and Subtract Fractions
- 8.1Simplest Form
- 8.2Estimate Sums and Differences of Fractions
- 8.3Find Common Denominators
- 8.4Add Fractions with Unlike Denominators
- 8.5Subtract Fractions with Unlike Denominators
- 8.6Add Mixed Numbers
- 8.7Subtract Mixed Numbers
- 8.8Problem Solving: Fractions
Chapter 9: Multiply Fractions
- 9.1Multiply Whole Numbers by Fractions
- 9.2Use Models to Multiply Fractions by Whole Numbers
- 9.3Multiply Fractions and Whole Numbers
- 9.4Use Models to Multiply Fractions
- 9.5Multiply Fractions
- 9.6Find Areas of Rectangles
- 9.7Multiply Mixed Numbers
- 9.8Compare Factors and Products
Chapter 10: Divide Fractions
- 10.1Interpret Fractions as Division
- 10.2Mixed Numbers as Quotients
- 10.3Divide Whole Numbers by Unit Fractions
- 10.4Divide Unit Fractions by Whole Numbers
- 10.5Problem Solving: Fraction Division
Measurement and Data
Chapter 11: Convert and Display Units of Measure
- 11.1Length in Metric Units
- 11.2Mass and Capacity in Metric Units
- 11.3Length in Customary Units
- 11.4Weight in Customary Units
- 11.5Capacity in Customary Units
- 11.6Make and Interpret Line Plots
- 11.7Problem Solving: Measurement
Chapter 13: Understand Volume
- 13.1Understand the Concept of Volume
- 13.2Find Volumes of Right Rectangular Prisms
- 13.3Apply the Volume Formula
- 13.4Find Unknown Dimensions
- 13.5Find Volumes of Composite Figures
Geometry
Chapter 12: Patterns in the Coordinate Plane
- 12.1Plot Points in a Coordinate Plane
- 12.2Relate Points in a Coordinate Plane
- 12.3Draw Polygons in a Coordinate Plane
- 12.4Graph Data
- 12.5Make and Interpret Line Graphs
- 12.6Numerical Patterns
- 12.7Graph and Analyze Relationships
Chapter 14: Classify Two-Dimensional Shapes
- 14.1Classify Triangles
- 14.2Classify Quadrilaterals
- 14.3Relate Quadrilaterals
6th Grade
Ratios and Proportional Relationships
Chapter 3: Ratios and Rates
- 3.1Ratios
- 3.2Using Tape Diagrams
- 3.3Using Ratio Tables
- 3.4Graphing Ratio Relationships
- 3.5Rates and Unit Rates
- 3.6Converting Measures
Chapter 4: Percents
- 4.1Percents and Fractions
- 4.2Percents and Decimals
- 4.3Comparing and Ordering Fractions, Decimals, and Percents
- 4.4Solving Percent Problems
The Number System
Chapter 1: Numerical Expressions and Factors
- 1.1Powers and Exponents
- 1.2Order of Operations
- 1.3Prime Factorization
- 1.4Greatest Common Factor
- 1.5Least Common Multiple
Chapter 2: Fractions and Decimals
- 2.1Multiplying Fractions
- 2.2Dividing Fractions
- 2.3Dividing Mixed Numbers
- 2.4Adding and Subtracting Decimals
- 2.5Multiplying Decimals
- 2.6Dividing Whole Numbers
- 2.7Dividing Decimals
Chapter 8: Integers, Number Lines, and the Coordinate Plane
- 8.1Integers
- 8.2Comparing and Ordering Integers
- 8.3Rational Numbers
- 8.4Absolute Value
- 8.5The Coordinate Plane
- 8.6Polygons in the Coordinate Plane
- 8.7Writing and Graphing Inequalities
- 8.8Solving Inequalities
Expressions and Equations
Chapter 5: Algebraic Expressions and Properties
- 5.1Algebraic Expressions
- 5.2Writing Expressions
- 5.3Properties of Addition and Multiplication
- 5.4The Distributive Property
- 5.5Factoring Expressions
Chapter 6: Equations
- 6.1Writing Equations in One Variable
- 6.2Solving Equations Using Addition or Subtraction
- 6.3Solving Equations Using Multiplication or Division
- 6.4Writing Equations in Two Variables
Geometry
Chapter 7: Area, Surface Area, and Volume
- 7.1Areas of Parallelograms
- 7.2Areas of Triangles
- 7.3Areas of Trapezoids and Kites
- 7.4Three-Dimensional Figures
- 7.5Surface Areas of Prisms
- 7.6Surface Areas of Pyramids
- 7.7Volumes of Rectangular Prisms
Statistics and Probability
Chapter 9: Statistical Measures
- 9.1Introduction to Statistics
- 9.2Mean
- 9.3Measures of Center
- 9.4Measures of Variation
- 9.5Mean Absolute Deviation
Chapter 10: Data Displays
- 10.1Stem-and-Leaf Plots
- 10.2Histograms
- 10.3Shapes of Distributions
- 10.4Choosing Appropriate Measures
- 10.5Box-and-Whisker Plots
7th Grade
Ratios and Proportional Relationships
Chapter 5: Ratios and Proportions
- 5.1Ratios and Ratio Tables
- 5.2Rates and Unit Rates
- 5.3Identifying Proportional Relationships
- 5.4Writing and Solving Proportions
- 5.5Graphs of Proportional Relationships
- 5.6Scale Drawings
Chapter 6: Percents
- 6.1Fractions, Decimals, and Percents
- 6.2The Percent Proportion
- 6.3The Percent Equation
- 6.4Percents of Increase and Decrease
- 6.5Discounts and Markups
- 6.6Simple Interest
The Number System
Chapter 1: Adding and Subtracting Rational Numbers
- 1.1Rational Numbers
- 1.2Adding Integers
- 1.3Adding Rational Numbers
- 1.4Subtracting Integers
- 1.5Subtracting Rational Numbers
Chapter 2: Multiplying and Dividing Rational Numbers
- 2.1Multiplying Integers
- 2.2Dividing Integers
- 2.3Converting Between Fractions and Decimals
- 2.4Multiplying Rational Numbers
- 2.5Dividing Rational Numbers
Expressions and Equations
Chapter 3: Expressions
- 3.1Algebraic Expressions
- 3.2Adding and Subtracting Linear Expressions
- 3.3The Distributive Property
- 3.4Factoring Expressions
Chapter 4: Equations and Inequalities
- 4.1Solving Equations Using Addition or Subtraction
- 4.2Solving Equations Using Multiplication or Division
- 4.3Solving Two-Step Equations
- 4.4Writing and Graphing Inequalities
- 4.5Solving Inequalities Using Addition or Subtraction
- 4.6Solving Inequalities Using Multiplication or Division
- 4.7Solving Two-Step Inequalities
Geometry
Chapter 9: Geometric Shapes and Angles
- 9.1Circles and Circumference
- 9.2Areas of Circles
- 9.3Perimeters and Areas of Composite Figures
- 9.4Constructing Polygons
- 9.5Finding Unknown Angle Measures
Chapter 10: Surface Area and Volume
- 10.1Surface Areas of Prisms
- 10.2Surface Areas of Cylinders
- 10.3Surface Areas of Pyramids
- 10.4Volumes of Prisms
- 10.5Volumes of Pyramids
- 10.6Cross Sections of Three-Dimensional Figures
Statistics and Probability
Chapter 7: Probability
- 7.1Probability
- 7.2Experimental and Theoretical Probability
- 7.3Compound Events
- 7.4Simulations
Chapter 8: Statistics
- 8.1Samples and Populations
- 8.2Using Random Samples to Describe Populations
- 8.3Comparing Populations
- 8.4Using Random Samples to Compare Populations
8th Grade
The Number System
Chapter 9: Real Numbers and the Pythagorean Theorem
- 9.1Finding Square Roots
- 9.2The Pythagorean Theorem
- 9.3Finding Cube Roots
- 9.4Rational Numbers
- 9.5Irrational Numbers
- 9.6The Converse of the Pythagorean Theorem
Expressions and Equations
Chapter 1: Equations
- 1.1Solving Simple Equations
- 1.2Solving Multi-Step Equations
- 1.3Solving Equations with Variables on Both Sides
- 1.4Rewriting Equations and Formulas
Chapter 4: Graphing and Writing Linear Equations
- 4.1Graphing Linear Equations
- 4.2Slope of a Line
- 4.3Graphing Proportional Relationships
- 4.4Graphing Linear Equations in Slope-Intercept Form
- 4.5Graphing Linear Equations in Standard Form
- 4.6Writing Equations in Slope-Intercept Form
- 4.7Writing Equations in Point-Slope Form
Chapter 5: Systems of Linear Equations
- 5.1Solving Systems of Linear Equations by Graphing
- 5.2Solving Systems of Linear Equations by Substitution
- 5.3Solving Systems of Linear Equations by Elimination
- 5.4Solving Special Systems of Linear Equations
Chapter 8: Exponents and Scientific Notation
- 8.1Exponents
- 8.2Product of Powers Property
- 8.3Quotient of Powers Property
- 8.4Zero and Negative Exponents
- 8.5Estimating Quantities
- 8.6Scientific Notation
- 8.7Operations in Scientific Notation
Functions
Chapter 7: Functions
- 7.1Relations and Functions
- 7.2Representations of Functions
- 7.3Linear Functions
- 7.4Comparing Linear and Nonlinear Functions
- 7.5Analyzing and Sketching Graphs
Geometry
Chapter 2: Transformations
- 2.1Translations
- 2.2Reflections
- 2.3Rotations
- 2.4Congruent Figures
- 2.5Dilations
- 2.6Similar Figures
- 2.7Perimeters and Areas of Similar Figures
Chapter 3: Angles and Triangles
- 3.1Parallel Lines and Transversals
- 3.2Angles of Triangles
- 3.3Angles of Polygons
- 3.4Using Similar Triangles
Chapter 10: Volume and Similar Solids
- 10.1Volumes of Cylinders
- 10.2Volumes of Cones
- 10.3Volumes of Spheres
- 10.4Surface Areas and Volumes of Similar Solids
Statistics and Probability
Chapter 6: Data Analysis and Displays
- 6.1Scatter Plots
- 6.2Lines of Fit
- 6.3Two-Way Tables
- 6.4Choosing a Data Display