# Math

## Grade 2

Chapter 1: Counting through 100

- 1.1 Tens and Ones Counting Blocks
- 1.2 Comparing Numbers (>,<, =) within 100
- 1.3 Skip Counting by 2’s
- 1.4 Skip Counting by 5’s
- 1.5 Skip Counting by 10’s5
- 1.6 Even and Odd Numbers through 20
- 1.7 Even Numbers Expressed as a Summation of Two Equal Numbers

Chapter 2: Adding and Subtracting through 20

- 2.1 Adding through 5
- 2.2 Adding to 6,7, and 8
- 2.3 Adding to 9 and 10
- 2.4 Adding to 11, 12, and 13
- 2.5 Adding to 14, 15, and 16
- 2.6 Adding to 17, 18, 19 and 20
- 2.7 Even Numbers Expressed as a Summation of Two Equal Numbers
- 2.8 Adding Strategies: Making Tens to Add
- 2.9 Problem Solving: Addition One-Step Word Problems within 20
- 2.10 Problem Solving: One-Step Addition Word Problems with Unknowns in any Position
- 2.11 Subtracting from 0 to 5
- 2.12 Subtracting from 6, 7, and 8
- 2.13 Subtracting from 9 and 10
- 2.14 Subtracting from 11, 12, and 13
- 2.15 Subtracting from 14, 15 and 16
- 2.16 Subtracting from 17, 18, 19, and 20
- 2.17 Subtracting through 20 Review
- 2.18 Subtracting Strategies: Decomposing Tens to Subtract
- 2.19 Problem Solving: Subtraction One-Step Word Problems within 20
- 2.20 Problem Solving: One-Step Subtraction Word Problems with Unknowns in any

Position - 2.21 Problem Solving: Addition and Subtraction One-Step Word Problems within 20
- 2.22 Checking Addition with Subtraction
- 2.23 Checking Subtraction with Addition

Chapter 3: Adding and Subtracting 2-Digit Numbers without Renaming

- 3.1 Adding 1-Digit Numbers to 2-Digit Numbers without Renaming
- 3.2 Adding 2-Digit Numbers to 2-Digit Numbers without Renaming
- 3.3 Subtracting 1-Digit Numbers from 2-Digit Numbers without Renaming
- 3.4 Subtracting 2-Digit Numbers from 2-Digit Numbers without Renaming
- 3.5 Adding and Subtracting 2-Digit Numbers without Renaming Review
- 3.6 Problem Solving: Addition and Subtraction One-Step Word Problems without Renaming
- 3.7 Adding Three and Four Numbers without Renaming
- 3.8 Using Arrays and Corresponding Equations to Find the Total Number of a Group
- 3.9 Problem Solving: Adding and Subtracting Two-Step Word Problems without Renaming
- 3.10 Problem Solving: Explaining Solutions in Word Problems

Chapter 4: Adding and Subtracting 2-Digit Numbers with Renaming

- 4.1 Adding 1-Digit Numbers to 2-Digit Numbers with Renaming
- 4.2 Adding 2-Digit Numbers to 2-Digit Numbers with Renaming
- 4.3 Adding 2-Digit Numbers with Renaming Review
- 4.4 Subtracting 1-Digit Numbers from 2-Digit Numbers with Renaming
- 4.5 Subtracting 2-Digit Numbers from 2-Digit Numbers with Renaming
- 4.6 Subtracting 2-Digit Numbers with Renaming Review
- 4.7 Adding and Subtracting 2-Digit Numbers with Renaming Review
- 4.8 Determine the Location of a Point on a Number Line
- 4.9 Use a Number Line to Add and Subtract within 100
- 4.10 Problem Solving: One Step Word Problems with Adding and Subtracting
- 4.11 Problem Solving: Two-Step Word Problems with Adding and Subtracting
- 4.12 Problem Solving: Adding and Subtracting on a Number Line

Chapter 5: Counting through 1,000

- 5.1 Adding 1-Digit Numbers to 2-Digit Numbers with Renaming
- 5.2 Adding 2-Digit Numbers to 2-Digit Numbers with Renaming
- 5.3 Adding 2-Digit Numbers with Renaming Review
- 5.4 Subtracting 1-Digit Numbers from 2-Digit Numbers with Renaming
- 5.5 Subtracting 2-Digit Numbers from 2-Digit Numbers with Renaming
- 5.6 Subtracting 2-Digit Numbers with Renaming Review
- 5.7 Adding and Subtracting 2-Digit Numbers with Renaming Review
- 5.8 Determine the Location of a Point on a Number Line
- 5.9 Use a Number Line to Add and Subtract within 100
- 5.10 Problem Solving: One Step Word Problems with Adding and Subtracting

Chapter 6: Adding and Subtracting 3-Digit Numbers

- 6.1 Adding 2-Digit Numbers to 3-Digit Numbers
- 6.2 Adding 3-Digit Numbers to 3-Digit Numbers
- 6.3 Adding 3-Digit Numbers Review
- 6.4 Subtracting 2-Digit Numbers from 3-Digit Numbers
- 6.5 Subtracting 3-Digit Numbers from 3-Digit Numbers
- 6.6 Subtracting 3-Digit Numbers Review
- 6.7 Adding and Subtracting 3-Digit Numbers Review
- 6.8 Problem Solving: Word Problems with Adding and Subtracting

Chapter 7: Measuring Lengths

- 7.1 Measuring Length in Inches
- 7.2 Measuring Length in Feet
- 7.3 Measuring Length in Yards
- 7.4 Estimating Inches, Feet, and Yards
- 7.5 Measuring Length in Centimeters
- 7.6 Measuring Length in Meters
- 7.7 Estimating Centimeters and Meters
- 7.8 Estimating All Units of Measure
- 7.9 Determining Reasonable Units of Measure
- 7.10 Determine which Object is Longer or Shorter by Measuring
- 7.11 Measure the Same Object with Two Different Unit Measurements
- 7.12 Problem Solving: Use Addition and Subtraction to Solve Word Problems of Measure

Chapter 8: Interpreting Data with Bar Graphs

- 8.1 Using Measurement Data to Create a Line Plot
- 8.2 Creating a Picture Graph
- 8.3 Creating a Bar Graph
- 8.4 Reading Line Plots, Picture Graphs and Bar Graphs

Chapter 9: Geometry

- 9.1 Properties of Circles, Triangles, Quadrilaterals, Pentagons, Hexagons and Octagons
- 9.2 Counting the Number of Faces and Edges of Cubes and Boxes
- 9.3 Identifying Congruent Faces in Cubes and Boxes
- 9.4 Identifying Cubes and Boxes
- 9.5 Introduce the Idea of Area of a Rectangle by Partitioning Rectangles into Square Units
- 9.6 Drawing Triangles, Quadrilaterals, Pentagons and Hexagons
- 9.7 Drawing Rectangular Boxes and Cubes

Chapter 10: Parts of Wholes

- 10.1 Partitionning Circles and Rectangles into Equal Parts
- 10.2 Understanding One-Half as a Fraction
- 10.3 Understanding One-Fourth as a Fraction
- 10.4 Understanding One-Third as a Fraction
- 10.5 Understanding a Whole as a Fraction
- 10.6 Understanding Fractions Review
- 10.7 Understanding Equal Shares of a Whole

Chapter 11: Counting Money

- 11.1 Determining Amounts of Money with Pennies
- 11.2 Determining Amounts of Money with Nickels
- 11.3 Determining Amounts of Money with Dimes
- 11.4 Determining Amounts of Money with Quarters
- 11.5 Determining Amounts of Money with Dollars
- 11.6 Determining Amounts of Money with Different Coins and Dollars
- 11.7 Problem Solving: Word Problems with Money

Chapter 12: Telling Time

- 12.1 Telling Time to the Hour
- 12.2 Telling Time to the Half Hour
- 12.3 Telling Time to the Quarter Hour
- 12.4 Telling Time to Five Minutes
- 12.5 Telling Time to One Minute
- 12.6 Telling Time Review

## Grade 3

Chapter 1: Add and Subtract within 1,000

- 1.1 Addition without Renaming
- 1.2 Addition with Renaming
- 1.3 Subtraction without Renaming
- 1.4 Subtraction with Renaming
- 1.5 Addition and Subtraction Review
- 1.6 Problem Solving: Addition and Subtraction One-Step Word Problems
- 1.7 Problem Solving: Addition and Subtraction Multi-Step Word Problems

Chapter 2: Rounding

- 2.1 Rounding to the Nearest 10
- 2.2 Rounding to the Nearest 100
- 2.3 Rounding Review
- 2.4 Use Rounding to Estimate Addition
- 2.5 Use Rounding to Estimate Subtraction
- 2.6 Problem Solving: One-Step and Two-Step Estimating Word Problems

Chapter 3: Multiplication

- 3.1 Understanding Multiplication as a Set of Groups
- 3.2 Understanding Multiplication as a Multi-Step Addition Problem
- 3.3 Multiplying through 2 x 10
- 3.4 Multiplying through 3 x 10
- 3.5 Multiplying through 4 x 10
- 3.6 Multiplying through 5 x 10
- 3.7 Multiplying through 6 x 10
- 3.8 Multiplying through 7 x 10
- 3.9 Multiplying through 8 x 10
- 3.10 Multiplying through 9 x 10
- 3.11 Multiplying through 10 x 10
- 3.12 Multiplication Tables
- 3.13 Multiplication Review through 10 x 10
- 3.14 Multiplying One-Digit Whole Numbers by Multiples of 10
- 3.15 Understanding the Commutative Property of Multiplication
- 3.16 Understanding the Associative Property of Multiplication
- 3.17 Understanding the Distributive Property
- 3.18 Identifying Properties of Multiplication
- 3.19 Problem Solving: Multiplication Word Problems with Arrays
- 3.20 Problem Solving: Multiplication Word Problems with Equal Groups
- 3.21 Determining the Unknown Quantity in a Multiplication Problem

Chapter 4: Division

- 4.1 Understanding Division as the Quantity of an Individual Group
- 4.2 Dividing through 20 ÷ 2
- 4.3 Dividing through 30 ÷ 3
- 4.4 Dividing through 40 ÷ 4
- 4.5 Dividing through 50 ÷ 5
- 4.6 Dividing through 60 ÷ 6
- 4.7 Dividing through 70 ÷ 7
- 4.8 Dividing through 80 ÷ 8
- 4.9 Dividing through 90 ÷ 9
- 4.10 Dividing through 100 ÷ 10
- 4.11 Division Review through 100 ÷ 10
- 4.12 Problem Solving: Division Word Problems with Equal Groups
- 4.13 Determining the Unknown Quantity in a Division Problem
- 4.14 Understanding Division as an Unknown-Factor Problem

Chapter 5: The Four Basic Operations

- 5.1 Addition and Subtraction Mixed Review
- 5.2 Addition and Subtraction Fact Families
- 5.3 Multiplication and Division Mixed Review
- 5.4 Multiplication and Division Fact Families
- 5.5 Creating Patterns with Addition and Multiplication
- 5.6 Understanding when Sums and Products will be Even or Odd
- 5.7 Identify Addition and Subtraction Patterns
- 5.8 Identify Multiplication and Division Patterns
- 5.9 Identify Numerical Patterns Using the Four Operations
- 5.10 Problem Solving: Two Step-Word Problems using the Four Operations

Chapter 6: Fractions

- 6.1 Understanding Unit Fractions
- 6.2 Understanding Non-Unit Fractions as Multiple Unit Fractions
- 6.3 Understanding Mixed Number Fractions
- 6.4 Understanding Fractions as Parts of a Set
- 6.5 Locating a Unit Fraction on a Number Line
- 6.6 Locating a Non-Unit Fraction on a Number Line
- 6.7 Recognizing Fractions that are Equivalent to One
- 6.8 Recognizing Whole Numbers as Fractions
- 6.9 Understanding Equivalent Fractions in Diagrams
- 6.10 Creating Equivalent Fractions
- 6.11 Understanding Equivalent Fractions on Number Lines
- 6.12 Identifying Equivalent Fractions
- 6.13 Comparing Fractions ( >, <, =)
- 6.14 Ordering Fractions

Chapter 7: Measurement

- 7.1 Understanding Grams and Kilograms
- 7.2 Measuring Grams and Kilograms
- 7.3 Understanding Liters and Milliliters
- 7.4 Measuring Liters and Milliliters
- 7.5 Determining Correct Units of Measure
- 7.6 Problem Solving: Volume and Mass Word Problems with Multiplication and Division
- 7.7 Problem Solving: Measurement Word Problems with Scales
- 7.8 Measuring Lengths to Half-Units
- 7.9 Measuring Lengths to Quarter-Units
- 7.10 Creating Line Plots from Gathered Data

Chapter 8: Graphs

- 8.1 Creating Scaled Picture Graphs
- 8.2 Creating Scaled Bar Graphs
- 8.3 Problem Solving: Picture Graph and Bar Graph Word Problems

Chapter 9: Area and Perimeter

- 9.1 Understanding Area as Square Units
- 9.2 Find the Area of a Figure by Counting the Square Units
- 9.3 Find the Area of a Rectangle Using Images and Multiplication
- 9.4 Find Area by Adding Smaller Rectangular Areas
- 9.5 Understanding Area with the Distributive Property
- 9.6 Problem Solving: Word Problems with Area
- 9.7 Measuring Perimeter
- 9.8 Finding Missing Lengths of a Perimeter
- 9.9 Understanding that Different Figures can have the Same Perimeter
- 9.10 Understanding Congruent Areas and Perimeters in Rectangles
- 9.11 Problem Solving: Perimeter Word Problems

Chapter 10: Telling Time

- 10.1 Telling Time to the Nearest Minute
- 10.2 Problem Solving: Time Word Problems on a Number Line

Chapter 11: Geometry

- 11.1 Identify Triangles, Quadrilaterals, Pentagons, Hexagons and Octagons
- 11.2 Understanding Attributes of Quadrilaterals
- 11.3 Understanding Rhombuses, Rectangles and Squares
- 11.4 Identify Cubes, Rectangular Boxes, Cones, Cylinders, and Spheres
- 11.5 Dividing Shapes into Equal Areas
- 11.6 Problem Solving: Word Problems with Parts of Area

## Grade 4

Chapter 1: Numbers through the Millions Place

- 1.1 Identifying Place Values through the Millions Place
- 1.2 Expanded Form through the Millions Place
- 1.3 Understanding the Word Form of a Multi-Digit Number through 100
- 1.4 Understanding the Word Form of a Multi-Digit Number through the Millions Place
- 1.5 Identifying the Numerical Representation of a Written Form
- 1.6 Rounding through the Millions Place
- 1.7 Comparing Numbers through the Millions Place (>,<,=)
- 1.8 Ordering Numbers through the Millions Place
- 1.9 Using Place Value to Multiply and Divide by Powers of 10

Chapter 2: Adding and Subtracting

- 2.1 Addition and Subtraction through 3-Digit Numbers
- 2.2 Addition of 3 or More 3-Digit Numbers
- 2.3 Addition of 4-Digit Numbers
- 2.4 Addition of 3 or More 4-Digit Numbers
- 2.5 Addition of 4-Digit and 5-Digit Numbers
- 2.6 Addition Review
- 2.7 Subtraction of 4-Digit Numbers
- 2.8 Subtraction of 4-Digit and 5-Digit Numbers
- 2.9 Subtraction Review
- 2.10 Problem Solving: Multi-Step Addition and Subtraction Word Problems

Chapter 3: Multiplication

- 3.1 Multiplying within 100
- 3.2 Multiplying 2 Digits by 1 Digit
- 3.3 Multiplying 2 Digits by 1 Digit with Renaming
- 3.4 Multiplying 3 Digits by 1 Digit with Renaming
- 3.5 Multiplying 4 Digits by 1 Digit with Renaming
- 3.6 Multiplying 2 Digits by 2 Digits
- 3.7 Multiplying 2 Digits by 2 Digits with Renaming
- 3.8 Multiplication Review
- 3.9 Problem Solving: Word Problems with Arrays
- 3.1 Problem Solving: Area Word Problems
- 3.11 Creating Multiplication Sentences Based on Comparisons
- 3.12 Creating Comparisons Based on Multiplication Sentences
- 3.13 Problem Solving: Word Problems with Comparing
- 3.14 Problem Solving: Multi-Step Multiplication Word Problems

Chapter 4: Division

- 4.1 Dividing within 100 with Remainders
- 4.2 Dividing 2 Digit Numbers by 1 Digit Numbers
- 4.3 Dividing 3 Digit Numbers by 1 Digit Numbers
- 4.4 Dividing 4 Digit Numbers by 1 Digit Numbers
- 4.5 Division Review
- 4.6 Dividing by Multiples of 10 and 100 Using Place Value
- 4.7 Problem Solving: Word Problems with Division
- 4.8 Problem Solving: Area Word Problems
- 4.9 Problem Solving: Multi-Step Division Word Problems

Chapter 5: Factors and Multiples

- 5.1 Listing the Multiples of a Whole Number
- 5.2 Using a Multiplication Table to Find Multiples of a Whole Number
- 5.3 Finding Factor Pairs of a Whole Number
- 5.4 Differentiating Between Factors and Multiples
- 5.5 Determining Whether a Whole Number is Prime or Composite

Chapter 6: Fractions

- 6.1 Creating Equivalent Fractions
- 6.2 Finding the Least Common Multiple
- 6.3 Using the Least Common Multiple to Create Common Denominators
- 6.4 Comparing Fractions Using the LCM (>,<,=)
- 6.5 Comparing Fractions to One-Half (>,<,=)
- 6.6 Adding Fractions with Like Denominators
- 6.7 Decomposing Fractions into a Sum of Fractions
- 6.8 Subtracting Fractions with Like Denominators
- 6.9 Converting Improper Fractions and Mixed Numbers
- 6.10 Adding Mixed Number Fractions with Like Denominators
- 6.11 Adding Mixed Number Fractions with Renaming
- 6.12 Subtracting Mixed Number Fractions with Like Denominators
- 6.13 Subtracting Mixed Number Fractions with Renaming
- 6.14 Problem Solving: Addition and Subtraction Fraction Word Problems
- 6.15 Representing a/b as a x (1/b)
- 6.16 Understanding that n x (a/b) = (n x a)/b
- 6.17 Problem Solving: Word Problems Involving Multiplication of Fractions

Chapter 7: Relating Decimals and Fractions

- 7.1 Identifying Tenths and Hundredths Place Values
- 7.2 Writing Tenths as Fractions and Decimals
- 7.3 Locating Tenths on a Number Line
- 7.4 Writing Hundredths as Fractions and Decimals
- 7.5 Locating Hundredths on a Number Line
- 7.6 Express a Fraction with Denominator of 10 as a Fraction with a Denominator of 100
- 7.7 Adding Tenths and Hundredths
- 7.8 Comparing Decimals to the Hundredths (>,<,=)

Chapter 8: Measurement

- 8.1 Understanding the Relationships Between km, m, and cm
- 8.2 Recording Measurement Equivalences in a Table (km, m, and cm)
- 8.3 Understanding the Relationships Between in, ft, yd, and mi
- 8.4 Recording Measurement Equivalences in a Table (in, ft, yd, and mi)
- 8.5 Problem Solving: Word Problems of Area and Perimeter
- 8.6 Problem Solving: Word Problems of Distance
- 8.7 Understanding the Relationship Between lb and oz
- 8.8 Recording Measurement Equivalences in a Table (lb and oz)
- 8.9 Problem Solving: Word Problems of Mass
- 8.10 Understanding the Relationship Between L and mL
- 8.11 Recording Measurement Equivalences in a Table (L and mL)
- 8.12 Problem Solving: Word Problems of Volume
- 8.13 Understanding the Relationships Between sec, min, and hr
- 8.14 Recording Measurement Equivalences in a Table (sec, min and hr)
- 8.15 Problem Solving: Word Problems of Time
- 8.16 Creating Line Plots of Measure
- 8.17 Interpreting Information on a Line Plot

Chapter 9: Geometry

- 9.1 Identify Points, Lines, and Rays
- 9.2 Draw Points, Lines, and Rays
- 9.3 Understanding the Composition of an Angle
- 9.4 Understanding a One-Degree Angle in a Circle
- 9.5 Understanding 90°, 180°, and 360° Angles
- 9.6 Measuring Angles with a Protractor
- 9.7 Understanding n-Degrees in a Circle
- 9.8 Understanding that Adjacent Angles are Additive
- 9.9 Solving for Unknown Angles
- 9.10 Problem Solving: Word Problems with Angles
- 9.11 Identify Right, Acute, and Obtuse Angles
- 9.12 Draw Right, Acute and Obtuse Angles
- 9.13 Identify Parallel and Perpendicular Lines
- 9.14 Draw Parallel and Perpendicular Lines
- 9.15 Identify Types of Triangles by their Specific Attributes
- 9.16 Identify Types of Quadrilaterals by their Specific Attributes
- 9.17 Identify Bilateral Symmetry
- 9.18 Create a Line of Symmetry

Chapter 10: Patterns

- 10.1 Creating Numerical Patterns
- 10.2 Creating Shape Patterns

## Grade 5

Chapter 1: Multiplying Whole Numbers

- 1.1 Multiplying 1 Digit Numbers by Multi-Digit Numbers
- 1.2 Multiplying 2 Digit Numbers by 2 Digit Numbers
- 1.3 Multiplying 3 Digit Numbers by 2 Digit Numbers
- 1.4 Multiplying 4 Digit Numbers by 2 Digit Numbers
- 1.5 Multiplying 4 Digit Numbers by 3 Digit Numbers
- 1.6 Multiplication Review
- 1.7 Multiplying by Powers of Ten

Chapter 2: Dividing Whole Numbers

- 2.1 Dividing Multi-Digit Numbers by 1-Digit Numbers
- 2.2 Dividing 2 Digit Numbers by 2 Digit Numbers
- 2.3 Dividing 3 Digit Numbers by 2 Digit Numbers
- 2.4 Dividing 4 Digit Numbers by 2 Digit Numbers
- 2.5 Division Review
- 2.6 Dividing by Powers of Ten with Whole Number Answers

Chapter 3: Understanding Place Value

- 3.1 Understanding Place Value to the Thousandths
- 3.2 Recognizing the Numerical Relationship Between Place Values
- 3.3 Understanding Powers of Ten
- 3.4 Condensing Base Ten Numbers
- 3.5 Expanding Base Ten Numbers
- 3.6 Writing Decimals in Word Form
- 3.7 Expanded Form with Decimals
- 3.8 Comparing Decimals to the Thousandths (>,<,=)
- 3.9 Ordering Numbers with Decimals
- 3.10 Rounding Decimals to Whole Numbers
- 3.11 Rounding Decimals to Tenths and Hundredths

Chapter 4: Computing Decimals

- 4.1 Adding Decimals to the Tenths Place
- 4.2 Adding Decimals to the Hundredths Place
- 4.3 Subtracting Decimals to the Tenths Place
- 4.4 Subtracting Decimals to the Hundredths Place
- 4.5 Using Zero as a Place Holder to Add and Subtract Decimals
- 4.6 Adding and Subtracting Decimals Review
- 4.7 Problem Solving: Addition and Subtraction Word Problems with Decimals
- 4.8 Multiplying Decimals with Blocks
- 4.9 Multiplying Decimals Using Rules
- 4.10 Multiplying Decimals Review
- 4.11 Dividing Decimals with Blocks
- 4.12 Dividing Decimals Using Rules
- 4.13 Dividing Decimals Review
- 4.14 Multiplying and Dividing Decimals by Different Powers of Ten
- 4.15 Multiplying and Dividing Decimals by Powers of Ten Review
- 4.16 Problem Solving: Multiplication and Division Word Problems with Decimals

Chapter 5: Adding and Subtracting Fractions

- 5.1 Understanding Fraction Equivalence as Multiplying by 1
- 5.2 Adding Fractions with Unlike Denominators
- 5.3 Subtracting Fractions with Unlike Denominators
- 5.4 Adding Mixed Numbers with Unlike Denominators
- 5.5 Subtracting Mixed Numbers with Unlike Denominators
- 5.6 Adding and Subtracting Fractions with Unlike Denominators Review
- 5.7 Problem Solving: Addition and Subraction of Fractions Word Problems

Chapter 6: Multiplying and Dividing Fractions

- 6.1 Understanding that a/b is a ÷ b
- 6.2 Comparing Unit Fractions
- 6.3 Understanding that a/b x b = a
- 6.4 Problem Solving: Word Problems of Equal Shares of Wholes
- 6.5 Understanding Multiplication of Fractions
- 6.6 Multiplying Fractions by Whole Numbers
- 6.7 Multiplying Fractions by Fractions
- 6.8 Problem Solving: Word Problems of Comparison
- 6.9 Understanding when a Product of Fractions will be More Than or Less Than the Original Number
- 6.10 Problem Solving: Word Problems with Fractions
- 6.11 Dividing Unit Fractions by Whole Numbers Using Models
- 6.12 Understanding that 1/a ÷ b = 1/a x 1/b
- 6.13 Dividing Whole Numbers by Unit Fractions Using Models
- 6.14 Understanding that b ÷ 1/a = b x a
- 6.15 Problem Solving: Division of Fractions Word Problems
- 6.16 Understanding Fractional Area of Rectangles by Tiling Figures
- 6.17 Understanding the Formula for the Area of a Rectangle with Fractional Dimensions

Chapter 7: Measurement Concepts

- 7.1 Converting cm, m, and km with Decimals
- 7.2 Converting in, ft, and yds with Decimals
- 7.3 Converting L and mL with Decimals
- 7.4 Converting sec, min, and hr with Decimals
- 7.5 Creating Line Plots of Data
- 7.6 Interpreting Information on a Line Plot

Chapter 8: Area and Volume

- 8.1 Understanding Unit Cubes
- 8.2 Understanding Cubic Units
- 8.3 Counting Cubic Volume and Recording Results with Cubic Units
- 8.4 Discovering the Volume Formula
- 8.5 Using Volume Formulas to Find Volumes of Rectangular Prisms
- 8.6 Recognizing that Volume is Additive
- 8.7 Problem Solving: Word Problems of Volume

Chapter 9: Geometry

- 9.1 Classifying Subcategories of Shapes
- 9.2 Classifying Figures in a Hierarchy Based on Properties

Chapter 10: Graphing

- 10.1 Identifying Different Parts of the Coordinate System
- 10.2 Plotting (x,y) Coordinates on the Coordinate Plane
- 10.3 Problem Solving: Interpreting Word Problems on the Coordinate Plane

Chapter 11: Numerical Expressions

- 11.1 Computing Expressions Using the Order of Operations
- 11.2 Expressing the Meaning of Computations with Words
- 11.3 Expressing Words with Computational Sentences
- 11.4 Generate Numerical Patterns Using Two Given Rules
- 11.5 Graphing Ordered Pairs and Explaining the Pattern of the Ordered Pairs

## Grade 6

Chapter 1: Factors of a Number

- 1.1 Finding the Prime Factorization of a Number
- 1.2 Finding the GCF
- 1.3 Finding the LCM
- 1.4 Introduction to Factoring with Whole Numbers

Chapter 2: Negative Numbers and the Number Line

- 2.1 Understanding Negative Numbers
- 2.2 Moving Objects in Positive and Negative Directions on Number Lines
- 2.3 Understanding Negative Numbers as Opposites on a Number Line
- 2.4 Interpreting the Relationships Between Numbers on a Number Line
- 2.5 Interpret Inequalities in Real-World Contexts
- 2.6 Understanding Absolute Value as a Distance from Zero
- 2.7 Problem Solving: Word Problems with Absolute Value
- 2.8 Problem Solving: Word Problems with Comparisons of Absolute Value

Chapter 3: Computing Whole Numbers, Fractions, and Decimals

- 3.1 Dividing Multi-Digit Whole Numbers
- 3.2 Dividing Fractions and Whole Numbers
- 3.3 Dividing Fractions by Fractions Using Models
- 3.4 Using (a/b) ÷ (c/d) = ad/bc to Divide Fractions
- 3.5 Problem Solving: Division Word Problems with Fractions
- 3.6 Adding and Subtracting Decimals
- 3.7 Multiplying Decimals
- 3.8 Dividing Decimals
- 3.9 Computing Decimals Review

Chapter 4: Ratios, Rates, and Percents

- 4.1 Understanding a Ratio
- 4.2 Reducing Ratios
- 4.3 Understanding Ratios as Rates
- 4.4 Writing Rates as Unit Rates
- 4.5 Problem Solving: Word Problems with Ratios and Rates
- 4.6 Ratios and Rates on a Graph
- 4.7 Use Ratios to Convert Measurements
- 4.8 Problem Solving: Using Double Number Lines and Tape Diagrams to Solve Unit Rate Problems
- 4.9 Understanding Percent as a Rate per 100
- 4.10 Solving Percent Problems

Chapter 5: Algebraic Expressions

- 5.1 Understanding Whole Number Exponents
- 5.2 Computing Whole-Number Exponents
- 5.3 Identifying Parts of an Expression
- 5.4 Identifying Operations within Expressions
- 5.5 Writing Algebraic Expressions
- 5.6 Evaluating Algebraic Expressions at Specified Values
- 5.7 Problem Solving: Word Problems with Variables
- 5.8 Using the Distributive Property to Rewrite Expressions
- 5.9 Using Factoring to Rewrite Expressions
- 5.10 Combining Like Terms to Rewrite Expressions
- 5.11 Rewriting Expressions Review
- 5.12 Identifying Equivalent Expressions

Chapter 6: Equations and Inequalities

- 6.1 Determining if a Given Number is a Solution to an Equation or Inequality
- 6.2 Writing Expressions with Variables
- 6.3 Solving Linear Equations
- 6.4 Problem Solving: Word Problems with Linear Equations
- 6.5 Representing Inequalities on Number Lines
- 6.6 Problem Solving: Word Problems with Inequalities
- 6.7 Writing Equations with Dependent and Independent Variables
- 6.8 Identifying Dependent and Independent Variables

Chapter 7: The Coordinate Plane

- 7.1 Locating Numbers on Vertical and Horizontal Number Lines
- 7.2 Plotting Points on the Coordinate Plane
- 7.3 Identifying the Quadrant in Which a Point Lies
- 7.4 Understanding Symmetry of Positive and Negative Points on the Coordinate Plane
- 7.5 Problem Solving: Word Problems of Distance on the Coordinate Plane
- 7.6 Creating Polygons on the Coordinate Plane and Determining Side Lengths
- 7.7 Understanding Dependent and Independent Variables on a Graph

Chapter 8: Area of Polygons

- 8.1 Area of Triangles
- 8.2 Area of Parallelograms and Trapezoids
- 8.3 Area of Composite Figures
- 8.4 Problem Solving: Word Problems of Area

Chapter 9: Surface Area and Volume of Solids

- 9.1 Volume of Right Rectangular Prisms with Fractional Edges
- 9.2 Problem Solving: Word Problems of Volume
- 9.3 Identifying the Net of a Solid
- 9.4 Finding the Surface Area of Solids
- 9.5 Problem Solving: Word Problems of Surface Area

Chapter 10: Introduction to Statistics

- 10.1 Identifying Statistical Questions
- 10.2 Interpreting Sets of Data
- 10.3 Calculating Mean
- 10.4 Calculating Median
- 10.5 Calculating Mode
- 10.6 Mean, Median and Mode Review
- 10.7 Understanding When to Use Mean, Median or Mode
- 10.8 Computing the Range of a Set
- 10.9 Computing the Interquartile Range (IQR) of a Set
- 10.10 Computing Mean Absolute Deviation
- 10.11 Understanding the Difference Between Central Measures and Measures of Variation

Chapter 11: Statistical Graphs

- 11.1 Understanding How Data is Collected and Measured
- 11.2 Determining the Total Number of Data Points on Statistical Graphs
- 11.3 Creating Dot Plots
- 11.4 Reading Dot Plots
- 11.5 Creating Histograms
- 11.6 Reading Histograms
- 11.7 Creating Box Plots
- 11.8 Reading Box Plots
- 11.9 Interpreting Shapes of Statistical Graphs
- 11.10 Problem Solving: Interpreting Central Tendencies on a Statistical Graph

## Grade 7

Chapter 1: Adding and Subtracting Integers

- 1.1 Absolute Value Review
- 1.2 Finding the Additive Inverse
- 1.3 Combining Opposite Quantities to Make Zero
- 1.4 Interpreting Sums of Positive and Negative Numbers in Word Problems
- 1.5 Adding Integers with the Same Sign Using a Number Line
- 1.6 Adding Integers with Different Signs Using a Number Line
- 1.7 Identifying the Sign of the Sum of Two Integers
- 1.8 Adding Positive and Negative Integers
- 1.9 Adding Three or More Integers Using the Commutative and Associative Properties
- 1.10 Interpreting Differences of Positive and Negative Numbers in Word Problems
- 1.11 Subtracting Positive Integers Using a Number Line
- 1.12 Subtracting Positive Integers Using the Additive Inverse
- 1.13 Finding the Opposites of Negative Numbers on a Number Line
- 1.14 Subtracting Positive and Negative Integers Using the Additive Inverse
- 1.15 Subtracting Three or More Integers
- 1.16 Finding the Distance Between Two Integers Using a Number Line
- 1.17 Finding the Distance Between Two Integers Using Absolute Values
- 1.18 Problem Solving: Real-World Problems of Distance

Chapter 2: Multiplying and Dividing Integers

- 2.1 Properties of Multiplication Review
- 2.2 Interpreting Products of Positive and Negative Numbers in Word Problems
- 2.3 Multiplying Positive and Negative Integers Using Repeated Addition
- 2.4 Understanding the Sign of Products Using a Number Line
- 2.5 Identifying the Sign of a Product
- 2.6 Multiplying Two Integers
- 2.7 Multiplying Three or More Integers Using the Commutative and Associative Properties
- 2.8 Identifying Properties of Multiplication
- 2.9 Interpreting Quotients of Positive and Negative Numbers in Word Problems
- 2.10 Understanding the Sign of Quotients Using a Number Line
- 2.11 Identifying the Sign of a Quotient
- 2.12 Identifying the Sign of Quotients in Fraction Form
- 2.13 Dividing Positive and Negative Numbers
- 2.14 Dividing Two Integers
- 2.15 Dividing Three or More Integers
- 2.16 Problem Solving: Multiplying Integers in Real-World Problems
- 2.17 Problem Solving: Dividing Integers in Real-World Problems

Chapter 3: Operations with Rational Numbers

- 3.1 Creating Denominators with Powers of Ten to Convert Fractions to Decimals
- 3.2 Understanding Repeating and Terminating Decimals
- 3.3 Identifying Different Forms of Repeating Decimals
- 3.4 Converting Proper Fractions to Decimals Using Long Division
- 3.5 Converting Improper Fractions to Decimals Using Long Division
- 3.6 Converting Mixed Numbers to Decimals Using Long Division
- 3.7 Converting Fractions to Decimals Review
- 3.8 Adding Positive and Negative Fractions
- 3.9 Subtracting Positive and Negative Fractions
- 3.10 Adding and Subtracting Positive and Negative Mixed Numbers
- 3.11 Multiplying Positive and Negative Fractions
- 3.12 Dividing Positive and Negative Fractions
- 3.13 Multiplying and Dividing Positive and Negative Mixed Numbers
- 3.14 Adding Positive and Negative Decimals
- 3.15 Subtracting Positive and Negative Decimals
- 3.16 Multiplying Positive and Negative Decimals
- 3.17 Dividing Positive and Negative Decimals
- 3.18 Multi-Step Problems with Rational Numbers
- 3.19 Problem Solving: Real-World Problems Using the Four Operations with Rational Numbers

Chapter 4: Algebraic Expressions with Rational Coefficients

- 4.1 Representing Algebraic Expressions with Bar Models
- 4.2 Combining Like Terms with Bar Models
- 4.3 Combining Like Terms to Simplify Algebraic Expressions
- 4.4 Expanding Algebraic Expressions
- 4.5 Expanding and Simplifying Algebraic Expressions
- 4.6 Factoring Algebraic Expressions
- 4.7 Identifying Equivalent Algebraic Expressions
- 4.8 Problem Solving: Using Bar Models as an Arithmetic Approach to Solving Real-World Problems
- 4.9 Problem Solving: Writing and Evaluating Expressions Using Bar Models
- 4.10 Problem Solving: Writing and Evaluating Expressions Using Tables
- 4.11 Checking that an Answer is Reasonable Using Estimation

Chapter 5: Algebraic Equations and Word Problems

- 5.1 Solving One-Step Equations Review
- 5.2 Solving Two-Step Equations without Parentheses
- 5.3 Solving Two-Step Equations with Parentheses
- 5.4 Solving Equations with Fractions
- 5.5 Solving Equations with Decimals
- 5.6 Solving Multi-Step Equations
- 5.7 Identifying Properties Used to Solve Equations
- 5.8 Solving Multi-Variable Equations for One Variable
- 5.9 Problem Solving: Writing and Solving Equations Using Bar Models
- 5.10 Problem Solving: Writing and Solving Equations Using Tables
- 5.11 Differentiating Between Arithmetic and Algebraic Approaches

Chapter 6: Inequalities and Word Problems

- 6.1 Determining Solutions of Inequalities
- 6.2 Solving and Graphing One-Step Inequalities
- 6.3 Solving and Graphing Multi-Step Inequalities
- 6.4 Solving Inequalities Review
- 6.5 Problem Solving: Writing and Solving Real-World Problems with Inequalities

Chapter 7: Ratios and Proportional Relationships

- 7.1 Ratios Review
- 7.2 Equivalent Ratios Using Whole Numbers, Fractions, and Decimals
- 7.3 Unit Rates Review
- 7.4 Problem Solving: Using Unit Rates to Solve Real-World Problems
- 7.5 Problem Solving: Comparing Unit Rates
- 7.6 Identifying Proportional Relationships in Tables
- 7.7 Identifying a Constant of Proportionality in Tables
- 7.8 Identifying Proportional Relationships in Graphs
- 7.9 Identifying a Constant of Proportionality in Graphs
- 7.10 Interpreting Proportional Graphs
- 7.11 Identifying a Constant of Proportionality in Equations
- 7.12 Identifying a Constant of Proportionality in Word Problems
- 7.13 Writing Equations for Proportional Relationships
- 7.14 Creating Equations for Proportional Relationships to Solve Word Problems

Chapter 8: Percent and Proportional Relationships

- 8.1 Understanding Different Representations of Percents
- 8.2 Solving Percent Problems Review
- 8.3 Problem Solving: Real-World Percent Problems
- 8.4 Tax, Gratuities, and Commissions
- 8.5 Finding Percents of a Number Using Mental Math
- 8.6 Problem Solving: Using Mental Math to Solve Percent Problems
- 8.7 Using Expressions to Represent Percent Increase and Decrease
- 8.8 Percent Markups and Markdowns
- 8.9 Calculating Percent Increase and Decrease
- 8.10 Percent Error
- 8.11 Simple Interest

Chapter 9: Angle Properties

- 9.1 Introduction to Angle Notation
- 9.2 Classifying Angles and Lines Review
- 9.3 Identifying Complementary and Supplementary Angles
- 9.4 Solving for an Unknown Angle Using Complementary and Supplementary Angles
- 9.5 Solving for Angles in a Right Angle and on a Straight Line
- 9.6 Identifying Vertical and Adjacent Angles
- 9.7 Solving for an Unknown Angle Using Vertical and Adjacent Angles
- 9.8 Solving for Angles that Share a Common Vertex
- 9.9 Problem Solving: Finding Unknown Angles in Real-World Objects

Chapter 10: Geometric Constructions

- 10.1 Naming Triangles
- 10.2 Side-Side-Side (SSS) Triangle Constructions
- 10.3 Side-Angle-Side (SAS) Triangle Constructions
- 10.4 Angle-Side-Angle (ASA) Triangle Constructions
- 10.5 Determining One Possible Triangle, Two Possible Triangles, or No Possible Triangles
- 10.6 Creating Scales of Length
- 10.7 Creating Scales of Area
- 10.8 Problem Solving: Determining Lengths and Areas Using Scales

Chapter 11: Area, Perimeter, and Circumference

- 11.1 Perimeter and Area of Triangles, Squares and Rectangles Review
- 11.2 Perimeter and Area of Parallelograms and Trapezoids Review
- 11.3 Parts of a Circle
- 11.4 Introduction to Pi
- 11.5 Finding the Circumference
- 11.6 Finding the Area of a Circle
- 11.7 Finding the Perimeter of Complex Figures
- 11.8 Finding the Area of Complex Figures Using Composition
- 11.9 Finding the Area of Complex Figures Using Decomposition
- 11.10 Problem Solving: Perimeter and Area Problems with Variable Lengths
- 11.11 Problem Solving: Real-World Perimeter and Area Problems

Chapter 12: Three-Dimensional Figures

- 12.1 Parallel and Perpendicular Planes
- 12.2 Slicing Right Rectangular Prisms and Pyramids with a Plane Parallel, Perpendicular, or at an Angle to a Face
- 12.3 Surface Area of Composite Figures Built from Right Prisms
- 12.4 Volume of Composite Figures Built from Right Prisms
- 12.5 Problem Solving: Real-World Problems with Composite Three-Dimensional Figures

Chapter 13: Statistics

- 13.1 Determining the Population and Sample from a Statistical Question
- 13.2 Selecting Unbiased, Representative and Random Samples
- 13.3 Understanding Random Sampling Methods
- 13.4 Making Inferences About Population Using Proportional Reasoning
- 13.5 Calculating the Measures of Center Review
- 13.6 Calculating the Measures of Variation Review
- 13.7 Comparing Multiple Samples
- 13.8 Comparing Two Sets of Data with Box Plots, Dot Plots and Bar Graphs
- 13.9 Calculating Measures of Center and Variation to Compare Two Populations
- 13.10 Making Comparative Inferences About Two Populations: Review

Chapter 14: Probability

- 14.1 Defining Outcomes, Events, and Sample Space
- 14.2 Calculating the Probability of Simple Events
- 14.3 Understanding Different Word Form Used in Probability
- 14.4 Understanding Different Numerical Forms of Probability
- 14.5 Comparing Theoretical Probability to Experimental Probability
- 14.6 Understanding the Outcomes of Larger Versus Smaller Sample Sizes
- 14.7 Approximating Relative Frequency from Probability
- 14.8 Using Relative Frequency to Predict Outcomes
- 14.9 Predicting Outcomes Based on a Uniform Probability Table
- 14.10 Predicting Outcomes Based on a Non-Uniform Probability Table
- 14.11 Sample Spaces of Compound Events
- 14.12 Calculating Compound Probabilities Using Tables, Tree Diagrams, and Lists
- 14.13 Determining the Best Simulation to Model an Experiment
- 14.14 Designing Simulations to Calculate Experimental Probabilities
- 14.15 Using Simulations to Calculate Experimental Probabilities of Compound Events

## Grade 8

Chapter 1: Square Roots and Cube Roots

- 1.1 Understanding Perfect Squares and Perfect Cubes
- 1.2 Identifying Perfect Squares and Perfect Cubes
- 1.3 Finding Square Roots of Perfect Squares
- 1.4 Finding Square Roots of Fractions and Decimals
- 1.5 Solving Equations with Squares of Variables
- 1.6 Finding Cube Roots of Perfect Cubes
- 1.7 Finding Cube Roots of Fractions and Decimals
- 1.8 Solving Equations with Cubes of Variables
- 1.9 Solving Problems with Square Roots and Cube Roots Review

Chapter 2: The Number System

- 2.1 Expressing Integers in a/b Form Review
- 2.2 Expressing Mixed Numbers in a/b Form Review
- 2.3 Expressing Terminating Decimals in a/b Form Review
- 2.4 Expressing Repeating Decimals in a/b Form
- 2.5 Understanding Rational and Irrational Numbers
- 2.6 Identifying Rational and Irrational Numbers by Finding their Decimal Expansion
- 2.7 Writing Rational and Irrational Numbers as Decimals Review
- 2.8 Determining the Two Consecutive Whole Numbers that a Square Root Lies Between
- 2.9 Estimating Square Roots to the Tenths Place
- 2.10 Locating Rational and Irrational Numbers on Number Line
- 2.11 Comparing Rational and Irrational Numbers

Chapter 3: Integer Exponents

- 3.1 Evaluating Exponential Expressions with Rational Numbers
- 3.2 Using the Product Property to Simplify Numerical Expressions
- 3.3 Using the Quotient Property to Simplify Numerical Expressions
- 3.4 Using the Power of a Power Property to Simplify Numerical Expressions
- 3.5 Using the Power of a Product Property to Simplify Numerical Expressions
- 3.6 Using the Power of a Quotient Property to Simplify Numerical Expressions
- 3.7 Writing Bases in Lowest Terms
- 3.8 Using the Properties of Exponents to Simplify Numerical Expressions with Positive Exponents
- 3.9 Simplifying Numerical Expressions with Positive Exponents Review
- 3.10 Evaluating Numerical Expressions with a Zero Exponent
- 3.11 Evaluating Numerical Expressions with Negative Exponents
- 3.12 Simplifying Expressions with Exponents Using the Product and Quotient Properties
- 3.13 Simplifying Expressions with Exponents Using Multiple Properties
- 3.14 Using Integer Exponents in Real World Problems

Chapter 4: Scientific Notation

- 4.1 Multiplying and Dividing Decimals by Powers of 10 Review
- 4.2 Identifying Numbers in Scientific Notation
- 4.3 Converting Numbers from Standard Form to Scientific Notation
- 4.4 Converting Numbers from Scientific Notation to Standard Form
- 4.5 Comparing Numbers in Scientific Notation
- 4.6 Adding and Subtracting Numbers in Scientific Notation with the Same Power of 10
- 4.7 Adding and Subtracting Numbers in Scientific Notation with Different Powers of 10
- 4.8 Add and Subtract Numbers in Different Forms
- 4.9 Multiplying Numbers In Scientific Notation
- 4.10 Dividing Numbers In Scientific Notation
- 4.11 Choosing the Appropriate Units for Measuring Very Large and Very Small Quantities
- 4.12 Using Scientific Notation and Appropriate Units to Solve Real-World Problems

Chapter 5: Graphs of Proportional Relationships

- 5.1 Identifying the Constant of Proportionality in Tables, Graphs, and Equations Review
- 5.2 Finding the Slope of Proportional Relationships Using the Unit Rate
- 5.3 Graphing Proportional Relationships
- 5.4 Comparing Two Unit Rates Using Slopes
- 5.5 Comparing Two Proportional Relationships Represented in Different Ways

Chapter 6: Graphs of Linear Equations

- 6.1 Understanding Linear Relationships in Tables
- 6.2 Understanding Linear Relationships in Graphs
- 6.3 Understanding Linear Relationships in Equations
- 6.4 Finding the Slope of the Graph of a Linear Equation Using Triangles
- 6.5 Finding the Slope of a Linear Equation Using the Slope Formula
- 6.6 Finding the Slope of Horizontal and Vertical Lines
- 6.7 Identifying Parts of the Linear Equation y=mx+b
- 6.8 Graphing Linear Equations of the Form y=mx+b
- 6.9 Graphing Horizontal and Vertical Lines
- 6.10 Writing the Equation for a Line in the Form y=mx+b Using a Graph
- 6.11 Writing the Equation for Horizontal and Vertical Lines
- 6.12 Identifying Relationships Between the Lines y=mx and y=mx+b

Chapter 7: Solving Linear Equations with One Variable

- 7.1 Solving Multi-Step Equations Review
- 7.2 Solving Equations Using the Distributive Property
- 7.3 Solving Equations by Combining Like Terms
- 7.4 Solving Equations with Fractions
- 7.5 Solving Equations with Decimals
- 7.6 Solving Equations Review
- 7.7 Solving Equations with No Solutions or Infinitely Many Solutions
- 7.8 Determining Equations for a Given Solution
- 7.9 Writing an Equation for a Given Solution
- 7.10 Writing Equations in One Variable for Real World Problems

Chapter 8: Solving Systems of Linear Equations

- 8.1 Identifying Solutions to Systems of Linear Equations
- 8.2 Identifying Solutions of Systems of Linear Equations by Analyzing Graphs
- 8.3 Estimating Solutions of Systems of Linear Equations by Analyzing Graphs
- 8.4 Solving Simple Systems of Linear Equations by Graphing
- 8.5 Solving Systems of Linear Equations Using Substitution
- 8.6 Solving Systems of Linear Equations Using Elimination
- 8.7 Determining the Number of Solutions to a System of Equations Using Substitution and Elimination
- 8.8 Determining the Number of Solutions to a System of Equations by Inspection
- 8.9 Solving Systems of Linear Equations Review
- 8.10 Using Systems of Equations to Solve Real World Problems

Chapter 9: Functions

- 9.1 Understanding a Relation
- 9.2 Identifying Functions Using Mapping Diagrams
- 9.3 Identifying Functions Using Tables
- 9.4 Identifying Functions Using Graphs
- 9.5 Identifying Functions Using Equations
- 9.6 Identifying Linear and Nonlinear Functions Using Equations
- 9.7 Interpreting Linear Functions with Words
- 9.8 Interpreting Linear Functions Algebraically
- 9.9 Interpreting Linear Functions Numerically
- 9.10 Interpreting Linear Functions Graphically
- 9.11 Identifying the Relationship Between Two Quantities on a Graph
- 9.12 Sketching Graphs from Real-World Contexts
- 9.13 Comparing Two Functions Represented in the Same Way
- 9.14 Comparing Two Functions Represented in Different Ways
- 9.15 Comparing Two Functions to Solve Real World Problems

Chapter 10: Statistics

- 10.1 Understanding Quantitative Data Versus Categorical Data
- 10.2 Understanding Bivariate Data Versus Univariate Data
- 10.3 Constructing Scatter Plots
- 10.4 Using Scatter Plots to Identify Strong and Weak Association
- 10.5 Using Scatter Plots to Identify Positive and Negative Association
- 10.6 Using Scatter Plots to Identify Linear and Non-Linear Association
- 10.7 Identifying and Interpreting Outliers in Scatter Plots
- 10.8 Identifying the Association Between Two Sets of Quantitative Data Review
- 10.9 Interpreting the Association Between Two Sets of Quantitative Data
- 10.10 Understanding a Line of Best Fit
- 10.11 Constructing a Line of Best Fit
- 10.12 Writing Equations for a Line of Best Fit
- 10.13 Interpreting the Equation of a Line of Best Fit
- 10.14 Using the Graph of Line of Best Fit to Interpolate and Extrapolate Data
- 10.15 Using the Equation of Line of Best Fit to Interpolate and Extrapolate Data
- 10.16 Understanding Two-Way Tables
- 10.17 Constructing Two-Way Tables
- 10.18 Interpreting Two-Way Tables
- 10.19 Calculating Relative Frequencies in Two-Way Tables
- 10.20 Interpreting Relative Frequencies in Two-Way Tables

Chapter 11: Geometric Transformations

- 11.1 Translations
- 11.2 Determining Coordinates of Translations
- 11.3 Reflections
- 11.4 Determining Coordinates of Reflections over Horizontal and Vertical Lines
- 11.5 Rotations
- 11.6 Determining Coordinates of Rotations about the Origin
- 11.7 Dilations
- 11.8 Determining Coordinates of Dilations about the Origin
- 11.9 Transformations Review
- 11.10 Determining Coordinates of Transformations Review
- 11.11 Determining the Type of Transformation
- 11.12 Identifying Congruent Figures
- 11.13 Identifying Similar Figures
- 11.14 Understanding Similar Triangles Using the Angle-Angle Criterion

Chapter 12: Angles

- 12.1 Interior Angles in a Triangle
- 12.2 Exterior Angles of a Triangle
- 112.3 Alternate Interior Angles
- 12.4 Alternate Exterior Angles
- 12.5 Corresponding Angles
- 12.6 Interior Angles on the Same Side of the Transversal
- 12.7 Exterior Angles on the Same Side of the Transversal
- 12.8 Review: Calculating Angles on Parallel Lines

Chapter 13: The Pythagorean Theorem

- 13.1 Understanding the Pythagorean Theorem
- 13.2 Solving for the Hypotenuse in a Right Triangle
- 13.3 Solving for a Leg in a Right Triangle
- 13.4 Solving for Parts of Two-Dimensional Geometric Figures Using the Pythagorean Theorem
- 13.5 Solving for Parts of Three-Dimensional Geometric Figures Using the Pythagorean Theorem
- 13.6 Using the Pythagorean Theorem to Find the Distance Between Two Points on a Graph
- 13.7 Using the Pythagorean Theorem to Find the Distance Between Two Points

Chapter 14: Volumes of Solids

- 14.1 Volume of Cylinders
- 14.2 Volume of Cones
- 14.3 Volume of Spheres
- 14.4 Volume of Composite Solids
- 14.5 Problem Solving: Real-World Problems with Volumes of Solids

## Algebra I

Chapter 1: Introduction to Algebra

- 1.1 Understanding Parts of Algebraic Expressions and Equations
- 1.2 Evaluating Algebraic Expressions
- 1.3 Simplifying Algebraic Expressions
- 1.4 Simplifying Radical Expressions with Perfect Squares and Perfect Cubes
- 1.5 Solving Equations
- 1.6 Translating Words into Expressions
- 1.7 Translating Words into Equations
- 1.8 Properties of Equality
- 1.9 Understanding Algebraic Proofs

Chapter 2: Number Theory

- 2.1 Understanding the Real Number System
- 2.2 Properties of Real Numbers
- 2.3 Reasoning with Rational Numbers
- 2.4 Reasoning with Rational and Irrational Numbers
- 2.5 Reasoning with Irrational Numbers

Chapter 3: Introduction to Functions

- 3.1 Review of Functions
- 3.2 Introduction to Function Notation
- 3.3 Writing Equations in Function Notation
- 3.4 Interpreting Functional Notation in Word Problems
- 3.5 Evaluating Functions of Real Number Inputs
- 3.6 Evaluating Functions with Expressions as Inputs
- 3.7 Evaluating Input Values of Linear Functions
- 3.8 Evaluating Functions from Graphs
- 3.9 Finding the Domain and Range in Relations
- 3.10 Finding the Domain and Range of Functions on Graphs
- 3.11 Finding the Domain and Range in Word Problems

Chapter 4: Linear Equations

- 4.1 Identifying Equivalent Equations
- 4.2 Solving One-Step Equations
- 4.3 Identifying the Property Used to Solve One-Step Equations
- 4.4 Solving Two-Step Equations
- 4.5 Solving Multi-Step Equations
- 4.6 Solving Equations with Variables on Both Sides of the Equation
- 4.7 Solving for Variables in Linear Equations
- 4.8 Identifying a Solution to a Linear Equation
- 4.9 Interpreting Parameters of Linear Equations in Word Problems
- 4.10 Writing and Solving Linear Equations to Solve Word Problems

Chapter 5: Linear Functions

- 5.1 Identifying the Solution Set of Linear Equations in Two Variables
- 5.2 Finding the Slope Between Two Points
- 5.3 Writing Linear Functions Given a Slope and the $y-$Intercept
- 5.4 Writing Linear Functions Using the Slope-Intercept Form
- 5.5 Writing Linear Functions Using the Point-Slope Form
- 5.6 Writing Point-Slope Form in Slope-Intercept Form
- 5.7 Writing Linear Functions in Standard Form
- 5.8 Writing the Equations of Lines in Word Problems
- 5.9 Solving Word Problems of Linear Functions
- 5.10 Identifying Different Forms of Linear Equations
- 5.11 Writing the Equation of a Parallel Line
- 5.12 Writing the Equation of a Perpendicular Line
- 5.13 Graphing Lines Using the Slope and the $y-$Intercept
- 5.14 Finding the Intercepts of a Line
- 5.15 Graphing Lines Using Intercepts
- 5.16 Graphing Horizontal and Vertical Lines
- 5.17 Graphing Parallel Lines
- 5.18 Graphing Perpendicular Lines
- 5.19 Interpreting Graphs of Linear Functions in Word Problems
- 5.20 Comparing Properties of Linear Functions Represented in Different Ways
- 5.21 Interpreting Linear Functions in Word Problems

Chapter 6: Exponents

- 6.1 Evaluating Algebraic Expressions with Exponents
- 6.2 Using the Product Property to Simplify Algebraic Expressions
- 6.3 Using the Quotient Property to Simplify Algebraic Expressions
- 6.4 Using the Power of a Power Property to Simplify Algebraic Expressions
- 6.5 Using the Power of a Product Property to Simplify Algebraic Expressions
- 6.6 Using the Power of a Quotient Property to Simplify Algebraic Expressions
- 6.7 Simplifying Algebraic Expressions with Negative Exponents
- 6.8 Simplifying Algebraic Expressions with Exponents Using the Product and Quotient Properties
- 6.9 Simplifying Algebraic Expressions with Exponents Using Multiple Properties

Chapter 7: Polynomials and Factoring

- 7.1 Identifying Types of Polynomials
- 7.2 Writing Polynomials in Standard Form
- 7.3 Adding and Subtracting Polynomials
- 7.4 Multiplying Monomials by Polynomials
- 7.5 Multiplying Binomials Using the Box Method
- 7.6 Multiplying Binomials Using the Distributive Property
- 7.7 Multiplying Polynomials Using the Box Method
- 7.8 Multiplying Polynomials Using the Distributive Property
- 7.9 Expanding Perfect Squares and Perfect Cubes
- 7.10 Factoring Common Terms
- 7.11 Factoring Polynomials Using Grouping
- 7.12 Factoring $x^2 + bx +c$
- 7.13 Factoring $ax^2 + bx +c$ Using Grouping
- 7.14 Factoring $ax^2 + bx +c$ Using the Box Method
- 7.15 Determining Whether a Trinomial is Factorable
- 7.16 Identifying Variable Perfect Squares
- 7.17 Using the Difference of Two Squares to Factor
- 7.18 Identifying Variable Perfect Cubes
- 7.19 Using the Sum and Difference of Two Cubes to Factor
- 7.20 Factoring Review
- 7.21 Multi-Step Factoring
- 7.22 Factoring with $u-$substitution
- 7.23 Solving Polynomial Equations with Factoring

Chapter 8: Rational Expressions and Equations

- 8.1 Simplifying Rational Expressions
- 8.2 Identifying the Least Common Denominator for Rational Expressions
- 8.3 Adding and Subtracting Rational Expressions
- 8.4 Simplifying Mixed Expressions
- 8.5 Simplifying Complex Rational Expressions
- 8.6 Solving Rational Equations
- 8.7 Solving Rational Equations with Extraneous Solutions
- 8.8 Writing Restrictions for Rational Expressions

Chapter 9: Applications of Rational Expressions

- 9.1 Interpreting Parts of Rational Expressions in Word Problems
- 9.2 Solving Ratio Word Problems
- 9.3 Solving Simple Rate Word Problems
- 9.4 Solving Complex Rate Word Problems
- 9.5 Solving Word Problems with Proportions
- 9.6 Solving Percent Problems
- 9.7 Solving Complex Percent Problems
- 9.8 Using Proportions to Convert Unit Measurements
- 9.9 Using Direct Variation to Solve Word Problems
- 9.10 Using Inverse Variation to Solve Word Problems

Chapter 10: Rational Exponents and Radicals

- 10.1 Understanding $n^{th}$ Roots
- 10.2 Understanding Rational Exponents
- 10.3 Expressing Radicals in Exponential Form
- 10.4 Expressing Rational Exponents in Radical Form
- 10.5 Evaluating Radicals
- 10.6 Evaluating Rational Exponents
- 10.7 Simplifying Radical Expressions
- 10.8 Using the Product and Quotient Properties to Simplify Expressions with Rational Exponents
- 10.9 Using the Product and Quotient Properties to Simplify Expressions with Radicals
- 10.10 Using the Power of a Power Property to Simplify Expressions with Rational Exponents
- 10.11 Using the Power of a Power Property to Simplify Expressions with Radicals
- 10.12 Using the Power of Product and Power of Quotient Properties to Simplify Expressions with Rational Exponents
- 10.13 Using the Power of Product and Power of Quotient Properties to Simplify Expressions with Radicals
- 10.14 Adding and Subtracting Expressions with Rational Exponents
- 10.15 Adding and Subtracting Expressions with Radicals
- 10.16 Simplifying Expressions with Rational Exponents Using Two or More Operations
- 10.17 Simplifying Expressions with Radicals Using Two or More Operations
- 10.18 Simplifying Expressions with Rational Exponents and Radicals Using Two or More Operations
- 10.19 Rationalizing the Denominators of Radical Expressions
- 10.20 Understanding Conjugates
- 10.21 Rationalizing the Denominators of Radical Expressions Using Conjugates
- 10.22 Factoring with Radicals and Rational Exponents
- 10.23 Solving Simple Equations with Radicals and Rational Exponents

Chapter 11: Quadratic Equations

- 11.1 Solving Quadratic Equations with Factoring
- 11.2 Solving Quadratic Equations with Radicals
- 11.3 Completing the Square to Rewrite a Quadratic Equation
- 11.4 Solving Quadratic Equations by Completing the Square when a=1
- 11.5 Solving Quadratic Equations by Completing the Square when a≠1
- 11.6 Understanding the Quadratic Formula
- 11.7 Solving Quadratic Equations with the Quadratic Formula
- 11.8 Determining the Number of Real Solutions Using the Discriminant
- 11.9 Solving All Types of Quadratic Equations
- 11.10 Writing and Solving Simple Quadratic Equations to Solve Word Problems
- 11.11 Interpreting Parts of Quadratic Equations in Word Problems

Chapter 12: Quadratic Functions

- 12.1 Identifying the Solution Set of Quadratic Equations in Two Variables
- 12.2 Graphing Quadratic Functions Using a Table
- 12.3 Identifying the Zeros of Quadratic Equations
- 12.4 Identifying Zeros on a Graph
- 12.5 Understanding the Relationship Between Zeros and Factors
- 12.6 Finding the Zeros of a Quadratic Function by Factoring
- 12.7 Identifying the Vertex and Line of Symmetry of a Quadratic Function on a Graph
- 12.8 Identifying the Vertex and Line of Symmetry of a Quadratic Function by Completing the Square
- 12.9 Identifying the Minimum and Maximum Values of a Quadratic Function on a Graph
- 12.10 Identifying Minimum and Maximum Values of Quadratic Functions by Completing the Square
- 12.11 Graphing Quadratic Functions Using the Vertex and $x-$Intercepts
- 12.12 Graphing Quadratic Functions Using the $y-$Intercept, Vertex, and Symmetry
- 12.13 Graphing Quadratic Functions Review
- 12.14 Interpreting Graphs of Quadratic Functions in Word Problems
- 12.15 Interpreting Zeros, Extreme Values, and Symmetry of a Quadratic Function to Solve Word Problems
- 12.16 The Parent Graph of a Quadratic Function
- 12.17 Identifying the Effect of $f(x) +k$ and $f(x+k)$ on a Parent Graph
- 12.18 Comparing Properties of Quadratic Functions Represented in Different Ways

Chapter 13: Exponential Equations and Functions

- 13.1 Solving Exponential Equations with Equivalent Bases
- 13.2 Solving Exponential Equations by Making Equivalent Bases
- 13.3 Determining Solutions to Exponential Equations
- 13.4 Identifying the Solution Set of Exponential Equations in Two Variables
- 13.5 Evaluating Exponential Functions
- 13.6 Using a Table to Understand Exponential Graphs
- 13.7 Solving Basic Exponential Word Problems

Chapter 14: Absolute Value and Piecewise Functions

- 14.1 Evaluating Numerical Expressions with Absolute Value
- 14.2 Evaluating Algebraic Expressions with Absolute Value
- 14.3 Solving Equations with Absolute Value
- 14.4 Graphing the Absolute Value Functions
- 14.5 Evaluating Piecewise Functions
- 14.6 Graphing Piecewise Functions
- 14.7 Using Piecewise Functions to Solve Word Problems

Chapter 15: Modeling with Different Types of Functions

- 15.1 Identifying Growth Patterns in Linear and Exponential Functions
- 15.2 Identifying Linear and Exponential Functions
- 15.3 Identifying Situations with Constant Rates of Change
- 15.4 Identifying Situations with Constant Percent Rates Per Unit
- 15.5 Understanding the Average Rate of Change
- 15.6 Interpreting the Average Rate of Change in Word Problems
- 15.7 Writing Different Types of Functions from Graphs
- 15.8 Writing Different Types of Functions from Tables
- 15.9 Writing Different Types of Functions to Solve Word Problems
- 15.10 Choosing Labels and Scales to Graph Functions
- 15.11 Graphing Different Functions To Solve Word Problems
- 15.12 Understanding Exponential Growth by Comparing Different Types of Functions in Graphs
- 15.13 Understanding Exponential Growth by Comparing Different Types of Functions in Tables
- 15.14 Combining Different Functions
- 15.15 Combining Two or More Functions to Solve Word Problems

Chapter 16: Inequalities

- 16.1 Solving One-Step Linear Inequalities in One Variable
- 16.2 Solving Two-Step Linear Inequalities in One Variable
- 16.3 Solving Multi-Step Linear Inequalities in One Variable
- 16.4 Determining Solutions to Linear Inequalities
- 16.5 Writing Inequalities to Solve Word Problems
- 16.6 Graphing Linear Inequalities in One Variable
- 16.7 Understanding Compound Inequalities and Their Graphs
- 16.8 Understanding Different Notation for Inequalities and Their Graphs
- 16.9 Solving Compound Linear Inequalities
- 16.10 Solving Absolute Value Inequalities
- 16.11 Solving and Graphing Compound Linear Inequalities and Absolute Value Inequalities
- 16.12 Solving Quadratic Inequalities
- 16.13 Solving and Graphing Quadratic Inequalities
- 16.14 Graphing Linear Inequalities in Two Variables

Chapter 17: Systems of Equations and Inequalities

- 17.1 Identifying Solutions to Systems of Linear Equations in Two Variables
- 17.2 Understanding Solutions to Systems of Equations on Graphs
- 17.3 Solving Systems of Linear Equations Using Graphs
- 17.4 Approximating the Solution to a System of Linear Equations Using a Graph
- 17.5 Solving Systems of Linear Equations Using Substitution
- 17.6 Solving Systems of Linear Equations Using Elimination
- 17.7 Identifying Equivalent Systems of Equations
- 17.8 Determining the Number of Solutions to Systems of Equations
- 17.9 Solving Systems of Linear and Quadratic Equations Graphically
- 17.10 Solving Systems of Linear and Quadratic Equations Algebraically
- 17.11 Graphing Systems of Two Linear Inequalities
- 17.12 Graphing Systems of Three or Four Linear Inequalities
- 17.13 Writing Systems of Equations to Represent Constraints in Word Problems
- 17.14 Writing Systems of Inequalities to Represent Constraints in Word Problems
- 17.15 Writing and Solving Systems of Equations to Solve Word Problems

Chapter 18: Sequences

- 18.1 Understanding Sequence Notation
- 18.2 Identifying an Arithmetic Sequence
- 18.3 Computing Terms of an Arithmetic Sequence
- 18.4 Writing the Explicit Formula for an Arithmetic Sequence
- 18.5 Computing the $n^{th}$ Term of an Arithmetic Sequence
- 18.6 Identifying a Geometric Sequence
- 18.7 Computing Terms of a Geometric Sequence
- 18.8 Writing the Explicit Formula for a Geometric Sequence
- 18.9 Computing the $n^{th}$ Term of a Geometric Sequence
- 18.10 Identifying Types of Sequences
- 18.11 Writing a Recursive Formula for a Sequence
- 18.12 Converting Explicit Formulas to Recursive Formula
- 18.13 Converting Recursive Formulas to Explicit Formulas
- 18.14 Arithmetic and Geometric Sequences in Word Problems

Chapter 19: Units and Measurement

- 19.1 Simplifying Units
- 19.2 Interpreting Units within a Context
- 19.3 Solving for a Variable in an Equation
- 19.4 Determining the Solution and Units in Multi-Step Word Problems
- 19.5 Using Units to Interpret Information on a Graph and in Data Displays
- 19.6 Determining the Accuracy of Measurement
- 19.7 Defining Appropriate Units to Describe Models

Chapter 20: Data Analysis and Statistics

- 20.1 Creating Dot Plots, Histograms, and Box Plots (Review)
- 20.2 Interpreting Dot Plots, Histograms, and Box Plots
- 20.3 Computing the Median and Interquartile Range
- 20.4 Computing the Mean and Standard Deviation
- 20.5 Identifying and Interpreting Outliers of Data Sets
- 20.6 Identifying the Shapes of Data Distributions
- 20.7 Comparing the Centers of Two Data Sets Using Median and Mean
- 20.8 Comparing the Spread of Two Data Sets Using Range, Interquartile Range and Standard Deviation
- 20.9 Interpreting and Comparing Shape, Center, and Spread of Data Sets
- 20.10 Constructing and Interpreting Two-Way Frequency Tables
- 20.11 Computing and Interpreting Conditional Relative Frequencies in Two-Way Tables
- 20.12 Identifying and Interpreting the Association in Scatter Plots
- 20.13 Assessing the Line of Best Fit by Analyzing Residuals
- 20.14 Fitting a Linear Function for a Scatter Plot
- 20.15 Identifying and Interpreting the Slope and Intercept of a Linear Model
- 20.16 Understanding and Interpreting the Correlation Coefficient of a Linear Model
- 20.17 Identifying Correlation and Causation

## Geometry

Chapter 1: Logic and Reasoning

- 1.1 Patterns and Inductive Reasoning
- 1.2 Identifying Statements and Negations
- 1.3 Identifying the Hypothesis and Conclusion of a Conditional Statement
- 1.4 Writing Conditional Statements in If-Then Form
- 1.5 Identifying the Converse, Inverse, and Contrapositive of a Statement
- 1.6 Using Deductive Reasoning
- 1.7 Understanding Sets and Arguments with Venn Diagrams
- 1.8 Identifying Counterexamples
- 1.9 Understanding Biconditional Statements

Chapter 2: Building Blocks of Geometry: Definitions, Postulates, and Theorems

- 2.1 Naming Undefined Terms: Points, Lines, and Planes
- 2.2 Understanding Collinear and Coplanar Points
- 2.3 Naming Line Segments, Rays, and Opposite Rays
- 2.4 Understanding Relationships Between Lines and Planes in Space
- 2.5 Understanding the Ruler Postulate and Segment Addition Postulate
- 2.6 Solving with Congruent Segments, Midpoints and Segment Bisectors
- 2.7 Naming Angles and Their Parts
- 2.8 Understanding Protractor Postulate and Angle Addition Postulate
- 2.9 Solving with Congruent Angles and Angle Bisectors
- 2.10 Understanding Postulates about Points, Lines, and Planes
- 2.11 Using Properties of Equality to Justify Conclusions
- 2.12 Completing Two-Column Algebraic Proof
- 2.13 Completing Two-Column Geometric Proof

Chapter 3: Angles Relationships

- 3.1 Identifying Vertical and Adjacent Angles
- 3.2 Identifying Complementary and Supplementary Angles
- 3.3 Making Conclusions about Angles from Diagrams
- 3.4 Solving with Angle Pairs
- 3.5 Reasoning with Angle Pairs
- 3.6 Proving Theorems about Angles
- 3.7 Using Angle Relationships in Word Problems

Chapter 4: Parallel and Perpendicular Lines

- 4.1 Identifying Angle Pairs Formed by a Transversal
- 4.2 Identifying Congruent and Supplementary Angles Formed by Parallel Lines and a Transversal
- 4.3 Determining Whether Lines are Parallel Using Angle Relationships
- 4.4 Proving Theorems about Parallel Lines and Angle Pairs
- 4.5 Solving with Parallel Lines
- 4.6 Determining Whether Lines are Parallel or Perpendicular Using Line Relationships
- 4.7 Proving Theorems about Parallel and Perpendicular Lines
- 4.8 Solving with Parallel and Perpendicular Lines
- 4.9 Reasoning with Parallel and Perpendicular Lines
- 4.10 Using Properties of Parallel and Perpendicular Lines in Word Problems

Chapter 5: Properties of Triangles

- 5.1 Naming Triangles and Their Parts
- 5.2 Classifying Triangles
- 5.3 Solving for Sides and Angles Using Triangle Classification
- 5.4 Understanding Angle Relationships in Triangles
- 5.5 Solving for Angles Using Angle Relationships in Triangles
- 5.6 Proving Theorems about Angle Relationships in Triangles Using Different Types of Proofs
- 5.7 Using Properties of Angles of Triangles in Word Problems

Chapter 6: Properties of Other Polygons

- 6.1 Identifying and Naming Polygons
- 6.2 Classifying Polygons
- 6.3 Solving for Interior Angles of Polygons (Regular and Irregular)
- 6.4 Solving for Exterior Angles of Polygons (Regular and Irregular)
- 6.5 Solving for the Number of Sides of Regular Polygon
- 6.6 Using Properties of Polygons in Word Problems

Chapter 7: Rigid Transformations

- 7.1 Understanding Rigid Transformations
- 7.2 Performing Translations
- 7.3 Performing Reflections
- 7.4 Performing Rotations
- 7.5 Developing Definitions for Translations, Reflections, and Rotations
- 7.6 Finding the Coordinates of Translated Figures
- 7.7 Finding the Coordinates of Reflected Figures
- 7.8 Finding the Coordinates of Rotated Figures
- 7.9 Transformations as Inputs and Outputs
- 7.10 Determining the Transformation from one Figure Onto Another
- 7.11 Determining the Rotations and Reflections that Carry a Shape onto Itself
- 7.12 Predicting the Effect of Rigid Motions on a Figure
- 7.13 Using Rigid Transformations to Determine Congruence

Chapter 8: Triangle Congruence

- 8.1 Identifying Corresponding Parts of Congruent Triangles
- 8.2 Using Notation for Congruent Triangles
- 8.3 Determining Whether Parts of Triangles are Congruent
- 8.4 Using the Reflexive Property of Congruence to Identify Congruent Parts
- 8.5 Understanding the Side-Side-Side (SSS) Criteria for Triangle Congruence
- 8.6 Understanding the Side-Angle-Side (SAS) Criteria for Triangle Congruence
- 8.7 Understanding the Angle-Side-Angle (ASA) Criteria for Triangle Congruence
- 8.8 Understanding the Angle-Angle-Side (AAS) Criteria for Triangle Congruence
- 8.9 Understanding the Hypotenuse-Leg (HL) Criteria for Triangle Congruence
- 8.10 Understanding Criteria for Triangle Congruence Review
- 8.11 Proving Triangles Congruent
- 8.12 Understanding CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
- 8.13 Using CPCTC in Proofs
- 8.14 Word Problems with Triangle Congruency

Chapter 9: Properties of Segments and Angles in Triangles

- 9.1 Identifying Midsegments, Medians, Bisectors, and Altitudes in Triangles
- 9.2 Using Properties of Isosceles Triangles
- 9.3 Using Properties of Equilateral Triangles
- 9.4 Reasoning with Isosceles and Equilateral Triangles
- 9.5 Proving Theorems about Isosceles and Equilateral Triangles
- 9.6 Using Properties of Perpendicular Bisectors
- 9.7 Using Properties of Angle Bisectors
- 9.8 Using Properties of Bisectors in Triangles
- 9.9 Using Properties of Medians and Altitudes in Triangles
- 9.10 Using Properties of Midsegments in Triangles
- 9.11 Special Segments and Points in Triangles Review
- 9.12 Using Properties of Special Segments and Points in Triangles to Solve Word Problems
- 9.13 Inequalities in One Triangle
- 9.14 Inequalities in Two Triangles
- 9.15 Pythagorean Inequalities in Triangles
- 9.16 Using Indirect Proofs to Prove Triangle Relationships

Chapter 10: Non-Rigid Transformations

- 10.1 Understanding Dilations
- 10.2 Identifying Dilations
- 10.3 Determining Whether Two Figures are Similar
- 10.4 Using Notation for Similarity
- 10.5 Understanding the Difference Between Rigid and Non-Rigid Transformations

Chapter 11: Triangle Similarity

- 11.1 Angle-Angle (AA~) Criteria for Triangle Similarity
- 11.2 Side-Side-Side (SSS~) Triangle Similarity
- 11.3 Side-Angle-Side (SAS~) Triangle Similarity
- 11.4 Proving Triangles Similar
- 11.5 Understanding CSSTP and CASTC
- 11.6 Using CSSTP and CASTC in Proofs
- 11.7 Using Similarity to Prove Theorems in Triangles
- 11.8 Solving for Parts of Similar Triangles Using Proportions
- 11.9 Word Problems with Similarity

Chapter 12: Right Triangles and Trigonometry

- 12.1 Solving Right Triangles with the Pythagorean Theorem
- 12.2 Identifying Pythagorean Triples
- 12.3 Solving for Parts of $45^{circ}-45^{circ}-90^{circ}$ Triangles
- 12.4 Solving for Parts of $30^{circ}-60^{circ}-90^{circ}$ Triangles
- 12.5 Solving Special Right Triangles Review
- 12.6 Proportions and Similarity
- 12.7 Understanding Trigonometric Ratios
- 12.8 Finding Trigonometric Ratios
- 12.9 Solving Right Triangles with the Sine Ratio
- 12.10 Solving Right Triangles with the Cosine Ratio
- 12.11 Solving Right Triangles with the Tangent Ratio
- 12.12 Solving Right Triangles with the Trigonometric Ratios
- 12.13 Solving for Angles in Right Triangles Using Trigonometric Ratios
- 12.14 Solving Right Triangles Review
- 12.15 Understanding the Relationship Between Sine and Cosine of Complementary Angles
- 12.16 Word Problems with Angles of Elevation and Depression
- 12.17 Applying the Law of Sines
- 12.18 Applying the Law of Cosines
- 12.19 Using the Law of Sines and the Law of Cosines to Solve Word Problems

Chapter 13: Properties of Quadrilaterals

- 13.1 Understanding Properties of a Parallelogram
- 13.2 Understanding Properties of a Kite
- 13.3 Understanding Properties of Rectangles, Squares, and Rhombuses
- 13.4 Understanding Properties of a Trapezoid
- 13.5 Understanding the Trapezoid Midsegment Theorem
- 13.6 Using Properties to Solve Problems with Quadrilaterals
- 13.7 Using Properties of Quadrilaterals in Word Problems
- 13.8 Parallelogram Theorem Proofs
- 13.9 Understanding Congruence and Similarity in Quadrilaterals
- 13.10 Using Congruence and Similarity in Quadrilaterals to Solve Word Problems

Chapter 14: Circles

- 14.1 Understanding Parts of a Circle
- 14.2 Understanding Circle Congruence and Circle Similarity
- 14.3 Understanding Chords, Tangents, Secants, and Circle Pairs
- 14.4 Solving with Central Angles
- 14.5 Solving with Arc Measures
- 14.6 Using Relationships Between Arcs and Chords
- 14.7 Solving with Inscribed Angles
- 14.8 Solving with Inscribed Polygons
- 14.9 Using Tangent Lines to Find Line Segments
- 14.10 Solving with Circumscribed Polygons
- 14.11 Solving for Angles Between Tangents and Secants
- 14.12 Solving for Line Segments Inside and Outside Circles
- 14.13 Proofs with Circles
- 14.14 Word Problems with Circles

Chapter 15: Area and Length

- 15.1 Finding Area, Perimeter, and Dimensions of Parallelograms
- 15.2 Finding Area, Perimeter, and Dimensions of Triangles
- 15.3 Deriving and Using the Formula $A=frac{1},{2} ab sin(C)$ to Find the Area of a Triangle
- 15.4 Finding Area, Perimeter, and Dimensions of Trapezoids
- 15.5 Finding Area, Perimeter, and Dimensions of Rhombuses and Kites
- 15.6 Finding Circumference and Dimensions of Circles
- 15.7 Finding Arc Length of Circles
- 15.8 Finding Area and Dimensions of Circles
- 15.9 Finding Area of Sectors and Segments of Circles
- 15.10 Understanding Radian Measure of Angles
- 15.11 Converting Between Degrees and Radians
- 15.12 Finding Arc Lengths and Angle Measures in Radians
- 15.13 Finding Area and Dimensions of Regular Polygons
- 15.14 Finding Area and Dimensions of Inscribed and Circumscribed Polygons
- 15.15 Finding Perimeter of Complex Figures
- 15.16 Finding Area of Complex Figures
- 15.17 Estimating Area of Irregular Figures
- 15.18 Word Problems with Perimeter and Area

Chapter 16: Solids

- 16.1 Classifying Three-Dimensional Figures
- 16.2 Understanding Euler’s Formula for Vertices, Edges, and Faces
- 16.3 Identifying Three-Dimensional Figures From a Net
- 16.4 Identifying Shapes of Cross Sections
- 16.5 Identifying Symmetry in Two Dimensions
- 16.6 Identifying Symmetry in Three Dimensions
- 16.7 Identifying Three-Dimensional Objects Generated by Translation
- 16.8 Identifying Three-Dimensional Objects Generated by Rotation
- 16.9 Word Problems with Solids

Chapter 17: Surface Area and Volume

- 17.1 Finding Surface Area and Lateral Area of Prisms
- 17.2 Finding Surface Area and Lateral Area of Pyramids
- 17.3 Finding Surface Area and Lateral Area of Cylinders
- 17.4 Finding Surface Area and Lateral Area of Cones
- 17.5 Finding Surface Area of Spheres
- 17.6 Finding Surface Area of Composite Figures
- 17.7 Word Problems with Surface Area
- 17.8 Understanding Cavalieri’s Principle
- 17.9 Finding Volume of Prisms
- 17.10 Finding Volume of Pyramids
- 17.11 Finding Volume of Cylinders
- 17.12 Finding Volume of Cones
- 17.13 Finding Volume of Spheres
- 17.14 Finding Volume of Composite Figures
- 17.15 Finding Surface Area and Volume of Similar Figures
- 17.16 Word Problems with Volume

Chapter 18: Coordinate Geometry

- 18.1 Identifying Parts of the Coordinate Plane
- 18.2 Finding the Coordinates of Midpoints of Line Segments
- 18.3 Finding the Coordinates of Points that Divide Segments in a Given Ratio
- 18.4 Finding the Coordinates of Endpoints of Line Segments
- 18.5 Finding Distances in the Coordinate Plane
- 18.6 Classifying Triangles Using Coordinates
- 18.7 Classifying Quadrilaterals Using Coordinates
- 18.8 Finding Perimeters and Areas of Triangles and Quadrilaterals Using Coordinates
- 18.9 Writing Equations of Lines in the Coordinate Plane
- 18.10 Writing Equations of Circles in the Coordinate Plane
- 18.11 Using Equations of Lines and Circles to Solve Problems
- 18.12 Proofs about Parallel and Perpendicular Lines Using Coordinates
- 18.13 Proofs about Location and Shapes Using Coordinates
- 18.14 Using Coordinates to Solve Word Problems

Chapter 19: Geometric Constructions

- 19.1 Understanding Geometric Constructions
- 19.2 Constructions with Segments and Angles
- 19.3 Constructions with Parallel and Perpendicular Lines
- 19.4 Constructing Regular Polygons
- 19.5 Constructing Inscribed and Circumscribed Circles of a Triangle
- 19.6 Constructing Tangent Lines to a Circle
- 19.7 Justifying Geometric Constructions
- 19.8 Using Geometric Constructions to Solve Word Problems

Chapter 20: Probability

- 20.1 Describing Events as Subsets of a Sample Space
- 20.2 Describing Events as Unions, Intersections, or Complements of Other Events
- 20.3 Calculating Experimental and Theoretical Probability of Simple Events
- 20.4 Calculating Geometric Probability
- 20.5 Calculating the Probability of Unions, Intersections, and Complements of Events
- 20.6 Understanding the Fundamental Counting Principle
- 20.7 Understanding Factorials
- 20.8 Finding the Number of Permutations
- 20.9 Finding the Number of Combinations
- 20.10 Using Permutations and Combinations to Find Probabilities
- 20.11 Identifying Types of Compound Events
- 20.12 Finding the Probability of Independent Events
- 20.13 Determining Whether Events are Independent Using the Product of their Probabilities
- 20.14 Finding the Probability of Dependent Events
- 20.15 Determining Whether Events are Independent Using Conditional Probability
- 20.16 Finding the Probability of Mutually Exclusive Events
- 20.17 Finding the Probability of Overlapping Events
- 20.18 Finding the Probability Using Frequency Tables
- 20.19 Determining Whether Events are Independent Using Frequency Tables
- 20.20 Comparing Conditional Probabilities Using Frequency Tables
- 20.21 Finding Probabilities Using Venn Diagrams
- 20.22 Finding Probabilities Using Tree Diagrams
- 20.23 Finding Probability Distributions and Expected Values
- 20.24 Using Probabilities and Expected Values to Make Decisions

## Algebra II

Chapter 1: Equations and Inequalities

- 1.1 Understanding the Real Number System
- 1.2 Understanding Properties of Real Numbers
- 1.3 Interpreting Parts of Expressions
- 1.4 Simplifying and Evaluating Algebraic Expressions
- 1.5 Writing Algebraic Expressions, Equations, and Inequalities
- 1.6 Solving Linear Equations
- 1.7 Rewriting Equations and Formulas
- 1.8 Solving Absolute Value Equations
- 1.9 Solving Linear Inequalities
- 1.10 Understanding Set Notation and Interval Notation for Compound Inequalities
- 1.11 Solving Compound Inequalities
- 1.12 Solving Absolute Value Inequalities

Chapter 2: Linear Equations and Functions

- 2.1 Understanding Different Representations of Relations and Functions
- 2.2 Using the Vertical Line Test to Determine whether the Relation is a Function
- 2.3 Writing and Evaluating Equations in Function Notation
- 2.4 Identifying Linear Functions and Their Parts
- 2.5 Identifying Rate of Change and Slope of a Line
- 2.6 Writing Linear Equations in Two Variables
- 2.7 Writing Equations of Parallel and Perpendicular Lines
- 2.8 Graphing Linear Equations in Two Variables
- 2.9 Modeling Direct Variation
- 2.10 Graphing and Writing Piecewise and Step Functions
- 2.11 Graphing and Writing Absolute Value Functions
- 2.12 Graphing Linear Inequalities
- 2.13 Graphing Absolute Value Inequalities
- 2.14 Determining the Domain and Range of a Graph
- 2.15 Interpreting the Domain and Range in Word Problems
- 2.16 Comparing Properties of Linear Functions Represented in Different Ways
- 2.17 Comparing Properties of Linear Functions in Word Problems

Chapter 3: Linear Systems

- 3.1 Understanding Systems of Linear Equations
- 3.2 Solving Systems of Linear Equations by Graphing
- 3.3 Solving Systems of Linear Equations Algebraically
- 3.4 Graphing Systems of Linear Inequalities
- 3.5 Determining Vertices of an Enclosed Region
- 3.6 Determining the Maximum and Minimum Values of a Function Over a Region
- 3.7 Solving Optimization Word Problems
- 3.8 Solving Systems of Linear Equations in Three Variables

Chapter 4: Complex Numbers

- 4.1 Understanding Imaginary Numbers
- 4.2 Understanding Complex Numbers
- 4.3 Adding and Subtracting Complex Numbers
- 4.4 Multiplying Complex Numbers
- 4.5 Understanding Complex Conjugates
- 4.6 Using Conjugates to Divide Complex Numbers
- 4.7 Representing Complex Numbers on the Complex Plane in Rectangular Coordinates
- 4.8 Finding Absolute Values of Complex Numbers

Chapter 5: Quadratic Equations and Functions

- 5.1 Understanding Quadratic Equations Review
- 5.2 Solving Quadratic Equations by Finding Square Roots
- 5.3 Solving Quadratic Equations by Factoring
- 5.4 Solving Quadratic Equations by Completing the Square
- 5.5 Solving Quadratic Equations Using the Quadratic Formula
- 5.6 Using the Discriminant to Describe the Solutions of Quadratic Equations
- 5.7 Writing Quadratic Equations to Solve Word Problems
- 5.8 Understanding Quadratic Functions in Standard Form
- 5.9 Graphing Quadratic Functions in Standard Form
- 5.10 Understanding Quadratic Functions in Vertex Form
- 5.11 Graphing Quadratic Functions in Vertex Form
- 5.12 Understanding Quadratic Functions in Intercept Form
- 5.13 Graphing Quadratic Functions in Intercept Form
- 5.14 Rewriting Quadratic Functions in Different Forms
- 5.15 Using Graphs of Functions to Describe the Solutions of Quadratic Equations
- 5.16 Finding the Zeros of Quadratic Functions
- 5.17 Finding Minimum and Maximum Values of Quadratic Functions
- 5.18 Interpreting Features of Quadratic Functions in Word Problems
- 5.19 Writing Quadratic Functions from Graphs, Tables, and Word Descriptions
- 5.20 Writing Quadratic Functions to Solve Word Problems
- 5.21 Graphing Quadratic Inequalities in Two Variables
- 5.22 Graphing Systems of Quadratic Inequalities in Two Variables
- 5.23 Solving Quadratic Inequalities in One Variable
- 5.24 Using Quadratic Inequalities to Solve Word Problems
- 5.25 Using Quadratic Functions to Calculate and Interpret the Average Rate of Change
- 5.26 Comparing Properties of Quadratic Functions Represented in Different Ways

Chapter 6: Graphs of Functions and Their Transformations

- 6.1 Identifying a Parent Graph
- 6.2 Understanding Properties of Parent Graphs
- 6.3 Understanding Rigid Transformations
- 6.4 Graphing with Rigid Transformations
- 6.5 Understanding Non-Rigid Transformations
- 6.6 Graphing with Non-Rigid Transformations
- 6.7 Understanding Transformations Review
- 6.8 Graphing with Transformations Review
- 6.9 Interpreting Aspects of Transformed Graphs

Chapter 7: Polynomial Expressions and Equations

- 7.1 Using Properties of Exponents Review
- 7.2 Understanding the Standard Form, the Degree, and the Leading Coefficient of Polynomials
- 7.3 Adding, Subtracting, and Multiplying Polynomials
- 7.4 Dividing Polynomials Using Long Division
- 7.5 Dividing Polynomials Using Synthetic Division
- 7.6 Factoring Quadratic and Cubic Polynomials
- 7.7 Factoring Polynomials of Higher Degrees
- 7.8 Solving Polynomial Equations by Factoring
- 7.9 Using Polynomial Equations to Solve Word Problems
- 7.10 Proving Polynomial Identities
- 7.11 Proving Polynomial Identities with Complex Numbers
- 7.12 Using Polynomial Identities to Solve Word Problems
- 7.13 Using the Binomial Theorem to Expand a Binomial
- 7.14 Finding a Term of a Binomial Expansion with the Binomial Theorem
- 7.15 Using Pascal’s Triangle to Expand a Binomial
- 7.16 Finding a Term of a Binomial Expansion with Pascal’s Triangle
- 7.17 Using the Binomial Theorem and Pascal’s Triangle to Solve Word Problems.

Chapter 8: Polynomial Functions

- 8.1 Describing End Behavior of Graphs of Polynomial Functions
- 8.2 Finding the Real Zeros of Polynomial Functions from their Graphs
- 8.3 Finding the Real Zeros of Polynomial Functions Represented in Factored Form
- 8.4 Identifying Positive and Negative Intervals of Polynomial Functions
- 8.5 Identifying Relative Maximum and Minimum Values of Polynomial Functions
- 8.6 Identifying Intervals of Increasing and Decreasing of Polynomial Functions
- 8.7 Understanding the Symmetry in Polynomial Functions
- 8.8 Analyzing Graphs of Polynomial Functions Review
- 8.9 Sketching Graphs of Polynomial Functions
- 8.10 Using the Remainder Theorem to Evaluate Polynomial Functions
- 8.11 Using the Factor Theorem to Factor Polynomials
- 8.12 Using the Rational Zero Theorem to Identify Possible Zeros of Polynomial Functions
- 8.13 Using the Fundamental Theorem of Algebra to Determine the Number of Zeros of Polynomial Functions
- 8.14 Using the Complex Conjugates Theorem and Irrational Conjugates Theorem to Write Polynomial Functions
- 8.15 Using Descartes’ Rule of Signs to Classify Zeros of Polynomial Functions
- 8.16 Finding Zeros of Polynomial Functions
- 8.17 Zeros of Polynomial Functions Review
- 8.18 Using Polynomial Functions to Solve Word Problems
- 8.19 Comparing Properties of Two Polynomial Functions Represented in Different Ways

Chapter 9: Operations on Functions

- 9.1 Adding and Subtracting Functions
- 9.2 Multiplying Functions
- 9.3 Dividing Functions
- 9.4 Composing Functions
- 9.5 Finding the Domain of Combinations and Compositions of Functions
- 9.6 Understanding the Inverse of a Function with Graphs and Tables
- 9.7 Understanding the Inverse of a Function with Equations
- 9.8 Finding Inverse Functions
- 9.9 Understanding the Horizontal Line Test
- 9.10 Using Operations on Functions in Word Problems

Chapter 10: Radical Expressions, Equations, and Functions

- 10.1 Evaluating Radical Expressions
- 10.2 Simplifying Radical Expressions
- 10.3 Rationalizing Denominators of Radical Expressions
- 10.4 Simplifying Radical Expressions Using Rational Exponents
- 10.5 Solving Radical Equations
- 10.6 Using Radical Equations to Solve Word Problems
- 10.7 Understanding Radical Functions
- 10.8 Identifying Properties of Parent Graphs of Radical Functions
- 10.9 Graphing and Analyzing Square Root and Cube Root Functions
- 10.10 Comparing Properties of Two Radical Functions Represented in Different Ways

Chapter 11: Rational Expressions, Equations, and Functions

- 11.1 Solving with Direct and Joint Variation
- 11.2 Solving with Inverse and Combined Variation
- 11.3 Determining the Type of Variation from Graphs and Tables
- 11.4 Determining the Type of Variation from Equations
- 11.5 Solving Word Problems with Different Types of Variation
- 11.6 Simplifying, Multiplying, and Dividing Rational Expressions
- 11.7 Adding and Subtracting Rational Expressions
- 11.8 Simplifying Rational Expressions with Multiple Operations
- 11.9 Solving Rational Equations
- 11.10 Solving Rational Inequalities
- 11.11 Using Rational Equations and Inequalities to Solve Word Problems
- 11.12 Identifying Undefined Values in Rational Expressions
- 11.13 Understanding Asymptotes, Jumps, and Points of Discontinuity of Graphs
- 11.14 Finding Vertical Asymptotes of Rational Functions
- 11.15 Finding Horizontal Asymptotes of Rational Functions
- 11.16 Finding Slant Asymptotes of Rational Functions
- 11.17 Finding Points of Discontinuity of Rational Functions
- 11.18 Finding Asymptotes and Points of Discontinuity of Rational Functions Review
- 11.19 Graphing Rational Functions
- 11.20 Determining the Domain and Range of Rational Functions
- 11.21 Using Rational Functions and their Graphs to Solve Word Problems

Chapter 12: Exponential and Logarithmic Functions

- 12.1 Graphing Exponential Functions by Hand
- 12.2 Identifying Properties of Exponential Parent Graphs
- 12.3 Graphing Exponential Functions with Transformations
- 12.4 Graphing the Natural Exponential Function by Hand
- 12.5 Solving Word Problems of Compound Interest
- 12.6 Solving Word Problems of Growth and Decay
- 12.7 Interpreting Parts of Exponential Functions
- 12.8 Evaluating Logarithms
- 12.9 Evaluating and Solving Logarithms Using their Properties
- 12.10 Graphing Logarithmic Functions by Hand
- 12.11 Identifying Properties of Logarithmic Parent Graphs
- 12.12 Graphing Logarithmic Functions with Transformations
- 12.13 Graphing the Natural Logarithmic Function by Hand
- 12.14 Evaluating Natural Logarithms Using their Properties
- 12.15 Understanding Properties of Logarithms
- 12.16 Expanding and Condensing Logarithms
- 12.17 Using Properties to Solve Simple Exponential and Logarithmic Equations
- 12.18 Solving Multi-Step Exponential Equations
- 12.19 Solving Multi-Step Logarithmic Equations
- 12.20 Using the Change of Base Formula to Evaluate Logarithmic Functions
- 12.21 Using Exponential and Logarithmic Functions to Solve Word Problems
- 12.22 Writing Equations for Exponential Functions to Solve Word Problems

Chapter 13: Conic Sections

- 13.1 Identifying the Intersection of a Double-Napped Cone and a Plane
- 13.2 Using the Midpoint and Distance Formulas Review
- 13.3 Understanding Features of a Circle
- 13.4 Writing an Equation of a Circle
- 13.5 Graphing Circles
- 13.6 Understanding Features of an Ellipse
- 13.7 Writing an Equation of an Ellipse
- 13.8 Graphing Ellipses
- 13.9 Understanding Features of a Parabola
- 13.10 Writing an Equation of a Parabola
- 13.11 Graphing Parabolas
- 13.12 Understanding Features of a Hyperbola
- 13.13 Writing an Equation of a Hyperbola
- 13.14 Graphing Hyperbolas
- 13.15 Rewriting Equations of Conics in Standard Form
- 13.16 Classifying Conic Sections
- 13.17 Using Conic Sections to Solve Word Problems
- 13.18 Solving Nonlinear Systems of Equations
- 13.19 Solving Nonlinear Systems of Inequalities
- 13.20 Using Nonlinear Systems in Word Problems

Chapter 14: Trigonometric Graphs, Identities, and Equations

- 14.1 Evaluating Trigonometric Ratios in Right Triangles
- 14.2 Evaluating Trigonometric Ratios for Special Angles
- 14.3 Solving for Sides in Right Triangles Using Trigonometric Ratios
- 14.4 Solving for Angles in Right Triangles Using Trigonometric Ratios
- 14.5 Using Trigonometric Ratios to Solve Word Problems
- 14.6 Understanding Angles in Standard Position
- 14.7 Understanding Radian and Degree Measure of an Angle
- 14.8 Evaluating Six Trigonomitric Ratios of Any Angle Using a Unit Circle
- 14.9 Evaluating Six Trigonomitric Ratios of Any Angle Using a Reference Angle
- 14.10 Applying the Law of Sines
- 14.11 Applying the Law of Cosines
- 14.12 Using the Law of Sines and the Law of Cosines to Solve Word Problems
- 14.13 Verifying Trigonometric Identities
- 14.14 Evaluating Trigonometric Functions Using Trigonometric Identities
- 14.15 Understanding Graphs of Sine and Cosine Functions (intercepts, symmetry, amplitude, midline, period, frequency)
- 14.16 Graphing Sine and Cosine Functions
- 14.17 Understanding Graphs of Cosecant and Secant Functions
- 14.18 Graphing Sine and Cosine Functions Cosecant and Secant Functions
- 14.19 Understanding Graphs of Tangent and Cotangent Functions
- 14.20 Graphing Tangent and Cotangent Functions
- 14.21 Identifying Trigonometric Functions from the Graph
- 14.22 Writing Trigonometric Functions with Specified Parameters
- 14.23 Using Trigonometric Functions to Solve Word Problems

Chapter 15: Sequences and Series

- 15.1 Generating Sequences Using an Explicit Formula
- 15.2 Generating Sequences Using a Recursive Formula
- 15.3 Writing a Recursive Formula for a Sequence
- 15.4 Writing an Explicit Formula for a Sequence
- 15.5 Finding terms of a Sequence
- 15.6 Working with Arithmetic Sequences (identify, find terms, find arithmetic mean)
- 15.7 Working with Geometric Sequences (identify, find terms, find geometic mean)
- 15.8 Writing Equations with Arithmetic and Geometric Sequences
- 15.9 Understanding Series and Summation Notation
- 15.10 Finding and Using the Sum of Finite Arithmetic Series
- 15.11 Relating Arithmetic Sequences and Series to Linear Functions (graph, write a linear function for a sequence, slope=d)
- 15.12 Finding and Using the Sum of Finite Geometric Series
- 15.13 Relating Geometric Sequences to Exponential Functions (graph, write a linear function for a sequence)
- 15.14 Working with Infinite Geometric Series (determine whether converges or diverges, if converges, find the sum)

Chapter 16: Statistics

- 16.1 Finding Measures of Central Tendency and Dispersion Review
- 16.2 Understanding a Normal Distribution
- 16.3 Determining Situations that Fit to a Normal Distribution
- 16.4 Using the Mean and Standard Deviation to Predict Distributions
- 16.5 Estimating Population Percentages Using the Empirical Rule
- 16.6 Estimating Population Percentages Using z-scores and Statistics Tables
- 16.7 Calculating Area Under the Normal Curve Using Technology
- 16.8 Determining Populations, Samples, Parameters, and Statistics from a Statistical Question
- 16.9 Selecting Unbiased, Representative, and Random Samples Review
- 16.10 Understanding Probability Sampling Methods
- 16.11 Determining the Best Sampling Method
- 16.12 Using a Random Number Simulation to Reduce a Bias
- 16.13 Understanding the Process of Testing a Hypothesis
- 16.14 Testing a Hypothesis Using Simulations
- 16.15 Determining if a Model is Consistent with Results Using Simulations
- 16.16 Using Sample Surveys to Make Inferences about Population
- 16.17 Using Statistical Experiments to Make Inferences about Population
- 16.18 Using Observational Studies to Make Inferences about Population
- 16.19 Determining the Best Method to Collect Data
- 16.20 Constructing Confidence Intervals
- 16.21 Estimating Population Parameters
- 16.22 Comparing Two Populations by Conducting a Hypothesis Test
- 16.23 Comparing Two Populations by Constructing Confidence Intervals
- 16.24 Constructing Statistical Reports
- 16.25 Evaluating Statistical Reports
- 16.26 Finding Probability Distributions and Expected Values
- 16.27 Using Probabilities and Expected Values to Make Decisions

## Precalculus

Chapter 1: Functions

- 1.1 Understanding Functions in Tables and Graphs
- 1.2 Understanding Functions in Equations
- 1.3 Understanding Function Families
- 1.4 Understanding Function Transformations
- 1.5 Graphing with Transformations
- 1.6 Identifying Domain and Range of Functions
- 1.7 Identifying Minima and Maxima of Functions
- 1.8 Identifying Increasing and Decreasing Intervals of Functions
- 1.9 Identifying Symmetry in Functions
- 1.10 Identifying Real Zeros and Intercepts of Functions
- 1.11 Approximating Real Zeros of Functions Using the Intermediate Value Theorem
- 1.12 Identifying Positive and Negative Intervals of Functions
- 1.13 Identifying End Behavior and Asymptotes of Functions
- 1.14 Identifying Discontinuities and Intervals of Continuity of Functions

Chapter 2: Function Composition and Inverse

- 2.1 Finding a Composition of Functions with Equations
- 2.2 Finding a Composition of Functions with Graphs
- 2.3 Identifying the Domain and Range of a Composition of Functions
- 2.4 Decomposing Functions
- 2.5 Using Composition of Functions in Word Problems
- 2.6 Finding the Values of an Inverse Function from a Table
- 2.7 Finding the Values of an Inverse Function from a Graph
- 2.8 Determining Whether Two Function are Inverses of Each Other
- 2.9 Determining Whether a Function is Invertible
- 2.10 Finding the Equation of the Inverse of an Invertible Function
- 2.11 Restricting the Domain to Produce an Invertible Function
- 2.12 Using Inverse Functions in Word Problems

Chapter 3: The Complex Number System

- 3.1 Performing Operations with Imaginary Numbers
- 3.2 Performing Operations with Complex Numbers
- 3.3 Performing Operations with Complex Conjugates
- 3.4 Representing Addition, Subtraction, Multiplication, and Conjugation on the Complex Plane
- 3.5 Calculating the Distance and the Midpoint Between Complex Numbers

Chapter 4: Trigonometry and Its Applications

- 4.1 Evaluating Trigonometric Functions of Acute and Quadrantal Angles Review
- 4.2 Evaluating Trigonometric Functions of Angles in Quadrants II, III and $text{IV}$ Review
- 4.3 Evaluating Trigonometric Functions Using Periodicity
- 4.4 Evaluating Trigonometric Functions Using Symmetry
- 4.5 Evaluating Trigonometric Functions Using Fundamental Trigonometric Identities
- 4.6 Understanding Cofunction Trigonometric Identities
- 4.7 Simplifying Trigonometric Expressions
- 4.8 Evaluating Trigonometric Functions Using the Sum and Difference Formulas
- 4.9 Evaluating Trigonometric Functions Using Double-Angle Formulas
- 4.10 Evaluating Trigonometric Functions Using Half-Angle Formulas
- 4.11 Understanding Inverse Trigonometric Functions
- 4.12 Evaluating Compositions of Trigonometric Functions and Inverse Trigonometric Functions
- 4.13 Using Inverse Trigonometric Functions in Word Problems
- 4.14 Solving Trigonometric Equations Using Trigonometric Identities and Inverse Trigonometric Functions
- 4.15 Using Trigonometric Equations in Word Problems

Chapter 5: Vectors

- 5.1 Understanding Vectors as Sets of Directed Line Segments
- 5.2 Understanding Vectors and Their Attributes in the Coordinate Plane
- 5.3 Understanding Equal Vectors
- 5.4 Writing Vectors in Component Form
- 5.5 Determining the Magnitude of a Vector in Component Form
- 5.6 Determining the Direction Angle of a Vector in Component Form
- 5.7 Determining the Component Form of a Vector Given the Magnitude and Direction Angle
- 5.8 Adding Vectors Graphically
- 5.9 Adding Vectors Using Components
- 5.10 Subtracting Vectors Graphically
- 5.11 Subtracting Vectors Using Components
- 5.12 Determining the Magnitude and Direction of Sums and Differences of Vectors
- 5.13 Multiplying Vectors by Scalars Graphically
- 5.14 Multiplying Vectors by Scalars Using Components
- 5.15 Determining the Magnitude and Direction of Scalar Multiples of Vectors
- 5.16 Determining Unit Vectors
- 5.17 Writing a Linear Combination of Unit Vectors
- 5.18 Using Multi-Step Vector Operations
- 5.19 Finding Dot Products of Two Vectors
- 5.20 Finding the Angle Between Two Vectors
- 5.21 Determining Whether Vectors are Orthogonal
- 5.22 Understanding Equations and Formulas in Three-Dimensions
- 5.23 Understanding Vectors in Three-Dimensions
- 5.24 Using Vectors in Word Problems

Chapter 6: Parametric, Rectangular, and Polar

- 6.1 Finding Rectangular Coordinates Using Parametric Equations
- 6.2 Converting Between Parametric and Rectangular Equations
- 6.3 Graphing Parametric Equations
- 6.4 Plotting Points in the Polar Coordinate System
- 6.5 Graphing Polar Equations
- 6.6 Converting Between Polar and Rectangular Coordinates
- 6.7 Converting Between Polar and Rectangular Equations
- 6.8 Understanding Polar Form of Complex Numbers
- 6.9 Multiplying and Dividing Complex Numbers in Polar Form
- 6.10 Finding Powers of Complex Numbers in Polar Form
- 6.11 Finding n
^{th}Roots of Complex Numbers in Polar Form - 6.12 Using Parametric and Polar Coordinates in Word Problems

Chapter 7: Linear Systems and Matrices

- 7.1 Understanding Matrices
- 7.2 Understanding Systems of Linear Equations as Matrices
- 7.3 Using Gaussian Elimination with Back Substitution in Matrices
- 7.4 Using Gauss-Jordan Elimination in Matrices
- 7.5 Determining Solutions in Matrices
- 7.6 Adding and Subtracting Matrices
- 7.7 Multiplying Scalars and Matrices
- 7.8 Solving Matrix Equations
- 7.9 Multiplying Matrices
- 7.10 Understanding Properties of Square Matrices
- 7.11 Transforming Vectors Using Matrices
- 7.12 Transforming Polygons Using Matrices
- 7.13 Word Problems with Matrices
- 7.14 Finding the Determinant of a 2 x 2 Matrix
- 7.15 Finding Minors and Cofactors of Matrices
- 7.16 Finding the Determinant of Larger Matrices
- 7.17 Solving Systems of Equations Using Cramer’s Rule
- 7.18 Using Determinants to Find Area
- 7.19 Understanding Inverse Matrices
- 7.20 Finding the Inverse of a 2 x 2 Matrix Using a Determinant
- 7.21 Finding Inverse Matrices
- 7.22 Solving Systems of Equations with Inverse Matrices
- 7.23 Encrypting and Decrypting Messages Using Matrices

Chapter 8: The Complex Number System

- 8.1 Constructing a Probability Distribution for Random Variable
- 8.2 Calculating the Expected Value of a Random Variable
- 8.3 Calculating Expected Values Using Theoretical Probability
- 8.4 Calculating Expected Values Using Empirical Probability
- 8.5 Calculating the Expected Payoff for a Game of Chance
- 8.6 Using Expected Values to Make Decisions

Chapter 9: Limits and an Introduction to Calculus

- 9.1 Evaluating Limits in Tables
- 9.2 Evaluating Limits on Graphs
- 9.3 Understanding the Existence of a Limit in Tables
- 9.4 Understanding the Existence of a Limit on Graphs
- 9.5 Understanding the Existence of a Limit in Equations
- 9.6 Evaluating Limits with Direct Substitution
- 9.7 Evaluating Limits with Properties
- 9.8 Evaluating Limits with the Dividing Out Technique
- 9.9 Evaluating Limits with Rationalizing
- 9.10 Understanding the Existence of a Limit by Analyzing Left and Right Behavior
- 9.11 Finding Limits at Infinity
- 9.12 Finding the Slope of a Graph Using Limits
- 9.13 Using Limits to Find the Equation of a Tangent Line
- 9.14 Understanding a Derivative
- 9.15 Approximating Area with Rectangles
- 9.16 Using Summation Notation Approximate the Area Under the Curve
- 9.17 Evaluating Sums Using Summation Formulas and Properties
- 9.18 Writing Sums as Rational Functions
- 9.19 Finding Limits of Sums
- 9.20 Using Limits to Find the Area Under a Curve