Category: Envision Math

Envision Math 2nd Grade Textbook Answer Key | Envision Math Grade 2 Answers

Envision Math Grade 2 Answers Topic 1 Understanding Addition and Subtraction

• Topic 1.1 Writing Addition Number Sentences
• Topic 1.2 Stories About Joining
• Topic 1.3 Writing Subtraction Number Sentences
• Topic 1.4 Stories About Separating
• Topic 1.5 Stories About Comparing
• Topic 1.6 Connecting Addition and Subtraction
• Topic 1.7 Problem Solving
• Topic 1 Test
• Topic 1 Reteaching

Envision Math 2nd Grade Answer Key Topic 2 Addition Strategies

• Topic 2.1 Adding 0, 1, 2
• Topic 2.2 Doubles
• Topic 2.3 Near Doubles
• Topic 2.4 Adding in Any Order
• Topic 2.5 Adding Three Numbers
• Topic 2.6 Making 10 to Add 9
• Topic 2.7 Making 10 to Add 8
• Topic 2.8 Problem Solving
• Topic 2 Test
• Topic 2 Reteaching

Envision Math Grade 2 Answer Key Topic 3 Subtraction Strategies

• Topic 3.1 Subtracting 0, 1, 2
• Topic 3.2 Thinking Addition to Subtract Doubles
• Topic 3.3 Thinking Addition to 10 to Subtract
• Topic 3.4 Thinking Addition to 18 to Subtract
• Topic 3.5 Finding the Missing Part
• Topic 3.6 Problem Solving
• Topic 3 Test
• Topic 3 Reteaching

Envision Math 2nd Grade Textbook Answers Topic 4 Place Value: Numbers to 100

• Topic 4.1 Models for Tens
• Topic 4.2 Models for Tens and Ones
• Topic 4.3 Reading and Writing Numbers
• Topic 4.4 Using Models to Compare Numbers
• Topic 4.5 Using Symbols to Compare Numbers
• Topic 4.6 Before, After, and Between
• Topic 4.7 Order Numbers
• Topic 4.8 Number Patterns on a Hundred Chart
• Topic 4.9 Locating Numbers on the Number Line
• Topic 4.10 Problem Solving
• Topic 4 Test
• Topic 4 Reteaching

Envision Math 2nd Grade Textbook Answer Key Topic 5 Geometry

• Topic 5.1 Flat Surfaces, Vertices, and Edges
• Topic 5.2 Relating Plane Shapes to Solid Figures
• Topic 5.3 Making New Shapes
• Topic 5.4 Cutting Shapes Apart
• Topic 5.5 Problem Solving
• Topic 5 Test
• Topic 5 Reteaching

Envision Math Grade 2 Online Textbook Topic 6 Mental Addition

• Topic 6.1 Adding Tens
• Topic 6.2 Adding Ones
• Topic 6.3 Adding Tens and Ones
• Topic 6.4 Adding on a Hundred Chart
• Topic 6.5 Problem Solving
• Topic 6 Test
• Topic 6 Reteaching

2nd Grade Envision Math Answers Topic 7 Mental Subtraction

• Topic 7.1 Subtracting Tens
• Topic 7.2 Finding Parts of 100
• Topic 7.3 Subtracting on a Hundred Chart
• Topic 7.4 Adding On to Subtract
• Topic 7.5 Problem Solving
• Topic 7 Test
• Topic 7 Reteaching

Envision Math Answer Key Grade 2 Topic 8 Estimating Sums and Differences

• Topic 8.1 Finding the Closest Ten
• Topic 8.2 Estimating Sums
• Topic 8.3 Estimating Differences
• Topic 8.4 Problem Solving
• Topic 8 Test
• Topic 8 Reteaching

Scott Foresman Addison Wesley Envision Math Grade 2 Answers Topic 9 Adding Two-Digit Numbers

• Topic 9.1 Regrouping 10 Ones for 1 Ten
• Topic 9.2 Models to Add Two- and One-Digit Numbers
• Topic 9.3 Adding Two- and One-Digit Numbers
• Topic 9.4 Models to Add Two-Digit Numbers
• Topic 9.5 Adding Two-Digit Numbers
• Topic 9.6 Problem Solving
• Topic 9 Test
• Topic 9 Reteaching

Pearson Envision Math Grade 2 Answer Keys Topic 10 Subtracting Two-Digit Numbers

• Topic 10.1 Regrouping 1 Ten for 10 Ones
• Topic 10.2 Models to Subtract Two and One-Digit Numbers
• Topic 10.3 Subtracting Two- and One-Digit Numbers
• Topic 10.4 Models to Subtract TwoDigit Numbers
• Topic 10.5 Subtracting Two-Digit Numbers
• Topic 10.6 Using Addition to Check Subtraction
• Topic 10.7 Problem Solving
• Topic 10 Test
• Topic 10 Reteaching

Pearson Math Grade 2 Answer Keys Topic 11 Linear Measurement

• Topic 11.1 Understanding Measurement
• Topic 11.2 Measuring Length Using Different Units
• Topic 11.3 Inches
• Topic 11.4 Centimeters
• Topic 11.5 Estimating Measurements
• Topic 11.6 Problem Solving
• Topic 11 Test
• Topic 11 Reteaching

Pearson Education Answer Key Math 2nd Grade Topic 12 Fractions

• Topic 12.1 Wholes and Equal Parts
• Topic 12.2 Unit Fractions and Regions
• Topic 12.3 Non-Unit Fractions and Regions
• Topic 12.4 Fractions of a Set
• Topic 12.5 Understanding 1 as a Fraction
• Topic 12.6 Fractions and Decimals
• Topic 12.7 Problem Solving
• Topic 12 Test
• Topic 12 Reteaching

Envision Math Grade 2 Answers Topic 13 Time

• Topic 13.1 Telling Time to Five Minutes
• Topic 13.2 Telling Time to the Quarter Hour
• Topic 13.3 Telling Time Before and After the Hour
• Topic 13.4 Estimating Time
• Topic 13.5 Elapsed Time
• Topic 13.6 Using a Calendar
• Topic 13.7 Equivalent Times
• Topic 13.8 Problem Solving
• Topic 13 Test
• Topic 13 Reteaching

Envision Math 2nd Grade Answer Key Topic 14 Data and Graphs

• Topic 14.1 Organizing Data
• Topic 14.2 Range and Mode
• Topic 14.3 Pictographs
• Topic 14.4 Bar Graphs
• Topic 14.5 Problem Solving
• Topic 14 Test
• Topic 14 Reteaching

Envision Math Grade 2 Answer Key Topic 15 Place Value: Numbers to 1,000

• Topic 15.1 Reading and Writing Numbers to 1,000
• Topic 15.2 Changing Numbers by Hundreds and Tens
• Topic 15.3 Patterns with Numbers on Hundreds Charts
• Topic 15.4 Comparing Numbers
• Topic 15.5 Before, After, and Between
• Topic 15.6 Ordering Numbers
• Topic 15.7 Problem Solving
• Topic 15 Test
• Topic 15 Reteaching

Envision Math 2nd Grade Textbook Answers Topic 16 Counting Money

• Topic 16.1 Dime, Nickel, and Penny
• Topic 16.2 Quarter and Half-Dollar
• Topic 16.3 Counting Collections of Coins
• Topic 16.4 Comparing Collections of Coins
• Topic 16.5 Ways to Show the Same Amount
• Topic 16.6 One Dollar
• Topic 16.7 Problem Solving
• Topic 16 Test
• Topic 16 Reteaching

Envision Math 2nd Grade Textbook Answer Key Topic 17 Three-Digit Addition and Subtraction

• Topic 17.1 Mental Math
• Topic 17.2 Estimating Sums
• Topic 17.3 Models for Adding with Three-Digit Numbers
• Topic 17.4 Adding Three-Digit Numbers
• Topic 17.5 Mental Math: Ways to Find Missing Parts
• Topic 17.6 Estimating Differences
• Topic 17.7 Models for Subtracting with Three-Digit Numbers
• Topic 17.8 Subtracting Three-Digit Numbers
• Topic 17.9 Problem Solving
• Topic 17 Test
• Topic 17 Reteaching

Envision Math Grade 2 Online Textbook Topic 18 Multiplication Concepts

• Topic 18.1 Repeated Addition and Multiplication
• Topic 18.2 Building Arrays
• Topic 18.3 Writing Multiplication Stories
• Topic 18.4 Vertical Form
• Topic 18.5 Multiplying in Any Order
• Topic 18.6 Problem Solving
• Topic 18 Test
• Topic 18 Reteaching

2nd Grade Envision Math Answers Topic 19 Multiplication Facts

• Topic 19.1 2 and 5 as Factors
• Topic 19.2 10 as a Factor
• Topic 19.3 Practicing with 2s, 5s, and 10s
• Topic 19.4 Problem Solving
• Topic 19 Test
• Topic 19 Reteaching

Envision Math Answer Key Grade 2 Topic 20 Division Concepts and Facts

• Topic 20.1 Division as Sharing
• Topic 20.2 Division as Repeated Subtraction
• Topic 20.3 Writing Division Stories
• Topic 20.4 Relating Multiplication and Division
• Topic 20.5 Fact Families for 2 and 5
• Topic 20.6 Fact Families for 10
• Topic 20.7 Division and Remainders
• Topic 20.8 Problem Solving
• Topic 20 Test
• Topic 20 Reteaching

Envision Math 6th Grade Textbook Answer Key | Envision Math Grade 6 Answers

Envision Math Grade 6 Answers Topic 1 Numeration

• Topic 1.1 Place Value
• Topic 1.2 Comparing and Ordering Whole Numbers
• Topic 1.3 Exponents and Place Value
• Topic 1.4 Decimal Place Value
• Topic 1.5 Comparing and Ordering Decimals
• Topic 1.6 Problem Solving
• Topic 1 Test Prep
• Topic 1 Reteaching

Envision Math 6th Grade Answer Key Topic 2 Variables, Expressions, and Properties

• Topic 2.1 Using Variables to Write Expressions
• Topic 2.2 Properties of Operations
• Topic 2.3 Order of Operations
• Topic 2.4 The Distributive Property
• Topic 2.5 Mental Math
• Topic 2.6 Evaluating Expressions
• Topic 2.7 Using Expressions to Describe Patterns
• Topic 2.8 Problem Solving
• Topic 2 Test Prep
• Topic 2 Reteaching

Envision Math Grade 6 Answer Key Topic 3 Whole Numbers and Decimals

• Topic 3.1 Estimating with Whole Numbers
• Topic 3.2 Estimating with Decimals
• Topic 3.3 Adding and Subtracting
• Topic 3.4 Multiplying
• Topic 3.5 Dividing by a Whole Number
• Topic 3.6 Dividing by a Decimal
• Topic 3.7 Evaluating Expressions
• Topic 3.8 Problem Solving
• Topic 3 Test Prep
• Topic 3 Reteaching

Envision Math 6th Grade Textbook Answers Topic 4 Solving Equations

• Topic 4.1 Properties of Equality
• Topic 4.2 Solving Addition and Subtraction Equations
• Topic 4.3 Problem Solving
• Topic 4.4 Solving Multiplication and Division Equations
• Topic 4.5 Problem Solving
• Topic 4 Test Prep
• Topic 4 Reteaching

Envision Math 6th Grade Textbook Answer Key Topic 5 Integers

• Topic 5.1 Understanding Integers
• Topic 5.2 Comparing and Ordering Integers
• Topic 5.3 Adding Integers
• Topic 5.4 Subtracting Integers
• Topic 5.5 Multiplying Integers
• Topic 5.6 Dividing Integers
• Topic 5.7 Solving Equations with Integers
• Topic 5.8 Problem Solving
• Topic 5 Test Prep
• Topic 5 Reteaching

Envision Math Grade 6 Online Textbook Topic 6 Properties of Two-Dimensional Figures

• Topic 6.1 Basic Geometric Ideas
• Topic 6.2 Measuring and Drawing Angles
• Topic 6.3 Angle Pairs
• Topic 6.4 Triangles
• Topic 6.5 Quadrilaterals
• Topic 6.6 Circles
• Topic 6.7 Problem Solving
• Topic 6 Test Prep
• Topic 6 Reteaching

6th Grade Envision Math Answers Topic 7 Number and Fraction Concepts

• Topic 7.1 Prime Factorization
• Topic 7.2 Greatest Common Factor
• Topic 7.3 Understanding Fractions
• Topic 7.4 Equivalent Fractions
• Topic 7.5 Fractions in Simplest Form
• Topic 7.6 Problem Solving
• Topic 7 Test Prep
• Topic 7 Reteaching

Envision Math Answer Key Grade 6 Topic 8 Decimals, Fractions, and Mixed Numbers

• Topic 8.1 Fractions and Division
• Topic 8.2 Fractions and Decimals
• Topic 8.3 Improper Fractions and Mixed Numbers
• Topic 8.4 Decimal Forms of Fractions and Mixed Numbers
• Topic 8.5 Rational Numbers on a Number Line
• Topic 8.6 Problem Solving
• Topic 8 Test Prep
• Topic 8 Reteaching

Scott Foresman Addison Wesley Envision Math Grade 6 Answers Topic 9 Adding and Subtracting Fractions and Mixed Numbers

• Topic 9.1 Adding and Subtracting: Like Denominators
• Topic 9.2 Least Common Multiple
• Topic 9.3 Adding and Subtracting: Unlike Denominators
• Topic 9.4 Estimating Sums and Differences of Mixed Numbers
• Topic 9.5 Adding Mixed Numbers
• Topic 9.6 Subtracting Mixed Numbers
• Topic 9.7 Problem Solving
• Topic 9 Test Prep
• Topic 9 Reteaching

Pearson Envision Math Grade 6 Answer Keys Topic 10 Multiplying and Dividing Fractions and Mixed Numbers

• Topic 10.1 Multiplying Fractions
• Topic 10.2 Understanding Division of Fractions
• Topic 10.3 Dividing Fractions
• Topic 10.4 Estimating Products and Quotients
• Topic 10.5 Multiplying Mixed Numbers
• Topic 10.6 Dividing Mixed Numbers
• Topic 10.7 Solving Equations
• Topic 10.8 Problem Solving
• Topic 10 Test Prep
• Topic 10 Reteaching

Pearson Math Grade 6 Answer Keys Topic 11 Ratios, Rates, and Proportions

• Topic 11.1 Understanding Ratios
• Topic 11.2 Equal Ratios and Proportions
• Topic 11.3 Understanding Rates and Unit Rates
• Topic 11.4 Comparing Rates
• Topic 11.5 Distance, Rate, and Time
• Topic 11.6 Problem Solving
• Topic 11 Test Prep
• Topic 11 Reteaching

Pearson Education Answer Key Math 6th Grade Topic 12 Solving Proportions

• Topic 12.1 Using Ratio Tables
• Topic 12.2 Using Unit Rates
• Topic 12.3 Using Cross Multiplication
• Topic 12.4 Problem Solving
• Topic 12.5 Similar Figures
• Topic 12.6 Maps and Scale Drawings
• Topic 12 Test Prep
• Topic 12 Reteaching

Envision Math Grade 6 Answers Topic 13 Understanding Percent

• Topic 13.1 Understanding Percent
• Topic 13.2 Fractions, Decimals, and Percents
• Topic 13.3 Percents Greater Than 100 and Less Than 1
• Topic 13.4 Estimating Percent
• Topic 13.5 Finding the Percent of a Number
• Topic 13.6 Tips, Taxes, Discount, and Simple Interest
• Topic 13.7 Problem Solving
• Topic 13 Test Prep
• Topic 13 Reteaching

Envision Math 6th Grade Answer Key Topic 14 Equations and Graphs

• Topic 14.1 Equations With More Than One Operation
• Topic 14.2 Patterns and Equations
• Topic 14.3 More Patterns and Equations
• Topic 14.4 Graphing Points in a Coordinate Plane
• Topic 14.5 Graphing Equations
• Topic 14.6 Graphing Equations with More than One Operation
• Topic 14.7 Problem Solving
• Topic 14 Test Prep
• Topic 14 Reteaching

Envision Math Grade 6 Answer Key Topic 15 Measurement

• Topic 15.1 Converting Customary Measures
• Topic 15.2 Converting Metric Measures
• Topic 15.3 Relating Customary and Metric Measures
• Topic 15.4 Problem Solving
• Topic 15 Test Prep
• Topic 15 Reteaching

Envision Math 6th Grade Textbook Answers Topic 16 Perimeter and Area

• Topic 16.1 Perimeter
• Topic 16.2 Area of Squares and Rectangles
• Topic 16.3 Area of Parallelograms and Triangles
• Topic 16.4 Circumference
• Topic 16.5 Area of a Circle
• Topic 16.6 Problem Solving
• Topic 16 Test Prep
• Topic 16 Reteaching

Envision Math 6th Grade Textbook Answer Key Topic 17 Volume

• Topic 17.1 Solid Figures
• Topic 17.2 Volume of Rectangular Prisms
• Topic 17.3 Volume of Triangular Prisms and Cylinders
• Topic 17.4 Problem Solving
• Topic 17 Test Prep
• Topic 17 Reteaching

Envision Math Grade 6 Online Textbook Topic 18 Graphs

• Topic 18.1 Reading and Making Graphs
• Topic 18.2 Circle Graphs
• Topic 18.3 Misleading Graphs
• Topic 18.4 Problem Solving
• Topic 18 Test Prep
• Topic 18 Reteaching

6th Grade Envision Math Answers Topic 19 Data and Statistics

• Topic 19.1 Mean, Median, Mode, and Range
• Topic 19.2 Line Plots
• Topic 19.3 Effects of Outliers
• Topic 19.4 Stem-and-Leaf Plots
• Topic 19.5 Appropriate Use of Statistical Measures
• Topic 19.6 Sampling Methods
• Topic 19.7 Statistics: Population and Sample Data
• Topic 19.8 Bias in Sampling and Surveys
• Topic 19.9 Using Statistics to Draw Conclusions
• Topic 19.10 Problem Solving
• Topic 19 Test Prep
• Topic 19 Reteaching

Envision Math Answer Key Grade 6 Topic 20 Probability

• Topic 20.1 Counting Methods
• Topic 20.2 Permutations and Combinations
• Topic 20.3 Probability
• Topic 20.4 Theoretical and Experimental Probability
• Topic 20.5 Adding Probabilities
• Topic 20.6 Independent and Dependent Events
• Topic 20.7 Problem Solving
• Topic 20 Test Prep
• Topic 20 Reteaching

Envision Math 5th Grade Textbook Answer Key | Envision Math Grade 5 Answers

Envision Math Grade 5 Answers Topic 1 Numeration

• Topic 1.1 Place Value
• Topic 1.2 Comparing and Ordering Whole Numbers
• Topic 1.3 Decimal Place Value
• Topic 1.4 Comparing and Ordering Decimals
• Topic 1.5 Problem Solving
• Topic 1 Test Prep
• Topic 1 Reteaching

Envision Math 5th Grade Answer Key Topic 2 Addition and Subtraction Number Sense

• Topic 2.1 Mental Math
• Topic 2.2 Rounding Whole Numbers and Decimals
• Topic 2.3 Estimating Sums and Differences
• Topic 2.4 Adding and Subtracting
• Topic 2.5 Adding Decimals
• Topic 2.6 Subtracting Decimals
• Topic 2.7 Problem Solving
• Topic 2 Test Prep
• Topic 2 Reteaching

Envision Math Grade 5 Answer Key Topic 3 Reviewing Multiplication of Whole Numbers

• Topic 3.1 Multiplication Properties
• Topic 3.2 Estimating Products
• Topic 3.3 Multiplying by 1-Digit Numbers
• Topic 3.4 Multiplying by 2-Digit Numbers
• Topic 3.5 Estimating and Multiplying with Greater Numbers
• Topic 3.6 Exponents
• Topic 3.7 Problem Solving
• Topic 3 Test Prep
• Topic 3 Reteaching

Envision Math 5th Grade Textbook Answers Topic 4 Division of Whole Numbers

• Topic 4.1 Using Patterns to Divide
• Topic 4.2 Estimating Quotients
• Topic 4.3 Connecting Models and Symbols
• Topic 4.4 Dividing by 1-Digit Divisors
• Topic 4.5 Zeros in the Quotient
• Topic 4.6 Dividing by 2-Digit Divisors
• Topic 4.7 More Dividing by 2-Digit Divisors
• Topic 4.8 Division: Estimating and Dividing with Greater Numbers
• Topic 4.9 Problem Solving
• Topic 4 Test Prep
• Topic 4 Reteaching

Envision Math 5th Grade Textbook Answer Key Topic 5 Variables and Expressions

• Topic 5.1 Variables and Expressions
• Topic 5.2 Patterns and Expressions
• Topic 5.3 More Patterns and Expressions
• Topic 5.4 Distributive Property
• Topic 5.5 Order of Operations
• Topic 5.6 Problem Solving
• Topic 5 Test Prep
• Topic 5 Reteaching

Envision Math Grade 5 Online Textbook Topic 6 Multiplying Decimals

• Topic 6.1 Multiplying Decimals by 10, 100, or 1,000
• Topic 6.2 Multiplying a Whole Number and a Decimal
• Topic 6.3 Estimating the Product of a Whole Number and a Decimal
• Topic 6.4 Multiplying Two Decimals
• Topic 6.5 Multiplying with Zeros in the Product
• Topic 6.6 Problem Solving
• Topic 6 Test Prep
• Topic 6 Reteaching

5th Grade Envision Math Answers Topic 7 Dividing Decimals

• Topic 7.1 Dividing Decimals by 10, 100, or 1,000
• Topic 7.2 Dividing a Decimal by a Whole Number
• Topic 7.3 Estimation: Decimals Divided by Whole Numbers
• Topic 7.4 Dividing a Decimal by a Decimal
• Topic 7.5 Problem Solving
• Topic 7 Test Prep
• Topic 7 Reteaching

Envision Math Answer Key Grade 5 Topic 8 Shapes

• Topic 8.1 Basic Geometric Ideas
• Topic 8.2 Measuring and Classifying Angles
• Topic 8.3 Polygons
• Topic 8.4 Triangles
• Topic 8.5 Quadrilaterals
• Topic 8.6 Problem Solving
• Topic 8 Test Prep
• Topic 8 Reteaching

Scott Foresman Addison Wesley Envision Math Grade 5 Answers Topic 9 Factors and Multiples

• Topic 9.1 Understanding Factors
• Topic 9.2 Prime and Composite Numbers
• Topic 9.3 Finding Prime Factors
• Topic 9.4 Common Factors and Greatest Common Factor
• Topic 9.5 Problem Solving
• Topic 9 Test Prep
• Topic 9 Reteaching

Pearson Envision Math Grade 5 Answer Keys Topic 10 Fractions, Mixed Numbers, and Decimals

• Topic 11.1 Adding and Subtracting Fractions with Like Denominators
• Topic 11.2 Common Multiples and LCM
• Topic 11.3 Adding Fractions with Unlike Denominators
• Topic 11.4 Subtracting Fractions with Unlike Denominators
• Topic 11.5 Adding Mixed Numbers
• Topic 11.6 Subtracting Mixed Numbers
• Topic 11.7 Problem Solving
• Topic 11 Test Prep
• Topic 11 Reteaching

Pearson Math Grade 5 Answer Keys Topic 11 Adding and Subtracting Fractions and Mixed Numbers

• Topic 10.1 Meaning of Fractions
• Topic 10.2 Fractions and Division
• Topic 10.3 Mixed Numbers and Improper Fractions
• Topic 10.4 Equivalent Fractions
• Topic 10.5 Comparing and Ordering Fractions and Mixed Numbers
• Topic 10.6 Fractions in Simplest Form
• Topic 10.7 Tenths and Hundredths
• Topic 10.8 Thousandths
• Topic 10.9 Fractions and Decimals on the Number Line
• Topic 10.10 Problem Solving
• Topic 10 Test Prep
• Topic 10 Reteaching

Pearson Education Answer Key Math 5th Grade Topic 12 Multiplying and Dividing Fractions and Mixed Numbers

• Topic 12.1 Multiplying Fractions and Whole Numbers
• Topic 12.2 Multiplying Two Fractions
• Topic 12.3 Dividing a Whole Number by a Fraction
• Topic 12.4 Dividing Two Fractions
• Topic 12.5 Problem Solving
• Topic 12.6 Multiplying Mixed Numbers
• Topic 12.7 Dividing Mixed Numbers
• Topic 12.8 Problem Solving
• Topic 12 Test Prep
• Topic 12 Reteaching

Envision Math Grade 3 Answers Topic 13 Length, Perimeter, and Area

• Topic 13.1 Using Customary Units of Length
• Topic 13.2 Using Metric Units of Length
• Topic 13.3 Perimeter
• Topic 13.4 Area of Squares and Rectangles
• Topic 13.5 Area of Parallelograms
• Topic 13.6 Area of Triangles
• Topic 13.7 Problem Solving
• Topic 13 Test Prep
• Topic 13 Reteaching

Envision Math 5th Grade Answer Key Topic 14 Solids

• Topic 14.1 Solids
• Topic 14.2 Relating Shapes and Solids
• Topic 14.3 Surface Area
• Topic 14.4 Views of Solids
• Topic 14.5 Models and Volume
• Topic 14.6 Volume
• Topic 14.7 Problem Solving
• Topic 14 Test Prep
• Topic 14 Reteaching

Envision Math Grade 3 Answer Key Topic 15 Integers

• Topic 15.1 Understanding Integers
• Topic 15.2 Comparing and Ordering Integers
• Topic 15.3 Integers and the Number Line
• Topic 15.4 Adding Integers
• Topic 15.5 Subtracting Integers
• Topic 15.6 Simplifying Expressions
• Topic 15.7 Problem Solving
• Topic 15 Test Prep
• Topic 15 Reteaching

Envision Math 5th Grade Textbook Answers Topic 16 Solving and Writing Equations

• Topic 16.1 Solving Addition and Subtraction Equations
• Topic 16.2 Solving Multiplication and Division Equations
• Topic 16.3 Problem Solving
• Topic 16.4 Patterns and Equations
• Topic 16.5 More Patterns and Equations
• Topic 16.6 Problem Solving
• Topic 16 Test Prep
• Topic 16 Reteaching

Envision Math 5th Grade Textbook Answer Key Topic 17 Percent

• Topic 17.1 Understanding Ratios
• Topic 17.2 Understanding Percent
• Topic 17.3 Percents, Fractions, and Decimals
• Topic 17.4 Finding Percent of a Whole Number
• Topic 17.6 Problem Solving
• Topic 17 Test Prep
• Topic 17 Reteaching

Envision Math Grade 5 Online Textbook Topic 18 Equations and Graphs

• Topic 18.1 Ordered Pairs
• Topic 18.2 Line Graphs
• Topic 18.3 Graphing Equations
• Topic 18.4 Problem Solving
• Topic 18 Test Prep
• Topic 18 Reteaching

5th Grade Envision Math Answers Topic 19 Graphs and Data

• Topic 19.1 Bar Graphs and Picture Graphs
• Topic 19.2 Histograms
• Topic 19.3 Circle Graphs
• Topic 19.4 Make a Graph
• Topic 19.5 Mean
• Topic 19.6 Median, Mode, and Range
• Topic 19.7 Outcomes
• Topic 19.8 Writing Probability as a Fraction
• Topic 19.9 Problem Solving
• Topic 19 Test Prep
• Topic 19 Reteaching

Envision Math Answer Key Grade 5 Topic 20 Constructions

• Topic 20.1 Constructing Angles
• Topic 20.2 Constructing Lines
• Topic 20.3 Constructing Shapes
• Topic 20.4 Problem Solving
• Topic 20 Test Prep
• Topic 20 Reteaching

Envision Math 3rd Grade Textbook Answer Key | Envision Math Grade 3 Answers

Envision Math Grade 3 Answers Topic 1 Numeration

• Topic 1.1 Hundreds
• Topic 1.2 Thousands
• Topic 1.3 Greater Numbers
• Topic 1.4 Comparing Numbers
• Topic 1.5 Ordering Numbers
• Topic 1.6 Problem Solving
• Topic 1 Test Prep
• Topic 1 Reteaching

Envision Math 3rd Grade Answer Key Topic 2 Rounding

• Topic 2.1 Finding the Halfway Number
• Topic 2.2 Rounding 2- and 3-Digit Numbers
• Topic 2.3 Rounding 4-Digit Numbers
• Topic 2.4 Problem Solving
• Topic 2 Test Prep
• Topic 2 Reteaching

Envision Math Grade 3 Answer Key Topic 3 Adding Whole Numbers

• Topic 3.1 Addition Meaning and Properties
• Topic 3.2 Adding on a Hundred Chart
• Topic 3.3 Using Mental Math to Add
• Topic 3.4 Estimating Sums
• Topic 3.5 Adding 2-Digit Numbers
• Topic 3.6 Adding 3- and 4-Digit Numbers
• Topic 3.7 Adding 3 or More Numbers
• Topic 3.8 Problem Solving
• Topic 3 Test Prep
• Topic 3 Reteaching

Envision Math 3rd Grade Textbook Answers Topic 4 Subtracting Whole Numbers

• Topic 4.1 Subtraction Meanings
• Topic 4.2 Subtracting on a Hundred Chart
• Topic 4.3 Using Mental Math to Subtract
• Topic 4.4 Estimating Differences
• Topic 4.5 Subtracting 2-Digit Numbers
• Topic 4.6 Models for Subtracting 3-Digit Numbers
• Topic 4.7 Subtracting 3-Digit Numbers
• Topic 4.8 Subtracting Greater Numbers
• Topic 4.9 Subtracting Across Zero
• Topic 4.10 Problem Solving
• Topic 4 Test Prep
• Topic 4 Reteaching

Envision Math 3rd Grade Textbook Answer Key Topic 5 Solids and Shapes

• Topic 5.1 Solid Figures
• Topic 5.2 Relating Solids and Shapes
• Topic 5.3 Breaking Apart Solids
• Topic 5.4 Lines, Segments, and Angles
• Topic 5.5 Polygons
• Topic 5.6 Triangles
• Topic 5.7 Quadrilaterals
• Topic 5.8 Problem Solving
• Topic 5 Test Prep
• Topic 5 Reteaching

Envision Math Grade 3 Online Textbook Topic 6 Multiplication Concepts

• Topic 6.1 Multiplication as Repeated Addition
• Topic 6.2 Arrays and Multiplication
• Topic 6.3 Using Multiplication to Compare
• Topic 6.4 Writing Multiplication Stories
• Topic 6.5 Problem Solving
• Topic 6 Test Prep
• Topic 6 Reteaching

3rd Grade Envision Math Answers Topic 7 Multiplication Facts: Use Patterns

• Topic 7.1 2 and 5 as Factors
• Topic 7.2 9 as a Factor
• Topic 7.3 Multiplying with 0 and 1
• Topic 7.4 10 as a Factor
• Topic 7.5 Problem Solving
• Topic 7 Test Prep
• Topic 7 Reteaching

Envision Math Answer Key Grade 3 Topic 8 Multiplication Facts: Use Known Facts

• Topic 8.1 3 as a Factor
• Topic 8.2 4 as a Factor
• Topic 8.3 6 and 7 as Factors
• Topic 8.4 8 as a Factor
• Topic 8.5 Multiplying with 3 Factors
• Topic 8.6 Problem Solving
• Topic 8 Test Prep
• Topic 8 Reteaching

Scott Foresman Addison Wesley Envision Math Grade 3 Answers Topic 9 Division Concepts

• Topic 9.1 Division as Sharing
• Topic 9.2 Division as Repeated Subtraction
• Topic 9.3 Writing Division Stories
• Topic 9.4 Problem Solving
• Topic 9 Test Prep
• Topic 9 Reteaching

Pearson Envision Math Grade 3 Answer Keys Topic 10 Division Facts

• Topic 10.1 Relating Multiplication and Division
• Topic 10.2 Fact Families with 2, 3, 4, and 5
• Topic 10.3 Fact Families with 6 and 7
• Topic 10.4 Fact Families with 8 and 9
• Topic 10.5 Dividing with 0 and 1
• Topic 10.6 Problem Solving
• Topic 10 Test Prep
• Topic 10 Reteaching

Pearson Math Grade 3 Answer Keys Topic 11 Patterns and Relationships

• Topic 11.1 Repeating Patterns
• Topic 11.2 Number Sequences
• Topic 11.3 Extending Tables
• Topic 11.4 Writing Rules for Situations
• Topic 11.5 Translating Words to Expressions
• Topic 11.6 Problem Solving
• Topic 11 Test Prep
• Topic 11 Reteaching

Pearson Education Answer Key Math 3rd Grade Topic 12 Fraction Concepts

• Topic 12.1 Dividing Regions into Equal Parts
• Topic 12.2 Fractions and Regions
• Topic 12.3 Fractions and Sets
• Topic 12.4 Fractions and Length
• Topic 12.5 Using Models to Compare Fractions
• Topic 12.6 Finding Equivalent Fractions
• Topic 12.7 Using Equivalent Fractions
• Topic 12.8 Problem Solving
• Topic 12 Test Prep
• Topic 12 Reteaching

Envision Math Grade 3 Answers Topic 13 Adding and Subtracting Fractions

• Topic 13.1 Using Models to Add Fractions
• Topic 13.2 Adding Fractions
• Topic 13.3 Using Models to Subtract Fractions
• Topic 13.4 Subtracting Fractions
• Topic 13.5 Problem Solving
• Topic 13 Test Prep
• Topic 13 Reteaching

Envision Math 3rd Grade Answer Key Topic 14 Multiplying Greater Numbers

• Topic 14.1 Using Mental Math to Multiply
• Topic 14.2 Estimating Products
• Topic 14.3 Multiplication and Arrays
• Topic 14.4 Breaking Apart to Multiply
• Topic 14.5 Using an Expanded Algorithm
• Topic 14.6 Multiplying 2-Digit by 1-Digit Numbers
• Topic 14.7 Multiplying 3- and 4-Digit Numbers
• Topic 14.8 Problem Solving
• Topic 14 Test Prep
• Topic 14 Reteaching

Envision Math Grade 3 Answer Key Topic 15 Dividing by 1-Digit Numbers

• Topic 15.1 Mental Math
• Topic 15.2 Estimating Quotients
• Topic 15.3 Connecting Models and Symbols
• Topic 15.4 Dividing 2-Digit Numbers
• Topic 15.5 Dividing 3- and 4-Digit Numbers
• Topic 15.6 Zero in the Quotient
• Topic 15.7 Dividing with Remainders
• Topic 15.8 Problem Solving
• Topic 15 Test Prep
• Topic 15 Reteaching

Envision Math 3rd Grade Textbook Answers Topic 16 Customary Measurement

• Topic 16.1 Understanding Measurement
• Topic 16.2 Fractions of an Inch
• Topic 16.3 Using Inches, Feet, Yards, and Miles
• Topic 16.4 Customary Units of Capacity
• Topic 16.5 Units of Weight
• Topic 16.6 Converting Customary Units
• Topic 16.7 Units of Time
• Topic 16.8 Elapsed Time
• Topic 16.9 Problem Solving
• Topic 16 Test Prep
• Topic 16 Reteaching

Envision Math 3rd Grade Textbook Answer Key Topic 17 Metric Measurement

• Topic 17.1 Using Centimeters and Decimeters
• Topic 17.2 Using Meters and Kilometers
• Topic 17.3 Metric Units of Capacity
• Topic 17.4 Units of Mass
• Topic 17.5 Converting Units
• Topic 17.6 Problem Solving
• Topic 17 Test Prep
• Topic 17 Reteaching

Envision Math Grade 3 Online Textbook Topic 18 Perimeter, Area, and Volume

• Topic 18.1 Understanding Perimeter
• Topic 18.2 Perimeter of Common Shapes
• Topic 18.3 Understanding Area
• Topic 18.4 Estimating and Measuring Area
• Topic 18.5 Volume
• Topic 18.6 Problem Solving
• Topic 18 Test Prep
• Topic 18 Reteaching

3rd Grade Envision Math Answers Topic 19 Decimal Operations and Money

• Topic 19.1 Fractions and Decimals
• Topic 19.2 Using Money to Understand Decimals
• Topic 19.3 Adding and Subtracting Money
• Topic 19.4 Multiplying with Money
• Topic 19.5 Dividing with Money
• Topic 19.6 Problem Solving
• Topic 19 Test Prep
• Topic 19 Reteaching

Envision Math Answer Key Grade 3 Topic 20 Data and Probability

• Topic 20.1 Using Tally Charts
• Topic 20.2 How Likely?
• Topic 20.3 Outcomes and Experiments
• Topic 20.4 Line Plots and Probability
• Topic 20.5 Making Bar Graphs to Show Outcomes
• Topic 20.6 Problem Solving
• Topic 20 Test Prep
• Topic 20 Reteaching

Envision Math 1st Grade Textbook Answer Key | Envision Math Grade 1 Answers

Envision Math Grade 1 Answers Topic 1 Numbers to 12

• Topic 1.1 0 to 5
• Topic 1.2 6 to 10
• Topic 1.3 10, 11, and 12
• Topic 1.4 Spatial Patterns for Numbers to 9
• Topic 1.5 Spatial Patterns for Numbers to 10
• Topic 1.6 Problem Solving
• Topic 1 Test
• Topic 1 Reteaching

Envision Math 1st Grade Answer Key Topic 2 Comparing and Ordering Numbers

• Topic 2.1 Comparing Two Numbers
• Topic 2.2 Ordering Three Numbers
• Topic 2.3 Ordering Numbers to 12 with a Number Line
• Topic 2.4 Problem Solving
• Topic 2 Test
• Topic 2 Reteaching

Envision Math Grade 1 Answer Key Topic 3 Understanding Addition

• Topic 3.1 Making 6 and 7
• Topic 3.2 Making 8
• Topic 3.3 Making 9
• Topic 3.4 Introducing Addition Number Sentences
• Topic 3.5 Stories About Joining
• Topic 3.6 Adding in Any Order
• Topic 3.7 Problem Solving
• Topic 3 Test
• Topic 3 Reteaching

Envision Math 1st Grade Textbook Answers Topic 4 Understanding Subtraction

• Topic 4.1 Finding Missing Parts of 6 and 7
• Topic 4.2 Finding Missing Parts of 8
• Topic 4.3 Finding Missing Parts of 9
• Topic 4.4 Introducing Subtraction Number Sentences
• Topic 4.5 Stories About Separating
• Topic 4.6 Stories About Comparing
• Topic 4.7 Connecting Addition and Subtraction
• Topic 4.8 Problem Solving
• Topic 4 Test
• Topic 4 Reteaching

Envision Math 1st Grade Textbook Answer Key Topic 5 Five and Ten Relationships

• Topic 5.1 Representing Numbers on a Ten-Frame
• Topic 5.2 Recognizing Numbers on a Ten-Frame
• Topic 5.3 Parts of 10
• Topic 5.4 Finding Missing Parts of 10
• Topic 5.5 Problem Solving
• Topic 5 Test
• Topic 5 Reteaching

Envision Math Grade 1 Online Textbook Topic 6 Addition Facts to 12

• Topic 6.1 Adding with 0, 1, 2
• Topic 6.2 Doubles
• Topic 6.3 Near Doubles
• Topic 6.4 Facts with 5 on a Ten-Frame
• Topic 6.5 Making 10 on a Ten-Frame
• Topic 6.6 Problem Solving
• Topic 6 Test
• Topic 6 Reteaching

1st Grade Envision Math Answers Topic 7 Subtraction Facts to 12

• Topic 7.1 Subtracting with 0, 1, 2
• Topic 7.2 Thinking Addition with Doubles
• Topic 7.3 Thinking Addition to 8
• Topic 7.4 Thinking Addition to 12
• Topic 7.5 Problem Solving
• Topic 7 Test
• Topic 7 Reteaching

Envision Math Answer Key Grade 1 Topic 8 Geometry

• Topic 8.1 Identifying Plane Shapes
• Topic 8.2 Properties of Plane Shapes
• Topic 8.3 Problem Solving
• Topic 8.4 Identifying Solid Figures
• Topic 8.5 Flat Surfaces and Corners
• Topic 8.6 Sorting Solid Figures
• Topic 8.7 Making New Shapes from Shapes
• Topic 8.8 Location of Shapes
• Topic 8.9 Location on a Grid
• Topic 8 Test
• Topic 8 Reteaching

Scott Foresman Addison Wesley Envision Math Grade 1 Answers Topic 9 Patterns

• Topic 9.1 Describing Patterns
• Topic 9.2 Using Patterns to Predict
• Topic 9.3 Extending Shape Patterns
• Topic 9.4 Problem Solving
• Topic 9 Test
• Topic 9 Reteaching

Pearson Envision Math Grade 1 Answer Keys Topic 10 Time

• Topic 10.1 Understanding the Hour and Minute Hands
• Topic 10.2 Telling and Writing Time to the Hour
• Topic 10.3 Telling and Writing Time to the Half Hour
• Topic 10.4 Estimating and Ordering Lengths of Time
• Topic 10.5 Problem Solving
• Topic 10 Test
• Topic 10 Reteaching

Pearson Math Grade 1 Answer Keys Topic 11 Counting and Number Patterns to 100

• Topic 11.1 Making Numbers 11 to 20
• Topic 11.2 Using Numbers 11 to 20
• Topic 11.3 Counting by 10s to 100
• Topic 11.4 Counting Forward on a Hundred Chart
• Topic 11.5 Counting Back on a Hundred Chart
• Topic 11.6 Counting Patterns on a Hundred Chart
• Topic 11.7 Using Skip Counting
• Topic 11.8 Odd and Even Numbers
• Topic 11.9 Problem Solving
• Topic 11 Test
• Topic 11 Reteaching

Pearson Education Answer Key Math 1st Grade Topic 12 Tens and Ones

• Topic 12.1 Counting with Groups of 10 and Leftovers
• Topic 12.2 Numbers Made with Tens
• Topic 12.3 Tens and Ones
• Topic 12.4 Ways to Make Numbers
• Topic 12.5 Tens and Ones on a Hundred Chart
• Topic 12.6 Problem Solving
• Topic 12 Test
• Topic 12 Reteaching

Envision Math Grade 1 Answers Topic 13 Comparing and Ordering Numbers to 100

• Topic 13.1 1 More, 1 Less; 10 More, 10 Less
• Topic 13.2 Comparing Numbers with >, <, =
• Topic 13.3 Ordering Numbers with a Hundred Chart
• Topic 13.4 Number Line Estimation
• Topic 13.5 Before, After, and Between
• Topic 13.6 Ordering Three Numbers
• Topic 13.7 Ordinal Numbers Through Tenth
• Topic 13.8 Making Reasonable Estimates
• Topic 13.9 Problem Solving
• Topic 13 Test
• Topic 13 Reteaching

Envision Math 1st Grade Answer Key Topic 14 Addition Facts to 20

• Topic 14.1 Doubles to 20
• Topic 14.2 Doubles Plus 1
• Topic 14.3 Doubles Plus 2
• Topic 14.4 Making 10 to Add
• Topic 14.5 Making 10 to Add 9
• Topic 14.6 Making 10 to Add 8
• Topic 14.7 Adding Three Numbers
• Topic 14.8 Problem Solving
• Topic 14 Test
• Topic 14 Reteaching

Envision Math Grade 1 Answer Key Topic 15 Subtraction Facts to 20

• Topic 15.1 Using Related Facts
• Topic 15.2 Fact Families
• Topic 15.3 Using Addition to Subtract
• Topic 15.4 Subtraction Facts
• Topic 15.5 Problem Solving
• Topic 15 Test
• Topic 15 Reteaching

Envision Math 1st Grade Textbook Answers Topic 16 Practicing Addition and Subtraction Facts

• Topic 16.1 Practicing Addition Facts
• Topic 16.2 Fact Families
• Topic 16.3 Using Addition Facts to Subtract
• Topic 16.4 Problem Solving
• Topic 16 Test
• Topic 16 Reteaching

Envision Math 1st Grade Textbook Answer Key Topic 17 Data and Graphs

• Topic 17.1 Using Data from Real Graphs
• Topic 17.2 Using Data from Picture Graphs
• Topic 17.3 Using Data from Bar Graphs
• Topic 17.4 Sorting
• Topic 17.5 Collecting Data Using Tally Marks
• Topic 17.6 Making Real Graphs
• Topic 17.7 Making Picture Graphs
• Topic 17.8 Problem Solving
• Topic 17 Test
• Topic 17 Reteaching

Envision Math Grade 1 Online Textbook Topic 18 Counting Money

• Topic 18.1 Values of Penny and Nickel
• Topic 18.2 Values of Penny, Nickel, and Dime
• Topic 18.3 Counting Dimes, Nickels, and Pennies
• Topic 18.4 Value of Quarter
• Topic 18.5 Value of Half Dollar
• Topic 18.6 Counting Sets of Coins
• Topic 18.7 Problem Solving
• Topic 18 Test
• Topic 18 Reteaching

1st Grade Envision Math Answers Topic 19 Measurement

• Topic 19.1 Comparing and Ordering by Length
• Topic 19.2 Using Units to Estimate and Measure Length
• Topic 19.3 Unit Size and Measuring
• Topic 19.4 Comparing and Ordering by Volume
• Topic 19.5 Comparing and Ordering by Weight
• Topic 19.6 Problem Solving
• Topic 19 Test
• Topic 19 Reteaching

Envision Math Answer Key Grade 1 Topic 20 Adding and Subtracting with Tens and Ones

• Topic 20.1 Adding Groups of 10
• Topic 20.2 Adding Tens on a Hundred Chart
• Topic 20.3 Adding on a Hundred Chart
• Topic 20.4 Adding Tens to Two-Digit Numbers
• Topic 20.5 Adding to a Two-Digit Number
• Topic 20.6 Subtracting Tens on a Hundred Chart
• Topic 20.7 Subtracting Tens from Two-Digit Numbers
• Topic 20.8 Subtracting from a Two-Digit Number
• Topic 20.9 Problem Solving
• Topic 20 Test
• Topic 20 Reteaching

Envision Math 5th Grade Textbook Answer Key Topic 18 Reteaching

Reteaching

Set A, pages 402-404

What ordered pair names Point A?

Start at the origin. The x-coordinate is the distance to the right or left along the x-axis. The y-coordinate is the distance up or down along the y-axis. Point A is at (⁺5, ⁺3).

Remember to name a point on a coordinate grid, first find the x-coordinate. Then find the y-coordinate. Write the coordinates in (x, y) order.
Question 1.
Which point is located at (^–4, ^–3)?
Answer:

Question 2.
Which point is located at (⁺2, ⁺2)?
Answer:

Question 3.
Which point is located at (^–4, ⁺4)?
Answer:

Question 4.
What ordered pair names Point T?
Answer:

Question 5.
What ordered pair names Point W?
Answer:

Question 6.
What is the new ordered pair if Point A is moved to the left 5 spaces?
Answer:

Set B, pages 406-408

Make a line graph for the data.

Use grid paper to draw a coordinate grid. Label the axes.
Number each axis with a consistent scale.
Plot the ordered pairs and connect the points.

Remember that line graphs show data that change over time.
Question 1.
Make a line graph for the data

Answer:

Question 2.
Describe the trend.

Answer:

Set C, pages 410–411

Graph the equation y = x + 2.
Choose values for x and find the values for y.

y = x + 2
0 = -2 + 2
2 = 0 + 2
5 = 3 + 2
Use grid paper to draw a coordinate grid.
Label and number the axes.
Plot the ordered pairs and connect the points.

Remember to choose at least three values for x. The values for x and y must satisfy the equation.

Make a table of values for each equation. Then graph the equations on a coordinate grid.
Question 1.
y = x – 4

Answer:

Question 2.
y = 3x

Answer:

Question 3.
y = x + 5

Answer:

Question 4.
y = x

Answer:

Set D, pages 412-413

Franco worked on his science fair project for 35 minutes. Then he spent 20 minutes working on math homework. After that, Franco spent 45 minutes on the computer. If he logged off the computer at 8:10 P.M., what time did Franco begin working on his science fair project?
You can draw a picture to help you work backward. Use an inverse operation for each change.

Remember that addition and subtraction have an inverse relationship.
Question 1.
Barb has 3\(\frac{1}{4}\) ft of ribbon left over. She used 2\(\frac{1}{4}\) ft to wrap a gift and \(\frac{3}{4}\) ft to decorate a picture frame. She then used 1\(\frac{3}{4}\) ft for hair ribbons. How many feet of ribbon did Barb start with?
Answer:

Envision Math 5th Grade Textbook Answer Key Topic 18 Test Prep

Test Prep

Question 1.
The map shows the approximate placement of some of the Smithsonian museums located on the National Mall. Which museum is located at (0, ^-1)? (18-1)

A = American History Museum
B = Freer
C = Smithsonian Castle
D = Natural History Museum
E = Hirshhorn Museum
F = Air and Space Museum

A. Hirshhorn Museum
B. Freer
C. Smithsonian Castle
D. Air and Space Museum
Answer:

Question 2.
Complete the table of ordered pairs for y = x – 5. (18-3)

A. -9
B. -2
C. -1
D. +9
Answer:

Question 3.
The graph shows the Fahrenheit temperature in Old Town taken every hour after 8:00 A.M. What was the temperature at noon? (18-2)

A. 58°F
B. 54°F
C. 47°F
D. 45°F
Answer:

Question 4.
Which ordered pair is a point on the line y = x + 3? (18-3)
A (⁺1, ⁺3)
B (⁺2, ⁺4)
C (⁺1, ⁺2)
D (^–1, ⁺2)
Answer:

Question 5.
On a map, Todd’s school has coordinates (⁺6, ⁺7). From a starting point, Todd walks east (right) 3 blocks, north (up) 5 blocks and ends up at school. What are the coordinates for where Todd started? (18-4)
A. (⁺9, ⁺2)
B. (⁺3, ⁺12)
C. (⁺11, ⁺4)
D. (⁺3, ⁺2)
Answer:

Question 6.
Which ordered pair is located on the line for the equation x = 2? (18-3)

A. (⁺2, ⁺3)
B. (^–2, ⁺2)
C. (⁺1, ⁺2)
D. (⁺3, ⁺2)
Answer:

Question 7.
Martina drew the graph shown. Which equation did she graph? (18-3)

A. y = x + 2
B. y = x + 1
C. y = x – 2
D. y = x – 1
Answer:

Question 8.
The graph shows the average miles per gallon for vehicles in the United States. Based on the trend, what would be a reasonable estimate of the average miles per gallon for U.S. vehicles in 2010? (18-2)

A. 11
B. 13
C. 18
D. 25
Answer:

Question 9.
What is the ordered pair for Point Xon the graph? (18-1)

A. (⁺2, ^–4)
B. (^–4, ⁺2)
C. (⁺4, ^–2)
D. (^–2, ⁺4)
Answer:

Envision Math 5th Grade Textbook Answer Key Topic 18.4 Problem Solving

Problem Solving

Work Backward
Symbols can show movement of points on a coordinate plane.

Symbols
move right →
move left ←
move up ↑
move down ↓

Starting Position (2, 3)
5 units → (7, 3)
3 units ↑ (7, 6)
4 units → (3, 6) Ending Position

Guided Practice

Do you know HOW?
Question 1.
Work backward to find the starting position.
Starting (x, y)
3 units → (6, 14)
5 units ↓ (6, 9)
2 units → (8, 9) Ending
Answer:

Do you UNDERSTAND?
Question 2.
How can you check the starting position in the answer from the example at the top?
Answer:

Question 3.
Write a Problem Write a problem involving movement of points on a coordinate plane that can be solved by working backward.
Answer:

Independent Practice

In 4 and 5, work backward to find each starting position.
Question 4.
Starting (x, y)
4 units ←
6 units ↑
2 units ↓
3 units → (3, 9) Ending
Answer:

Question 5.
Starting (x, y)
2 units ↓
7 units →
2 units ↑
14 units → (21, 2) Ending
Answer:

What is the starting position?
If you know the ending position and the motions used, you can work backward to find the starting position.
Starting (x, y)
5 units → (7, 3)
3 units ↑   (7, 6)
4 units → (3, 6) Ending

Plan and Solve
Begin at the ending position. Do the opposite motions and work backward.
Ending (3, 6)
4 units → (7, 6)
3 units ↓ (7, 3)
5 units ← (2, 3) Starting
The starting position is (2, 3).
Answer:

Solve.
Question 6.
Pat decided to bake one evening. First, she used a certain amount of flour to make biscuits. Then, Pat used 3\(\frac{3}{4}\) cups of flour to make bread and 1\(\frac{1}{4}\) cups of flour to make pretzels. If Pat used a total of 7\(\frac{1}{4}\) cups of flour for all of her baking, how much flour did she use to make biscuits?
Answer:

Question 7.
The Tigers scored 20 points during a basketball game. The team scored 6 points during the fourth quarter, 4 points during the third quarter, and the same number of points in both the second and first quarters. How many points did the Tigers score in the first quarter of the game? The second quarter?
Answer:

Question 8.
Heather is thinking of a solid that is made up of a couple of shapes. The solid has 5 faces. One of the faces is a shape that has sides of equal length. The other 4 faces are shapes that have three sides. What is the name of the solid Heather is thinking of?
Answer:

Question 9.
Steve, Derrin, Sid, Spencer, and Naji are waiting in line to buy tickets to a movie. Derrin is in front of Spencer and behind Sid. Steve is between Sid and Derrin. Naji is behind Spencer. Who is first in line?
Answer:

Question 10.
Julie kept track of the number of miles she drove over a three-day period. On the first day, she drove 17.25 miles. On the second day, she drove 5.25 miles. On the third day, she drove 24 miles. At the end of the third day, the odometer on Julie’s car read 52,607.5 miles. What was the mileage number on Julie’s odometer when she began keeping track of her mileage?
Answer:

Question 11.
Philip wants to take the quickest trip to Chicago. Some trains make more stops than others. Which train should he take?

Answer:

Envision Math 5th Grade Textbook Answer Key Topic 18.3 Graphing Equations

Graphing Equations

How do you graph an equation on a coordinate grid?
Answer:
Each day at 7:00 A.M., Tim listed the temperature on his outdoor thermometer and from the radio weather report.

Question.
Write an equation to show the relationship between the temperatures and then graph that relationship.
Answer:

Guided Practice

Do you know HOW?
In 1 and 2, complete the table of values and graph the equation.
Question 1.
y = x+ ⁺3

Answer:

Question 2.
y = x – ⁺4

Answer:

Do you UNDERSTAND?
Question 3.
For the problem above, suppose the temperature given in the weather report was 2° F higher than the temperature at Tim’s house. Write an equation, make a table of values, and graph the equation.
Answer:

Question 4.
On your graph for Problem 1, what is the y-coordinate at the point where the line would cross the x-axis?
Answer:

Independent Practice

In 5 through 7, write an equation to describe each table.
Question 5.

Answer:

Question 6.

Answer:

Question 7.

Answer:

In 8 through 10, complete each table of values and graph each equation.
Question 8.
y = x + 1

Answer:

Question 9.
y = x – 3

Answer:

Question 10.
y = 4 + x

Answer:

Write an equation.
Let x = temperature Tim’s house
Let y = temperature given by the weather report
Each day the temperature was reported as 2° lower.
y = x – 2

Use Tim’s list to make a table of values.

A table of values shows how x and y are related and lists values that satisfy the equation.

Use the table of values to graph the equation.

An equation whose graph is a straight line is called a linear equation.

Problem Solving

Question 11.
Reasoning If the points (⁺1, ⁺7), (⁺1, ⁺3), (⁺1, ^–5), and (⁺1, ^–9) were graphed, they would form a vertical line. Do you think the equation for this line would be x = ⁺1 or y = ⁺1? Explain.
Answer:

Question 12.
The Clothes Closet was having a year-end sale. Julie bought 2 pairs of jeans. The jeans cost $28 each. Her state charges 7% sales tax. What was the total cost of the jeans?
Answer:

Question 13.
Which ordered pair will be included on the graph for y = ⁺9 + x?
A. (⁺6, ⁺3)
B. (^–3, ⁺6)
C. (⁺3, ^–6)
D. (⁺6, ^–3)
Answer:

Question 14.
If you were to walk on Mars, the air near your toes may have a temperature of ⁺18°C, but the air at your head may be 27°C colder. What would be the temperature near your head?
Answer:

For 15 and 16, use the graph below.
Question 15.
Make a table of values for the graph.

Answer:

Question 16.
Use the table of values to write an equation for the graph.
Answer:

Question 17.
Justin bought a hat for $8.50 and socks for $5.75. He had a coupon for $2 off one item. How much change did he receive if he paid with a $20 bill?
Answer:

Question 18.
Writing to Explain Aaron’s graph included the points (⁺6, ⁺2), (⁺3, ^–1), and (^–3, ^–7). Bob’s graph included the points (⁺7, ⁺3), (⁺2, ^–2), and (^–2, ^–6). Would all six points be included on the same graph? Why or why not?
Answer:

Question 19.
If two pencils cost $0.25, how much would 12 pencils cost?
Answer:

Envision Math 5th Grade Textbook Answer Key Topic 18.2 Line Graphs

Line Graphs

How can data be represented?
Answer:
Data is collected information.
A line graph is used to show how data changes over time. It shows a trend, a general direction in data.
This table shows the growth of a plant over a period of several days. The data can be displayed in a line graph.

Another Example
How can you read data from line graphs?
Answer:
To use data from a graph, locate a point on the graph, and read the values on both axes. To estimate a value not on a graph, interpret the data to determine a trend. The graph below shows Sasha’s reading log.

Explain It
Question 1.
Based on the data, how many pages had Sasha read after 2 hours? After 4 hours?
Answer:

Question 2.
If the trend continues, about how many hours will Sasha take to finish a 190-page book?
Answer:

Question 3.
Using the graph, between what two hours was Sasha reading page 140?
Answer:

Step 1:

Draw a coordinate grid, use an appropriate scale, and label each axis. Title the graph.

Step 2:

Plot each ordered pair from the table.

Step 4:

Use a ruler to connect the points.

Guided Practice

Do you know HOW?
Question 1.
Use grid paper to make a line graph. Plot the ordered pairs from the table of values. Use an interval of 2 for each axis. Connect each point with a ruler.

Answer:

Do you UNDERSTAND?
Question 2.
In the problem above, between which two days was the plant growth the greatest?
Answer:

Question 3.
If the line connecting the points for several days in a row is horizontal, how much taller did the plant grow during those days?
Answer:

Question 4.
Writing to Explain How can you determine information from a line graph for a point that is not plotted?
Answer:

Independent Practice

For 5 through 7, use the information from the line graph at the right.

Question 5.
When were the most DVDs sold?
Answer:

Question 6.
How many more DVDs were sold during Week 3 than Week 5?
Answer:

Question 7.
Based on the trend, estimate the number of DVDs sold during Week 7.
Answer:

Problem Solving

Question 8.
Use the table at the right. On a globe, latitude is the x-coordinate. Longitude is the y-coordinate. What city is located at (30°, 30°)? Where is Milan, Italy, located?

Answer:

For 9 and 10, use the line graph at the right.

Question 9.
Look for a trend. How many inches do you predict the plant will have grown by the end of Week 5?
Answer:

Question 10.
How many more inches did the plant grow from the end of Week 2 to the end of Week 4?
Answer:

Question 11.
Use the table below. How much more did Americans spend on telephone service in 2004 than in 2001?

Answer:

Question 12.
Think About the Process If a line graph shows an upward trend in population growth for the past five years, what do you know about the population size during that time?
A. The population decreased.
B. The population inceased and then decreased.
C. The population stayed the same.
D. The population increased.
Answer:

For 13 and 14, use the table at the right. The table shows how far a group of hikers hiked for 4 days.

Question 13.
Make a line graph of the data. Use a scale from 0 to 12 and an interval of 2 for the miles hiked. Write a sentence about the trends represented on the graph.
Answer:

Question 14.
During which day did the hikers hike the greatest distance?
Answer:

Mixed Problem Solving

The Star Spangled Banner was written by poet Francis Scott Key. Francis Scott Key wrote this poem during the British attack of Fort McHenry in 1814.
Question 1.
Francis Scott Key was born in 1779 and lived until 1843. During his life, he worked as a lawyer in Washington, D.C., for many famous politicians. How old was Francis Scott Key when he wrote the Star Spangled Banner?
A. 30
B. 32
C. 35
D. 40
Answer:

Question 2.
The Star Spangled Banner was adopted as the National Anthem of the United States by Congress in 1931. How many years after it was written was Francis Scott Key’s poem made the National Anthem?
Answer:

Question 3.
America the Beautiful was written and composed by two different people. Katherine Lee Bates is the author of the poem, “America the Beautiful.” The poem was published in 1895. Samuel Augustus Ward wrote the melody in 1882. The words and music were first published together in 1910. How many years passed between the publication of the poem and the publication of the words and music?

Answer:

Question 4.
How many years after the Star Spangled Banner was written was the poem America the Beautiful written?
Answer:

Question 5.
How many years after Samuel Augustus Ward wrote the melody for “America the Beautiful” did Katherine Lee Bates write the poem?
Answer:

Question 6.
Strategy Focus Solve using the strategy Work Backward.
Elisa has to be at ballet practice at 5:30 P.M. She has 30 minutes of homework to do and then has to eat dinner, which will take 25 minutes. If it takes 20 minutes to get to the ballet studio, at what time should she start her homework?
Answer: