Envision Math K 6 Topic List

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Envision Math K 6 Topic List

  1. 1. Grade K Topic 1 – Sorting and Classifying Topic 6 – Addition 1-1 Same and Different 6-1 Stories About Joining Topic 12 – Length 1-2 Sorting by One Attribute 62 More Joining 12-1 Comparing and Ordering by Size 1-3 Sorting the Same Set in Different Ways 6-3 Joining Groups 12-2 Comparing by Length 1-4 Which Doesn’t Belong? 6-4 Using the Plus Sign 12-3 Ordering by Length 1-5 Problem Solving: Use Logical Reasoning 6-5 Finding Sums 12-4 Measuring Length 1-6 Problem Solving: Use Objects 6-6 Addition Sentences 12-5 Measuring Length Using Different Units 6-7 Problem Solving: Draw a Picture 12-6 Problem Solving: Try, Check, and Revise Topic 2 – One to Five 12-7 Problem Solving: Use Objects 2-1 Counting 1, 2, and 3 Topic 7 – Subtraction 2-2 Reading and Writing 1, 2, and 3 7-1 Stories About Separating Topic 13 – Capacity and Weight 2-3 Counting 4 7-2 Stories About Take Away 13-1 Comparing Capacities 2-4 Making 4 7-3 Stories About Comparing 13-2 Ordering by Capacity 2-5 Counting 5 7-4 Using the Minus Sign 13-3 Measuring Capacity 2-6 Making 5 7-5 Finding Differences 13-4 Comparing Weights 2-7 Reading and Writing 4 and 5 7-6 Subtraction Sentences 13-5 Ordering by Weight 2-8 Problem Solving: Make a Table 7-7 Problem Solving: Act It Out 13-6 Measuring Weight 13-9 Problem Solving: Try, Check, and Revise Topic 3 – More and Fewer Topic 8 – Numbers to 20 3-1 More, Fewer, and Same As 8-1 Counting, Reading, and Writing 11 and 12 Topic 14 – Time 3-2 1 and 2 More 8-2 Counting, Reading, and Writing 13 and 14 14-1 More Time and Less time 3-2 1 and 2 Fewer 8-3 Counting, Reading, and Writing 15 and 16 14-2 Order of the Day 3-4 Zero 8-4 Counting, Reading, and Writing 17 and 18 14-3 Order of Events 3-5 Reading and Writing Zero 8-5 Counting, Reading, and Writing 19 and 20 14-4 Finding Numbers on Clocks 3-6 Ordering Numbers Zero through 5 8-6 Problem Solving: Look for a Pattern 14-5 Telling Time to the Hour 3-7 Ordinal Numbers through Fifth 14-6 Times of Events 3-8 Problem Solving: Make an Organized List Topic 9 – Numbers to 30 14-7 Problem Solving: Use Logical Reasoning 9-1 Counting to 30 Topic 4 – Six to Ten 9-2 About How Many? Topic 15 – Calendar 4-1 Counting 6 9-3 Reading and Writing Numbers through 30 15-1 Day of the Week 4-2 Making 6 9-4 Comparing Numbers 15-2 Yesterday, Today and Tomorrow 4-3 Counting 7 9-5 Ordering Numbers through 30 15-3 Numbers on a Calendar 4-4 Making 7 9-6 Estimating Sums of Big Numbers 15-4 Calendar 4-5 Reading and Writing 6 and 7 9-7 Estimating Differences of Big Numbers 15-5 Problem Solving: Draw a Picture 4-6 Counting 8 9-8 Problem Solving: Look for a Pattern 4-7 Making 8 4-8 Counting 9 Topic 10 – Patterns Topic 16 – Graphing 4-9 Making 9 10-1 Color Patterns 16-1 As Many, More, and Fewer 4-10 Reading and Writing 8 and 9 10-2 Shape Patterns 16-2 Collecting Data 4-11 Counting 10 10-3 Comparing Patterns 16-3 Real Graphs 4-12 Making 10 10-4 Using Patterns to Predict What Comes Next 16-4 Picture Graphs 4-13 Reading and Writing 10 10-5 Extending Patterns 16-5 Problem Solving: Make a Graph 4-14 Problem Solving: Make a Graph 10-6 Creating Patterns 10-7 Problem Solving: Look for a Pattern Topic 5 – Comparing Numbers 5-1 Comparing Numbers through 10 Topic 11 – Geometry 5-2 Comparing Numbers to 5 11-1 Rectangles End of Year: Step-up Lessons for Grade 1 5-3 Comparing Numbers to 10 11-2 Squares 5-4 Ordinal Numbers through Tenth 11-3 Circles 5-5 1 More 11-4 Triangles 5-6 1 Fewer 11-5 Solid Figures 5-7 2 More 11-6 Comparing Solid Figures 5-8 2 Fewer 11-7 Flat Surfaces of Solid Figures 5-9 Ordering Numbers 0 through 10 11-8 Problem Solving: Use Objects 5-5 Problem Solving: Use Objects
  2. 2. st 1 Grade Topic 1 - Numbers to 12 Topic 8 - Geometry 14-7 Adding Three Numbers 1-1 0-5 8-1 Identify Plane Shapes 14-8 Problem Solving: Two Question Problems 1-2 6-10 8-2 Properties of Plane Shapes 1-3 10,11,12 8-3 Problem Solving: Make an Organized List Topic 15- Subtraction Facts to 20 1-4 Spatial Patterns to 9 8-4 Identifying Solid Figures 15-1 Using Related Facts 1-5 Spatial Patterns to 10 8-5 Flat Surfaces and Corners 15-2 Fact Families 1-6 Problem Solving: Use Objects 8-6 Sorting Solid Figures 15-3 Using Addition to Subtract 8-7 Making New Shapes from Shapes 15-4 Subtraction Facts Topic 2 - Comparing/Ordering Numbers 8-8 Location of Shapes 15-5 Problem Solving: Draw a Picture 2-1 Comparing Two Numbers and Write a Number Sentence 2-2 Ordering Three Numbers Topic 9 - Patterns 2-3 Ordering Numbers to 12- Number Line 9-1 Describing Patterns Topic 1 - Practicing Addition and Subtraction Facts 2-4 Problem Solving: Act It Out 9-2 Using Patterns to Predict 16-1 Practicing Addition Facts 9-3 Extending Shape Patterns 16-2 Fact Families Topic 3 - Understanding Addition 9-4 Problem Solving: Look for a Pattern 16-3 Using Addition Facts to Subtract 3-1 Making 6 and 7 16-4 Problem Solving: Use Objects 3-2 Making 8 Topic 10- Time 3-2 Making 9 10-1 Understanding the Hour and Minute Hands Topic 17 - Data and Graphs 3-4 Introduce Number Sentences 10-2 Telling and Writing Time to the Hour 17-1 Using Data from Real Graphs 3-5 Stories About Joining 10-3 Telling and Writing Time to the Half Hour 17-2 Using Data from Picture Graphs 3-6 Adding in Any Order 10-4 Estimating and Ordering Lengths of Time 17-3 Using Data from Bar Graphs 3-7 Problem Solving: Use Objects 10-5 Problem Solving: Use Data from a Table 17-4 Sorting 17-5 Collecting Data Using Tally Marks Topic 4 - Understanding Subtraction Topic 11- Counting and Number Patterns to 100 17-6 Making Real Graphs 4-1 Finding Missing Parts 6-7 11-1 Making Numbers 11-20 17-7 Making Picture Graphs 4-2 Finding Missing Parts 8 11-2 Using Numbers 11-20 17-8 Problem Solving: Make a Graph 4-3 Finding Missing Parts 9 11-3 Counting by 10s to 100 4-4 Introducing Number Sentences 11-4 Counting Forward on a Hundred Chart Topic 18 - Counting Money 4-5 Stories About Separating 11-5 Counting Back on a Hundred Chart 18-1 Values of Penny and Nickel 4-6 Stories About Comparing 11-6 Counting Patterns on a Hundred Chart 18-2 Values of Penny, Nickel and Dime 4-7 Connecting Addition and Subtraction 11-7 Using Skip Counting 18-3 Counting Dimes, Nickels and Pennies 4-8 Problem Solving: Use Objects 11-8 Odd and Even Numbers 18-4 Value of Quarter 11-9 Problem Solving: Look for a Pattern 18-5 Value of Half-Dollar Topic 5- Five and Ten Relationships 18-6 Counting Sets of Coins 5-1 Representing Numbers on a Ten-Frame Topic 12 - Tens and Ones 18-7 Problem Solving: Try, Check, Revise 5-2 Recognizing Numbers on a Ten-Frame 12-1 Counting with Groups of 10 and Leftovers 5-3 Parts of 10 12-2 Numbers Made with Tens Topic 19 - Measurement 5-4 Finding Missing Parts of 10 12-3 Tens and Ones 19-1 Comparing and Ordering by Length 5-5 Problem Solving: Make a Table 12-4 Ways to Make Numbers 19-2 Using Units to Estimate and Measure Length 12-5 Tens and Ones on a Hundred Chart 19-3 Unit Size and Measuring Topic 6 - Addition Facts to 12 12-6 Problem Solving: Make an Organized List 19-4 Comparing and Ordering by Volume 6-1 Addition: Adding with 0,1,2 19-5 Comparing and Ordering by Weight 6-2 Addition: Doubles Topic 13- Comparing/Ordering Numbers to 100 19-6 Problem Solving: Use Reasoning 6-3 Addition: Near Doubles 13-1 1 More, 1 Less; 10 More, 10 Less 6-4 Addition: Facts w/5 on a Ten-Frame 13-2 Comparing Numbers with >,<, = Topic 20 - Adding and Subtracting with Tens and Ones 6-5 Addition: Making 10 on a Ten-Frame 13-3 Ordering Numbers with a 100's Chart 20-1 Adding Groups of 10 6-6 Problem Solving: Draw a Picture and 13-4 Number Line Estimation 20-2 Adding Tens on a Hundred Chart Write a Number Sentence 13-5 Before, After, and Between 20-3 Adding on a Hundred Chart 13-6 Ordering Three Numbers 20-4 Adding Tens to Two-Digit Numbers Topic 7 - Subtraction Facts to 12 13-7 Ordinal Numbers Through Tenth 20-5 Adding to a Two-Digit Number 7-1 Subtracting with 0,1,2 13-8 Making Reasonable Estimates 20-6 Subtracting Tens on a Hundred Chart 7-2 Thinking Addition with Doubles 13-9 Problem Solving: Make an Organized List 20-7 Subtracting Tens from Two-Digit Numbers 7-3 Thinking Addition to 8 20-8 Subtracting from a Two-Digit Number 7-4 Thinking Addition to 12 Topic 14 - Addition Facts to 20 20-9 Problem Solving: Extra Information 7-5 Problem Solving: Draw a Picture and 14-1 Doubles to 20 Write a Number Sentence 14-2 Doubles Plus 1 14-3 Doubles Plus 2 End of Year: Step-up Lessons for Grade 2 14-4 Making 10 to Add 14-5 Making 10 to Add 9 14-6 Making 10 to Add 8
  3. 3. nd 2 Grade Topic 1 – Understanding Addition and 7-4 Adding On to Subtract 14-4 Bar Graphs Subtraction 7-5 Problem Solving: Missing or Extra 14-5 Problem Solving: Use a Graph 1-1 Writing Addition Number Sentences Information 1-2 Stories About Joining Topic 15- Place Value: Numbers to 1,000 1-3 Writing Subtraction Number Sentences Topic 8 – Estimating Sums and Differences 15-1 Reading and Writing Numbers to 1,000 1-4 Stories About Separating 8-1 Finding the Closest Ten 15-2 Changing Numbers by Hundreds and Tens 1-5 Stories About Comparing 8-2 Estimating Sums 15-3 Patterns with Numbers on Hundreds Charts 1-6 Connecting Addition and Subtraction 8-3 Estimating Differences 15-4 Comparing Numbers 1-7 Problem Solving: Use Objects 8-4 Problem Solving: Use Reasoning 15-5 Before, After, and Between 15-6 Ordering Numbers Topic 2 – Addition Strategies Topic 9 – Adding Two-Digit Numbers 15-7 Problem Solving: Look for a Pattern 2-1 Adding 0, 1, 2 9-1 Regrouping 10 Ones for 1 Ten 2-2 Doubles 9-2 Models to Add Two- and One-Digit Numbers Topic 16 – Counting Money 2-3 Near Doubles 9-3 Adding Two- and One-Digit Numbers 16-1 Dime, Nickel, and Penny 2-4 Adding in Any Order 9-4 Models to Add Tow-Digit Numbers 16-2 Quarter and Half-Dollar 2-5 Adding Three Numbers 9-5 Adding Two-Digit Numbers 16-3 Counting Collections of Coins 2-6 Making 10 to Add 9 9-6 Problem Solving: Draw a Picture and Write a 16-4 Comparing Collections of Coins 2-7 Making 10 to Add 8 Number Sentence 16-5 Ways to Show the Same Amount 2-8 Problem Solving: Draw a Picture and 16-6 One Dollar Write a Number Sentence Topic 10- Subtracting Two-Digit Numbers 16-7 Problem Solving: Make an Organized List 10-1 Regrouping 1 Ten for 10 Ones Topic 3 – Subtraction Strategies 10-2 Models to Subtract Two- and One-Digit Numbers Topic 17 – Three-Digit Addition and Subtraction 3-1 Subtracting 0, 1, 2 10-3 Subtracting Two- and One-Digit Numbers 17-1 Mental Math 3-2 Thinking Addition to Subtract Doubles 10-4 Models to Subtract Two-Digit Numbers 17-2 Estimating Sums 3-3 Thinking Addition to 10 to Subtract 10-5 Subtracting Two-Digit Numbers 17-3 Models for Adding with Three-Digit Numbers 3-4 Thinking Addition to 18 to Subtract 10-6 Using Addition to Check Subtraction 17-4 Adding Three-Digit Numbers 3-5 Finding the Missing Part 10-7 Problem Solving: Two-Question Problems 17-5 Mental Math: Ways to Find Missing Parts 3-6 Problem Solving: Two-Question Problems 17-6 Estimating Differences Topic 11- Linear Measurement 17-7 Models for Subtracting with Three-Digit Numbers Topic 4 – Place Value: Numbers to 100 11-1 Understanding Measurement 17-8 Subtracting Three-Digit Numbers 4-1 Models for Tens 11-2 Measuring Length Using Different Units 17-9 Problem Solving: Make a Graph 4-2 Models for Tens and Ones 11-3 Inches 4-3 Reading and Writing Numbers 11-4 Centimeters Topic 18 – Multiplication Concepts 4-4 Using Models to Compare Numbers 11-5 Estimating Measurements 18-1 Repeated Addition and Multiplication 4-5 Using Symbols to Compare Numbers 11-6 Problem Solving: Use Objects 18-2 Building Arrays 4-6 Before, After, and Between 18-3 Writing Multiplication Stories 4-7 Order Numbers Topic 12 - Fractions 18-4 Vertical Form 4-8 Number Patterns on a Hundred Chart 12-1 Wholes and Equal Parts 18-5 Multiplying in Any Order 4-9 Locating Numbers on a Number Chart 12-2 Unit Fractions and Regions 18-6 Problem Solving: Draw a Picture and Write 4-10 Problem Solving: Use Data from a Chart 12-3 Non-Unit Fractions and Regions a Number Sentence 12-4 Fractions of a Set 12-5 Understanding 1 as a Fraction Topic 19 – Measurement Facts Topic 5 – Geometry 12-6 Fractions and Decimals 19-1 2 and 5 as Factors 5-1 Flat Surfaces, Vertices, and Edges 12-7 Problem Solving: Use Objects 19-2 10 as a Factor 5-2 Relating Plane Shapes to Solid Figures 19-3 Practicing with 2s, 5s, and 10s 5-3 Making New Spaces Topic 13- Time 19-4 Problem Solving: Look for a Pattern 5-4 Cutting Shapes Apart 5-5 Problem Solving: Use Reasoning 13-1 Telling Time to Five Minutes Topic 20 – Division Concepts and Facts 13-2 Telling Time to the Quarter Hour 20-1 Division as Sharing Topic 6 – Mental Addition 13-3 Telling Time Before and After the Hour 20-2 Division as Repeated Subtraction 6-1 Adding Tens 13-4 Estimating Time 20-3 Writing Division Stories 6-2 Adding Ones 13-5 Elapsed Time 20-4 Relating Multiplication and Division 6-3 Adding Tens and Ones 13-6 Using a Calendar 20-5 Fact Families for 2 and 5 6-4 Adding on a Hundred Chart 13-7 Equivalent Times 20-6 Fact Families for 10 6-5 Problem Solving: Look for a Pattern 13-8 Problem Solving: Multiple-Step Problems 20-7 Division and Remainders 20-8 Problem Solving: Make a Table and Look Topic 7 – Mental Subtraction Topic 14 – Data and Graphs for a Pattern 7-1 Subtracting Tens 14-1 Organizing Data 7-2 Finding Parts of 100 14-2 Range and Mode 7-3 Subtraction on a Hundred Chart 14-3 Pictographs End of Year: Step-up Lessons for Grade 3
  4. 4. rd 3 Grade Topic 1 – Numeration 7-3 Multiplying with 0 and 1 14-7 Multiplying 3- and 4-Digit Numbers 1-1 Hundreds 7-4 10 as a Factor 14-8 Problem Solving: Draw a Picture and Write a 1-2 Thousands 7-5 Problem Solving: Two-Question Problems Number Sentence 1-3 Greater Numbers Topic 8 – Multiplication Facts: Use Known Facts Topic 15- Dividing by 1-Digit Numbers 1-4 Comparing Numbers 8-1 3 as a Factor 15-1 Mental Math 1-5 Ordering Numbers 8-2 4 as a Factor 15-2 Estimating Quotients 1-6 Problem Solving: Make an Organized 8-3 6 and 7 as Factors 15-3 Connecting Models and Symbols List 8-4 8 as a Factor 15-4 Dividing 2-Digit Numbers Topic 2 – Rounding 8-5 Multiplying with 3 Factors 15-5 Dividing 3- and 4-Digit Numbers 2-1 Finding the Halfway Number 8-6 Problem Solving: Multiple-Step Problems 15-6 Zero in the Quotient 2-2 Rounding 2- and 3-Digit Numbers 15-7 Dividing with Remainders Topic 9 – Division Concepts 15-8 Problem Solving: Multiple-Step Problems 2-3 Rounding 4-Digit Numbers 9-1 Division as Sharing 2-4 Problem Solving: Try, Check and Revise 9-2 Division as Repeated Subtraction Topic 16 – Customary Measurement 9-3 Writing Division Stories 16-1 Understanding Measurement Topic 3 – Adding Whole Numbers 9-4 Problem Solving: Act It Out 3-1 Addition Meaning and Properties 16-2 Fractions of an Inch 3-2 Adding on a Hundred Chart Topic 10- Division Facts 16-3 Using Inches, Fee, Yards and Miles 3-3 Using Mental Math to Add - Stop and 10-1 Relating Multiplication and Division 16-4 Customary Units of Capacity Practice 10-2 Fact Families with 2, 3, 4, and 5 16-5 Units of Weight 3-4 Estimating Sums 10-3 Fact Families with 6 and 7 16-6 Converting Units 3-5 Adding 2-Digit Numbers 10-4 Fact Families with 8 and 9 16-7 Units of Time 3-6 Adding 3- and 4-Digit Numbers 10-5 Dividing with 0 and 1 16-8 Elapsed Time 3-7 Adding 3 or More Numbers 10-6 Problem Solving: Draw a Picture and Write a 16-9 Problem Solving: Work Backward 3-6 Problem Solving: Reasonableness Number Sentence Topic 17 – Metric Measurement Topic 4 – Subtracting Whole Numbers Topic 11- Patterns and Relationship 17-1 Centimeters and Decimeters 4-1 Subtraction Meanings 11-1 Repeating Patterns 17-2 Meters and Kilometers – Stop and Practice 4-2 Subtracting on a Hundred chart 11-2 Number Sequences 17-3 Metric Units of Capacity 4-3 Using Mental Math to Subtract 11-3 Extending Tables 17-4 Units of Mass 4-4 Estimating Differences 11-4 Writing Rules for Situations 17-5 Converting Units 4-5 Subtraction 2-Digit Numbers 11-5 Translating Words to Expressions 17-6 Problem Solving: Make a Table and Look 4-6 Models for Subtracting 3-Digit Numbers 11-6 Problem Solving: Act It Out for a Pattern 4-7 Subtracting 3-Digit Numbers Topic 12 – Fraction Concepts Topic 18 – Perimeter, Area, and Volume 4-8 Subtracting Greater Numbers 12-1 Dividing Regions into Equal Parts 18-1 Understanding Perimeter 4-9 Subtracting Across Zero 12-2 Fractions and Regions 18-2 Perimeter of Common Shapes 4-10 Problem Solving: Draw a Picture and 12-3 Fractions of a Set 18-3 Understanding Area Write a Number Sentence 12-4 Fractions and Length 18-4 Estimating and Measuring Area Topic 5 – Solids and Shapes 12-5 Using Models to Compare Fractions 18-5 Volume – Stop and Practice 5-1 Solid Figures 12-6 Finding Equivalent Fractions 18-6 Problem Solving: Solve a Simpler Problem 5-2 Relating Solids and Shapes 12-7 Using Equivalent Fractions 12-8 Problem Solving: Make a Table and Look for a Topic 19 – Decimal Operations and Money 5-3 Breaking Apart Solids Pattern 19-1 Fractions and Decimals 5-4 Lines, Segments, and Angles 19-2 Using Money to Understand Decimals 5-5 Polygons Topic 13- Adding and Subtracting Fractions 19-3 Adding and Subtracting with Money 5-6 Triangles 13-1 Using Models to Add Fractions 19-4 Multiplying with Money 5-7 Quadrilaterals 13-2 Adding Fractions 19-5 Dividing with Money 5-8 Problem Solving: Make and Test 13-3 Using Models to Subtract Fractions 19-6 Problem Solving: Missing or Extra Information Generalizations 13-4 Subtracting Fractions 13-5 Problem Solving: Draw a Picture and Write a Topic 20 – Data and Probability Topic 6 – Multiplication Concepts Number Sentence 20-1 Using Tally Charts 6-1 Multiplication as Repeated Addition 20-2 How Likely? 6-2 Arrays and Multiplication Topic 14 – Multiplying Greater Numbers 20-3 Outcomes and Experiments 6-3 Using Multiplication to Compare 14-1 Using Mental Math to Multiply 20-4 Line Plots and Probability 6-4 Writing Multiplication Stories 14-2 Estimating Products 20-5 Making Bar Graphs to Show Outcomes 6-5 Problem Solving: Writing to Explain 14-3 Multiplication and Arrays 20-6 Problem Solving: Make and Use Graphs Topic 7 – Multiplication Facts: Use Patterns 14-4 Breaking Apart to Multiply to Draw Conclusions 7-1 2 and 5 as Factors 14.5 Using an Expanded Algorithm 7-2 9 as a Factor 14-6 Multiplying 2-Digit Numbers End of Year: Step-up Lessons for Grade 4
  5. 5. th 4 Grade Topic 1 – Numeration 6.4 Multiplying 2-Digit Numbers and Multiples of Ten 12-5 Multiplying and Dividing with Decimals 1-1 Thousands 6-5 Multiplying 2-Digit by 2-Digit Numbers 12-6 Problem Solving: Try, Check, and Revise 1-2 Millions 6-6 Multiplying Greater Numbers by 2-Digit Numbers 6-7 Problem Solving: Two-Question Problems Topic 13- Solving Equations 1-3 Comparing and Ordering Whole Numbers 13-1 Equal or Not Equal 1-4 Understanding Zeros in Place Value Topic 7 – Dividing by 1-Digit Divisors 13-2 Solving Addition and Subtraction Equations 1-5 Problem Solving: Make an Organized 7-1 Using Mental Math to Divide 13-3 Solving Multiplication and Division Equations List 7-2 Estimating Quotients 13-4 Translating Words to Equations Topic 2 – Addition and Subtraction Number Sense 7-3 Dividing with Remainders 13-5 Problem Solving: Work Backward 2-1 Understanding Rounding 7-4 Connecting Models and Symbols 7-5 Dividing 2-Digit by 1-Digit Numbers Topic 14 – Integers 2-2 Rounding Whole Numbers 14-1 Understanding Integers 2-3 Using Mental Math to Add and Subtract 7-6 Dividing 3-Digit by 1-Digit Numbers 7-7 Deciding Where to Start Dividing 14-2 Comparing Integers 2-4 Estimating Sums and Differences of Whole 14-3 Ordering Integers Numbers 7-8 Division and Zero 7-9 Factors 14-4 Problem Solving: Draw a Picture 2-5 Problem Solving: Mission or Extra Information 7-10 Prime and Composite Numbers Topic 15- Measurement, Perimeter, and Area 2-6 Adding Whole Numbers 7-11 Problem Solving: Multiple-Step Problems – Stop 15-1 Customary Measures 2-7 Subtracting Whole Numbers and Practice 15-2 Metric Measures 2-8 Subtracting Across Zeros Topic 8 – Lines, Angles, Shapes, and Solids 15-3 Perimeter 2-9 Problem Solving: Draw a Picture and Write 8-1 Points, Lines, and Planes 15-4 Area of Squares and Rectangles and Equation 8-2 Line Segments, Rays, and Angles 15-5 Areas of Irregular Shapes 8-3 Polygons 15-6 Same Perimeter, Different Area Topic 3 – Multiplication and Division: Meanings and 8-4 Triangles 15-7 Same Area, Different Perimeter Facts 8-5 Quadrilaterals 15-8 Problem Solving: Solve a Simpler Problem 3-1 Meanings for Multiplication 8-6 Circles and Make a Table – Stop and Practice 3-2 Patterns for Facts 3-3 Multiplication Properties 8-7 Solids Topic 16 – Data and Graphs 3-4 3, 4, 6, 7 and 8 as Factors 8-8 Views of Solids: Nets 16-1 Data from Surveys 3-5 Problem Solving: Look for a Pattern 8-9 Views of Solids: Perspective 16-2 Interpreting Graphs 3-6 Meanings for Division 8-10 Problem Solving: Make and Test Generalizations 16-3 Line Plots 3-7 Relating Multiplication and Division Topic 9 – Fraction Meanings and Concepts 16-4 Means 3-8 Special Quotients 9-1 Regions and Sets 16-5 Median, Mode, and Range 3-9 Using Multiplication Facts to Find Division 9-2 Fractions and Division 16-6 Problem Solving: Make a Graph Facts 9-3 Equivalent Fractions 3-10 Problem Solving: Draw a Picture and Write Topic 17 – Lengths and Coordinates 9-4 Fractions in Simplest Form and Equation – Stop and Practice 17-1 Ordered Pairs 9-5 Improper Fractions and Mixed Numbers 17-2 Shapes on Coordinate Grids – Stop and Practice Topic 4 – Multiplying by 1-Digit Numbers 9-6 Comparing Fractions 17-3 Lengths of Horizontal and Vertical Line Segments 4-1 Multiplying by Multiples of 10 and 100 9-7 Ordering Fractions 17-4 Problem Solving: Solve a Simpler Problem 4-2 Using Mental Math to Multiply 9-8 Problem Solving: Writing to Explain – Stop and 4-3 Using Rounding to Estimate Practice Topic 18 – Formulas and Equations 4-4 Using an Expanded Algorithm 18-1 Formulas and Equations Topic 10- Addition and Subtraction of Fractions 4-5 Multiplying 2-Digit by 1-Digit Numbers 18-2 Addition and Subtraction Patterns and Equations 10-1 Adding and Subtracting Fractions with Like 4-6 Multiplying 3-Digit by 1-Digit Numbers 18-3 Multiplication and Division Patterns and Equations Denominators 4-7 Multiplying Greater Numbers by 1-Digit 18-4 Graphing Equations 10-2 Adding Fractions with Unlike Denominators Numbers 18-5 More Graphing Equations 10-3 Subtracting Fractions with Unlike Denominators 4-8 Problem Solving: Reasonableness – Stop 18-6 Problem Solving: Make a Table 10-4 Problem Solving: Draw a Picture and Write an and Practice Equations Topic 19 – Congruence and Symmetry Topic 5 – Variables and Expressions Topic 11- Fraction and Decimal Concepts 19-1 Congruent Figures 5-1 Variables and Expressions 11-1 Decimal Place Value 19-2 Line Symmetry 5-2 Equality 11-2 Comparing and Ordering Decimals 19-3 Rational Symmetry 5-3 Expressions with Parentheses 11-3 Fractions and Decimals 19-4 Problem Solving: Draw a Picture 5-4 Simplifying Expressions 11-4 Fractions and Decimals on the Number Line 5-8 Problem Solving: Act it Out and Use Topic 20 – Probability 11-5 Mixed Numbers and Decimals on the Number Line 20-1 Finding Combinations Reasoning – Stop and Practice 11-6 Problem Solving: Use Objects and Make a Table 20-2 Outcomes and Tree Diagrams Topic 6 – Multiplying by 2-Digit Numbers Topic 12 – Operations with Decimals 20-3 Writing Probability as a Fraction 6-1 Using Mental Math to Multiply 2-Digit 12-1 Rounding Decimals 20-4 Problem Solving: Use Reasoning Numbers 12-2 Estimating Sums and Differences of Decimals 6-2 Estimating Products 12-3 Models for Adding and Subtracting Decimals End of Year: Step-up Lessons for Grade 5 6-3 Arrays and an Expanded Algorithm 12-4 Adding and Subtracting Decimals
  6. 6. th 5 Grade Topic 1 – Numeration 7-3 Estimation: Decimals Divided by Whole Numbers 7-4 Dividing a Decimal by a Decimal Topic 14 – Solids 1-1 Place Value 14-1 Solids 1-2 Comparing and Ordering Whole Numbers 7-5 Problem Solving: Multiple-Step Problems – Stop and Practice 14-2 Relating Shapes and Solids 1-3 Decimal Place Value 14-3 Surface Area 1-4 Comparing and Ordering Decimals Topic 8 – Shapes 14-4 Views of Solids 1-5 Problem Solving: Look for a Pattern – 8-1 Basic Geometric Ideas – Stop and Practice 14-5 Models and Volume Stop and Practice 8-2 Measuring and Classifying Angles 14-6 Volume – Stop and Practice Topic 2 – Addition and Subtraction Number Sense 8-3 Polygons 14-7 Problem Solving: Use Objects and Solve a 2-1 Mental Math 8-4 Triangles Simpler Problem 2-2 Rounding Whole Number and Decimals 8-5 Quadrilaterals 8-6 Problem Solving: Make and Test Generalizations Topic 15- Integers 2-3 Estimating Sums and Differences 15-1 Understanding Integers 2-4 Adding and Subtracting – Stop and Practice Topic 9 – Factors and Multiples 15-2 Comparing and Ordering Integers 2-5 Adding Decimals 9-1 Understanding Factors 15-3 Integers and the Number Line 2-6 Subtracting Decimals 9-2 Prime and Composite Numbers 15-4 Adding Integers – Stop and Practice 2-7 Problem Solving: Draw a Picture and Write 9-3 Finding Prime Factors 15-5 Subtracting Integers an Equation – Stop and Practice 9-4 Common Factors and Greatest Common Factors 15-6 Simplifying Expressions Topic 3 – Reviewing Multiplication of Whole Numbers 9-5 Problem Solving: Try, Check, and Revise 15-7 Problem Solving: Work Backward 3-1 Multiplication Properties Topic 10- Fractions, Mixed Numbers, and Decimals 3-2 Estimating Products Topic 16 – Solving and Writing Equations 10-1 Meaning of Fractions 16-1 Solving Addition and Subtraction Equations 3-3 Multiplying by 1-Digit Numbers 10-2 Fractions and Divisions 3-4 Multiplying by 2-Digit Numbers – Stop and 16-2 Solving Multiplication and Division Equations 10-3 Mixed Numbers and Improper Fractions 16-3 Problem Solving: Use Reasoning Practice 10-4 Equivalent Fractions 3-5 Estimating and Multiplying with Greater Numbers 16-4 Patterns and Equations – Stop and Practice 10-5 Comparing and Ordering Fractions and Mixed Numbers 16-5 More Patterns and Equations 3-6 Exponents 10-6 Fractions in Simplest Forms –Stop and Practice 3-7 Problem Solving: Multiple-Step Problems 16-6 Problem Solving: Draw a Picture and Write 10-7 Tenths and Hundredths an Equation Topic 4 – Division of Whole Numbers 10-8 Thousandths 4-1 Using Patterns to Divide 10-9 Fractions and Decimals on the Number Line Topic 17 – Percents 4-2 Estimating Quotients 10-10 Problem Solving: Writing to Explain 17-1 Understanding Ratios 4-3 Connecting Models and Symbols – Stop and 17-2 Understanding Percent Topic 11- Adding and Subtracting Fractions and Mixed Practice 17-3 Percents, Fractions, and Decimals Numbers 4-4 Dividing by 1-Digit Divisors 17-4 Finding Percent of a Whole Number 11-1 Adding and Subtracting Fractions with Like 4-5 Zero in the Quotient 17-5 Problem Solving: Make a Table and Look Denominators 4-6 Dividing by 2-Digit Divisors for a Pattern 11-2 Common Multiples and LCM 4-7 More Dividing by 2-Digit Divisors – Stop and 11-3 Adding Fractions with Unlike Denominators Topic 18 – Equations and Graphs Practice 11-4 Subtracting Fractions with Unlike Denominators 18-1 Ordered Pairs – Stop and Practice 4-8 Estimating and Dividing with Greater Numbers 11-5 Adding Mixed Numbers 18-2 Line Graphs 4-9 Problem Solving: Draw a Picture and Write 11-6 Subtracting Mixed Numbers 18-3 Graphing Equations and Equation 11-7 Problem Solving: Look for a Pattern 18-4 Problem Solving: Work Backward Topic 5 – Variables and Expressions Topic 12 – Multiplying and Dividing Fractions and Mixed Topic 19 – Graphs and Data 5-1 Variables and Expressions Numbers 19-1 Bar Graphs and Picture Graphs – Stop and 5-2 Patterns and Expressions – Stop and Practice 12-1 Multiplying Factions and Whole Numbers Practice 5-3 More Patterns and Expressions 12-2 Multiplying Two Fractions – Stop and Practice 19-2 Histograms 5-4 Distributive Property 12-3 Dividing a Whole Number by a Fraction 19-3 Circle Graphs 5-5 Order of Operations 12-4 Dividing Two Fractions 19-4 Make a Graph 5-6 Problem Solving: Act It Out and Use 12-5 Problem Solving: Mission or Extra Information 19-5 Mean Reasoning 12-6 Multiplying Mixed Numbers 19-6 Median, Mode, and Range Topic 6 – Multiplying Decimals 12-7 Dividing Mixed Numbers 19-7 Outcomes 6-1 Multiplying Decimals by 10, 100, or 1,000 12-8 Problem Solving: Draw a Picture and Write an 19-8 Problem Solving: Writing Probability as a 6-2 Multiplying a Whole Number and a Decimal Equation Fraction 6-3 Estimating the Product of a Whole Number and Topic 13- Length, Perimeter, and Area Decimal Topic 20 – Constructions 13-1 Using Customary Units of Length 20-1 Constructing Angles 6.4 Multiplying Two Decimals 13-2 Using Metric Units of Length 6-5 Multiplying with Zeros in the Product 20-2 Constructing Lines – Stop and Practice 13-3 Perimeter – Stop and Practice 20-3 Constructing Shapes 6-6 Problem Solving: Reasonableness 13-4 Area of Squares and Rectangles 20-4 Problem Solving: Use Objects Topic 7 – Dividing Decimals 13-5 Area of Parallelograms 7-1 Dividing Decimals by 10, 100, or 1,000 13-6 Area of Triangles 13-7 Problem Solving: Draw a Picture and Make an End of Year: Step-up Lessons for Grade 6 7-2 Dividing a Decimal by a Whole Number Organized List
  7. 7. th 6 Grade Topic 1 – Numeration Topic 7 – Number and Fraction Concepts Topic 14 – Equations and Graphs 1-1 Place Value 7-1 Prime Factorization 14-1 Equations With More Than One Operation 1-2 Comparing and Ordering Whole Numbers 7-2 Greatest Common Factor 14-2 Patterns and Equations 1-3 Exponents and Place Value 7-3 Understanding Factors 14-3 More Patterns and Equations 1-4 Decimal Place Value 7-4 Equivalent Fractions 14-4 Graphing Points in a Coordinate Plane 1-5 Comparing and Ordering Decimals 7-5 Fractions in Simplest Form 14-5 Graphing Equations 1-6 Problem Solving: Make an Organized List 7-6 Problem Solving: Make and Test Conjectures 14-6 Graphing Equations with More than One Operation 14-7 Problem Solving: Act It Out and Use Logical Topic 8 – Decimals, Fractions, and Mixed Numbers Topic 2 – Variables, Expressions, and Properties Reasoning 8-1 Fractions and Division 2-1 Using Variables to Write Expressions 8-2 Fractions and Decimals Topic 15 – Measurement 2-2 Properties of Operations 8-3 Improper Fractions and Mixed Numbers 15-1 Converting Customary Measures 2-3 Order of Operations 8-4 Decimal Forms of Fractions and Mixed Numbers 15-2 Converting Metric Measures 2-4 The Distributive Property 8-5 Rational Numbers on a Number Line 15-3 Relating Customary and Metric Measures 2-5 Mental Math 8-6 Problem Solving: Draw a Picture 15-4 Problem Solving: Use Reasoning 2-6 Evaluating Expressions 2-7 Using Expressions to Describe Patterns Topic 9 – Adding and Subtracting Fractions and Mixed Topic 16 – Perimeter and Area 2-8 Problem Solving: Make a Table – Stop and Numbers 16-1 Perimeter Practice 9-1 Adding and Subtracting: Like Denominators 16-2 Area of Squares and Rectangles 9-2 Least Common Multiple 16-3 Area of Parallelograms and Triangles Topic 3 – Whole Numbers and Decimals 9-3 Adding and Subtracting: Unlike Denominators 3-1 Estimating with Whole Numbers 16-4 Circumference 9-4 Estimating Sums and Differences of Mixed Numbers 16-5 Area of a Circle 3-2 Estimating with Decimals 9-5 Adding Mixed Numbers 3-3 Adding and Subtracting 16-6 Problem Solving: Use Objects 9-6 Subtracting Mixed Numbers 3-4 Multiplying 9-7 Problem Solving: Make a Table 3-5 Dividing by a Whole Number Topic 17 – Volume 3-6 Dividing by a Decimal Topic 10- Multiplying and Dividing Fractions and Mixed 17-1 Solid Figures 3-7 Evaluating Expressions Numbers 17-2 Volume of Rectangular Prisms 3-8 Problem Solving: Multiple-Step Problems – 10-1 Multiplying Fractions 17-3 Volume of Triangular Prisms and Cylinders Stop and Practice 10-2 Understanding Division of Fractions 17-4 Problem Solving: Use Objects and Reasoning 10-3 Dividing Fractions Topic 4 – Solving Equations 10-4 Estimating Products and Quotients Topic 18 – Graphs 4-1 Properties of Equality 10-5 Multiplying Mixed Numbers 18-1 Reading and Making Graphs 4-2 Solving Addition and Subtraction Equations 10-6 Dividing Mixed Numbers 18-2 Circle Graphs 4-3 Problem Solving: Draw a Picture and Write 10-7 Solving Equations 18-3 Misleading Graphs and Equation 10-8 Problem Solving: Look for a Pattern 18-4 Problem Solving: Make a Graph 4-4 Solving Multiplication and Division Equations 4-5 Problem Solving: Draw a Picture and Write Topic 11- Ratios, Rates, and Proportions Topic 19 – Data and Statistics and Equation – Stop and Practice 11-1 Understanding Ratios 19-1 Mean, Median, Mode, and Range 11-2 Equal Ratios and Proportions 19-2 Line Plots Topic 5 – Integers 11-3 Understanding Rates and Unit Rates 19-3 Effects of Outliers 5-1 Understanding Integers 11-4 Comparing Rates 19-4 Stem-and-Leaf Plots 5-2 Comparing and Ordering Integers 11-5 Distance, Rate, and Time 19-5 Appropriate Use of Statistical Measures 5-3 Adding Integers 11-6 Problem Solving: Draw a Picture 19-6 Sampling Methods 5-4 Subtracting Integers Topic 12 – Solving Proportions 19-7 Population and Sample Data 5-5 Multiplying Integers 12-1 Using Ratio Tables 19-8 Bias in Sampling and Surveys 5-6 Dividing Integers 12-2 Using Unit Rates 19-9 Using Statistics to Draw Conclusions 5-7 Solving Equations with Integers 12-3 Using Cross Multiplication 19-10 Problem Solving: Try, Check, and Revise 5-8 Problem Solving: Work Backward – Stop and Practice 12-4 Problem Solving: Writing to Explain Topic 20 –Probability 12-5 Similar Figures 20-1 Counting Methods Topic 6 – Properties of Two-Dimensional Figures 12-6 Maps and Scale Drawings 6-1 Basic Geometric Ideas 20-2 Permutations and Combinations 6-2 Measuring and Drawing Angles Topic 13- Understanding Percent 20-3 Probability 6-3 Angle Pairs 13-1 Understanding Percent 20-4 Theoretical and Experimental Probability 6.4 Triangles 13-2 Fractions, Decimals, and Percents 20-5 Adding Probabilities 6-5 Quadrilaterals 13-3 Percents Greater Than 100 and Less Than 1 20-6 Independent and Dependent Events 6-6 Circles 13-4 Estimating Percent 20-4 Problem Solving: Make an Organized List 6-7 Problem Solving: Make a Table and Look for 13-5 Finding the Percent of a Number a Pattern 13-6 Tips, Taxes, Discount, and Simple Interest 13-7 Problem Solving: Reasonableness

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