Grade K

Topic 1 – Sorting and Classifying 1-1 Same and Different 1-2 Sorting by One Attribute 1-3 Sorting the Same Set in Different Ways 1-4 Which Doesn’t Belong? 1-5 Problem Solving: Use Logical Reasoning 1-6 Problem Solving: Use Objects Topic 2 – One to Five 2-1 Counting 1, 2, and 3 2-2 Reading and Writing 1, 2, and 3 2-3 Counting 4 2-4 Making 4 2-5 Counting 5 2-6 Making 5 2-7 Reading and Writing 4 and 5 2-8 Problem Solving: Make a Table Topic 3 – More and Fewer 3-1 More, Fewer, and Same As 3-2 1 and 2 More 3-2 1 and 2 Fewer 3-4 Zero 3-5 Reading and Writing Zero 3-6 Ordering Numbers Zero through 5 3-7 Ordinal Numbers through Fifth 3-8 Problem Solving: Make an Organized List Topic 4 – Six to Ten 4-1 Counting 6 4-2 Making 6 4-3 Counting 7 4-4 Making 7 4-5 Reading and Writing 6 and 7 4-6 Counting 8 4-7 Making 8 4-8 Counting 9 4-9 Making 9 4-10 Reading and Writing 8 and 9 4-11 Counting 10 4-12 Making 10 4-13 Reading and Writing 10 4-14 Problem Solving: Make a Graph Topic 5 – Comparing Numbers 5-1 Comparing Numbers through 10 5-2 Comparing Numbers to 5 5-3 Comparing Numbers to 10 5-4 Ordinal Numbers through Tenth 5-5 1 More 5-6 1 Fewer 5-7 2 More 5-8 2 Fewer 5-9 Ordering Numbers 0 through 10 5-5 Problem Solving: Use Objects

Topic 6 – Addition 6-1 Stories About Joining 62 More Joining 6-3 Joining Groups 6-4 Using the Plus Sign 6-5 Finding Sums 6-6 Addition Sentences 6-7 Problem Solving: Draw a Picture

Topic 7 – Subtraction 7-1 Stories About Separating 7-2 Stories About Take Away 7-3 Stories About Comparing 7-4 Using the Minus Sign 7-5 Finding Differences 7-6 Subtraction Sentences 7-7 Problem Solving: Act It Out

Topic 8 – Numbers to 20 8-1 Counting, Reading, and Writing 11 and 12 8-2 Counting, Reading, and Writing 13 and 14 8-3 Counting, Reading, and Writing 15 and 16 8-4 Counting, Reading, and Writing 17 and 18 8-5 Counting, Reading, and Writing 19 and 20 8-6 Problem Solving: Look for a Pattern Topic 9 – Numbers to 30 9-1 Counting to 30 9-2 About How Many? 9-3 Reading and Writing Numbers through 30 9-4 Comparing Numbers 9-5 Ordering Numbers through 30 9-6 Estimating Sums of Big Numbers 9-7 Estimating Differences of Big Numbers 9-8 Problem Solving: Look for a Pattern Topic 10 – Patterns 10-1 Color Patterns 10-2 Shape Patterns 10-3 Comparing Patterns 10-4 Using Patterns to Predict What Comes Next 10-5 Extending Patterns 10-6 Creating Patterns 10-7 Problem Solving: Look for a Pattern Topic 11 – Geometry 11-1 Rectangles 11-2 Squares 11-3 Circles 11-4 Triangles 11-5 Solid Figures 11-6 Comparing Solid Figures 11-7 Flat Surfaces of Solid Figures 11-8 Problem Solving: Use Objects

Topic 12 – Length 12-1 Comparing and Ordering by Size 12-2 Comparing by Length 12-3 Ordering by Length 12-4 Measuring Length 12-5 Measuring Length Using Different Units 12-6 Problem Solving: Try, Check, and Revise 12-7 Problem Solving: Use Objects

Topic 13 – Capacity and Weight 13-1 Comparing Capacities 13-2 Ordering by Capacity 13-3 Measuring Capacity 13-4 Comparing Weights 13-5 Ordering by Weight 13-6 Measuring Weight 13-9 Problem Solving: Try, Check, and Revise

Topic 14 – Time 14-1 More Time and Less time 14-2 Order of the Day 14-3 Order of Events 14-4 Finding Numbers on Clocks 14-5 Telling Time to the Hour 14-6 Times of Events 14-7 Problem Solving: Use Logical Reasoning Topic 15 – Calendar 15-1 Day of the Week 15-2 Yesterday, Today and Tomorrow 15-3 Numbers on a Calendar 15-4 Calendar 15-5 Problem Solving: Draw a Picture Topic 16 – Graphing 16-1 As Many, More, and Fewer 16-2 Collecting Data 16-3 Real Graphs 16-4 Picture Graphs 16-5 Problem Solving: Make a Graph

End of Year: Step-up Lessons for Grade 1

1st Grade

Topic 1 - Numbers to 12 1-1 0-5 1-2 6-10 1-3 10,11,12 1-4 Spatial Patterns to 9 1-5 Spatial Patterns to 10 1-6 Problem Solving: Use Objects Topic 2 - Comparing/Ordering Numbers 2-1 Comparing Two Numbers 2-2 Ordering Three Numbers 2-3 Ordering Numbers to 12- Number Line 2-4 Problem Solving: Act It Out Topic 3 - Understanding Addition 3-1 Making 6 and 7 3-2 Making 8 3-2 Making 9 3-4 Introduce Number Sentences 3-5 Stories About Joining 3-6 Adding in Any Order 3-7 Problem Solving: Use Objects Topic 4 - Understanding Subtraction 4-1 Finding Missing Parts 6-7 4-2 Finding Missing Parts 8 4-3 Finding Missing Parts 9 4-4 Introducing Number Sentences 4-5 Stories About Separating 4-6 Stories About Comparing 4-7 Connecting Addition and Subtraction 4-8 Problem Solving: Use Objects Topic 5- Five and Ten Relationships 5-1 Representing Numbers on a Ten-Frame 5-2 Recognizing Numbers on a Ten-Frame 5-3 Parts of 10 5-4 Finding Missing Parts of 10 5-5 Problem Solving: Make a Table Topic 6 - Addition Facts to 12 6-1 Addition: Adding with 0,1,2 6-2 Addition: Doubles 6-3 Addition: Near Doubles 6-4 Addition: Facts w/5 on a Ten-Frame 6-5 Addition: Making 10 on a Ten-Frame 6-6 Problem Solving: Draw a Picture and Write a Number Sentence

Topic 7 - Subtraction Facts to 12 7-1 Subtracting with 0,1,2 7-2 Thinking Addition with Doubles 7-3 Thinking Addition to 8 7-4 Thinking Addition to 12 7-5 Problem Solving: Draw a Picture and Write a Number Sentence

Topic 8 - Geometry 8-1 Identify Plane Shapes 8-2 Properties of Plane Shapes 8-3 Problem Solving: Make an Organized List 8-4 Identifying Solid Figures 8-5 Flat Surfaces and Corners 8-6 Sorting Solid Figures 8-7 Making New Shapes from Shapes 8-8 Location of Shapes Topic 9 - Patterns 9-1 Describing Patterns 9-2 Using Patterns to Predict 9-3 Extending Shape Patterns 9-4 Problem Solving: Look for a Pattern Topic 10- Time 10-1 Understanding the Hour and Minute Hands 10-2 Telling and Writing Time to the Hour 10-3 Telling and Writing Time to the Half Hour 10-4 Estimating and Ordering Lengths of Time 10-5 Problem Solving: Use Data from a Table Topic 11- Counting and Number Patterns to 100 11-1 Making Numbers 11-20 11-2 Using Numbers 11-20 11-3 Counting by 10s to 100 11-4 Counting Forward on a Hundred Chart 11-5 Counting Back on a Hundred Chart 11-6 Counting Patterns on a Hundred Chart 11-7 Using Skip Counting 11-8 Odd and Even Numbers 11-9 Problem Solving: Look for a Pattern Topic 12 - Tens and Ones 12-1 Counting with Groups of 10 and Leftovers 12-2 Numbers Made with Tens 12-3 Tens and Ones 12-4 Ways to Make Numbers 12-5 Tens and Ones on a Hundred Chart 12-6 Problem Solving: Make an Organized List Topic 13- Comparing/Ordering Numbers to 100 13-1 1 More, 1 Less; 10 More, 10 Less 13-2 Comparing Numbers with >,<, = 13-3 Ordering Numbers with a 100's Chart 13-4 Number Line Estimation 13-5 Before, After, and Between 13-6 Ordering Three Numbers 13-7 Ordinal Numbers Through Tenth 13-8 Making Reasonable Estimates 13-9 Problem Solving: Make an Organized List Topic 14 - Addition Facts to 20 14-1 Doubles to 20 14-2 Doubles Plus 1 14-3 Doubles Plus 2 14-4 Making 10 to Add 14-5 Making 10 to Add 9 14-6 Making 10 to Add 8

14-7 Adding Three Numbers 14-8 Problem Solving: Two Question Problems Topic 15- Subtraction Facts to 20 15-1 Using Related Facts 15-2 Fact Families 15-3 Using Addition to Subtract 15-4 Subtraction Facts 15-5 Problem Solving: Draw a Picture and Write a Number Sentence Topic 1 - Practicing Addition and Subtraction Facts 16-1 Practicing Addition Facts 16-2 Fact Families 16-3 Using Addition Facts to Subtract 16-4 Problem Solving: Use Objects Topic 17 - Data and Graphs 17-1 Using Data from Real Graphs 17-2 Using Data from Picture Graphs 17-3 Using Data from Bar Graphs 17-4 Sorting 17-5 Collecting Data Using Tally Marks 17-6 Making Real Graphs 17-7 Making Picture Graphs 17-8 Problem Solving: Make a Graph Topic 18 - Counting Money 18-1 Values of Penny and Nickel 18-2 Values of Penny, Nickel and Dime 18-3 Counting Dimes, Nickels and Pennies 18-4 Value of Quarter 18-5 Value of Half-Dollar 18-6 Counting Sets of Coins 18-7 Problem Solving: Try, Check, Revise Topic 19 - Measurement 19-1 Comparing and Ordering by Length 19-2 Using Units to Estimate and Measure Length 19-3 Unit Size and Measuring 19-4 Comparing and Ordering by Volume 19-5 Comparing and Ordering by Weight 19-6 Problem Solving: Use Reasoning Topic 20 - Adding and Subtracting with Tens and Ones 20-1 Adding Groups of 10 20-2 Adding Tens on a Hundred Chart 20-3 Adding on a Hundred Chart 20-4 Adding Tens to Two-Digit Numbers 20-5 Adding to a Two-Digit Number 20-6 Subtracting Tens on a Hundred Chart 20-7 Subtracting Tens from Two-Digit Numbers 20-8 Subtracting from a Two-Digit Number 20-9 Problem Solving: Extra Information End of Year: Step-up Lessons for Grade 2

2nd Grade

Topic 1 – Understanding Addition and Subtraction 1-1 Writing Addition Number Sentences 1-2 Stories About Joining 1-3 Writing Subtraction Number Sentences 1-4 Stories About Separating 1-5 Stories About Comparing 1-6 Connecting Addition and Subtraction 1-7 Problem Solving: Use Objects Topic 2 – Addition Strategies 2-1 Adding 0, 1, 2 2-2 Doubles 2-3 Near Doubles 2-4 Adding in Any Order 2-5 Adding Three Numbers 2-6 Making 10 to Add 9 2-7 Making 10 to Add 8 2-8 Problem Solving: Draw a Picture and Write a Number Sentence Topic 3 – Subtraction Strategies 3-1 Subtracting 0, 1, 2 3-2 Thinking Addition to Subtract Doubles 3-3 Thinking Addition to 10 to Subtract 3-4 Thinking Addition to 18 to Subtract 3-5 Finding the Missing Part 3-6 Problem Solving: Two-Question Problems Topic 4 – Place Value: Numbers to 100 4-1 Models for Tens 4-2 Models for Tens and Ones 4-3 Reading and Writing Numbers 4-4 Using Models to Compare Numbers 4-5 Using Symbols to Compare Numbers 4-6 Before, After, and Between 4-7 Order Numbers 4-8 Number Patterns on a Hundred Chart 4-9 Locating Numbers on a Number Chart 4-10 Problem Solving: Use Data from a Chart Topic 5 – Geometry 5-1 Flat Surfaces, Vertices, and Edges 5-2 Relating Plane Shapes to Solid Figures 5-3 Making New Spaces 5-4 Cutting Shapes Apart 5-5 Problem Solving: Use Reasoning Topic 6 – Mental Addition 6-1 Adding Tens 6-2 Adding Ones 6-3 Adding Tens and Ones 6-4 Adding on a Hundred Chart 6-5 Problem Solving: Look for a Pattern

Topic 7 – Mental Subtraction 7-1 Subtracting Tens 7-2 Finding Parts of 100 7-3 Subtraction on a Hundred Chart

7-4 Adding On to Subtract 7-5 Problem Solving: Missing or Extra Information

Topic 8 – Estimating Sums and Differences 8-1 Finding the Closest Ten 8-2 Estimating Sums 8-3 Estimating Differences 8-4 Problem Solving: Use Reasoning Topic 9 – Adding Two-Digit Numbers 9-1 Regrouping 10 Ones for 1 Ten 9-2 Models to Add Two- and One-Digit Numbers 9-3 Adding Two- and One-Digit Numbers 9-4 Models to Add Tow-Digit Numbers 9-5 Adding Two-Digit Numbers 9-6 Problem Solving: Draw a Picture and Write a Number Sentence Topic 10- Subtracting Two-Digit Numbers 10-1 Regrouping 1 Ten for 10 Ones 10-2 Models to Subtract Two- and One-Digit Numbers 10-3 Subtracting Two- and One-Digit Numbers 10-4 Models to Subtract Two-Digit Numbers 10-5 Subtracting Two-Digit Numbers 10-6 Using Addition to Check Subtraction 10-7 Problem Solving: Two-Question Problems Topic 11- Linear Measurement 11-1 Understanding Measurement 11-2 Measuring Length Using Different Units 11-3 Inches 11-4 Centimeters 11-5 Estimating Measurements 11-6 Problem Solving: Use Objects Topic 12 - Fractions 12-1 Wholes and Equal Parts 12-2 Unit Fractions and Regions 12-3 Non-Unit Fractions and Regions 12-4 Fractions of a Set 12-5 Understanding 1 as a Fraction 12-6 Fractions and Decimals 12-7 Problem Solving: Use Objects Topic 13- Time 13-1 Telling Time to Five Minutes 13-2 Telling Time to the Quarter Hour 13-3 Telling Time Before and After the Hour 13-4 Estimating Time 13-5 Elapsed Time 13-6 Using a Calendar 13-7 Equivalent Times 13-8 Problem Solving: Multiple-Step Problems Topic 14 – Data and Graphs 14-1 Organizing Data 14-2 Range and Mode 14-3 Pictographs

14-4 Bar Graphs 14-5 Problem Solving: Use a Graph Topic 15- Place Value: Numbers to 1,000 15-1 Reading and Writing Numbers to 1,000 15-2 Changing Numbers by Hundreds and Tens 15-3 Patterns with Numbers on Hundreds Charts 15-4 Comparing Numbers 15-5 Before, After, and Between 15-6 Ordering Numbers 15-7 Problem Solving: Look for a Pattern Topic 16 – Counting Money 16-1 Dime, Nickel, and Penny 16-2 Quarter and Half-Dollar 16-3 Counting Collections of Coins 16-4 Comparing Collections of Coins 16-5 Ways to Show the Same Amount 16-6 One Dollar 16-7 Problem Solving: Make an Organized List Topic 17 – Three-Digit Addition and Subtraction 17-1 Mental Math 17-2 Estimating Sums 17-3 Models for Adding with Three-Digit Numbers 17-4 Adding Three-Digit Numbers 17-5 Mental Math: Ways to Find Missing Parts 17-6 Estimating Differences 17-7 Models for Subtracting with Three-Digit Numbers 17-8 Subtracting Three-Digit Numbers 17-9 Problem Solving: Make a Graph Topic 18 – Multiplication Concepts 18-1 Repeated Addition and Multiplication 18-2 Building Arrays 18-3 Writing Multiplication Stories 18-4 Vertical Form 18-5 Multiplying in Any Order 18-6 Problem Solving: Draw a Picture and Write a Number Sentence Topic 19 – Measurement Facts 19-1 2 and 5 as Factors 19-2 10 as a Factor 19-3 Practicing with 2s, 5s, and 10s 19-4 Problem Solving: Look for a Pattern Topic 20 – Division Concepts and Facts 20-1 Division as Sharing 20-2 Division as Repeated Subtraction 20-3 Writing Division Stories 20-4 Relating Multiplication and Division 20-5 Fact Families for 2 and 5 20-6 Fact Families for 10 20-7 Division and Remainders 20-8 Problem Solving: Make a Table and Look for a Pattern

End of Year: Step-up Lessons for Grade 3

3rd Grade

Topic 1 – Numeration 1-1 Hundreds 1-2 Thousands 1-3 Greater Numbers 1-4 Comparing Numbers 1-5 Ordering Numbers 1-6 Problem Solving: Make an Organized List Topic 2 – Rounding 2-1 Finding the Halfway Number 2-2 Rounding 2- and 3-Digit Numbers 2-3 Rounding 4-Digit Numbers 2-4 Problem Solving: Try, Check and Revise Topic 3 – Adding Whole Numbers 3-1 Addition Meaning and Properties 3-2 Adding on a Hundred Chart 3-3 Using Mental Math to Add - Stop and Practice 3-4 Estimating Sums 3-5 Adding 2-Digit Numbers 3-6 Adding 3- and 4-Digit Numbers 3-7 Adding 3 or More Numbers 3-6 Problem Solving: Reasonableness Topic 4 – Subtracting Whole Numbers 4-1 Subtraction Meanings 4-2 Subtracting on a Hundred chart 4-3 Using Mental Math to Subtract 4-4 Estimating Differences 4-5 Subtraction 2-Digit Numbers 4-6 Models for Subtracting 3-Digit Numbers 4-7 Subtracting 3-Digit Numbers 4-8 Subtracting Greater Numbers 4-9 Subtracting Across Zero 4-10 Problem Solving: Draw a Picture and Write a Number Sentence Topic 5 – Solids and Shapes 5-1 Solid Figures 5-2 Relating Solids and Shapes 5-3 Breaking Apart Solids 5-4 Lines, Segments, and Angles 5-5 Polygons 5-6 Triangles 5-7 Quadrilaterals 5-8 Problem Solving: Make and Test Generalizations Topic 6 – Multiplication Concepts 6-1 Multiplication as Repeated Addition 6-2 Arrays and Multiplication 6-3 Using Multiplication to Compare 6-4 Writing Multiplication Stories 6-5 Problem Solving: Writing to Explain

Topic 7 – Multiplication Facts: Use Patterns 7-1 2 and 5 as Factors 7-2 9 as a Factor

7-3 Multiplying with 0 and 1 7-4 10 as a Factor 7-5 Problem Solving: Two-Question Problems

Topic 8 – Multiplication Facts: Use Known Facts 8-1 3 as a Factor 8-2 4 as a Factor 8-3 6 and 7 as Factors 8-4 8 as a Factor 8-5 Multiplying with 3 Factors 8-6 Problem Solving: Multiple-Step Problems

Topic 9 – Division Concepts 9-1 Division as Sharing 9-2 Division as Repeated Subtraction 9-3 Writing Division Stories 9-4 Problem Solving: Act It Out Topic 10- Division Facts 10-1 Relating Multiplication and Division 10-2 Fact Families with 2, 3, 4, and 5 10-3 Fact Families with 6 and 7 10-4 Fact Families with 8 and 9 10-5 Dividing with 0 and 1 10-6 Problem Solving: Draw a Picture and Write a

Number Sentence Topic 11- Patterns and Relationship 11-1 Repeating Patterns 11-2 Number Sequences 11-3 Extending Tables 11-4 Writing Rules for Situations 11-5 Translating Words to Expressions 11-6 Problem Solving: Act It Out Topic 12 – Fraction Concepts 12-1 Dividing Regions into Equal Parts 12-2 Fractions and Regions 12-3 Fractions of a Set 12-4 Fractions and Length 12-5 Using Models to Compare Fractions 12-6 Finding Equivalent Fractions 12-7 Using Equivalent Fractions 12-8 Problem Solving: Make a Table and Look for a

Pattern Topic 13- Adding and Subtracting Fractions 13-1 Using Models to Add Fractions 13-2 Adding Fractions 13-3 Using Models to Subtract Fractions 13-4 Subtracting Fractions 13-5 Problem Solving: Draw a Picture and Write a

Number Sentence Topic 14 – Multiplying Greater Numbers 14-1 Using Mental Math to Multiply 14-2 Estimating Products 14-3 Multiplication and Arrays 14-4 Breaking Apart to Multiply 14.5 Using an Expanded Algorithm 14-6 Multiplying 2-Digit Numbers

14-7 Multiplying 3- and 4-Digit Numbers 14-8 Problem Solving: Draw a Picture and Write a

Number Sentence

Topic 15- Dividing by 1-Digit Numbers 15-1 Mental Math 15-2 Estimating Quotients 15-3 Connecting Models and Symbols 15-4 Dividing 2-Digit Numbers 15-5 Dividing 3- and 4-Digit Numbers 15-6 Zero in the Quotient 15-7 Dividing with Remainders 15-8 Problem Solving: Multiple-Step Problems Topic 16 – Customary Measurement 16-1 Understanding Measurement 16-2 Fractions of an Inch 16-3 Using Inches, Fee, Yards and Miles 16-4 Customary Units of Capacity 16-5 Units of Weight 16-6 Converting Units 16-7 Units of Time 16-8 Elapsed Time 16-9 Problem Solving: Work Backward Topic 17 – Metric Measurement 17-1 Centimeters and Decimeters 17-2 Meters and Kilometers – Stop and Practice 17-3 Metric Units of Capacity 17-4 Units of Mass 17-5 Converting Units 17-6 Problem Solving: Make a Table and Look for a Pattern Topic 18 – Perimeter, Area, and Volume 18-1 Understanding Perimeter 18-2 Perimeter of Common Shapes 18-3 Understanding Area 18-4 Estimating and Measuring Area 18-5 Volume – Stop and Practice 18-6 Problem Solving: Solve a Simpler Problem Topic 19 – Decimal Operations and Money 19-1 Fractions and Decimals 19-2 Using Money to Understand Decimals 19-3 Adding and Subtracting with Money 19-4 Multiplying with Money 19-5 Dividing with Money 19-6 Problem Solving: Missing or Extra Information Topic 20 – Data and Probability 20-1 Using Tally Charts 20-2 How Likely? 20-3 Outcomes and Experiments 20-4 Line Plots and Probability 20-5 Making Bar Graphs to Show Outcomes 20-6 Problem Solving: Make and Use Graphs to Draw Conclusions

End of Year: Step-up Lessons for Grade 4

4th Grade

Topic 1 – Numeration 1-1 Thousands 1-2 Millions 1-3 Comparing and Ordering Whole Numbers 1-4 Understanding Zeros in Place Value 1-5 Problem Solving: Make an Organized List

Topic 2 – Addition and Subtraction Number Sense 2-1 Understanding Rounding 2-2 Rounding Whole Numbers 2-3 Using Mental Math to Add and Subtract 2-4 Estimating Sums and Differences of Whole

Numbers 2-5 Problem Solving: Mission or Extra Information 2-6 Adding Whole Numbers 2-7 Subtracting Whole Numbers 2-8 Subtracting Across Zeros 2-9 Problem Solving: Draw a Picture and Write

and Equation Topic 3 – Multiplication and Division: Meanings and Facts 3-1 Meanings for Multiplication 3-2 Patterns for Facts 3-3 Multiplication Properties 3-4 3, 4, 6, 7 and 8 as Factors 3-5 Problem Solving: Look for a Pattern 3-6 Meanings for Division 3-7 Relating Multiplication and Division 3-8 Special Quotients 3-9 Using Multiplication Facts to Find Division Facts 3-10 Problem Solving: Draw a Picture and Write and Equation – Stop and Practice

Topic 4 – Multiplying by 1-Digit Numbers 4-1 Multiplying by Multiples of 10 and 100 4-2 Using Mental Math to Multiply 4-3 Using Rounding to Estimate 4-4 Using an Expanded Algorithm 4-5 Multiplying 2-Digit by 1-Digit Numbers 4-6 Multiplying 3-Digit by 1-Digit Numbers 4-7 Multiplying Greater Numbers by 1-Digit Numbers 4-8 Problem Solving: Reasonableness – Stop and Practice

Topic 5 – Variables and Expressions 5-1 Variables and Expressions 5-2 Equality 5-3 Expressions with Parentheses 5-4 Simplifying Expressions 5-8 Problem Solving: Act it Out and Use Reasoning – Stop and Practice Topic 6 – Multiplying by 2-Digit Numbers 6-1 Using Mental Math to Multiply 2-Digit Numbers 6-2 Estimating Products 6-3 Arrays and an Expanded Algorithm

6.4 Multiplying 2-Digit Numbers and Multiples of Ten 6-5 Multiplying 2-Digit by 2-Digit Numbers 6-6 Multiplying Greater Numbers by 2-Digit Numbers 6-7 Problem Solving: Two-Question Problems Topic 7 – Dividing by 1-Digit Divisors 7-1 Using Mental Math to Divide 7-2 Estimating Quotients 7-3 Dividing with Remainders 7-4 Connecting Models and Symbols 7-5 Dividing 2-Digit by 1-Digit Numbers 7-6 Dividing 3-Digit by 1-Digit Numbers 7-7 Deciding Where to Start Dividing 7-8 Division and Zero 7-9 Factors 7-10 Prime and Composite Numbers 7-11 Problem Solving: Multiple-Step Problems – Stop

and Practice Topic 8 – Lines, Angles, Shapes, and Solids 8-1 Points, Lines, and Planes 8-2 Line Segments, Rays, and Angles 8-3 Polygons 8-4 Triangles 8-5 Quadrilaterals 8-6 Circles 8-7 Solids 8-8 Views of Solids: Nets 8-9 Views of Solids: Perspective 8-10 Problem Solving: Make and Test Generalizations

Topic 9 – Fraction Meanings and Concepts 9-1 Regions and Sets 9-2 Fractions and Division 9-3 Equivalent Fractions 9-4 Fractions in Simplest Form 9-5 Improper Fractions and Mixed Numbers 9-6 Comparing Fractions 9-7 Ordering Fractions 9-8 Problem Solving: Writing to Explain – Stop and

Practice Topic 10- Addition and Subtraction of Fractions 10-1 Adding and Subtracting Fractions with Like

Denominators 10-2 Adding Fractions with Unlike Denominators 10-3 Subtracting Fractions with Unlike Denominators 10-4 Problem Solving: Draw a Picture and Write an

Equations Topic 11- Fraction and Decimal Concepts 11-1 Decimal Place Value 11-2 Comparing and Ordering Decimals 11-3 Fractions and Decimals 11-4 Fractions and Decimals on the Number Line 11-5 Mixed Numbers and Decimals on the Number Line 11-6 Problem Solving: Use Objects and Make a Table Topic 12 – Operations with Decimals 12-1 Rounding Decimals 12-2 Estimating Sums and Differences of Decimals 12-3 Models for Adding and Subtracting Decimals 12-4 Adding and Subtracting Decimals

12-5 Multiplying and Dividing with Decimals 12-6 Problem Solving: Try, Check, and Revise Topic 13- Solving Equations 13-1 Equal or Not Equal 13-2 Solving Addition and Subtraction Equations 13-3 Solving Multiplication and Division Equations 13-4 Translating Words to Equations 13-5 Problem Solving: Work Backward Topic 14 – Integers 14-1 Understanding Integers 14-2 Comparing Integers 14-3 Ordering Integers 14-4 Problem Solving: Draw a Picture

Topic 15- Measurement, Perimeter, and Area 15-1 Customary Measures 15-2 Metric Measures 15-3 Perimeter 15-4 Area of Squares and Rectangles 15-5 Areas of Irregular Shapes 15-6 Same Perimeter, Different Area 15-7 Same Area, Different Perimeter 15-8 Problem Solving: Solve a Simpler Problem and Make a Table – Stop and Practice Topic 16 – Data and Graphs 16-1 Data from Surveys 16-2 Interpreting Graphs 16-3 Line Plots 16-4 Means 16-5 Median, Mode, and Range 16-6 Problem Solving: Make a Graph Topic 17 – Lengths and Coordinates 17-1 Ordered Pairs 17-2 Shapes on Coordinate Grids – Stop and Practice 17-3 Lengths of Horizontal and Vertical Line Segments 17-4 Problem Solving: Solve a Simpler Problem Topic 18 – Formulas and Equations 18-1 Formulas and Equations 18-2 Addition and Subtraction Patterns and Equations 18-3 Multiplication and Division Patterns and Equations 18-4 Graphing Equations 18-5 More Graphing Equations 18-6 Problem Solving: Make a Table Topic 19 – Congruence and Symmetry 19-1 Congruent Figures 19-2 Line Symmetry 19-3 Rational Symmetry 19-4 Problem Solving: Draw a Picture Topic 20 – Probability 20-1 Finding Combinations 20-2 Outcomes and Tree Diagrams 20-3 Writing Probability as a Fraction 20-4 Problem Solving: Use Reasoning End of Year: Step-up Lessons for Grade 5

5th Grade

Topic 1 – Numeration 1-1 Place Value 1-2 Comparing and Ordering Whole Numbers 1-3 Decimal Place Value 1-4 Comparing and Ordering Decimals 1-5 Problem Solving: Look for a Pattern – Stop and Practice

Topic 2 – Addition and Subtraction Number Sense 2-1 Mental Math 2-2 Rounding Whole Number and Decimals 2-3 Estimating Sums and Differences 2-4 Adding and Subtracting – Stop and Practice 2-5 Adding Decimals 2-6 Subtracting Decimals 2-7 Problem Solving: Draw a Picture and Write

an Equation – Stop and Practice

Topic 3 – Reviewing Multiplication of Whole Numbers 3-1 Multiplication Properties 3-2 Estimating Products 3-3 Multiplying by 1-Digit Numbers 3-4 Multiplying by 2-Digit Numbers – Stop and Practice 3-5 Estimating and Multiplying with Greater Numbers 3-6 Exponents 3-7 Problem Solving: Multiple-Step Problems

Topic 4 – Division of Whole Numbers 4-1 Using Patterns to Divide 4-2 Estimating Quotients 4-3 Connecting Models and Symbols – Stop and

Practice 4-4 Dividing by 1-Digit Divisors 4-5 Zero in the Quotient 4-6 Dividing by 2-Digit Divisors 4-7 More Dividing by 2-Digit Divisors – Stop and Practice 4-8 Estimating and Dividing with Greater Numbers 4-9 Problem Solving: Draw a Picture and Write and Equation

Topic 5 – Variables and Expressions 5-1 Variables and Expressions 5-2 Patterns and Expressions – Stop and Practice 5-3 More Patterns and Expressions 5-4 Distributive Property 5-5 Order of Operations 5-6 Problem Solving: Act It Out and Use Reasoning

Topic 6 – Multiplying Decimals 6-1 Multiplying Decimals by 10, 100, or 1,000 6-2 Multiplying a Whole Number and a Decimal 6-3 Estimating the Product of a Whole Number and

Decimal 6.4 Multiplying Two Decimals 6-5 Multiplying with Zeros in the Product 6-6 Problem Solving: Reasonableness

Topic 7 – Dividing Decimals 7-1 Dividing Decimals by 10, 100, or 1,000 7-2 Dividing a Decimal by a Whole Number

7-3 Estimation: Decimals Divided by Whole Numbers 7-4 Dividing a Decimal by a Decimal 7-5 Problem Solving: Multiple-Step Problems – Stop

and Practice

Topic 8 – Shapes 8-1 Basic Geometric Ideas – Stop and Practice 8-2 Measuring and Classifying Angles 8-3 Polygons 8-4 Triangles 8-5 Quadrilaterals 8-6 Problem Solving: Make and Test Generalizations

Topic 9 – Factors and Multiples 9-1 Understanding Factors 9-2 Prime and Composite Numbers 9-3 Finding Prime Factors 9-4 Common Factors and Greatest Common Factors 9-5 Problem Solving: Try, Check, and Revise

Topic 10- Fractions, Mixed Numbers, and Decimals 10-1 Meaning of Fractions 10-2 Fractions and Divisions 10-3 Mixed Numbers and Improper Fractions 10-4 Equivalent Fractions 10-5 Comparing and Ordering Fractions and Mixed Numbers 10-6 Fractions in Simplest Forms –Stop and Practice 10-7 Tenths and Hundredths 10-8 Thousandths 10-9 Fractions and Decimals on the Number Line 10-10 Problem Solving: Writing to Explain

Topic 11- Adding and Subtracting Fractions and Mixed Numbers 11-1 Adding and Subtracting Fractions with Like

Denominators 11-2 Common Multiples and LCM 11-3 Adding Fractions with Unlike Denominators 11-4 Subtracting Fractions with Unlike Denominators 11-5 Adding Mixed Numbers 11-6 Subtracting Mixed Numbers 11-7 Problem Solving: Look for a Pattern

Topic 12 – Multiplying and Dividing Fractions and Mixed Numbers

12-1 Multiplying Factions and Whole Numbers 12-2 Multiplying Two Fractions – Stop and Practice 12-3 Dividing a Whole Number by a Fraction 12-4 Dividing Two Fractions 12-5 Problem Solving: Mission or Extra Information 12-6 Multiplying Mixed Numbers 12-7 Dividing Mixed Numbers 12-8 Problem Solving: Draw a Picture and Write an

Equation

Topic 13- Length, Perimeter, and Area 13-1 Using Customary Units of Length 13-2 Using Metric Units of Length 13-3 Perimeter – Stop and Practice 13-4 Area of Squares and Rectangles 13-5 Area of Parallelograms 13-6 Area of Triangles 13-7 Problem Solving: Draw a Picture and Make an

Organized List

Topic 14 – Solids 14-1 Solids 14-2 Relating Shapes and Solids 14-3 Surface Area 14-4 Views of Solids 14-5 Models and Volume 14-6 Volume – Stop and Practice 14-7 Problem Solving: Use Objects and Solve a

Simpler Problem

Topic 15- Integers 15-1 Understanding Integers 15-2 Comparing and Ordering Integers 15-3 Integers and the Number Line 15-4 Adding Integers – Stop and Practice 15-5 Subtracting Integers 15-6 Simplifying Expressions 15-7 Problem Solving: Work Backward Topic 16 – Solving and Writing Equations 16-1 Solving Addition and Subtraction Equations 16-2 Solving Multiplication and Division Equations 16-3 Problem Solving: Use Reasoning 16-4 Patterns and Equations – Stop and Practice 16-5 More Patterns and Equations 16-6 Problem Solving: Draw a Picture and Write an Equation Topic 17 – Percents 17-1 Understanding Ratios 17-2 Understanding Percent 17-3 Percents, Fractions, and Decimals 17-4 Finding Percent of a Whole Number 17-5 Problem Solving: Make a Table and Look for a Pattern Topic 18 – Equations and Graphs 18-1 Ordered Pairs – Stop and Practice 18-2 Line Graphs 18-3 Graphing Equations 18-4 Problem Solving: Work Backward Topic 19 – Graphs and Data 19-1 Bar Graphs and Picture Graphs – Stop and Practice 19-2 Histograms 19-3 Circle Graphs 19-4 Make a Graph 19-5 Mean 19-6 Median, Mode, and Range 19-7 Outcomes 19-8 Problem Solving: Writing Probability as a Fraction Topic 20 – Constructions 20-1 Constructing Angles 20-2 Constructing Lines – Stop and Practice 20-3 Constructing Shapes 20-4 Problem Solving: Use Objects End of Year: Step-up Lessons for Grade 6

6th Grade

Topic 1 – Numeration 1-1 Place Value 1-2 Comparing and Ordering Whole Numbers 1-3 Exponents and Place Value 1-4 Decimal Place Value 1-5 Comparing and Ordering Decimals 1-6 Problem Solving: Make an Organized List

Topic 2 – Variables, Expressions, and Properties 2-1 Using Variables to Write Expressions 2-2 Properties of Operations 2-3 Order of Operations 2-4 The Distributive Property 2-5 Mental Math 2-6 Evaluating Expressions 2-7 Using Expressions to Describe Patterns 2-8 Problem Solving: Make a Table – Stop and

Practice

Topic 3 – Whole Numbers and Decimals 3-1 Estimating with Whole Numbers 3-2 Estimating with Decimals 3-3 Adding and Subtracting 3-4 Multiplying 3-5 Dividing by a Whole Number 3-6 Dividing by a Decimal 3-7 Evaluating Expressions 3-8 Problem Solving: Multiple-Step Problems –

Stop and Practice

Topic 4 – Solving Equations 4-1 Properties of Equality 4-2 Solving Addition and Subtraction Equations 4-3 Problem Solving: Draw a Picture and Write

and Equation 4-4 Solving Multiplication and Division Equations 4-5 Problem Solving: Draw a Picture and Write and Equation – Stop and Practice

Topic 5 – Integers 5-1 Understanding Integers 5-2 Comparing and Ordering Integers 5-3 Adding Integers 5-4 Subtracting Integers 5-5 Multiplying Integers 5-6 Dividing Integers 5-7 Solving Equations with Integers 5-8 Problem Solving: Work Backward – Stop and Practice

Topic 6 – Properties of Two-Dimensional Figures 6-1 Basic Geometric Ideas 6-2 Measuring and Drawing Angles 6-3 Angle Pairs 6.4 Triangles 6-5 Quadrilaterals 6-6 Circles 6-7 Problem Solving: Make a Table and Look for

a Pattern

Topic 7 – Number and Fraction Concepts 7-1 Prime Factorization 7-2 Greatest Common Factor 7-3 Understanding Factors 7-4 Equivalent Fractions 7-5 Fractions in Simplest Form 7-6 Problem Solving: Make and Test Conjectures

Topic 8 – Decimals, Fractions, and Mixed Numbers 8-1 Fractions and Division 8-2 Fractions and Decimals 8-3 Improper Fractions and Mixed Numbers 8-4 Decimal Forms of Fractions and Mixed Numbers 8-5 Rational Numbers on a Number Line 8-6 Problem Solving: Draw a Picture

Topic 9 – Adding and Subtracting Fractions and Mixed Numbers

9-1 Adding and Subtracting: Like Denominators 9-2 Least Common Multiple 9-3 Adding and Subtracting: Unlike Denominators 9-4 Estimating Sums and Differences of Mixed Numbers 9-5 Adding Mixed Numbers 9-6 Subtracting Mixed Numbers 9-7 Problem Solving: Make a Table

Topic 10- Multiplying and Dividing Fractions and Mixed Numbers 10-1 Multiplying Fractions 10-2 Understanding Division of Fractions 10-3 Dividing Fractions 10-4 Estimating Products and Quotients 10-5 Multiplying Mixed Numbers 10-6 Dividing Mixed Numbers 10-7 Solving Equations 10-8 Problem Solving: Look for a Pattern

Topic 11- Ratios, Rates, and Proportions 11-1 Understanding Ratios 11-2 Equal Ratios and Proportions 11-3 Understanding Rates and Unit Rates 11-4 Comparing Rates 11-5 Distance, Rate, and Time 11-6 Problem Solving: Draw a Picture

Topic 12 – Solving Proportions 12-1 Using Ratio Tables 12-2 Using Unit Rates 12-3 Using Cross Multiplication 12-4 Problem Solving: Writing to Explain 12-5 Similar Figures 12-6 Maps and Scale Drawings

Topic 13- Understanding Percent 13-1 Understanding Percent 13-2 Fractions, Decimals, and Percents 13-3 Percents Greater Than 100 and Less Than 1 13-4 Estimating Percent 13-5 Finding the Percent of a Number 13-6 Tips, Taxes, Discount, and Simple Interest 13-7 Problem Solving: Reasonableness

Topic 14 – Equations and Graphs 14-1 Equations With More Than One Operation 14-2 Patterns and Equations 14-3 More Patterns and Equations 14-4 Graphing Points in a Coordinate Plane 14-5 Graphing Equations 14-6 Graphing Equations with More than One Operation 14-7 Problem Solving: Act It Out and Use Logical

Reasoning Topic 15 – Measurement 15-1 Converting Customary Measures 15-2 Converting Metric Measures 15-3 Relating Customary and Metric Measures 15-4 Problem Solving: Use Reasoning Topic 16 – Perimeter and Area 16-1 Perimeter 16-2 Area of Squares and Rectangles 16-3 Area of Parallelograms and Triangles 16-4 Circumference 16-5 Area of a Circle 16-6 Problem Solving: Use Objects Topic 17 – Volume 17-1 Solid Figures 17-2 Volume of Rectangular Prisms 17-3 Volume of Triangular Prisms and Cylinders 17-4 Problem Solving: Use Objects and Reasoning Topic 18 – Graphs 18-1 Reading and Making Graphs 18-2 Circle Graphs 18-3 Misleading Graphs 18-4 Problem Solving: Make a Graph Topic 19 – Data and Statistics 19-1 Mean, Median, Mode, and Range 19-2 Line Plots 19-3 Effects of Outliers 19-4 Stem-and-Leaf Plots 19-5 Appropriate Use of Statistical Measures 19-6 Sampling Methods 19-7 Population and Sample Data 19-8 Bias in Sampling and Surveys 19-9 Using Statistics to Draw Conclusions 19-10 Problem Solving: Try, Check, and Revise Topic 20 –Probability 20-1 Counting Methods 20-2 Permutations and Combinations 20-3 Probability 20-4 Theoretical and Experimental Probability 20-5 Adding Probabilities 20-6 Independent and Dependent Events 20-4 Problem Solving: Make an Organized List