This document outlines the topics and lessons covered in the 1st grade mathematics curriculum. It includes 15 main topics: (1) numbers to 12, (2) comparing/ordering numbers, (3) understanding addition, (4) understanding subtraction, (5) geometry, (6) patterns, (7) time, (8) counting and number patterns to 100, (9) addition and subtraction facts to 20, (10) practicing addition and subtraction facts, and (11) data and graphs. Each topic contains between 1-8 specific lessons focusing on key mathematical concepts and problem solving skills for 1st grade level.

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. 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. 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. 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. 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. 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. 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