IXL skill plan | Grade 3 plan for IM® K-12 Math

Skill plan for IM^® K-12 Math - Grade 3

IXL provides skill alignments with recommended IXL skills for each unit. Find the IXL skills that are right for you below!

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1	Unit 1 Introducing Multiplication
Section A - Interpret and Represent Data on Scaled Graphs
Lesson 1: Make Sense of Data		1. Interpret picture graphs: numbers up to 10 2. Interpret bar graphs: numbers up to 10
Lesson 1: Make Sense of Data
1. Interpret picture graphs: numbers up to 10 2. Interpret bar graphs: numbers up to 10

Lesson 2: Represent Data and Solve Problems		1. Create bar graphs: numbers up to 10 2. Create picture graphs: numbers up to 10
Lesson 2: Represent Data and Solve Problems
1. Create bar graphs: numbers up to 10 2. Create picture graphs: numbers up to 10

Lesson 3: Scaled Picture Graphs		1. Interpret scaled picture graphs Also consider: • Add two-digit numbers: sums up to 100 • Skip-count
Lesson 3: Scaled Picture Graphs
1. Interpret scaled picture graphs Also consider: • Add two-digit numbers: sums up to 100 • Skip-count

Lesson 4: Create Scaled Picture Graphs		1. Create scaled picture graphs
Lesson 4: Create Scaled Picture Graphs
1. Create scaled picture graphs

Lesson 5: Represent Data in Scaled Bar Graphs		1. Read bar graphs
Lesson 5: Represent Data in Scaled Bar Graphs
1. Read bar graphs

Lesson 6: Choose a Scale		1. Create scaled bar graphs
Lesson 6: Choose a Scale
1. Create scaled bar graphs

Lesson 7: Answer Questions About Scaled Bar Graphs Lesson 8: More Questions About Scaled Bar Graphs		1. Interpret scaled bar graphs 2. Use bar graphs to solve problems
Lesson 7: Answer Questions About Scaled Bar Graphs Lesson 8: More Questions About Scaled Bar Graphs
1. Interpret scaled bar graphs 2. Use bar graphs to solve problems
Section B - From Graphs to Multiplication
Lesson 9: Multiplication as Equal Groups		1. Count equal groups
Lesson 9: Multiplication as Equal Groups
1. Count equal groups

Lesson 10: Drawings, Situations, and Diagrams, Oh My!		1. Use strip models to solve multiplication word problems
Lesson 10: Drawings, Situations, and Diagrams, Oh My!
1. Use strip models to solve multiplication word problems

Lesson 11: Multiplication Expressions		1. Identify multiplication expressions for equal groups
Lesson 11: Multiplication Expressions
1. Identify multiplication expressions for equal groups

Lesson 12: Represent and Solve Multiplication Problems		1. Use equal groups to solve multiplication word problems Also consider: • Multiplication word problems with factors up to 5
Lesson 12: Represent and Solve Multiplication Problems
1. Use equal groups to solve multiplication word problems Also consider: • Multiplication word problems with factors up to 5

Lesson 13: Multiplication Equations		1. Write multiplication sentences for equal groups Also consider: • Multiply 2 by numbers up to 10
Lesson 13: Multiplication Equations
1. Write multiplication sentences for equal groups Also consider: • Multiply 2 by numbers up to 10

Lesson 14: Write and Solve Equations with Unknowns		1. Multiplication facts for 2, 5, and 10: find the missing factor 2. Multiplication word problems with factors up to 10: find the missing number Also consider: • Multiply 5 by numbers up to 10
Lesson 14: Write and Solve Equations with Unknowns
1. Multiplication facts for 2, 5, and 10: find the missing factor 2. Multiplication word problems with factors up to 10: find the missing number Also consider: • Multiply 5 by numbers up to 10

Lesson 15: More Factors, More Problems		1. Word problems with multiplication Also consider: • Multiply 10 by numbers up to 10
Lesson 15: More Factors, More Problems
1. Word problems with multiplication Also consider: • Multiply 10 by numbers up to 10
Section C - Represent Multiplication with Arrays and the Commutative Property
Lesson 16: Arrange Objects Into Arrays Lesson 17: Match and Draw Arrays		1. Identify multiplication expressions for arrays Also consider: • Write addition sentences for arrays: sums to 25 • Multiply 1 by numbers up to 10
Lesson 16: Arrange Objects Into Arrays Lesson 17: Match and Draw Arrays
1. Identify multiplication expressions for arrays Also consider: • Write addition sentences for arrays: sums to 25 • Multiply 1 by numbers up to 10

Lesson 18: Represent Arrays with Expressions		1. Write multiplication sentences for arrays 2. Make arrays to model multiplication
Lesson 18: Represent Arrays with Expressions
1. Write multiplication sentences for arrays 2. Make arrays to model multiplication

Lesson 19: Solve Problems Involving Arrays		1. Use arrays to solve multiplication word problems Also consider: • Multiply 9 by numbers up to 10
Lesson 19: Solve Problems Involving Arrays
1. Use arrays to solve multiplication word problems Also consider: • Multiply 9 by numbers up to 10

Lesson 20: The Commutative Property		1. Write two multiplication sentences for an array Also consider: • Multiply 3 by numbers up to 10
Lesson 20: The Commutative Property
1. Write two multiplication sentences for an array Also consider: • Multiply 3 by numbers up to 10

Lesson 21: Game Night Seating Plan		1. Multiplication word problems with factors up to 10 Also consider: • Multiply 4 by numbers up to 10
Lesson 21: Game Night Seating Plan
1. Multiplication word problems with factors up to 10 Also consider: • Multiply 4 by numbers up to 10

2	Unit 2 Area and Multiplication
Section A - Concepts of Area Measurement
Lesson 1: What Is Area?		1. Tile a rectangle with squares
Lesson 1: What Is Area?
1. Tile a rectangle with squares

Lesson 2: How Do We Measure Area?		1. Find the area of figures made of unit squares Also consider: • Select figures with a given area • Create figures with a given area
Lesson 2: How Do We Measure Area?
1. Find the area of figures made of unit squares Also consider: • Select figures with a given area • Create figures with a given area

Lesson 3: Tile Rectangles		1. Tile a rectangle and find the area 2. Create rectangles with a given area Also consider: • Select two figures with the same area
Lesson 3: Tile Rectangles
1. Tile a rectangle and find the area 2. Create rectangles with a given area Also consider: • Select two figures with the same area

Lesson 4: Area of Rectangles		1. Find the area of rectangles made of unit squares 2. Create rectangles and squares with a given area
Lesson 4: Area of Rectangles
1. Find the area of rectangles made of unit squares 2. Create rectangles and squares with a given area
Section B - Relate Area to Multiplication
Lesson 5: Represent Products as Areas		1. Multiply to find the area of a rectangle made of unit squares
Lesson 5: Represent Products as Areas
1. Multiply to find the area of a rectangle made of unit squares

Lesson 6: Different Square Units (Part 1) Lesson 7: Different Square Units (Part 2)		1. Find the area of figures made of unit squares: customary and metric units Also consider: • Tile a rectangle and find the area: customary and metric units
Lesson 6: Different Square Units (Part 1) Lesson 7: Different Square Units (Part 2)
1. Find the area of figures made of unit squares: customary and metric units Also consider: • Tile a rectangle and find the area: customary and metric units

Lesson 8: Area of Rectangles without a Grid		1. Find the area of rectangles: side lengths up to 5 units Also consider: • Area of figures on grids
Lesson 8: Area of Rectangles without a Grid
1. Find the area of rectangles: side lengths up to 5 units Also consider: • Area of figures on grids

Lesson 9: Measure to Find the Area		1. Find the area of rectangles and squares Also consider: • Measure using a centimeter ruler
Lesson 9: Measure to Find the Area
1. Find the area of rectangles and squares Also consider: • Measure using a centimeter ruler

Lesson 10: Solve Area Problems		1. Find the area of rectangles: word problems Also consider: • Find the missing side length of a rectangle • Multiply 6 by numbers up to 10
Lesson 10: Solve Area Problems
1. Find the area of rectangles: word problems Also consider: • Find the missing side length of a rectangle • Multiply 6 by numbers up to 10

Lesson 11: Area and the Multiplication Table		1. Multiplication facts up to 10
Lesson 11: Area and the Multiplication Table
1. Multiplication facts up to 10
Section C - Find Area of Figures Composed of Rectangles
Lesson 12: Area and Addition		1. Find the area of complex figures by dividing them into rectangles
Lesson 12: Area and Addition
1. Find the area of complex figures by dividing them into rectangles

Lesson 13: Find the Area of Figures		1. Find the area of complex figures
Lesson 13: Find the Area of Figures
1. Find the area of complex figures

Lesson 14: Find the Area of Figures with Missing Sides		1. Find the area of complex figures with missing side lengths
Lesson 14: Find the Area of Figures with Missing Sides
1. Find the area of complex figures with missing side lengths

Lesson 15: New Room		1. Find the area between two rectangles 2. Find the area of complex figures: word problems
Lesson 15: New Room
1. Find the area between two rectangles 2. Find the area of complex figures: word problems

3	Unit 3 Wrapping up Addition and Subtraction within 1,000
Section A - Add within 1,000
Lesson 1: Represent Numbers in Different Ways		1. Place value models up to hundreds 2. Convert between standard and expanded form: up to 1,000 3. Writing numbers up to 1,000 in words - convert words to digits 4. Writing numbers up to 1,000 in words - convert digits to words
Lesson 1: Represent Numbers in Different Ways
1. Place value models up to hundreds 2. Convert between standard and expanded form: up to 1,000 3. Writing numbers up to 1,000 in words - convert words to digits 4. Writing numbers up to 1,000 in words - convert digits to words

Lesson 2: Addition and Subtraction Situations		1. Add two numbers up to three digits: word problems 2. Subtract numbers up to three digits: word problems
Lesson 2: Addition and Subtraction Situations
1. Add two numbers up to three digits: word problems 2. Subtract numbers up to three digits: word problems

Lesson 3: Add Your Way		1. Use models to add three-digit numbers: without regrouping 2. Use number lines to add three-digit numbers 3. Add two numbers up to three digits: without regrouping
Lesson 3: Add Your Way
1. Use models to add three-digit numbers: without regrouping 2. Use number lines to add three-digit numbers 3. Add two numbers up to three digits: without regrouping

Lesson 4: Introduction to Addition Algorithms		1. Use models to add three-digit numbers: with regrouping 2. Use expanded form to add three-digit numbers Also consider: • Regroup tens and ones - ways to make a number
Lesson 4: Introduction to Addition Algorithms
1. Use models to add three-digit numbers: with regrouping 2. Use expanded form to add three-digit numbers Also consider: • Regroup tens and ones - ways to make a number

Lesson 5: Another Addition Algorithm		1. Add two numbers up to three digits
Lesson 5: Another Addition Algorithm
1. Add two numbers up to three digits

Lesson 6: Use Strategies and Algorithms to Add		1. Add three-digit numbers Also consider: • Addition input/output tables: up to three digits
Lesson 6: Use Strategies and Algorithms to Add
1. Add three-digit numbers Also consider: • Addition input/output tables: up to three digits
Section B - Subtract within 1,000
Lesson 7: Subtract Your Way		1. Use number lines to subtract three-digit numbers 2. Subtract with two-digit or three-digit numbers Also consider: • Subtract multiples of 10 or 100
Lesson 7: Subtract Your Way
1. Use number lines to subtract three-digit numbers 2. Subtract with two-digit or three-digit numbers Also consider: • Subtract multiples of 10 or 100

Lesson 8: Subtraction Algorithms (Part 1)		1. Use models to subtract numbers up to three-digits: with regrouping
Lesson 8: Subtraction Algorithms (Part 1)
1. Use models to subtract numbers up to three-digits: with regrouping

Lesson 9: Subtraction Algorithms (Part 2)		1. Use expanded form to subtract three-digit numbers
Lesson 9: Subtraction Algorithms (Part 2)
1. Use expanded form to subtract three-digit numbers

Lesson 10: Subtraction Algorithms (Part 3)		1. Subtract three-digit numbers: regroup tens or hundreds
Lesson 10: Subtraction Algorithms (Part 3)
1. Subtract three-digit numbers: regroup tens or hundreds

Lesson 11: Analyze Subtraction Algorithms		1. Subtract across zeros 2. Subtract three-digit numbers: with regrouping
Lesson 11: Analyze Subtraction Algorithms
1. Subtract across zeros 2. Subtract three-digit numbers: with regrouping

Lesson 12: Subtract Strategically		1. Subtract three-digit numbers: regroup tens and hundreds 2. Subtract numbers up to three digits
Lesson 12: Subtract Strategically
1. Subtract three-digit numbers: regroup tens and hundreds 2. Subtract numbers up to three digits
Section C - Round within 1,000
Lesson 13: Multiples of 100		1. Estimate to compare sums and differences
Lesson 13: Multiples of 100
1. Estimate to compare sums and differences

Lesson 14: Nearest Multiples of 10 and 100		1. Round to the nearest ten or hundred using a number line
Lesson 14: Nearest Multiples of 10 and 100
1. Round to the nearest ten or hundred using a number line

Lesson 15: Round to the Nearest Ten and Hundred		1. Round to the nearest ten or hundred 2. Round to the nearest ten or hundred in a table
Lesson 15: Round to the Nearest Ten and Hundred
1. Round to the nearest ten or hundred 2. Round to the nearest ten or hundred in a table

Lesson 16: Round and Round Again		1. Rounding puzzles Also consider: • Even or odd
Lesson 16: Round and Round Again
1. Rounding puzzles Also consider: • Even or odd
Section D - Solve Two-Step Problems
Lesson 17: Does It Make Sense?		1. Estimate sums and differences: word problems Also consider: • Estimate sums by rounding: up to 1,000 • Estimate differences by rounding: up to 1,000
Lesson 17: Does It Make Sense?
1. Estimate sums and differences: word problems Also consider: • Estimate sums by rounding: up to 1,000 • Estimate differences by rounding: up to 1,000

Lesson 18: Diagrams and Equations for Word Problems		1. Two-step addition and subtraction word problems
Lesson 18: Diagrams and Equations for Word Problems
1. Two-step addition and subtraction word problems

Lesson 19: Situations and Equations		1. Write variable equations to represent word problems: addition, subtraction, and multiplication 2. Use equations to solve two-step addition and subtraction word problems
Lesson 19: Situations and Equations
1. Write variable equations to represent word problems: addition, subtraction, and multiplication 2. Use equations to solve two-step addition and subtraction word problems

Lesson 20: More Practice to Represent and Solve		1. Perform multiple operations with whole numbers
Lesson 20: More Practice to Represent and Solve
1. Perform multiple operations with whole numbers

Lesson 21: Classroom Supplies		1. Multiply money amounts: word problems 2. Add three numbers up to three digits each: word problems Also consider: • Add three numbers up to three digits each
Lesson 21: Classroom Supplies
1. Multiply money amounts: word problems 2. Add three numbers up to three digits each: word problems Also consider: • Add three numbers up to three digits each

4	Unit 4 Relating Multiplication to Division
Section A - What Is Division?
Lesson 1: How Many Groups?		1. Division word problems: how many equal groups? Also consider: • Divide by counting equal groups
Lesson 1: How Many Groups?
1. Division word problems: how many equal groups? Also consider: • Divide by counting equal groups

Lesson 2: How Many in Each Group?		1. Division word problems: how many in each group?
Lesson 2: How Many in Each Group?
1. Division word problems: how many in each group?

Lesson 3: Division Situation Drawings		1. Use equal groups to solve division word problems
Lesson 3: Division Situation Drawings
1. Use equal groups to solve division word problems

Lesson 4: Interpret Division Expressions		1. Write division sentences for groups
Lesson 4: Interpret Division Expressions
1. Write division sentences for groups

Lesson 5: Write Division Expressions		1. Division word problems: divisors and quotients up to 5
Lesson 5: Write Division Expressions
1. Division word problems: divisors and quotients up to 5
Section B - Relate Multiplication and Division
Lesson 6: Division as an Unknown Factor		1. Relate multiplication and division for groups Also consider: • Relate multiplication and division for arrays
Lesson 6: Division as an Unknown Factor
1. Relate multiplication and division for groups Also consider: • Relate multiplication and division for arrays

Lesson 7: Relate Multiplication and Division		1. Division word problems Also consider: • Multiplication facts up to 10: find the missing factor
Lesson 7: Relate Multiplication and Division
1. Division word problems Also consider: • Multiplication facts up to 10: find the missing factor

Lesson 8: Relate Quotients to Familiar Products		1. Relate multiplication and division 2. Multiplication facts up to 10: true or false?
Lesson 8: Relate Quotients to Familiar Products
1. Relate multiplication and division 2. Multiplication facts up to 10: true or false?

Lesson 9: Patterns in the Multiplication Table		1. Identify multiplication patterns in tables 2. Multiplication facts for 6, 7, 8, and 9 Also consider: • Multiply by 2, 4, 6, 8 and 10 • Multiplication facts for 6, 7, 8, and 9: find the missing factor • Skip-counting sequences
Lesson 9: Patterns in the Multiplication Table
1. Identify multiplication patterns in tables 2. Multiplication facts for 6, 7, 8, and 9 Also consider: • Multiply by 2, 4, 6, 8 and 10 • Multiplication facts for 6, 7, 8, and 9: find the missing factor • Skip-counting sequences

Lesson 10: Explore Multiplication Strategies with Rectangles		1. Multiply one-digit numbers using grids 2. Find the area of a tiled rectangle using the distributive property Also consider: • Squares up to 12 x 12 • Multiplication facts for 6, 7, 8, and 9: true or false?
Lesson 10: Explore Multiplication Strategies with Rectangles
1. Multiply one-digit numbers using grids 2. Find the area of a tiled rectangle using the distributive property Also consider: • Squares up to 12 x 12 • Multiplication facts for 6, 7, 8, and 9: true or false?

Lesson 11: Multiplication Strategies on Ungridded Rectangles		1. Multiply using the distributive property Also consider: • Divide by 3: quotients up to 10 • Divide by 4: quotients up to 10 • Multiplication facts up to 10: select the missing factors
Lesson 11: Multiplication Strategies on Ungridded Rectangles
1. Multiply using the distributive property Also consider: • Divide by 3: quotients up to 10 • Divide by 4: quotients up to 10 • Multiplication facts up to 10: select the missing factors
Section C - Multiplying Larger Numbers
Lesson 12: Multiply Multiples of Ten		1. Multiply by a multiple of ten using place value 2. Multiply by a multiple of ten
Lesson 12: Multiply Multiples of Ten
1. Multiply by a multiple of ten using place value 2. Multiply by a multiple of ten

Lesson 13: Solve Problems with Equal Groups Lesson 14: Ways to Represent Multiplication of Teen Numbers		1. Multiply one-digit numbers by teen numbers using grids Also consider: • Divide by 6: quotients up to 10 • Divide by 7: quotients up to 10 • Multiplication facts up to 10: sorting
Lesson 13: Solve Problems with Equal Groups Lesson 14: Ways to Represent Multiplication of Teen Numbers
1. Multiply one-digit numbers by teen numbers using grids Also consider: • Divide by 6: quotients up to 10 • Divide by 7: quotients up to 10 • Multiplication facts up to 10: sorting

Lesson 15: Equal Groups, Larger Numbers		1. Multiply one-digit numbers by teen numbers Also consider: • Divide by 8: quotients up to 10 • Divide by 9: quotients up to 10 • Multiply 11 by numbers up to 12 • Multiply 12 by numbers up to 12
Lesson 15: Equal Groups, Larger Numbers
1. Multiply one-digit numbers by teen numbers Also consider: • Divide by 8: quotients up to 10 • Divide by 9: quotients up to 10 • Multiply 11 by numbers up to 12 • Multiply 12 by numbers up to 12

Lesson 16: Multiply Numbers Larger than 20		1. Multiply one-digit numbers by two-digit numbers using area models I 2. Multiply one-digit numbers by two-digit numbers using area models II 3. Break apart two-digit numbers to multiply Also consider: • Multiply one-digit numbers by two-digit numbers: word problems • Multiply one-digit numbers by two-digit numbers using partial products
Lesson 16: Multiply Numbers Larger than 20
1. Multiply one-digit numbers by two-digit numbers using area models I 2. Multiply one-digit numbers by two-digit numbers using area models II 3. Break apart two-digit numbers to multiply Also consider: • Multiply one-digit numbers by two-digit numbers: word problems • Multiply one-digit numbers by two-digit numbers using partial products

Lesson 17: Use the Four Operations to Solve Problems		1. Write equations with unknown numbers to represent word problems 2. Two-step multiplication and division word problems Also consider: • Two-step word problems: identify reasonable answers • Division facts up to 10
Lesson 17: Use the Four Operations to Solve Problems
1. Write equations with unknown numbers to represent word problems 2. Two-step multiplication and division word problems Also consider: • Two-step word problems: identify reasonable answers • Division facts up to 10
Section D - Dividing Larger Numbers
Lesson 18: Larger Numbers in Equal Groups		1. Division with teen numbers: word problems Also consider: • Division facts up to 12
Lesson 18: Larger Numbers in Equal Groups
1. Division with teen numbers: word problems Also consider: • Division facts up to 12

Lesson 19: Ways to Divide Larger Numbers		1. Divide two-digit numbers by one-digit numbers using area models Also consider: • Divide by 11: quotients up to 12 • Divide by 12: quotients up to 12
Lesson 19: Ways to Divide Larger Numbers
1. Divide two-digit numbers by one-digit numbers using area models Also consider: • Divide by 11: quotients up to 12 • Divide by 12: quotients up to 12

Lesson 20: Strategies for Dividing		1. Divide two-digit numbers by one-digit numbers using partial quotients Also consider: • Divide using number lines • Divide using repeated subtraction • Divide two-digit numbers by one-digit numbers: without remainders
Lesson 20: Strategies for Dividing
1. Divide two-digit numbers by one-digit numbers using partial quotients Also consider: • Divide using number lines • Divide using repeated subtraction • Divide two-digit numbers by one-digit numbers: without remainders

Lesson 21: Solve Problems Using the Four Operations		1. Two-step mixed operation word problems Also consider: • Division facts up to 10: sorting • Division facts up to 12: true or false? • Division sentences up to 12: true or false?
Lesson 21: Solve Problems Using the Four Operations
1. Two-step mixed operation word problems Also consider: • Division facts up to 10: sorting • Division facts up to 12: true or false? • Division sentences up to 12: true or false?

Lesson 22: School Community Garden		1. Multiplication and division word problems 2. Multiply one-digit numbers by two-digit numbers: multi-step word problems Also consider: • Multiplication and division facts up to 12: true or false? • Division facts up to 12: find the missing number • Division facts up to 12: select the missing numbers
Lesson 22: School Community Garden
1. Multiplication and division word problems 2. Multiply one-digit numbers by two-digit numbers: multi-step word problems Also consider: • Multiplication and division facts up to 12: true or false? • Division facts up to 12: find the missing number • Division facts up to 12: select the missing numbers

5	Unit 5 Fractions as Numbers
Section A - Introduction to Fractions
Lesson 1: Name the Parts		1. Identify equal parts 2. Make halves, thirds, fourths, sixths, and eighths
Lesson 1: Name the Parts
1. Identify equal parts 2. Make halves, thirds, fourths, sixths, and eighths

Lesson 2: Name Parts as Fractions		1. Match unit fractions to models Also consider: • Match fraction words to models • Unit fractions: modeling word problems • Unit fractions: word problems
Lesson 2: Name Parts as Fractions
1. Match unit fractions to models Also consider: • Match fraction words to models • Unit fractions: modeling word problems • Unit fractions: word problems

Lesson 3: Non-Unit Fractions		1. Understand fractions: area models 2. Show fractions: area models Also consider: • Write fractions using numbers and words
Lesson 3: Non-Unit Fractions
1. Understand fractions: area models 2. Show fractions: area models Also consider: • Write fractions using numbers and words

Lesson 4: Build Fractions from Unit Fractions		1. Understand fractions: fraction bars 2. Show fractions: fraction bars Also consider: • Decompose fractions into unit fractions using models
Lesson 4: Build Fractions from Unit Fractions
1. Understand fractions: fraction bars 2. Show fractions: fraction bars Also consider: • Decompose fractions into unit fractions using models
Section B - Fractions on the Number Line
Lesson 5: To the Number Line		1. Fractions of number lines: unit fractions 2. Identify unit fractions on number lines
Lesson 5: To the Number Line
1. Fractions of number lines: unit fractions 2. Identify unit fractions on number lines

Lesson 6: Locate Unit Fractions on the Number Line		1. Graph unit fractions on number lines
Lesson 6: Locate Unit Fractions on the Number Line
1. Graph unit fractions on number lines

Lesson 7: Non-Unit Fractions on the Number Line		1. Identify fractions on number lines 2. Graph fractions less than 1 on number lines 3. Graph fractions greater than 1 on number lines Also consider: • Fractions of number lines
Lesson 7: Non-Unit Fractions on the Number Line
1. Identify fractions on number lines 2. Graph fractions less than 1 on number lines 3. Graph fractions greater than 1 on number lines Also consider: • Fractions of number lines

Lesson 8: Fractions and Whole Numbers Lesson 9: All Kinds of Numbers on the Number Line		1. Graph fractions equivalent to 1 on number lines
Lesson 8: Fractions and Whole Numbers Lesson 9: All Kinds of Numbers on the Number Line
1. Graph fractions equivalent to 1 on number lines
Section C - Equivalent Fractions
Lesson 10: Equivalent Fractions		1. Find equivalent fractions using fraction strips 2. Find equivalent fractions using area models: two models
Lesson 10: Equivalent Fractions
1. Find equivalent fractions using fraction strips 2. Find equivalent fractions using area models: two models

Lesson 11: Generate Equivalent Fractions		1. Find equivalent fractions using fraction strips: one model
Lesson 11: Generate Equivalent Fractions
1. Find equivalent fractions using fraction strips: one model

Lesson 12: Equivalent Fractions on a Number Line		1. Find equivalent fractions using number lines 2. Graph equivalent fractions on number lines 3. Identify equivalent fractions Also consider: • Identify equivalent fractions on number lines • Find equivalent fractions
Lesson 12: Equivalent Fractions on a Number Line
1. Find equivalent fractions using number lines 2. Graph equivalent fractions on number lines 3. Identify equivalent fractions Also consider: • Identify equivalent fractions on number lines • Find equivalent fractions

Lesson 13: Whole Numbers and Fractions		1. Select fractions equivalent to whole numbers 2. Find fractions equivalent to whole numbers Also consider: • Select fractions equivalent to whole numbers using models • Fractions equivalent to one
Lesson 13: Whole Numbers and Fractions
1. Select fractions equivalent to whole numbers 2. Find fractions equivalent to whole numbers Also consider: • Select fractions equivalent to whole numbers using models • Fractions equivalent to one
Section D - Fraction Comparisons
Lesson 14: How Do You Compare Fractions?		1. Graph smaller or larger fractions on a number line
Lesson 14: How Do You Compare Fractions?
1. Graph smaller or larger fractions on a number line

Lesson 15: Compare Fractions with the Same Denominator		1. Compare fractions with like denominators 2. Graph and compare fractions with like denominators on number lines Also consider: • Compare fractions with like denominators using models • Order fractions with like denominators
Lesson 15: Compare Fractions with the Same Denominator
1. Compare fractions with like denominators 2. Graph and compare fractions with like denominators on number lines Also consider: • Compare fractions with like denominators using models • Order fractions with like denominators

Lesson 16: Compare Fractions with the Same Numerator		1. Compare fractions with like numerators 2. Graph and compare fractions with like numerators on number lines Also consider: • Compare fractions with like numerators using models • Order fractions with like numerators
Lesson 16: Compare Fractions with the Same Numerator
1. Compare fractions with like numerators 2. Graph and compare fractions with like numerators on number lines Also consider: • Compare fractions with like numerators using models • Order fractions with like numerators

Lesson 17: Compare Fractions		1. Compare fractions in recipes 2. Compare fractions
Lesson 17: Compare Fractions
1. Compare fractions in recipes 2. Compare fractions

Lesson 18: Design with Fractions		1. Make halves and fourths
Lesson 18: Design with Fractions
1. Make halves and fourths

6	Unit 6 Measuring Length, Time, Liquid Volume, and Weight
Section A - Measurement Data on Line Plots
Lesson 1: Measure in Halves of an Inch		1. Measure using an inch ruler: nearest 1/2 inch
Lesson 1: Measure in Halves of an Inch
1. Measure using an inch ruler: nearest 1/2 inch

Lesson 2: Measure in Fourths of an Inch Lesson 3: Measure in Halves and Fourths of an Inch		1. Measure using an inch ruler: nearest 1/4 inch
Lesson 2: Measure in Fourths of an Inch Lesson 3: Measure in Halves and Fourths of an Inch
1. Measure using an inch ruler: nearest 1/4 inch

Lesson 4: Interpret Measurement Data on Line Plots		1. Create and interpret line plots with fractions Also consider: • Interpret line plots
Lesson 4: Interpret Measurement Data on Line Plots
1. Create and interpret line plots with fractions Also consider: • Interpret line plots

Lesson 5: Represent Measurement Data on Line Plots		1. Create line plots with fractions Also consider: • Create line plots
Lesson 5: Represent Measurement Data on Line Plots
1. Create line plots with fractions Also consider: • Create line plots
Section B - Weight and Liquid Volume
Lesson 6: Estimate and Measure Weight		1. Which metric unit of mass is appropriate? Also consider: • Read a scale - metric units
Lesson 6: Estimate and Measure Weight
1. Which metric unit of mass is appropriate? Also consider: • Read a scale - metric units

Lesson 7: Introduction to Liquid Volume Lesson 8: Estimate and Measure Liquid Volume		1. Which metric unit of volume is appropriate? 2. Measure liquid volumes in liters Also consider: • Choose the appropriate measuring tool
Lesson 7: Introduction to Liquid Volume Lesson 8: Estimate and Measure Liquid Volume
1. Which metric unit of volume is appropriate? 2. Measure liquid volumes in liters Also consider: • Choose the appropriate measuring tool
Section C - Problems Involving Time
Lesson 9: Time to the Nearest Minute		1. Read clocks and write times 2. Match analog and digital clocks Also consider: • A.M. or P.M. • Match clocks and times • Read clocks and write times: to the nearest 5 minutes
Lesson 9: Time to the Nearest Minute
1. Read clocks and write times 2. Match analog and digital clocks Also consider: • A.M. or P.M. • Match clocks and times • Read clocks and write times: to the nearest 5 minutes

Lesson 10: Solve Problems Involving Time (Part 1) Lesson 11: Solve Problems Involving Time (Part 2)		1. Find the elapsed time: word problems 2. Find the end time: word problems Also consider: • Find the elapsed time • Find the end time • Find start and end times: two-step word problems
Lesson 10: Solve Problems Involving Time (Part 1) Lesson 11: Solve Problems Involving Time (Part 2)
1. Find the elapsed time: word problems 2. Find the end time: word problems Also consider: • Find the elapsed time • Find the end time • Find start and end times: two-step word problems
Section D - Measurement Problems in Context
Lesson 12: Ways to Represent Measurement Situations		1. Measurement word problems
Lesson 12: Ways to Represent Measurement Situations
1. Measurement word problems

Lesson 13: Problems with Missing Information		1. Addition, subtraction, multiplication, and division word problems Also consider: • Word problems with extra or missing information
Lesson 13: Problems with Missing Information
1. Addition, subtraction, multiplication, and division word problems Also consider: • Word problems with extra or missing information

Lesson 14: What Makes Sense in the Problem?		1. Time word problems
Lesson 14: What Makes Sense in the Problem?
1. Time word problems

Lesson 15: Ways to Solve Problems and Show Solutions		1. Measurement word problems II
Lesson 15: Ways to Solve Problems and Show Solutions
1. Measurement word problems II

Lesson 16: Design a Carnival Game		1. Find the start time, the end time, or the elapsed time: word problems 2. Add and subtract data from tables: up to three digits 3. Multiplication and division facts up to 10: find the missing number
Lesson 16: Design a Carnival Game
1. Find the start time, the end time, or the elapsed time: word problems 2. Add and subtract data from tables: up to three digits 3. Multiplication and division facts up to 10: find the missing number

7	Unit 7 Two-Dimensional Shapes and Perimeter
Section A - Reason with Shapes
Lesson 1: What Attributes Do You See?		1. Angles greater than, less than, or equal to a right angle 2. Count and compare sides and vertices Also consider: • Identify polygons: up to 8 sides
Lesson 1: What Attributes Do You See?
1. Angles greater than, less than, or equal to a right angle 2. Count and compare sides and vertices Also consider: • Identify polygons: up to 8 sides

Lesson 2: Attributes of Triangles and Quadrilaterals Lesson 3: Attributes That Define Shapes		1. Sides and angles of quadrilaterals Also consider: • Parallel sides in quadrilaterals • Scalene, isosceles, and equilateral triangles
Lesson 2: Attributes of Triangles and Quadrilaterals Lesson 3: Attributes That Define Shapes
1. Sides and angles of quadrilaterals Also consider: • Parallel sides in quadrilaterals • Scalene, isosceles, and equilateral triangles

Lesson 4: Attributes of Rectangles, Rhombuses, and Squares		1. Identify rectangles 2. Identify rhombuses 3. Classify rectangles and rhombuses
Lesson 4: Attributes of Rectangles, Rhombuses, and Squares
1. Identify rectangles 2. Identify rhombuses 3. Classify rectangles and rhombuses

Lesson 5: Attributes of Other Quadrilaterals		1. Draw squares, rectangles, and rhombuses
Lesson 5: Attributes of Other Quadrilaterals
1. Draw squares, rectangles, and rhombuses
Section B - What Is Perimeter?
Lesson 6: Distance Around Shapes Lesson 7: Same Perimeter, Different Shapes		1. Perimeter of figures on grids 2. Rectangles with the same perimeter and different areas
Lesson 6: Distance Around Shapes Lesson 7: Same Perimeter, Different Shapes
1. Perimeter of figures on grids 2. Rectangles with the same perimeter and different areas

Lesson 8: Find the Perimeter		1. Perimeter of polygons 2. Perimeter of rectilinear shapes Also consider: • Perimeter of quadrilaterals
Lesson 8: Find the Perimeter
1. Perimeter of polygons 2. Perimeter of rectilinear shapes Also consider: • Perimeter of quadrilaterals

Lesson 9: Perimeter Problems		1. Perimeter of polygons: find the missing side lengths 2. Perimeter: word problems Also consider: • Perimeter: find the missing side length • Perimeter of rectangles
Lesson 9: Perimeter Problems
1. Perimeter of polygons: find the missing side lengths 2. Perimeter: word problems Also consider: • Perimeter: find the missing side length • Perimeter of rectangles
Section C - Expanding on Perimeter
Lesson 10: Problem Solving with Perimeter and Area		1. Find the missing side length of a rectangle: word problems 2. Find the area or perimeter of rectangles and squares
Lesson 10: Problem Solving with Perimeter and Area
1. Find the missing side length of a rectangle: word problems 2. Find the area or perimeter of rectangles and squares

Lesson 11: Rectangles with the Same Perimeter		1. Relationship between area and perimeter: find the area
Lesson 11: Rectangles with the Same Perimeter
1. Relationship between area and perimeter: find the area

Lesson 12: Rectangles with the Same Area		1. Relationship between area and perimeter: find the perimeter
Lesson 12: Rectangles with the Same Area
1. Relationship between area and perimeter: find the perimeter
Section D - Design with Perimeter and Area
Lesson 13: Shapes and Play		1. Find the area, perimeter, or side length: word problems Also consider: • Compare area and perimeter of two figures
Lesson 13: Shapes and Play
1. Find the area, perimeter, or side length: word problems Also consider: • Compare area and perimeter of two figures

Lesson 14: Wax Prints		1. Find the perimeter of rectangles and squares: use properties Also consider: • Draw quadrilaterals II
Lesson 14: Wax Prints
1. Find the perimeter of rectangles and squares: use properties Also consider: • Draw quadrilaterals II

Lesson 15: Design Your Own Robot		1. Area and perimeter of rectangles: find the missing side length
Lesson 15: Design Your Own Robot
1. Area and perimeter of rectangles: find the missing side length

8	Unit 8 Putting It All Together
Section A - Fraction Fun
Lesson 1: Estimation Explorations with Fractions		1. Make halves, thirds, and fourths in different ways 2. Match fractions to models 3. Graph fractions on number lines Also consider: • Make halves, thirds, and fourths • Make sixths and eighths
Lesson 1: Estimation Explorations with Fractions
1. Make halves, thirds, and fourths in different ways 2. Match fractions to models 3. Graph fractions on number lines Also consider: • Make halves, thirds, and fourths • Make sixths and eighths

Lesson 2: Create Your Own Number Line		1. Graph and compare fractions on number lines 2. Graph and order fractions on number lines Also consider: • Compare fractions using benchmarks • Compare fractions using number lines • Compare fractions using models • Order fractions
Lesson 2: Create Your Own Number Line
1. Graph and compare fractions on number lines 2. Graph and order fractions on number lines Also consider: • Compare fractions using benchmarks • Compare fractions using number lines • Compare fractions using models • Order fractions

Lesson 3: Fractions Round Table		1. Fractions of a whole: modeling word problems 2. Fractions of a whole: word problems Also consider: • Benchmark fractions • Fractions of a group: word problems
Lesson 3: Fractions Round Table
1. Fractions of a whole: modeling word problems 2. Fractions of a whole: word problems Also consider: • Benchmark fractions • Fractions of a group: word problems
Section B - Measurement and Data
Lesson 4: Tiny House: Design and Solve		1. Find the area or perimeter of figures on grids Also consider: • Find the area of rectangles with missing unit squares
Lesson 4: Tiny House: Design and Solve
1. Find the area or perimeter of figures on grids Also consider: • Find the area of rectangles with missing unit squares

Lesson 5: Tiny House: Cost		1. Use area and perimeter to determine cost Also consider: • Purchases up to $50 - do you have enough money
Lesson 5: Tiny House: Cost
1. Use area and perimeter to determine cost Also consider: • Purchases up to $50 - do you have enough money

Lesson 6: Survey the Class, Survey the School Lesson 7: Graph and Answer		1. Interpret bar graphs: multi-digit numbers 2. Create bar graphs: multi-digit numbers Also consider: • Interpret picture graphs: multiples of 10 • Interpret tally charts • Interpret data in tables
Lesson 6: Survey the Class, Survey the School Lesson 7: Graph and Answer
1. Interpret bar graphs: multi-digit numbers 2. Create bar graphs: multi-digit numbers Also consider: • Interpret picture graphs: multiples of 10 • Interpret tally charts • Interpret data in tables
Section C - Multiplication and Division Games
Lesson 8: Multiplication Center Day		1. Multiplication facts to 12 2. Multiplication facts for 6, 7, 8, and 9: sorting Also consider: • Multiplication facts up to 12: true or false?
Lesson 8: Multiplication Center Day
1. Multiplication facts to 12 2. Multiplication facts for 6, 7, 8, and 9: sorting Also consider: • Multiplication facts up to 12: true or false?

Lesson 9: Multiplication Game Day		1. Multiplication facts up to 12: select the missing factors 2. Multiplication sentences up to 12: true or false? Also consider: • Inequalities with multiplication • Multiplication facts up to 12: find the missing factor • Multiply one-digit numbers by two-digit numbers
Lesson 9: Multiplication Game Day
1. Multiplication facts up to 12: select the missing factors 2. Multiplication sentences up to 12: true or false? Also consider: • Inequalities with multiplication • Multiplication facts up to 12: find the missing factor • Multiply one-digit numbers by two-digit numbers

Lesson 10: Multiplication and Division		1. Division facts for 6, 7, 8, and 9 2. Division facts for 6, 7, 8, and 9: sorting Also consider: • Multiplication and division facts up to 10: true or false? • Division facts for 6, 7, 8, and 9: true or false?
Lesson 10: Multiplication and Division
1. Division facts for 6, 7, 8, and 9 2. Division facts for 6, 7, 8, and 9: sorting Also consider: • Multiplication and division facts up to 10: true or false? • Division facts for 6, 7, 8, and 9: true or false?

Lesson 11: Division Game Day		1. Division facts up to 10: true or false? 2. Division facts up to 10: find the missing number 3. Division facts up to 10: select the missing numbers 4. Division sentences up to 10: true or false?
Lesson 11: Division Game Day
1. Division facts up to 10: true or false? 2. Division facts up to 10: find the missing number 3. Division facts up to 10: select the missing numbers 4. Division sentences up to 10: true or false?
Section D - Create and Design
Lesson 12: Notice and Wonder		1. Write multiplication and division sentences for equal groups
Lesson 12: Notice and Wonder
1. Write multiplication and division sentences for equal groups

Lesson 13: How Many Do You See?		1. Write multiplication and division sentences for arrays
Lesson 13: How Many Do You See?
1. Write multiplication and division sentences for arrays

Lesson 14: Estimation Exploration		1. Measure using an inch ruler: nearest ¼ inch
Lesson 14: Estimation Exploration
1. Measure using an inch ruler: nearest ¼ inch

Lesson 15: Number Talk		1. Add and subtract three-digit numbers Also consider: • Balance addition and subtraction equations: up to three digits • Complete the addition or subtraction sentence • Addition up to three digits: fill in the missing digits
Lesson 15: Number Talk
1. Add and subtract three-digit numbers Also consider: • Balance addition and subtraction equations: up to three digits • Complete the addition or subtraction sentence • Addition up to three digits: fill in the missing digits

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