IXL skill plan | Grade 4 plan for IM® K-12 Math

Skill plan for IM^® K-12 Math - Grade 4

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 Factors and Multiples
Section A - Understand Factors and Multiples
Lesson 1: Multiples of a Number		1. Create rectangles with a given area 2. Choose the multiples of a given number up to 10 Also consider: • Multiply to find the area of a rectangle made of unit squares • Make arrays to model multiplication
Lesson 1: Multiples of a Number
1. Create rectangles with a given area 2. Choose the multiples of a given number up to 10 Also consider: • Multiply to find the area of a rectangle made of unit squares • Make arrays to model multiplication

Lesson 2: Factor Pairs		1. Find all the factor pairs of a number 2. Choose factors of a given number
Lesson 2: Factor Pairs
1. Find all the factor pairs of a number 2. Choose factors of a given number

Lesson 3: Prime and Composite Numbers		1. Prime and composite: up to 100 2. Which number is prime or composite? Also consider: • Choose numbers with a particular product
Lesson 3: Prime and Composite Numbers
1. Prime and composite: up to 100 2. Which number is prime or composite? Also consider: • Choose numbers with a particular product

Lesson 4: Multiplication Practice		1. Multiplication facts to 10 Also consider: • Multiplication facts to 10: find the missing factor
Lesson 4: Multiplication Practice
1. Multiplication facts to 10 Also consider: • Multiplication facts to 10: find the missing factor
Section B - Find Factor Pairs and Multiples
Lesson 5: More Multiples Lesson 6: The Locker Problem		1. Division facts to 10: word problems
Lesson 5: More Multiples Lesson 6: The Locker Problem
1. Division facts to 10: word problems

Lesson 7: Find Factors and Multiples Lesson 8: Mondrian's Art		1. Identify factors 2. Sort multiples into a Venn diagram
Lesson 7: Find Factors and Multiples Lesson 8: Mondrian's Art
1. Identify factors 2. Sort multiples into a Venn diagram

2	Unit 2 Fraction Equivalence and Comparison
Section A - Size and Location of Fractions
Lesson 1: Representations of Fractions (Part 1)
Lesson 1: Representations of Fractions (Part 1)


Lesson 2: Representations of Fractions (Part 2)		1. Fractions review
Lesson 2: Representations of Fractions (Part 2)
1. Fractions review

Lesson 3: Same Denominator or Numerator		1. Compare fractions with like numerators or denominators using models
Lesson 3: Same Denominator or Numerator
1. Compare fractions with like numerators or denominators using models

Lesson 4: Same Size, Related Sizes		1. Graph fractions on number lines Also consider: • Find smaller or larger fractions • Graph and compare fractions with like numerators or denominators on number lines
Lesson 4: Same Size, Related Sizes
1. Graph fractions on number lines Also consider: • Find smaller or larger fractions • Graph and compare fractions with like numerators or denominators on number lines

Lesson 5: Fractions on Number Lines		1. Find equivalent fractions using number lines 2. Graph equivalent fractions on number lines
Lesson 5: Fractions on Number Lines
1. Find equivalent fractions using number lines 2. Graph equivalent fractions on number lines

Lesson 6: Relate Fractions to Benchmarks		1. Benchmark fractions
Lesson 6: Relate Fractions to Benchmarks
1. Benchmark fractions
Section B - Equivalent Fractions
Lesson 7: Equivalent Fractions		1. Find equivalent fractions using area models: one model 2. Equivalent fractions: find the missing numerator or denominator Also consider: • Find equivalent fractions using area models
Lesson 7: Equivalent Fractions
1. Find equivalent fractions using area models: one model 2. Equivalent fractions: find the missing numerator or denominator Also consider: • Find equivalent fractions using area models

Lesson 8: Equivalent Fractions on the Number Line		1. Identify the equivalent fraction
Lesson 8: Equivalent Fractions on the Number Line
1. Identify the equivalent fraction

Lesson 9: Explain Equivalence		1. Fractions with denominators of 10 and 100 Also consider: • Identify an equivalent fraction: denominators to 12
Lesson 9: Explain Equivalence
1. Fractions with denominators of 10 and 100 Also consider: • Identify an equivalent fraction: denominators to 12

Lesson 10: Use Multiples to Find Equivalent Fractions		1. Patterns of equivalent fractions
Lesson 10: Use Multiples to Find Equivalent Fractions
1. Patterns of equivalent fractions

Lesson 11: Use Factors to Find Equivalent Fractions		1. Select all of the equivalent fractions Also consider: • Find equivalent fractions using multiplication and division
Lesson 11: Use Factors to Find Equivalent Fractions
1. Select all of the equivalent fractions Also consider: • Find equivalent fractions using multiplication and division
Section C - Fraction Comparison
Lesson 12: Ways to Compare Fractions		1. Compare fractions with like numerators or denominators 2. Compare fractions: given a benchmark Also consider: • Compare fractions with like denominators
Lesson 12: Ways to Compare Fractions
1. Compare fractions with like numerators or denominators 2. Compare fractions: given a benchmark Also consider: • Compare fractions with like denominators

Lesson 13: Use Equivalent Fractions to Compare		1. Compare fractions using equivalent fractions
Lesson 13: Use Equivalent Fractions to Compare
1. Compare fractions using equivalent fractions

Lesson 14: Fraction Comparison Problem		1. Compare fractions: identify the benchmark
Lesson 14: Fraction Comparison Problem
1. Compare fractions: identify the benchmark

Lesson 15: Common Denominators to Compare		1. Compare fractions Also consider: • Compare fractions: find the missing numerator or denominator
Lesson 15: Common Denominators to Compare
1. Compare fractions Also consider: • Compare fractions: find the missing numerator or denominator

Lesson 16: Compare and Order Fractions		1. Order fractions Also consider: • Order fractions with like numerators or denominators
Lesson 16: Compare and Order Fractions
1. Order fractions Also consider: • Order fractions with like numerators or denominators

Lesson 17: Paper Clip Games		1. Graph and order fractions on number lines
Lesson 17: Paper Clip Games
1. Graph and order fractions on number lines

3	Unit 3 Extending Operations to Fractions
Section A - Equal Groups of Fractions
Lesson 1: Equal Groups of Unit Fractions Lesson 2: Representations of Equal Groups of Fractions		1. Multiply unit fractions by whole numbers using models Also consider: • Multiply unit fractions by whole numbers: word problems • Multiply unit fractions by whole numbers using number lines
Lesson 1: Equal Groups of Unit Fractions Lesson 2: Representations of Equal Groups of Fractions
1. Multiply unit fractions by whole numbers using models Also consider: • Multiply unit fractions by whole numbers: word problems • Multiply unit fractions by whole numbers using number lines

Lesson 3: Patterns in Multiplication		1. Multiples of unit fractions: find the missing numbers 2. Multiply unit fractions by whole numbers Also consider: • Multiply unit fractions by whole numbers: sorting
Lesson 3: Patterns in Multiplication
1. Multiples of unit fractions: find the missing numbers 2. Multiply unit fractions by whole numbers Also consider: • Multiply unit fractions by whole numbers: sorting

Lesson 4: Equal Groups of Non-Unit Fractions		1. Multiply fractions by whole numbers using models 2. Multiply fractions by whole numbers Also consider: • Multiply fractions by whole numbers using number lines
Lesson 4: Equal Groups of Non-Unit Fractions
1. Multiply fractions by whole numbers using models 2. Multiply fractions by whole numbers Also consider: • Multiply fractions by whole numbers using number lines

Lesson 5: Equivalent Multiplication Expressions		1. Multiply fractions by whole numbers using models: complete the equation 2. Multiples of fractions: find the missing numbers Also consider: • Multiply fractions by whole numbers: sorting
Lesson 5: Equivalent Multiplication Expressions
1. Multiply fractions by whole numbers using models: complete the equation 2. Multiples of fractions: find the missing numbers Also consider: • Multiply fractions by whole numbers: sorting

Lesson 6: Problems with Equal Groups of Fractions		1. Multiply fractions by whole numbers in recipes Also consider: • Multiply fractions by whole numbers: word problems
Lesson 6: Problems with Equal Groups of Fractions
1. Multiply fractions by whole numbers in recipes Also consider: • Multiply fractions by whole numbers: word problems
Section B - Addition and Subtraction of Fractions
Lesson 7: Fractions as Sums		1. Decompose fractions into unit fractions 2. Decompose fractions multiple ways Also consider: • Decompose fractions into unit fractions using models • Find fractions equivalent to whole numbers
Lesson 7: Fractions as Sums
1. Decompose fractions into unit fractions 2. Decompose fractions multiple ways Also consider: • Decompose fractions into unit fractions using models • Find fractions equivalent to whole numbers

Lesson 8: Addition of Fractions		1. Add fractions with like denominators using number lines 2. Add mixed numbers with like denominators Also consider: • Add fractions with like denominators using strip models • Convert between improper fractions and mixed numbers
Lesson 8: Addition of Fractions
1. Add fractions with like denominators using number lines 2. Add mixed numbers with like denominators Also consider: • Add fractions with like denominators using strip models • Convert between improper fractions and mixed numbers

Lesson 9: Differences of Fractions		1. Subtract fractions using number lines 2. Subtract mixed numbers without regrouping Also consider: • Subtract fractions with like denominators using strip models • Break apart fractions and mixed numbers to add or subtract
Lesson 9: Differences of Fractions
1. Subtract fractions using number lines 2. Subtract mixed numbers without regrouping Also consider: • Subtract fractions with like denominators using strip models • Break apart fractions and mixed numbers to add or subtract

Lesson 10: The Numbers in Subtraction		1. Subtract fractions from whole numbers Also consider: • Add and subtract fractions with like denominators in recipes
Lesson 10: The Numbers in Subtraction
1. Subtract fractions from whole numbers Also consider: • Add and subtract fractions with like denominators in recipes

Lesson 11: Subtract Fractions Flexibly		1. Subtract mixed numbers with like denominators Also consider: • Subtract fractions with like denominators
Lesson 11: Subtract Fractions Flexibly
1. Subtract mixed numbers with like denominators Also consider: • Subtract fractions with like denominators

Lesson 12: Sums and Differences of Fractions		1. Add and subtract mixed numbers with like denominators 2. Add and subtract mixed numbers with like denominators: word problems Also consider: • Add and subtract fractions with like denominators • Add and subtract fractions with like denominators: word problems
Lesson 12: Sums and Differences of Fractions
1. Add and subtract mixed numbers with like denominators 2. Add and subtract mixed numbers with like denominators: word problems Also consider: • Add and subtract fractions with like denominators • Add and subtract fractions with like denominators: word problems

Lesson 13: Fractional Measurements on Line Plots		1. Measure using an inch ruler 2. Create and interpret line plots with fractions I
Lesson 13: Fractional Measurements on Line Plots
1. Measure using an inch ruler 2. Create and interpret line plots with fractions I

Lesson 14: Problems About Fractional Measurement Data		1. Create and interpret line plots with fractions II
Lesson 14: Problems About Fractional Measurement Data
1. Create and interpret line plots with fractions II
Section C - Addition of Tenths and Hundredths
Lesson 15: An Assortment of Fractions		1. Add fractions with unlike denominators using models 2. Subtract fractions with unlike denominators using models Also consider: • Add fractions with unlike denominators • Subtract fractions with unlike denominators • Add and subtract mixed numbers with unlike denominators
Lesson 15: An Assortment of Fractions
1. Add fractions with unlike denominators using models 2. Subtract fractions with unlike denominators using models Also consider: • Add fractions with unlike denominators • Subtract fractions with unlike denominators • Add and subtract mixed numbers with unlike denominators

Lesson 16: Tenths and Hundredths, Together		1. Fractions and mixed numbers with denominators of 10 and 100 2. Add tenths and hundredths: sums less than 1
Lesson 16: Tenths and Hundredths, Together
1. Fractions and mixed numbers with denominators of 10 and 100 2. Add tenths and hundredths: sums less than 1

Lesson 17: Sums of Tenths and Hundredths		1. Add fractions: denominators 10 and 100
Lesson 17: Sums of Tenths and Hundredths
1. Add fractions: denominators 10 and 100

Lesson 18: Lots of Fractions to Add		1. Identify fraction expressions with a particular sum: denominators of 10 and 100 2. Add up to 4 fractions with denominators of 10 and 100
Lesson 18: Lots of Fractions to Add
1. Identify fraction expressions with a particular sum: denominators of 10 and 100 2. Add up to 4 fractions with denominators of 10 and 100

Lesson 19: Flexible with Fractions Lesson 20: Sticky Notes		1. Add, subtract, and multiply fractions: word problems
Lesson 19: Flexible with Fractions Lesson 20: Sticky Notes
1. Add, subtract, and multiply fractions: word problems

4	Unit 4 From Hundredths to Hundred-Thousands
Section A - Decimals with Tenths and Hundredths
Lesson 1: Decimal Numbers		1. What decimal number is illustrated? 2. Model decimals and fractions 3. Understanding decimals expressed in words
Lesson 1: Decimal Numbers
1. What decimal number is illustrated? 2. Model decimals and fractions 3. Understanding decimals expressed in words

Lesson 2: Equivalent Decimals		1. Equivalent decimals using tenths and hundredths 2. Convert between fractions, mixed numbers, and decimals: tenths and hundredths Also consider: • Place value models for decimal numbers
Lesson 2: Equivalent Decimals
1. Equivalent decimals using tenths and hundredths 2. Convert between fractions, mixed numbers, and decimals: tenths and hundredths Also consider: • Place value models for decimal numbers

Lesson 3: Decimals on Number Lines		1. Compare decimals on number lines 2. Graph decimals on number lines Also consider: • Decimal number lines
Lesson 3: Decimals on Number Lines
1. Compare decimals on number lines 2. Graph decimals on number lines Also consider: • Decimal number lines

Lesson 4: Compare and Order Decimals		1. Put decimal numbers in order I 2. Put decimal numbers in order II Also consider: • Compare decimals using models • Compare decimal numbers
Lesson 4: Compare and Order Decimals
1. Put decimal numbers in order I 2. Put decimal numbers in order II Also consider: • Compare decimals using models • Compare decimal numbers

Lesson 5: Compare and Order Decimals and Fractions		1. Compare decimals and fractions on number lines 2. Compare decimals and fractions Also consider: • Graph fractions as decimals on number lines
Lesson 5: Compare and Order Decimals and Fractions
1. Compare decimals and fractions on number lines 2. Compare decimals and fractions Also consider: • Graph fractions as decimals on number lines
Section B - Place-Value Relationships Through 1,000,000
Lesson 6: How much Is 10,000?		1. Place value models 2. Convert between place value: up to thousands
Lesson 6: How much Is 10,000?
1. Place value models 2. Convert between place value: up to thousands

Lesson 7: Numbers within 100,000		1. Identify place value names to hundred thousands 2. Writing numbers up to 100,000 in words: convert words to digits 3. Writing numbers up to 100,000 in words: convert digits to words
Lesson 7: Numbers within 100,000
1. Identify place value names to hundred thousands 2. Writing numbers up to 100,000 in words: convert words to digits 3. Writing numbers up to 100,000 in words: convert digits to words

Lesson 8: Beyond 100,000		1. Convert between standard and expanded form
Lesson 8: Beyond 100,000
1. Convert between standard and expanded form

Lesson 9: Same Digit, Different Value		1. Value of a digit 2. Writing numbers up to one million: convert between words and digits 3. Writing numbers up to one million in words: convert digits to words Also consider: • Spell word names for numbers up to one million
Lesson 9: Same Digit, Different Value
1. Value of a digit 2. Writing numbers up to one million: convert between words and digits 3. Writing numbers up to one million in words: convert digits to words Also consider: • Spell word names for numbers up to one million

Lesson 10: Ten Times as Much		1. Relationship between place values Also consider: • Convert between place values
Lesson 10: Ten Times as Much
1. Relationship between place values Also consider: • Convert between place values

Lesson 11: Large Numbers on a Number Line
Lesson 11: Large Numbers on a Number Line

Section C - Compare, Order, and Round
Lesson 12: Compare Multi-Digit Numbers		1. Compare numbers up to one million 2. Make the largest or smallest number possible Also consider: • Missing digits in inequalities
Lesson 12: Compare Multi-Digit Numbers
1. Compare numbers up to one million 2. Make the largest or smallest number possible Also consider: • Missing digits in inequalities

Lesson 13: Order Multi-Digit Numbers		1. Order numbers up to one million
Lesson 13: Order Multi-Digit Numbers
1. Order numbers up to one million

Lesson 14: Multiples of 10,000 and 100,000 Lesson 15: The Nearest Multiples of 1,000, 10,000, and 100,000		1. Round using a number line
Lesson 14: Multiples of 10,000 and 100,000 Lesson 15: The Nearest Multiples of 1,000, 10,000, and 100,000
1. Round using a number line

Lesson 16: Round Numbers		1. Rounding: up to hundred thousands place 2. Rounding input/output tables 3. Round a number to any place: up to hundred thousands
Lesson 16: Round Numbers
1. Rounding: up to hundred thousands place 2. Rounding input/output tables 3. Round a number to any place: up to hundred thousands

Lesson 17: Apply Rounding		1. Estimate sums: word problems 2. Estimate differences: word problems
Lesson 17: Apply Rounding
1. Estimate sums: word problems 2. Estimate differences: word problems
Section D - Add and Subtract
Lesson 18: Standard Algorithm to Add and Subtract		1. Add two numbers up to five digits 2. Subtract two numbers up to six digits without regrouping Also consider: • Addition: fill in the missing digits
Lesson 18: Standard Algorithm to Add and Subtract
1. Add two numbers up to five digits 2. Subtract two numbers up to six digits without regrouping Also consider: • Addition: fill in the missing digits

Lesson 19: Compose and Decompose to Add and Subtract		1. Add two multi-digit numbers 2. Subtract two numbers up to four digits Also consider: • Subtraction: fill in the missing digits
Lesson 19: Compose and Decompose to Add and Subtract
1. Add two multi-digit numbers 2. Subtract two numbers up to four digits Also consider: • Subtraction: fill in the missing digits

Lesson 20: Add and Subtract within 1,000,000		1. Add and subtract numbers up to six digits Also consider: • Add and subtract numbers up to five digits
Lesson 20: Add and Subtract within 1,000,000
1. Add and subtract numbers up to six digits Also consider: • Add and subtract numbers up to five digits

Lesson 21: Zeros in the Standard Algorithm		1. Subtract across zeros
Lesson 21: Zeros in the Standard Algorithm
1. Subtract across zeros

Lesson 22: Solve Problems Involving Large Numbers		1. Add two multi-digit numbers: word problems 2. Subtract two multi-digit numbers: word problems Also consider: • Use equations to solve addition and subtraction word problems
Lesson 22: Solve Problems Involving Large Numbers
1. Add two multi-digit numbers: word problems 2. Subtract two multi-digit numbers: word problems Also consider: • Use equations to solve addition and subtraction word problems

Lesson 23: Bees Are Buzzing		1. Addition and subtraction word problems Also consider: • Multi-step addition and subtraction word problems
Lesson 23: Bees Are Buzzing
1. Addition and subtraction word problems Also consider: • Multi-step addition and subtraction word problems

5	Unit 5 Multiplicative Comparison and Measurement
Section A - Multiplicative Comparison
Lesson 1: Times as Many Lesson 2: Interpret Representations of Multiplicative Comparison		1. Compare numbers using multiplication Also consider: • Multiply by 2, 4, and 8
Lesson 1: Times as Many Lesson 2: Interpret Representations of Multiplicative Comparison
1. Compare numbers using multiplication Also consider: • Multiply by 2, 4, and 8

Lesson 3: Solve Multiplicative Comparison Problems Lesson 4: Solve Multiplicative Comparison Problems with Large Numbers Lesson 5: One- and Two-Step Comparison Problems		1. Comparison word problems with multiplication and division: larger numbers 2. Divide larger numbers by 1-digit numbers: comparison word problems 3. Compare numbers using multiplication: word problems Also consider: • Comparison word problems: addition or multiplication? • Compare numbers using multiplication or addition: word problems
Lesson 3: Solve Multiplicative Comparison Problems Lesson 4: Solve Multiplicative Comparison Problems with Large Numbers Lesson 5: One- and Two-Step Comparison Problems
1. Comparison word problems with multiplication and division: larger numbers 2. Divide larger numbers by 1-digit numbers: comparison word problems 3. Compare numbers using multiplication: word problems Also consider: • Comparison word problems: addition or multiplication? • Compare numbers using multiplication or addition: word problems

Lesson 6: Ten Times as Many		1. Multiply by 10 or 100 Also consider: • Multiply a 1-digit number by 10 or 100
Lesson 6: Ten Times as Many
1. Multiply by 10 or 100 Also consider: • Multiply a 1-digit number by 10 or 100
Section B - Measurement Conversion
Lesson 7: Meters and Centimeters Lesson 8: Meters and Kilometers		1. Which metric unit of length is appropriate? 2. Compare and convert metric units of length Also consider: • Conversion tables: metric units of length
Lesson 7: Meters and Centimeters Lesson 8: Meters and Kilometers
1. Which metric unit of length is appropriate? 2. Compare and convert metric units of length Also consider: • Conversion tables: metric units of length

Lesson 9: Grams and Kilograms, Liters and Milliliters		1. Which metric unit of mass is appropriate? 2. Which metric unit of volume is appropriate? 3. Compare and convert metric units of mass and volume Also consider: • Convert and compare metric units • Convert mixed metric units • Conversion tables - metric units
Lesson 9: Grams and Kilograms, Liters and Milliliters
1. Which metric unit of mass is appropriate? 2. Which metric unit of volume is appropriate? 3. Compare and convert metric units of mass and volume Also consider: • Convert and compare metric units • Convert mixed metric units • Conversion tables - metric units

Lesson 10: Multi-Step Measurement Problems		1. Measurement word problems: metric units
Lesson 10: Multi-Step Measurement Problems
1. Measurement word problems: metric units

Lesson 11: Pounds and Ounces		1. Which customary unit of weight is appropriate? 2. Compare and convert pounds to ounces
Lesson 11: Pounds and Ounces
1. Which customary unit of weight is appropriate? 2. Compare and convert pounds to ounces

Lesson 12: Hours, Minutes, and Seconds		1. Fractions of time units
Lesson 12: Hours, Minutes, and Seconds
1. Fractions of time units

Lesson 13: Multi-Step Measurement Problems with Fractions		1. Compare time units 2. Measurement word problems with fractions Also consider: • Elapsed time: word problems • Multi-step measurement word problems
Lesson 13: Multi-Step Measurement Problems with Fractions
1. Compare time units 2. Measurement word problems with fractions Also consider: • Elapsed time: word problems • Multi-step measurement word problems
Section C - Let's Put It to Work
Lesson 14: Weight and Capacity Measurements		1. Compare and convert customary units of volume: cups, quarts, gallons
Lesson 14: Weight and Capacity Measurements
1. Compare and convert customary units of volume: cups, quarts, gallons

Lesson 15: Length Measurements		1. Convert mixed customary units of length Also consider: • Compare and convert customary units of length • Measurement word problems: customary units
Lesson 15: Length Measurements
1. Convert mixed customary units of length Also consider: • Compare and convert customary units of length • Measurement word problems: customary units

Lesson 16: Compare Perimeters of Rectangles		1. Perimeter: review
Lesson 16: Compare Perimeters of Rectangles
1. Perimeter: review

Lesson 17: More Perimeter Problems		1. Perimeter of polygons 2. Perimeter: word problems
Lesson 17: More Perimeter Problems
1. Perimeter of polygons 2. Perimeter: word problems

Lesson 18: Two Truths and a Lie		1. Understanding measurement units
Lesson 18: Two Truths and a Lie
1. Understanding measurement units

6	Unit 6 Multiplying and Dividing Multi-Digit Numbers
Section A - Features of Patterns
Lesson 1: Patterns That Grow		1. Extend growing shape patterns Also consider: • Identify expressions for arrays • Find the next row in a growing pattern of shapes
Lesson 1: Patterns That Grow
1. Extend growing shape patterns Also consider: • Identify expressions for arrays • Find the next row in a growing pattern of shapes

Lesson 2: Patterns That Repeat		1. Find the next shape in a pattern 2. Complete a repeating pattern 3. Make a repeating pattern
Lesson 2: Patterns That Repeat
1. Find the next shape in a pattern 2. Complete a repeating pattern 3. Make a repeating pattern

Lesson 3: From Visual Patterns to Numerical Patterns		1. Write multiplication sentences for arrays
Lesson 3: From Visual Patterns to Numerical Patterns
1. Write multiplication sentences for arrays

Lesson 4: Numerical Patterns		1. Addition patterns: find the missing number Also consider: • Use a rule to complete a number pattern • Complete a multiplication number pattern
Lesson 4: Numerical Patterns
1. Addition patterns: find the missing number Also consider: • Use a rule to complete a number pattern • Complete a multiplication number pattern
Section B - Multi-Digit Multiplication
Lesson 5: Products Beyond 100		1. Multiply 1-digit numbers by teen numbers using grids Also consider: • Multiply 1-digit numbers by 2-digit numbers using partial products
Lesson 5: Products Beyond 100
1. Multiply 1-digit numbers by teen numbers using grids Also consider: • Multiply 1-digit numbers by 2-digit numbers using partial products

Lesson 6: Multiply Two-Digit Numbers and One-Digit Numbers		1. Multiply 1-digit numbers by 2-digit numbers: choose the area model 2. Multiply 1-digit numbers by 2-digit numbers using area models Also consider: • Multiply 1-digit numbers by teen numbers • Multiply 1-digit numbers by 2-digit numbers • Multiply 1-digit numbers by 2-digit numbers: word problems
Lesson 6: Multiply Two-Digit Numbers and One-Digit Numbers
1. Multiply 1-digit numbers by 2-digit numbers: choose the area model 2. Multiply 1-digit numbers by 2-digit numbers using area models Also consider: • Multiply 1-digit numbers by teen numbers • Multiply 1-digit numbers by 2-digit numbers • Multiply 1-digit numbers by 2-digit numbers: word problems

Lesson 7: Multiply Three- and Four-Digit Numbers by One-Digit Numbers		1. Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models
Lesson 7: Multiply Three- and Four-Digit Numbers by One-Digit Numbers
1. Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models

Lesson 8: Multiply 2 Two-Digit Numbers		1. Multiply 2-digit numbers by 2-digit numbers: choose the area model 2. Multiply 2-digit numbers by 2-digit numbers using area models
Lesson 8: Multiply 2 Two-Digit Numbers
1. Multiply 2-digit numbers by 2-digit numbers: choose the area model 2. Multiply 2-digit numbers by 2-digit numbers using area models

Lesson 9: Recording Partial Products: One-Digit and Three- or Four-Digit Factors		1. Multiply 1-digit numbers by multi-digit numbers using partial products Also consider: • Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form
Lesson 9: Recording Partial Products: One-Digit and Three- or Four-Digit Factors
1. Multiply 1-digit numbers by multi-digit numbers using partial products Also consider: • Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form

Lesson 10: Using Algorithms with Partial Products: 2 Two-Digit Numbers		1. Multiply 2-digit numbers by 2-digit numbers using partial products 2. Multiply a 2-digit number by a 2-digit number
Lesson 10: Using Algorithms with Partial Products: 2 Two-Digit Numbers
1. Multiply 2-digit numbers by 2-digit numbers using partial products 2. Multiply a 2-digit number by a 2-digit number

Lesson 11: Partial Products and the Standard Algorithm		1. Multiply 1-digit numbers by 3-digit or 4-digit numbers Also consider: • Multiply a 2-digit number by a 2-digit number: complete the missing steps
Lesson 11: Partial Products and the Standard Algorithm
1. Multiply 1-digit numbers by 3-digit or 4-digit numbers Also consider: • Multiply a 2-digit number by a 2-digit number: complete the missing steps

Lesson 12: Solve Problems Involving Multiplication		1. Multiplication word problems 2. Estimate products: multiply by 1-digit numbers Also consider: • Convert units of time
Lesson 12: Solve Problems Involving Multiplication
1. Multiplication word problems 2. Estimate products: multiply by 1-digit numbers Also consider: • Convert units of time
Section C - Multi-Digit Division
Lesson 13: Situations Involving Equal-Size Groups		1. Divide using the distributive property 2. Divide 2-digit numbers by 1-digit numbers: without remainders Also consider: • Divisibility rules: word problems • Divide 2-digit numbers by 1-digit numbers using area models • Divide 2-digit numbers by 1-digit numbers: complete the table
Lesson 13: Situations Involving Equal-Size Groups
1. Divide using the distributive property 2. Divide 2-digit numbers by 1-digit numbers: without remainders Also consider: • Divisibility rules: word problems • Divide 2-digit numbers by 1-digit numbers using area models • Divide 2-digit numbers by 1-digit numbers: complete the table

Lesson 14: Situations Involving Factors and Multiples		1. Choose the multiples of a given number up to 12 Also consider: • Properties of division
Lesson 14: Situations Involving Factors and Multiples
1. Choose the multiples of a given number up to 12 Also consider: • Properties of division

Lesson 15: Situations Involving Area		1. Area: find the missing side length Also consider: • Area: word problems • Create figures with a given area
Lesson 15: Situations Involving Area
1. Area: find the missing side length Also consider: • Area: word problems • Create figures with a given area

Lesson 16: Base-Ten Blocks to Divide Lesson 17: Base-Ten Diagrams to Represent Division		1. Divide 3-digit numbers by 1-digit numbers using area models 2. Divide 3-digit numbers by 1-digit numbers: without remainders Also consider: • Division patterns over increasing place values
Lesson 16: Base-Ten Blocks to Divide Lesson 17: Base-Ten Diagrams to Represent Division
1. Divide 3-digit numbers by 1-digit numbers using area models 2. Divide 3-digit numbers by 1-digit numbers: without remainders Also consider: • Division patterns over increasing place values

Lesson 18: Divide with Partial Quotients		1. Divide using partial quotients
Lesson 18: Divide with Partial Quotients
1. Divide using partial quotients

Lesson 19: Division with and without Remainders		1. Divide larger numbers by 1-digit numbers 2. Divide using partial quotients with remainders Also consider: • Estimate quotients using compatible numbers: 1-digit divisors
Lesson 19: Division with and without Remainders
1. Divide larger numbers by 1-digit numbers 2. Divide using partial quotients with remainders Also consider: • Estimate quotients using compatible numbers: 1-digit divisors

Lesson 20: Interpret Remainders in Division Situations		1. Divide larger numbers by 1-digit numbers: interpret remainders
Lesson 20: Interpret Remainders in Division Situations
1. Divide larger numbers by 1-digit numbers: interpret remainders
Section D - Let's Put It to Work: Problem Solving with Large Numbers
Lesson 21: Different Ways to Solve Problems		1. Multiply a 2-digit number by a 2-digit number: multi-step word problems 2. Use equations to solve multi-step division word problems
Lesson 21: Different Ways to Solve Problems
1. Multiply a 2-digit number by a 2-digit number: multi-step word problems 2. Use equations to solve multi-step division word problems

Lesson 22: Problems About Perimeter and Area		1. Area of complex figures 2. Perimeter of rectilinear shapes 3. Area and perimeter of complex figures: word problems Also consider: • Rectangles: relationship between perimeter and area word problems
Lesson 22: Problems About Perimeter and Area
1. Area of complex figures 2. Perimeter of rectilinear shapes 3. Area and perimeter of complex figures: word problems Also consider: • Rectangles: relationship between perimeter and area word problems

Lesson 23: Solve Problems with Many Operations		1. Multi-step word problems
Lesson 23: Solve Problems with Many Operations
1. Multi-step word problems

Lesson 24: Assess the Reasonableness of Solutions		1. Estimate sums and differences: word problems Also consider: • Estimate sums, differences, products, and quotients: word problems
Lesson 24: Assess the Reasonableness of Solutions
1. Estimate sums and differences: word problems Also consider: • Estimate sums, differences, products, and quotients: word problems

Lesson 25: Paper Flower Decorations		1. Number patterns: word problems Also consider: • Use strip diagrams to represent and solve multi-step word problems
Lesson 25: Paper Flower Decorations
1. Number patterns: word problems Also consider: • Use strip diagrams to represent and solve multi-step word problems

7	Unit 7 Angles and Angle Measurement
Section A - Points, Lines, Segments, Rays, and Angles
Lesson 1: How Would You Describe These Figures? Lesson 2: Points, Lines, Rays, and Segments		1. Identify points, lines, segments, and rays
Lesson 1: How Would You Describe These Figures? Lesson 2: Points, Lines, Rays, and Segments
1. Identify points, lines, segments, and rays

Lesson 3: Two or More Lines		1. Parallel and intersecting lines
Lesson 3: Two or More Lines
1. Parallel and intersecting lines

Lesson 4: Points and Lines All Around		1. Parallel sides in quadrilaterals 2. Draw quadrilaterals
Lesson 4: Points and Lines All Around
1. Parallel sides in quadrilaterals 2. Draw quadrilaterals

Lesson 5: What Is an Angle?
Lesson 5: What Is an Angle?

Section B - The Size of Angles
Lesson 6: Compare and Describe Angles Lesson 7: The Size of Angles on a Clock		1. Angles as fractions of a circle 2. Angles greater than, less than, or equal to a right angle
Lesson 6: Compare and Describe Angles Lesson 7: The Size of Angles on a Clock
1. Angles as fractions of a circle 2. Angles greater than, less than, or equal to a right angle

Lesson 8: The Size of Angles in Degrees		1. Angles of 90, 180, 270, and 360 degrees 2. Use fractions to find the measure of an angle
Lesson 8: The Size of Angles in Degrees
1. Angles of 90, 180, 270, and 360 degrees 2. Use fractions to find the measure of an angle

Lesson 9: Use a Protractor to Measure Angles		1. Measure angles with a protractor
Lesson 9: Use a Protractor to Measure Angles
1. Measure angles with a protractor

Lesson 10: Angle Measurement and Perpendicular Lines		1. Identify perpendicular lines
Lesson 10: Angle Measurement and Perpendicular Lines
1. Identify perpendicular lines

Lesson 11: Use a Protractor to Draw Angles		1. Draw angles with a protractor Also consider: • Estimate angle measurements
Lesson 11: Use a Protractor to Draw Angles
1. Draw angles with a protractor Also consider: • Estimate angle measurements
Section C - Angle Analysis
Lesson 12: Types of Angles		1. Acute, right, obtuse, and straight angles
Lesson 12: Types of Angles
1. Acute, right, obtuse, and straight angles

Lesson 13: Find Angle Measurements		1. Adjacent angles
Lesson 13: Find Angle Measurements
1. Adjacent angles

Lesson 14: Reasoning About Angles (Part 1)		1. Measure angles on a circle
Lesson 14: Reasoning About Angles (Part 1)
1. Measure angles on a circle

Lesson 15: Reasoning About Angles (Part 2)		1. Complementary and supplementary angles: find the missing measure Also consider: • Angle measures: word problems
Lesson 15: Reasoning About Angles (Part 2)
1. Complementary and supplementary angles: find the missing measure Also consider: • Angle measures: word problems

Lesson 16: Guess the Figure		1. Identify parallel, perpendicular, and intersecting lines
Lesson 16: Guess the Figure
1. Identify parallel, perpendicular, and intersecting lines

8	Unit 8 Properties of Two-Dimensional Shapes
Section A - Side Lengths, Angles, and Lines of Symmetry
Lesson 1: Ways to Look at Figures		1. Which figure is being described?
Lesson 1: Ways to Look at Figures
1. Which figure is being described?

Lesson 2: Ways to Look at Triangles		1. Acute, obtuse, and right triangles Also consider: • Scalene, isosceles, and equilateral triangles • Classify triangles
Lesson 2: Ways to Look at Triangles
1. Acute, obtuse, and right triangles Also consider: • Scalene, isosceles, and equilateral triangles • Classify triangles

Lesson 3: Ways to Look at Quadrilaterals		1. Sides and angles of quadrilaterals 2. Classify quadrilaterals Also consider: • Pick all the names for a quadrilateral
Lesson 3: Ways to Look at Quadrilaterals
1. Sides and angles of quadrilaterals 2. Classify quadrilaterals Also consider: • Pick all the names for a quadrilateral

Lesson 4: Symmetry in Figures (Part 1)		1. Identify lines of symmetry 2. Count lines of symmetry
Lesson 4: Symmetry in Figures (Part 1)
1. Identify lines of symmetry 2. Count lines of symmetry

Lesson 5: Symmetry in Figures (Part 2) Lesson 6: All Kinds of Attributes		1. Line symmetry 2. Draw lines of symmetry
Lesson 5: Symmetry in Figures (Part 2) Lesson 6: All Kinds of Attributes
1. Line symmetry 2. Draw lines of symmetry
Section B - Reason About Attributes to Solve Problems
Lesson 7: Ways to Find Unknown Length (Part 1) Lesson 8: Ways to Find Unknown Length (Part 2)		1. Perimeter: find the missing side length
Lesson 7: Ways to Find Unknown Length (Part 1) Lesson 8: Ways to Find Unknown Length (Part 2)
1. Perimeter: find the missing side length

Lesson 9: Symmetry in Action
Lesson 9: Symmetry in Action


Lesson 10: Ways to Find Angle Measurements		1. Find measures of complementary, supplementary, and adjacent angles
Lesson 10: Ways to Find Angle Measurements
1. Find measures of complementary, supplementary, and adjacent angles

9	Unit 9 Putting It All Together
Section A - Reason with Fractions
Lesson 1: Add, Subtract, and Multiply Fractions		1. Decompose fractions 2. Add 3 or more fractions with like denominators
Lesson 1: Add, Subtract, and Multiply Fractions
1. Decompose fractions 2. Add 3 or more fractions with like denominators

Lesson 2: Sums and Differences of Fractions		1. Add and subtract fractions and mixed numbers with like denominators: word problems 2. Compare sums and differences of fractions with like denominators
Lesson 2: Sums and Differences of Fractions
1. Add and subtract fractions and mixed numbers with like denominators: word problems 2. Compare sums and differences of fractions with like denominators

Lesson 3: Stories with Fractions		1. Add and subtract fractions: denominators of 10 and 100
Lesson 3: Stories with Fractions
1. Add and subtract fractions: denominators of 10 and 100
Section B - Whole-Number Operations
Lesson 4: Another Look at the Standard Algorithm		1. Subtract across zeros: four-digit numbers
Lesson 4: Another Look at the Standard Algorithm
1. Subtract across zeros: four-digit numbers

Lesson 5: Multiplication of Multi-Digit Numbers		1. Multiply 1-digit numbers by 3-digit numbers 2. Multiply 2-digit by 2-digit or 1-digit by 4-digit numbers Also consider: • Multiply 1-digit numbers by larger numbers • Multiply a 2-digit number by a larger number: complete the missing steps
Lesson 5: Multiplication of Multi-Digit Numbers
1. Multiply 1-digit numbers by 3-digit numbers 2. Multiply 2-digit by 2-digit or 1-digit by 4-digit numbers Also consider: • Multiply 1-digit numbers by larger numbers • Multiply a 2-digit number by a larger number: complete the missing steps

Lesson 6: What's the Quotient?		1. Divide larger numbers by 1-digit numbers: complete the table Also consider: • Estimate quotients: word problems • Divide numbers ending in zeros by 1-digit numbers • Divide larger numbers by 1-digit numbers: word problems
Lesson 6: What's the Quotient?
1. Divide larger numbers by 1-digit numbers: complete the table Also consider: • Estimate quotients: word problems • Divide numbers ending in zeros by 1-digit numbers • Divide larger numbers by 1-digit numbers: word problems
Section C - Solve Problems with Multiplication and Division
Lesson 7: Solve Multiplicative Comparison Problems		1. Compare numbers using multiplication: review
Lesson 7: Solve Multiplicative Comparison Problems
1. Compare numbers using multiplication: review

Lesson 8: Solve Problems with Multiplication and Division		1. Multiplication and division word problems: review
Lesson 8: Solve Problems with Multiplication and Division
1. Multiplication and division word problems: review

Lesson 9: Create Word Problems		1. Multi-step word problems II 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems
Lesson 9: Create Word Problems
1. Multi-step word problems II 2. Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems
Section D - Creation and Design
Lesson 10: Estimation Exploration		1. Estimate products: word problems 2. Estimate products word problems: identify reasonable answers
Lesson 10: Estimation Exploration
1. Estimate products: word problems 2. Estimate products word problems: identify reasonable answers

Lesson 11: Which One Doesn't Belong?		1. What is true about the given pattern? 2. Identify mistakes in number patterns Also consider: • What is true about the pattern made by the rule?
Lesson 11: Which One Doesn't Belong?
1. What is true about the given pattern? 2. Identify mistakes in number patterns Also consider: • What is true about the pattern made by the rule?

Lesson 12: Number Talk		1. Add, subtract, multiply, and divide 2. Choose numbers with a particular sum, difference, product, or quotient Also consider: • Add and subtract numbers ending in zeros
Lesson 12: Number Talk
1. Add, subtract, multiply, and divide 2. Choose numbers with a particular sum, difference, product, or quotient Also consider: • Add and subtract numbers ending in zeros

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