Module 3: Multi-digit multiplication and division

Topic A: Multiplicative comparison word problems

Learn

Comparing with multiplication: magic
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Comparing with multiplication: money
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Area & perimeter word problem: table
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Area & perimeter word problem: dog pen
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Comparing areas word problem
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Practice

Compare with multiplication word problemsGet 3 of 4 questions to level up!
Area of squares and rectanglesGet 5 of 7 questions to level up!
Area & perimeter of rectangles word problemsGet 5 of 7 questions to level up!

Topic B: Multiplication by 10, 100, and 1,000

Learn

Multiplying 1-digit numbers by 10, 100, and 1000
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Multiplying 1-digit numbers by multiples of 10, 100, and 1000
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Multiplying 10s
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Practice

Multiply 1-digit numbers by 10, 100, and 1000Get 5 of 7 questions to level up!
Multiply 1-digit numbers by a multiple of 10, 100, and 1000Get 5 of 7 questions to level up!
Multiplying 10sGet 5 of 7 questions to level up!

Topic C: Multiplication of up to four digits by single-digit numbers

Learn

More ways to multiply
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Multiplying with distributive property
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Multiplying with area model: 6 x 7981
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Multiplying with area model: 78 x 65
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Multiplying with area model: 16 x 27
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Relate multiplication with area models to the standard algorithm
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Multiplying 2-digit by 1-digit
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Multiplying 3-digit by 1-digit
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Multiplying: 2-digit by 1-digit (regrouping)
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Multiplying 3-digit by 1-digit (regrouping)
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Multiplying 4-digit by 1-digit (regrouping)
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Practice

Multiply using place valueGet 3 of 4 questions to level up!
Multiply 2-digit numbers with area modelsGet 3 of 4 questions to level up!
Multiply without regroupingGet 5 of 7 questions to level up!
Multiply with regroupingGet 5 of 7 questions to level up!

Topic D: Multiplication word problems

Learn

2-step estimation problem: marbles
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Practice

Multi-step estimation word problemsGet 3 of 4 questions to level up!
Represent multi-step word problems using equationsGet 3 of 4 questions to level up!

Topic E: Division of tens and ones with successive remainders

Learn

Quotients that are multiples of 10
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Division using place value
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Division with area models
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Intro to remainders
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Understanding remainders
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Interpreting remainders
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Division word problem: field goals
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Multiplication word problem: pizza
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Practice

Quotients that are multiples of 10Get 5 of 7 questions to level up!
Divide using place valueGet 5 of 7 questions to level up!
Divide by 1-digit numbers (visual models)Get 3 of 4 questions to level up!
Divide with remainders (basic)Get 3 of 4 questions to level up!
Multiplication and division word problemsGet 5 of 7 questions to level up!
Multi-step word problems with whole numbersGet 3 of 4 questions to level up!

Topic F: Reasoning with divisibility

Learn

Finding factors of a number
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Finding factors and multiples
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Factors and multiples intro
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Factors and multiples review
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Prime numbers
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Recognizing prime and composite numbers
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Prime and composite numbers intro
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Prime and composite numbers review
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Factors and multiples: days of the week
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Math patterns: table
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Math patterns: toothpicks
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Practice

Factor pairsGet 5 of 7 questions to level up!
Identify factors and multiplesGet 5 of 7 questions to level up!
Identify prime numbersGet 5 of 7 questions to level up!
Identify composite numbersGet 5 of 7 questions to level up!
Math patterns 2Get 5 of 7 questions to level up!

Topic G: Division of thousands, hundreds, tens, and ones

Learn

Canceling zeros when dividing
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Worked example: Long division with remainders: 2292Ă·4
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Worked example: Long division with remainders: 3771Ă·8
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Long division: 280Ă·5
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Intro to long division (no remainders)
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Practice

Cancel zeros when dividing Get 5 of 7 questions to level up!
Divide with remaindersGet 3 of 4 questions to level up!
Divide by 1-digit numbers (no remainders)Get 5 of 7 questions to level up!
Zeros in the dividend (no remainders)Get 3 of 4 questions to level up!
Zeros in the quotient (no remainders)Get 3 of 4 questions to level up!

Topic H: Multiplication of two-digit by two-digit numbers

Learn

Multiplying 2-digit numbers
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Practice

Multiply 2-digit numbers with area modelsGet 3 of 4 questions to level up!
Multiply 2-digit numbersGet 5 of 7 questions to level up!

About this unit

"In this module, students use place value understanding and visual representations to solve multiplication and division problems with multi-digit numbers. As a key area of focus for Grade 4, this module moves slowly but comprehensively to develop students’ ability to reason about the methods and models chosen to solve problems with multi-digit factors and dividends." Eureka Math/EngageNY (c) 2015 GreatMinds.org