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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 and addition: 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!
Represent rectangle measurementsGet 3 of 4 questions to level up!
Area & perimeter of rectangles word problemsGet 5 of 7 questions to level up!
Area and perimeter situationsGet 3 of 4 questions to level up!

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

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Multiplying 10s
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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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Practice
Multiplying 10sGet 5 of 7 questions to level up!
Multiply 1-digit numbers by 10, 100, and 1000Get 5 of 7 questions to level up!
Understand multiplying by a multiple of 10, 100, and 1000Get 3 of 4 questions to level up!
Multiply 1-digit numbers by a multiple of 10, 100, and 1000Get 5 of 7 questions to level up!

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

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Using area model and properties to multiply
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Multiplying with area model: 6 x 7981
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Estimating with multiplication
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Relate multiplication with area models to the standard algorithm
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Multiplying 3-digit by 1-digit
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Multiplying 3-digit by 1-digit (regrouping)
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Estimating 2-digit multiplication
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Multiplying with area model: 16 x 27
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Multiplying with area model: 78 x 65
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Practice
Multiply 2-digits by 1-digit with area modelsGet 3 of 4 questions to level up!
Multiply 2-digits by 1-digit with distributive propertyGet 3 of 4 questions to level up!
Multiply 3- and 4-digits by 1-digit with distributive propertyGet 5 of 7 questions to level up!
Estimate products (1-digit times 2, 3, and 4-digit)Get 5 of 7 questions to level up!
Multiply using partial productsGet 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!
Estimate products (2-digit numbers)Get 5 of 7 questions to level up!
Multiply with partial products (2-digit numbers)Get 3 of 4 questions to level up!
Multiply 2-digit numbers with area modelsGet 3 of 4 questions to level up!

Topic D: Multiplication word problems

Learn
2-step estimation problem: marbles
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Practice
2-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
Understanding remainders
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Interpreting remainders
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Intro to remainders
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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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Division word problem: field goals
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Multiplication word problem: pizza
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Practice
Estimate to divide by 1-digit numbersGet 3 of 4 questions to level up!
Divide with remainders (2-digit by 1-digit)Get 3 of 4 questions to level up!
Divide multiples of 10, 100, and 1,000 by 1-digit numbersGet 5 of 7 questions to level up!
Divide using place valueGet 3 of 4 questions to level up!
Divide by 1-digit numbers with area modelsGet 3 of 4 questions to level up!
Create division equations with area modelsGet 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
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Factors and multiples: days of the week
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Prime numbers
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Recognizing prime and composite numbers
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Prime and composite numbers review
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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 factorsGet 5 of 7 questions to level up!
Identify multiplesGet 3 of 4 questions to level up!
Relate 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!
Prime and composite numbersGet 3 of 4 questions to level up!
Patterns with numbersGet 3 of 4 questions to level up!
Patterns with shapesGet 3 of 4 questions to level up!

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

Learn
Intro to long division (no remainders)
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Long division with remainders: 2292÷4
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Long division with remainders: 3771÷8
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Practice
Estimate quotients (3- and 4-digit divided by 1-digit)Get 5 of 7 questions to level up!
Divide multi-digit numbers by 6, 7, 8, and 9 (remainders)Get 3 of 4 questions to level up!
Divide multi-digit numbers by 2, 3, 4, and 5 (remainders)Get 5 of 7 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