**Grade 4 Module 3**

Multi-Digit Multiplication and Division

Multi-Digit Multiplication and Division

**Module 3 Topic A**

Multiplicative Comparison Word Problems

Multiplicative Comparison Word Problems

Objectives:

Investigate and use the formulas for area and perimeter of rectangles.

(Lesson 1)

Solve multiplicative comparison word problems by applying the area and perimeter formulas.

(Lesson 2)

Demonstrate understanding of area and perimeter formulas by solving multi-step real world problems.

(Lesson 3)

Module 3 Topic B

Multiplication by 10, 100, and 1,000

Objectives:

Interpret and represent patterns when multiplying by

10, 100, and 1,000

in

arrays and numerically.

(Lesson 4)

Multiply multiples of

10, 100, and 1,000

by single digits, recognizing patterns.

(Lesson 5)

Multiply

two-digit multiples

of

10

by two-digit multiples of

10

with the area model.

(Lesson 6)

Module 3 Topic D

Multiplication Word Problems

Objectives:

Solve

two-step

word problems, including multiplicative comparison.

(Lesson 12)

Use multiplication, addition, or subtraction to solve multi-step word problems.

(Lesson 13)

Mid-Module Assessment: Topics A–D

Module 3 Topic G

Division of Thousands, Hundreds, Tens, and Ones

Objectives:

Divide multiples of

10, 100, and 1,000

by single-digit numbers.

(Lesson 26)

Represent and solve division problems with up to a three-digit dividend numerically and with number disks requiring decomposing a remainder in the hundreds place.

(Lesson 27)

Represent and solve three-digit dividend division with divisors of

2, 3, 4, and 5 numerically

.

(Lesson 28)

Represent numerically four-digit dividend division with divisors of

2, 3, 4, and 5

, decomposing a remainder up to three times.

(Lesson 29)

Solve division problems with a

zero

in the dividend or with a

zero in the quotient

.

(Lesson 30)

Interpret division word problems as either number of groups unknown or group size unknown

. (Lesson 31)

Interpret and find

whole number quotients

and remainders to solve

one-step division word problems with larger divisors

of 6, 7, 8, and 9.

(Lesson 32)

Objective 8:

Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.

(Lesson 33)

**Module 3 Topic H**

Multiplication of Two-Digit by Two-Digit Numbers

Multiplication of Two-Digit by Two-Digit Numbers

Objective:

Multiply two-digit multiples of

10 by two-digit numbers

using a place value chart.

(Lesson 34)

Multiply two-digit multiples of

10 by two-digit numbers

using the area model.

(Lesson 35:)

Multiply two-digit by two-digit numbers using four partial products.

(Lesson 36)

Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.

(Lessons 37–38: )

End-of-Module Assessment: Topics A–H

Module 3 Topic C

Multiplication of up to Four Digits by Single-Digit Numbers

Objectives:

Use place value disks to represent

two-digit by one-digit

multiplication.

(Lesson 7)

Extend the use of place value disks to represent

three- and four-digit

by one-digit multiplication.

(Lesson 8)

Multiply

three- and four-digit numbers by one-digit numbers applying the standard algorithm.

(Lessons 9-10)

Connect the area model and the partial products method to the standard algorithm.

(Lesson 11)

Module 3 Topic E

Division of Tens and Ones with Successive Remainders

Objective:

Solve division word problems with remainders.

(Lesson 14)

Understand and solve division problems with a remainder using the array and area models.

(Lesson 15)

Understand and solve two-digit dividend division problems with a remainder in the ones place by using number disks.

(Lesson 16)

Represent and solve division problems requiring decomposing a remainder in the tens.

(Lesson 17)

Find whole number quotients and remainders

.

(Lesson 18)

Explain remainders by using place value understanding and models.

(Lesson 19)

Solve division problems without remainders using the area model.

(Lesson 20)

Solve division problems with remainders using the area model.

(Lesson 21)

Module E Topic F

Reasoning with Divisibility

Objectives:

Find factor pairs for numbers to

100

and use understanding of factors to define prime and composite.

(Lesson 22)

Use division and the

associative property

to test for factors and observe patterns.

(Lesson 23)

Determine whether a whole number is a multiple of another number.

(Lesson 24)

Explore properties of prime and composite numbers to

100

by using multiples.

(Lesson 25)

Module 3 Lesson 3

Objective: Demonstrate understanding of area and perimeter formulas by solving multi-step real world problems.

Module 3 Lesson 2

Objective: Solve multiplicative comparison word problems by applying the area and perimeter formulas.

Objective: Investigate and use the formulas for area and perimeter of rectangles.

Module 3 Lesson 1

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**Let's look at the Topics in Detail!**

Topic B is next!

Topic B Lesson 4

Topic B Lesson 5

Topic B Lesson 6

Objective: Multiply

two-digit multiples

of

10

by two-digit multiples of

10

with the area model.

Objective: Interpret and represent patterns when multiplying by

10, 100, and 1,000

in

arrays and numerically.

Objective: Multiply multiples of

10, 100, and 1,000

by single digits, recognizing patterns.

Topic C is next!

Topic C Lesson 8

Objective: Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.

Topic C Lesson 11

Connect the area model and the partial products method to the standard algorithm.

Topic C Lesson 7

Objective: Use place value disks to represent two-digit by one-digit multiplication

Topic C Lesson 9-10

Objective: Extend the use of place value disks to represent

three- and four-digit

by one-digit multiplication.

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Topic D is next!

Topic D Lesson 12

Topic D Lesson 13

Objective:

Solve

two-step

word problems, including multiplicative comparison

Objective:

Use multiplication, addition, or subtraction to solve multi-step word problems

**Mid-Module Assessment**

**Mid-Module**

Assessment

Assessment

Topic E is next!

Topic E Lesson 14

Topic E Lesson 15

Objective: Understand and solve division problems with a remainder using the array and area models

Topic E Lesson 17

Objective: Represent and solve division problems

requiring decomposing a remainder in the tens.

Topic E Lesson 21

Objective: Solve division problems with remainders using the area model.

Topic E Lesson 16

Objective: Understand and solve two-digit dividend division problems with a remainder in the ones place by using number disks.

Topic E Lesson 20

Objective 20: Solve division problems without remainders using the area model.

Topic E Lesson 19

Objective: Explain remainders by using place value understanding and models.

Topic E Lesson 18

Objective: Find whole number quotients and remainders.

Objective: Solve division word problems with remainders.

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Topic F is next!

Topic F Lesson 25

Objective 4: Explore properties of prime and composite numbers to 100 by using multiples.

Topic F Lesson 24

Topic F Lesson 23

Objective 2: Use division and the associative property to test for factors and observe patterns.

Topic F Lesson 22

Objective 1: Find factor pairs for numbers to 100 and use understanding of factors to define prime and composite.

Objective 3: Determine whether a whole number

is a multiple of another number.

Topic G is next!

Unit G Lesson 26

Objective 1: Divide multiples of 10, 100,

and 1,000 by single-digit numbers.

Unit G Lesson 27

Objective 2: Represent and solve division problems with up to a three-digit dividend numerically and with number disks requiring decomposing a remainder in the hundreds place.

Unit G Lesson 28

Objective 3: Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.

Unit G Lesson 29

Objective 4: Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.

Unit G Lesson 30

Objective 5: Solve division problems with a zero in the dividend or with a zero in the quotient. (Lesson 30)

Unit G Lesson 31

Objective 6: Interpret division word problems as either number of groups unknown or group size unknown. (Lesson 31)

Unit G Lesson 32

Objective 7: Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.

Unit G Lesson 33

Objective 8: Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.

SPRINT

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Topic H is next!

Topic H Lesson 36

Objective 3: Multiply two-digit by two-digit numbers using four partial products.

Topic H Lessons 37-38

Objective 4: Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.

Topic H Lesson 35

Objective 2: Multiply two-digit multiples of 10 by two-digit numbers using the area model.

Topic H Lesson 34

Objective 1: Multiply two-digit multiples of 10 by two-digit numbers using a place value chart.

**End-Module Assessment**

**End-Module**

Assessment

Assessment

**Designed by: Alexandra Greenberg**

Coordinator of Curriculum Development

Southern Westchester BOCES

Harrison, NY 10528

914-345-8500 ext 3151

agreenberg@swboces.org

Coordinator of Curriculum Development

Southern Westchester BOCES

Harrison, NY 10528

914-345-8500 ext 3151

agreenberg@swboces.org

**Standards**