Mrs. Haenel Elementary Math
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EngageNY - Module 3

 Module 3  Multi-Digit Multiplication and Division

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.

Topic A:  Multiplicative Comparison Word Problems
Math News Parent Resource - Courtesy of Lafayette Schools


Lesson 1:   Investigate and use the formulas for area and perimeter of rectangles.
Video - Module 3 Lesson 1


Lesson 2:  Solve multiplicative comparison word problems by applying the area and perimeter formulas.
Video - Module 3 Lesson 2


Lesson 3:   Demonstrate understanding of area and perimeter formulas by solving multi-step real world problems.
Video - Module 3 Lesson 3


Topic B:  Multiplication by 10, 100, and 1,000
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Lesson 4:  Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically.
Video - Module 3 Lesson 4


Lesson 5:   Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns.
Video - Module 3 Lesson 5


Lesson 6:   Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model.
Video - Module 3 Lesson 6

Topic C:  Multiplication of up to Four Digits by Single-Digit Numbers
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Lesson 7:  Use place value disks to represent two-digit by one-digit multiplication.
Video - Module 3 Lesson 7


Lesson 8:  Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.
Video - Module 3 Lesson 8


Lesson 9:  Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.
Video - Module 3 Lesson 9


Lesson 10:  Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.
Video - Module 3 Lesson 10


Lesson 11:  Connect the area model and the partial products method to the standard algorithm.
Video - Module 3 Lesson 11


Topic D:  Multiplication Word Problems

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Lesson 12:  Solve two-step word problems, including multiplicative comparison.
Video - Module 3 Lesson 12

Lesson 13:  Use multiplication, addition, or subtraction to solve multi-step word problems.
Video - Module 3 Lesson 13


Topic E:  Division of Tens and Ones with Successive Remainders

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Lesson 14:  Solve division word problems with remainders.
Video - Module 3 Lesson 14

Lesson 15:  Understand and solve division problems with a remainder using the array and area models.
Video - Module 3 Lesson 15

Lesson 16:  Understand and solve two-digit dividend division problems with a remainder in the ones place by using number disks.
Video - Module 3 Lesson 16

Lesson 17:   Represent and solve division problems requiring decomposing a remainder in the tens.
Video - Module 3 Lesson 17

Lesson 18:  Find whole number quotients and remainders.
Video - Module 3 Lesson 18

Lesson 19:  Explain remainders by using place value understanding and models.
Video - Module 3 Lesson 19

Lesson 20:  Solve division problems without remainders using the area model.
Video - Module 3 Lesson 20

Lesson 21:  Solve division problems with remainders using the area model.
Video - Module 3 Lesson 21


Topic F:  Reasoning with Divisibility

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Lesson 22:  Find factor pairs for numbers to 100 and use understanding of factors to define prime and composite.
Video - Module 3 Lesson 22

Lesson 23:  Use division and the associative property to test for factors and observe patterns.
Video - Module 3 Lesson 23

Lesson 24:  Determine whether a whole number is a multiple of another number.
Video - Module 3 Lesson 24

Lesson 25:   Explore properties of prime and composite numbers to 100 by using multiples.
Video - Module 3 Lesson 25


Topic G:  Division of Thousands, Hundreds, Tens, and Ones

Math News Parent Resource - Courtesy of Lafayette Schools

Lesson 26:  Divide multiples of 10, 100, and 1,000 by single-digit numbers.
Video - Module 3 Lesson 26

Lesson 27:  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.
Video - Module 3 Lesson 27

Lesson 28:  Represent and solve three-digit dividend division with divisors of 2, 3, 4, and 5 numerically.
Video - Module 3 Lesson 28

Lesson 29:  Represent numerically four-digit dividend division with divisors of 2, 3, 4, and 5, decomposing a remainder up to three times.
Video - Module 3 Lesson 29

Lesson 30:  Solve division problems with a zero in the dividend or with a zero in the quotient.
Video - Module 3 Lesson 30

Lesson 31:  Interpret division word problems as either number of groups unknown or group size unknown.
Video - Module 3 Lesson 31

Lesson 32:  Interpret and find whole number quotients and remainders to solve one-step division word problems with larger divisors of 6, 7, 8, and 9.
Video - Module 3 Lesson 32

Lesson 33:  Explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.
Video - Module 3 Lesson 33


Topic H:  Multiplication of Two-Digit by Two-Digit Numbers

Math News Parent Resource - Courtesy of Lafayette Schools

Lesson 34:  Multiply two-digit multiples of 10 by two-digit numbers using a place value chart.
Video - Module 3 Lesson 34

Lesson 35:  Multiply two-digit multiples of 10 by two-digit numbers using the area model.
Video - Module 3 Lesson 35

Lesson 36:   Multiply two-digit by two-digit numbers using four partial products.

Video - Module 3 Lesson 36

Lesson 37:  Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.
Video - Module 3 Lesson 37

Lesson 38:  Transition from four partial products to the standard algorithm for two-digit by two-digit multiplication.
Video - Module 3 Lesson 38
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