## 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**

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__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: M**

**ultiplication 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**

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**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 3**

**0**

**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**

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**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.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**