# Area Model and Long Division

Videos to help Grade 4 students learn how to explain the connection of the area model of division to the long division algorithm for three- and four-digit dividends.

Common Core Standards: 4.OA.3,
4.NBT.6,
4.NBT.1

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Lessons for Grade 4

Common Core For Grade 4

## New York State Common Core Math Module 3, Grade 4, Lesson 33

### NYS Math Module 3 Grade 4 Lesson 33 Concept Development

Problem 1

672 ÷ 3 and 1,344 ÷ 6

Draw a rectangle with an area of 672 square inches

and a width of 3 inches.

Problem 2

1,216 ÷ 4

### NYS Math Module 3 Grade 4 Lesson 33 Problem Set

1. Ursula solved the following division problem by drawing an area model.

a. What division problem did she solve?

b. Show a number bond to represent Ursula’s area model and represent the total length using the
distributive property.

### NYS Math Module 3 Grade 4 Lesson 33 Application Problem

Write an equation to find the unknown length of each rectangle. Then find the sum of the two unknown
lengths.

### NYS Math Module 3 Grade 4 Lesson 33 Homework

1. Arabelle solved the following division problem by drawing an area model.
a. What division problem did she solve?

b. Show a number bond to represent Arabelle’s area model and represent the total length using the
distributive property.

2. a. Solve 816 ÷ 4 using the area model. There is no remainder in this problem.

b. Draw a number bond and use a written method to record your work from (a).

3. a. Draw an area model to solve 549 ÷ 3.

b. Draw a number bond to represent this
problem.

c. Record your work using the long division
algorithm.