**Decimal division with a visual model**

Welcome!

Silently find your seat and get out a pencil.

Wait for my countdown for the lesson to begin.

Today's Lesson

What makes a decimal a decimal?

**Problem 1:**

Let's do a quick review!

What is 12 divided by 4?

How can I show this division problem visually?

3

Dividing a number means that you are splitting the number into equal sized groups.

Where do you see decimals?

What does it mean to divide a decimal?

Objective:

Students will be able to explain their thinking when dividing decimals using visual models.

Steps:

1) Write the dividend as a sum of a whole number and a decimal

2) Divide the whole number by the divisor by drawing a picture

3) Divide the decimal part of the divisor by drawing a picture

4) Add the partial quotients together to get the final answer

1) I need to draw my groups.

2) I need to split up 12 into 4 equal sized groups.

I get this picture:

I need to divide 64.32 by 8.

Step 1: Write the dividend as a sum of a whole number and a decimal.

64.32 =

64 + 0.32

Step 2: Divide the whole number part of the dividend by the divisor using a visual model.

I divide ____ wholes into _____ groups.

64

8

Visual model!

**There are 8 servings of 64.32 ounce Coca Cola bottle. How many ounces are in a serving? Explain your thinking and solve using a visual model.**

_____ wholes divided by ____ is _____ wholes because I have _____ wholes in each of my groups.

8

8

8

64

Step 3: Divide the decimal part of the dividend by the divisor using a visual model.

I divide _____ __________ into ____ groups.

32

hundredths

8

Let's draw our groups: How many do we need?

_____ hundredths divided into ____ groups is _____ hundredths because I have _____________ in each of my groups.

32

8

4

0.04

Step 4: I add together my partial quotients to find my total answer.

8 + 0.04 =

8.04

ounces

You are going to do the next problem with your table groups.

Each group member needs to write on the group's worksheet.

Everyone is on task.

Everyone is participating and contributing.

Everyone is practicing good communication skills.

Listen carefully to your partners when they speak

Use respectful language when you are speaking to your group

Let's go over it together:

Step 1:

Write your equation:

45.27 = 45 + 0.27

Step 2:

I divide 45 wholes into 9 groups.

45 wholes divided by 9 is 5 wholes because I have 5 wholes in each of my groups.

Step 3:

I divide 27 hundredths, or 0.27, into 9 groups.

27 hundredths divided by 9 is 3 hundredths because I have 0.03 in each of my groups.

Step 4:

Final answer:

5.03

I add my partial quotients to find my total answer.

5 + 0.03 = 5.03

inches