Modeling Division

Area Model Division

Area Model Division

• Make it Multiplication

• Decompose the Dividend

• Find the Factors

Multiple Choice

How can we rewrite the following division sentence as a multiplication sentence?

54 ÷ 3 = ?

• ? x 3 = 54

• ? ÷ 3 = 54

• 54 x 3 = ?

3 x ? = 54

Now that our division sentence is written as a multiplication sentence, it is a little easier to solve.

Let's decompose the number 54 into smaller parts!

Open Ended

How would you decompose 54?

Remember that we want numbers that are friendly with the number 3 (multiples of 3).

Many Ways to Decompose!

You could have chosen

24 + 24 + 6

12 + 12 + 12 + 12 + 6

27 + 27

But why did Mr. Smallwood choose 30 + 24?

Multiple Choice

3 x _ = 30

• 10

• 3

• 30

• 0

• 54

Multiple Choice

3 x _ = 24

• 8

• 3

• 30

• 10

• 54

All Done?

• 3 x 10 = 30

• 3 x 8 = 24

• Now what...?

Multiple Choice

Solve:

54 ÷ 3 = _

_ x 3 = 54

• 18

• 10

• 30

• 24

• 15

Again?

Again.

Area Model Division

• Make it Multiplication

• Decompose the Dividend

• Find the Factors

Multiple Choice

How can we rewrite the following division sentence as a multiplication sentence?

698 ÷ 4 = ?

• ? x 4 = 698

• ? ÷ 4 = 698

• 698 x 4 = ?

4 x ? = 698

Now that our division sentence is written as a multiplication sentence, it is a little easier to solve.

Let's decompose the number 698 into smaller parts!

We need to decompose 698 into numbers that are multiples of 4.

Which number should we use first for decomposing 698?

Multiple Choice

If we start decomposing 698 with 400, how much will be remaining?

• 400 + 298

• 400 + 98

• 400 + 349

• 400 + 69

Keep going!

We can decompose 298 into parts that are multiples of 4.

What number should we use?

Multiple Choice

We still have 298 left.

Which multiple of 4 can we use to decompose?

• 280

• 45

• 98

• 320

Keep going...?

So far, we have decomposed 698 into 400 + 280.

This means we have 18 left.

Should we decompose the 18?

YES! Keep going!

What multiple of 4 can we pull out from the number 18?

Multiple Choice

We still have 18 left.

Which multiple of 4 can we use to decompose?

• 16

• 18

• Do not decompose

• 2

Reminder

We chose 400, 280, and 16 because they are all multiples of 4. This will help us divide the dividend by 4.

The two is just how much we have leftover. That is going to be our remainder.

Fill in the Blank

400 ÷ 4 = ___

___ x 4 = 400

Multiple Choice

280 ÷ 4 = __

__ x 4 = 280

• 70

• 35

• 10

• 16

Multiple Choice

16 ÷ 4 = _

_ x 4 = 16

• 4

• 8

• 10

• 2

• 6

Don't forget: the 2 is a remainder.

Multiple Choice

698 ÷ 4 =

• 174 r. 2

• 176

• 174

• 176 r. 2

Multiple Choice

280 ÷ 4 = __

__ x 4 = 280

• 70

• 35

• 10

• 16

Finished.

Way to hang in there.