Multiplication

with 2 or more digits

Multiplication

with 2 or more digits

23 x

45

430 x 300

410 x 27

74 x 82

This week, we will learn…

multiplication with 2 or more digits.

Think back to when we learned how to multiply in the past:

What were some methods that we used?

What was your favorite?

Why is it important to know how to solve problems like 16 x 39?

Example: There are 39 students on the playground. Each student has 16 Pokémon cards. All of a sudden, a big wind blows all of the cards away! How many Pokémon cards are flying through the air?

Example: There are 16 students in Ms. Dacus’ class. Each student earned 39 tickets this week. How many tickets did Ms. Dacus give out?

Can you think of any examples?

This week, we will learn

Wednesday: Lattice Method

Thursday: Review lattice

Friday: Partial Products

Monday: Breaking Apart and Standard Form

Tuesday: Multiplication Review Game

Wednesday: Multiplication Test

But first…..

Do you remember multiplication with zeros?

40 x 4,500

Turn to your elbow partner. If your name would appear first in a dictionary, explain to your partner how to solve this.

Step One

4 X 4,5

4 x 45 =180

Step Two

4 X 4,5

4 x 45 = 180

Step Three

4 X 4,5

4 x 45 = 180

Step Three

4 X 4,5

4 x 45 = 180

Step Four

4 X 4,5

4 x 45 = 180,000

Step Four

40 X 4,500

180,000

WednesdayLattice Method

Please take out your lattice from your class binder. I will show you which way to turn it.

28 x 27

2 8

204

16

7

28 x 27

2 8

204

16

765

14

28 x 27

2 8

204

16

6

756

765

41

5

1

7

0

Do this with me! 36 x 45

3 6

412

24

5

36 x 45

3 6

412

24

0

1,620

503

51

2

1

6

1

How do you feel about lattice?

Use your sticker chart to show me!

You try!

If you chose green or above:

721 x 54

38,934

If you chose yellow or orange:

24 x 19

456

You try!

If you chose green or above:

371 x 29

10,759

If you chose yellow or orange:

47 x 91

4,277

You try!

If you chose green or above:

418 x 73

30,514

If you chose yellow or orange:

38 x 62

2,356

Now how do you feel about lattice?

Use your sticker chart to show me!

You are going to practice on your own now!

Challenge problems

1. 756 x 142

2. 244 x 572

3. 135 x 891

4. 203 x 460

5. 698 x 811

Challenge problems

1. 107,352

2. 139,568

3. 120,285

4. 93,380

5. 566,078

FridayPartial Products

Partial Products

Think back to the last time we learned this….

What two methods was this a mixture of?

This time, it is a bit more complicated. Watch first, then tell me what it reminds you of now.

Our problem will again be 28 x 27.

28 x 27

20 8

20400

140

160

56 7

28 x 27

20 8

20400

140

160

56 7+

28 x 27

20 8

20 400

140160

567

+65

1

7What methods does partial products remind you of now?

281 x 274

2 8

2

What is wrong?

7

4

1

281 x 274

200

80

20070

4

1

Do this with me! 46 x 87

40 6

803,200

280

480

42 7

46 x 87

40 6

803,200

280

480

42 7+

46 x 87

40 6

80 3,200

280480

427

+20

2

0

1

4,

How do you feel about partial products?

Use your sticker chart to show me!

You try!

If you chose green or above:

248 x 88

21,824

If you chose yellow or orange:

41 x 62

2,542

If you chose green or above:

467 x 241

112,547

If you chose yellow or orange:

71 x 62

4,402

Use your favorite method to solve:

Stand up and push in your chair.

Which method do you like more?

Tell your elbow partner why.

If you liked lattice, walk…

MondayStandard Method &

Breaking Apart

But first…..

What did we do first last week?

Turn to your elbow partner. If your name would appear first in a dictionary, explain to your partner how to use the Lattice Method.

36 x 45

3 6

412

24

5

36 x 45

3 6

412

24

0

1,620

503

51

2

1

6

1

But first…..

What did we do second last week?

Now the other partner will explain Partial Products.

28 x 27

20 8

20400

140

160

56 7

28 x 27

20 8

20400

140

160

56 7+

28 x 27

20 8

20 400

140160

567

+65

1

7

Breaking Apart

The Karate Chop

(7 x 20) + (7 x 8) = _________140 56

196

7 x 28

Remember…

Where did these two problems come from?

(71 x 20) + (71 x 3) = _________

71 x 23

So…

How can I break this up?

OR

(70 x 23) + (1 x 23) = _________

(71 x 20) + (71 x 3) = _________

71 x 23

So…

Which way should I pick? Why?

OR

(70 x 23) + (1 x 23) = _________

(70 x 23) + (1 x 23) = _________161 23

1,633

71 x 23

So…

23X 7 161

2

1,610

(34 x 50) + (34 x 6) = _________170 204

1,904

Try with me! 34 x 56

34X 5 170

2

1,700

Where should we karate chop it?

34X 6 204

2How else could you have found 34 x 6?

170+ 34 204

How do you feel about breaking apart?

Use your sticker chart to show me!

If you chose green or above:

467 x 24

11,208

If you chose yellow or orange:

74 x 21

1,554

Use Breaking Apart:

Standard Form

Remember…

28x 7

5

6 196

56

14 + 5

So…

28x 3 7

5

6 196

56

14 + 5

So…

28x 3 7

2

6 196

24

6 + 2

048

Is this really a 3?

So…

28x 3 7 6 196

0

4+8631

0

1 1,036

Try with me! 45 x 18

45x 1 8

4

0 360

40

32 + 4

45 x 18

45x 18 360

0

54

Is this really a 1?

45 x 18

45x 18 360

0

5+4 01 8

1 810

How do you feel about standard form?

Use your sticker chart to show me!

If you chose green or above:

741 x 37

27,417

If you chose yellow or orange:

89 x 45

4,005

Use Standard Form:

Now we know 4 methods!

1. Lattice Method

3. Breaking Apart – Karate Chop

4. Standard Form

2. Partial Products

How do you feel about multiplication if you can use

any form of your choice?

Use your sticker chart to show me!

If you chose green or above:

241 x 582

140,262

If you chose yellow or orange:

21 x 67

1,407

Use any form:

Stand up and push in your chair.

Which method do you like more?

Tell your elbow partner why.

If you liked lattice, walk…

Good job!