multiplication with 2 or more digits. multiplication 23 x 45 430 x 300 410 x 27 74 x 82
TRANSCRIPT
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!