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Multiplication. w ith 2 or more digits. 23 x 45. Multiplication. 74 x 82. 410 x 27. 4 30 x 300. w ith 2 or more digits. This week, we will learn…. m ultiplication with 2 or more digits. Think back to when we learned how to multiply in the past: Wh at were some methods that we used?
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Multiplication with 2 or more digits
23 x 45 Multiplication 74 x 82 410 x 27 430 x 300 with 2 or more digits
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 Apartand 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 4X4,5 4 x 45 =180
Step Two 4X4,5 4 x 45 = 180
Step Three 4X4,5 4 x 45= 180
Step Three 4X4,5 4 x 45 = 180
Step Four 4X4,5 4 x 45 = 180,000
Step Four 40X 4,500 180,000
Please take out your lattice from your class binder. I will show you which way to turn it. Wednesday Lattice Method
28 x 27 2 8 0 1 2 4 6 7
28 x 27 2 8 0 1 2 4 6 4 5 7 1 6
28 x 27 2 8 1 0 1 2 0 4 6 1 5 7 7 4 6 6 5 756
Do this with me! 36 x 45 3 6 1 2 4 2 4 5
36 x 45 3 6 1 1 2 4 1 2 4 1 3 6 5 5 0 0 2 1,620
How do you feel about lattice?Use your sticker chart to show me!
You try! If you chose yellow or orange: 24 x 19 456 If you chose green or above: 721 x 54 38,934
You try! If you chose yellow or orange: 47 x 91 4,277 If you chose green or above: 371 x 29 10,759
You try! If you chose yellow or orange: 38 x 62 2,356 If you chose green or above: 418 x 73 30,514
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 2. 244 x 572 3. 135 x 891 4. 203 x 460 1. 756 x 142 5. 698 x 811
Challenge problems 2. 139,568 3. 120,285 4. 93,380 1. 107,352 5. 566,078
Friday Partial 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 20 400 160 7 56 140
28 x 27 20 8 20 400 160 7 56 140 +
28 x 27 20 8 1 400 20 160 140 7 + 56 7 6 5 What methods does partial products remind you of now?
281 x 274 2 8 1 2 7 What is wrong? 4
281 x 274 200 80 1 200 70 4
Do this with me! 46 x 87 40 6 80 3,200 480 7 42 280
46 x 87 40 6 80 3,200 480 7 42 280 +
46 x 87 40 6 2 1 3,200 80 480 280 7 42 + 4, 0 0 2
How do you feel about partial products?Use your sticker chart to show me!
You try! If you chose yellow or orange: 41 x 62 2,542 If you chose green or above: 248 x 88 21,824
Use your favorite method to solve: If you chose yellow or orange: 71 x 62 4,402 If you chose green or above: 467 x 241 112,547
Stand up and push in your chair. Which method do you like more? Tell your elbow partner why. If you liked lattice, walk…
Monday Standard 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 1 2 4 2 4 5
36 x 45 3 6 1 1 2 4 1 2 4 1 3 6 5 5 0 0 2 1,620
But first….. • What did we do second last week? • Now the other partner will explain Partial Products.
28 x 27 20 8 20 400 160 7 56 140
28 x 27 20 8 20 400 160 7 56 140 +
28 x 27 20 8 1 400 20 160 140 7 + 56 7 6 5
Breaking Apart The Karate Chop
Remember… 7 x 28 (7 x 20) + (7 x 8) = _________ 140 56 196 Where did these two problems come from?
So… 71 x 23 (71 x 20) + (71 x 3) = _________ OR (70 x 23) + (1 x 23) = _________ How can I break this up?