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Multiplication with 2 or more digits. Multiplication 23 x 45 430 x 300 410 x 27 74 x 82.

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Presentation on theme: "Multiplication with 2 or more digits. Multiplication 23 x 45 430 x 300 410 x 27 74 x 82."— Presentation transcript:

1 Multiplication with 2 or more digits

2 Multiplication 23 x 45 430 x 300 410 x 27 74 x 82

3 This week, we will learn… multiplication 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? Wh at were some methods that we used? What was your favorite? What was your favorite?

4 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 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? 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? Can you think of any examples?

5 This week, we will learn Wednesday: Lattice Method Wednesday: Lattice Method Thursday: Review lattice Thursday: Review lattice Friday: Partial Products Friday: Partial Products Monday: Breaking Apart and Standard Form Monday: Breaking Apart and Standard Form Tuesday: Multiplication Review Game Tuesday: Multiplication Review Game Wednesday: Multiplication Test Wednesday: Multiplication Test

6 But first….. Do you remember multiplication with zeros? 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. Turn to your elbow partner. If your name would appear first in a dictionary, explain to your partner how to solve this.

7 Step One 4 x 45 =180

8 Step Two 4 X 4,5 4 x 45 = 180

9 Step Three 4 X 4,5 4 x 45 = 180

10 Step Three 4 X 4,5 4 x 45 = 180

11 Step Four 4 X 4,5

12 Step Four 40 X 4,500 180,000

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

14 28 x 27 28 2 0 4 1 6 7

15 28 2 0 4 1 6 7 6 5 1 4

16 28 2 0 4 1 6 6 756 7 6 5 4 1 5 1 7 0

17 Do this with me!36 x 45 36 4 1 2 2 4 5

18 36 x 45 36 4 1 2 2 4 0 1,620 5 0 3 5 1 2 1 6 1

19 How do you feel about lattice? Use your sticker chart to show me!

20 You try! If you chose green or above: 721 x 54 38,934 If you chose yellow or orange: 24 x 19 456

21 You try! If you chose green or above: 371 x 29 10,759 If you chose yellow or orange: 47 x 91 4,277

22 You try! If you chose green or above: 418 x 73 30,514 If you chose yellow or orange: 38 x 62 2,356

23 Now how do you feel about lattice? Use your sticker chart to show me! You are going to practice on your own now!

24 Challenge problems 1. 756 x 142 2. 244 x 572 3. 135 x 891 4. 203 x 460 5. 698 x 811

25 Challenge problems 1. 107,352 2. 139,568 3. 120,285 4. 93,380 5. 566,078

26 Friday Partial Products

27 Think back to the last time we learned this…. Think back to the last time we learned this…. What two methods was this a mixture of? 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. 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. Our problem will again be 28 x 27.

28 28 x 27 208 400 140 160 56 7

29 28 x 27 208 400 140 160 56 7 +

30 28 x 27 208 400 140 160 56 7 + 6 5 1 7 What methods does partial products remind you of now?

31 281 x 274 28 2 What is wrong? 7 4 1

32 281 x 274 20080 200 70 4 1

33 Do this with me! 46 x 87 406 80 3,200 280 480 42 7

34 46 x 87 406 80 3,200 280 480 42 7 +

35 46 x 87 406 80 3,200 280 480 42 7 + 20 2 0 1 4,

36 How do you feel about partial products? Use your sticker chart to show me!

37 You try! If you chose green or above: 248 x 88 21,824 If you chose yellow or orange: 41 x 62 2,542

38 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:

39 Stand up and push in your chair. Which method do you like more? Tell your elbow partner why. If you liked lattice, walk…

40 Monday Standard Method & Breaking Apart

41 But first….. What did we do first last week? 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. Turn to your elbow partner. If your name would appear first in a dictionary, explain to your partner how to use the Lattice Method.

42 36 x 45 36 x 45 36 4 1 2 2 4 5

43 36 x 45 36 4 1 2 2 4 0 1,620 5 0 3 5 1 2 1 6 1

44 But first….. What did we do second last week? What did we do second last week? Now the other partner will explain Partial Products. Now the other partner will explain Partial Products.

45 28 x 27 208 400 140 160 56 7

46 28 x 27 208 400 140 160 56 7 +

47 28 x 27 208 400 140 160 56 7 + 6 5 1 7

48 Breaking Apart The Karate Chop

49 (7 x 20) + (7 x 8) = _________ (7 x 20) + (7 x 8) = _________ 140 56 196 7 x 28 Remember… Where did these two problems come from?

50 (71 x 20) + (71 x 3) = _________ (71 x 20) + (71 x 3) = _________ 71 x 23 So… How can I break this up? OR (70 x 23) + (1 x 23) = _________ (70 x 23) + (1 x 23) = _________

51 (71 x 20) + (71 x 3) = _________ (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) = _________

52 161 23 1,633 71 x 23 So… 23 X 7 161 2 1,610

53 (34 x 50) + (34 x 6) = _________ (34 x 50) + (34 x 6) = _________ 170 204 1,904 Try with me! 34 x 56 34 X 5 170 2 1,700 Where should we karate chop it? 34 X 6 204 2 How else could you have found 34 x 6? 170 + 34 204

54 How do you feel about breaking apart? Use your sticker chart to show me!

55 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:

56 Standard Form

57 Remember… 28 x 7 5 6 196 56 14+ 5

58 So… 28 x 3 7 5 6 196 56 14+ 5

59 So… 28 x 3 7 2 6 196 24 6 + 2 0 4 8 Is this really a 3?

60 So… 28 x 3 7 6 196 0 4 +8+8 6 3 10 1 1,036

61 Try with me! 45 x 18 45 x 1 8 4 0 360 40 32+ 4

62 45 x 18 360 0 54 Is this really a 1?

63 45 x 18 360 0 5 +4+4 0 1 8 1 810

64 How do you feel about standard form? Use your sticker chart to show me!

65 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:

66 Now we know 4 methods! 1. Lattice Method 3. Breaking Apart – Karate Chop 4. Standard Form 2. Partial Products

67 How do you feel about multiplication if you can use any form of your choice? Use your sticker chart to show me!

68 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:

69 Stand up and push in your chair. Which method do you like more? Tell your elbow partner why. If you liked lattice, walk…

70 Good job!


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