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September 20, 2010 Subject Topic Title Grade(s) Intended learning outcome(s) Math Factors and multiples First Math Lesson! - September 20, 2010 7 and 8 · Defining, identifying and classifying factors · Defining, identifying and classifying multiples · Categorize numbers into sets © 2006 SMART Technologies Inc. All rights reserved. For further information, please see copyright notice. 1 September 20, 2010 Definitions 2 September 20, 2010 So, what does this really mean? You can also think of a factor as the number that multiplies with another number (another factor) and equals a product. 3 x 4 = 12 factor factor What are the factors in the following problems? 4 x 8 = 32 9 x 7 = 62 12 x 8 = 96 4 x 8 = 32 9 x 7 = 62 12 x 8 = 96 factor factor factor factor factor factor 3 September 20, 2010 Write all possible ways to multiply two numbers to get each number listed (click to reveal combinations) 1) 36 1, 36 2, 18 3, 12 4, 9 6, 6 3) 100 1, 100 2, 50 4, 25 5, 20 10, 10 2) 12 1, 12 2, 6 3, 4 4) 40 1, 40 2, 20 4, 10 5, 8 4 September 20, 2010 Drag the numbers to the appropriate circle, numbers can be used more than once 1 10 Factors of 8 2 11 8 3 12 4 5 6 7 8 9 13 4 3 14 2 1 6 17 16 12 Factors of 12 15 Factors of 17 17 5 September 20, 2010 Use the red dots to cover all factors of 12. Use the green dots to cover all factors of 20. Do you notice anything about the factors? Are they even or odd? Are any the same? What is the smallest number? What is the largest? 6 September 20, 2010 Definitions 7 September 20, 2010 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 What are the Prime Numbers to 100? T o u c h t h e n u m b e r 8 September 20, 2010 What is a multiple? Write your definition of a multiple here. Slide to definition. A multiple is the product of reveal a whole number and any other whole number. 9 September 20, 2010 So, what does this really mean? You can also think of a multiple as the product of two numbers multiplied together. When you find multiples, it helps to skip count! The multiples of 4 are: 4 8 12 16 20 24 and they keep going and going and going . . . 28 32 . . . Another way to think of this is through multiplication 4 8 12 16 20 24 28 4x1 4x2 4x3 4x4 4x5 4x6 4x7 32 . . . 4x8 10 September 20, 2010 more practice Pull 11 September 20, 2010 1 1 2 3 4 5 6 2 2 4 6 8 10 12 3 3 6 9 12 15 18 6 6 12 18 24 30 36 8 8 16 24 32 40 48 List the first 6 multiples of each number 1 raise shade to see answers 2 3 6 8 12 September 20, 2010 Use the yellow dots to cover all multiples of 6. Use the blue dots to cover all multiples of 7. Do you notice anything about the multiples? Are they even or odd? Are any the same? What is the smallest number? What is the largest? 13 September 20, 2010 Definitions 14 September 20, 2010 HUH? HUH? HUH? HUH? HUH?HUH? HUH? HUH? HUH? HUH? HUH? HUH? HUH? HUH? HUH? HUH? HUH? 15 September 20, 2010 You can play by yourself or with a friend! Click 16 September 20, 2010 Use Prime Factorization (click boxes to reveal) 24 8 81 3 2 4 3 2 2 9 9 -36 There's a special trick to this type of problem! 3 3 3 3 17 September 20, 2010 Definitions 18 September 20, 2010 Use the red dots to cover all factors of 28. Use the green dots to cover all factors of 36. What is the Greatest Common Factor (GCF)? ___________ Need a review? 19 September 20, 2010 Use the yellow dots to cover all multiples of 3. Use the blue dots to cover all multiples of 9. What is the Least Common Multiple (LCM)? ________ Need a review? 20 September 20, 2010 In Your Textbook, Please Complete The Following... Grade 7 Grade 8 21