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WARM-UP

WARM-UP. 1. Gayle sold $94.69 worth of books on Tuesday, and $63.14 worth of books on Wednesday. Gayle sold only $34.84 worth of books on Thursday. How much more did Gayle make on Tuesday than she did on Thursday?

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WARM-UP

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  1. WARM-UP 1. Gayle sold $94.69 worth of books on Tuesday, and $63.14 worth of books on Wednesday. Gayle sold only $34.84 worth of books on Thursday. How much more did Gayle make on Tuesday than she did on Thursday? 2. Marcos sold 12 magazine subscriptions for $28 each. How much money did he collect for all of the magazine subscriptions?

  2. Warm up solutions • 1. Tuesday- $63.14 Thursday-$34.84 How much MORE did she make on Tuesday-subtract, answer $28.30 2. 12 subscriptions at $28 each- indicates multiplication- 12 X 28 = 336

  3. LAUNCH • What factors can you multiply to get a product of 10? • What numbers divide into 10 evenly? • How are these two lists related?

  4. VOCABULARY • TURN TO THE SECTION IN YOUR NOTEBOOKS: VOCABULARY • WRITE DOWN THE FOLLOWING VOCABULARY WORDS, DEFINITIONS, AND EXAMPLES

  5. FACTOR-GREATEST COMMON FACTOR • What is a factor? • A factor is what a number is made of (the parts). • The numbers you multiply to get another number are factors. • Example: 2 and 6 are factors of 12. • What are other factors of 12? • 1, 3, 4, and 12 • The GCF is the LARGEST factor two numbers have in common.

  6. DIVISOR • The number that will divide into another number • EX: 3l412 3 is the divisor

  7. PROPER FACTORS • The proper factors of a number are all the factors of that number, except the number itself. For example, the proper factors of 12 are 1,2,3,4, and 6. Although 12 is a factor of itself, it is not a proper factor.

  8. GAME TIME! We are going to play a game with partners to demonstrate understanding of factors. I will play the first game with you, to show you how the game should be played.

  9. EXPLORE As you play the game, think about these questions: • Is it better to go first or second? • What is the best first move? Why? • How do you know when the game is over? • How do you know when you have found all the factors of a number?

  10. USING LISTS TO FIND GCF Find the GCF of 12 and 18. Use your divisibility rules to find the factors. 12: 18: 1, 2, 3, 4, 6, 12 1, 2, 3, 6, 9, 18 What is the largest common factor? 6

  11. USING LISTS TO FIND GCF Find the GCF of 24 and 32. Use your divisibility rules to find the factors. 24: 32: 1, 2, 3, 4, 6, 8, 12, 24 1, 2, 4, 8, 16, 32 What is the largest common factor? 8

  12. PROBLEM SOLVING Kaja has 32 fir, 48 cedar, and 80 maple tree seedlings to sell at the annual Agriculture Fair. He wants to display them in rows with the same number of seedlings in each row with no mixing of rows. • What is the greatest number of seedlings that he could put in each row? • How many rows of each tree seedlings will there be? GCF = 16 Fir: 2, cedar: 3, maple: 5

  13. EXTENTION • Is there a way to have all the numbers circled on the game board? • What is the fewest number of factors that can be circled in a finished game? • What is the worst first move? • Why?

  14. What are the factors? 6 x 7 = 42 6 & 7 7 x 9 = 63 7 & 9 8 x 6 = 48 8 & 6 4 & 9 4 x 9 = 36

  15. What are the factors? 6 x 7 = 42 6 & 7 7 x 9 = 63 7 & 9 8 x 6 = 48 8 & 6 4 & 9 4 x 9 = 36

  16. What are the factors? 42 ÷ 7 = 6 7 63 ÷ 9 = 7 9 48 ÷ 6 = 8 6 9 36 ÷ 9 = 4

  17. PROBLEM SUMMARY What do you think is a good strategy for playing the Factor Game? Here are Cam’s and Liza’s strategies: CAM: “Bigger numbers must have more factors than smaller number, so I always try to circle small numbers so my opponent won’t get very many points.” LIZA: “Some numbers don’t have any factors except one and themselves. I try to choose those numbers so my opponent only gets one point. Do you think their strategies are good ones? Why?

  18. ACE • WRITE DOWN THIS ASSIGNMENT IN YOUR ASSIGNMENT BOOK: • ACE PROBLEMS 1-7 INVESTIGATION 1.1 PAGE 14

  19. SUM IT UP Sum It Up!

  20. ACE YOU MAY BEGIN YOUR CLASSWORK

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