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Relating Number Sequences to Graphs

Relating Number Sequences to Graphs. October 26, 2007 Ms. Manaktola. Meet Homer Simpson. Homer’s neighbour’s name is Ned Flanders. Ned is going to Florida for a week, and he has hired Homer to water his plants. The Options. Homer has a choice. He can: Receive $10 each day for payment, OR

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Relating Number Sequences to Graphs

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  1. Relating Number Sequences to Graphs October 26, 2007 Ms. Manaktola

  2. Meet Homer Simpson • Homer’s neighbour’s name is Ned Flanders. • Ned is going to Florida for a week, and he has hired Homer to water his plants.

  3. The Options • Homer has a choice. He can: • Receive $10 each day for payment, OR • Receive $5 on the first day, $10 on the second day, $15 on the third day, and so on. Which option will give Homer the greatest total earnings?

  4. Comparing the Options • Let’s use tables to compare the two options: • OPTION 1: $10 each day • Can you describe the pattern using words or an algebraic expression?

  5. Comparing the Options • OPTION 2: $5 on the 1st day, $10 on the 2nd day, $15 on the 3rd day, and so on. • Can you describe the pattern using words or an algebraic expression?

  6. How Can We Compare the Two Options Easily?

  7. Try It Yourself! • Your task: • In your groups, you will be given a problem.You must: • Use a table to organize the information • Describe the pattern using words and algebraic expressions • Graph the patterns using a scatter plot

  8. Group Roles • Assign roles for each of the group members: • Recorder(s) for • Table • Algebraic Expression • Graph • Presenter • Facilitator/Timer

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