Ses8 Mariospizzaproblem Clare

Overview of Session 8 • Sharing the goals of the session • Working on proportionality: – Thinking Revisiting ideas on proportionality • Reflecting on the session about proportionality – Mario’s Pizza House Meal Plan

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Goals of the Session Goals – Identifying characteristics of proportionality – Distinguishing between proportional and non proportional situations – Providing examples and non-examples of proportional situations – Building connections among different types of representations (contexts, tables, graphs, equations)

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Thinking About Proportionality: What makes a situation proportional? • How would you define/characterize proportionality? • What are some mathematical topics in which proportionality occurs? • Can you give some examples and nonexamples of proportional situations? • What difficulties might students have when working on proportionality?

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Mario’s Pizza House Meal Plans Describing the plans: Imagine that you have been asked to make a flyer to describe the three plans. How would you describe each plan in a few words or sentences? Determining the cost of meals: Use different representations (tables, graphs, etc…) that could help you determine the cost of any number of meals purchased on each plan and explain your reasoning. Use your analysis of the graphs to determine which plan offers the best value.

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Mario’s Pizza House Meal Plans 108 104 100 96 92 88 84 80 76 72 68 64 60 56 52

Total 48 cost ($) 44 40 36 32 28 24 20 16 12 8 4 0 0

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Plan A

Plan B

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Customers Plan C

Identifying Characteristics of Proportionality • How are the three graphs similar or different? • How do you see these similarities and differences in the other representations that you created? • Can you think of any other examples and non-examples of proportional situations?

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Revisiting Ideas on Proportionality • How would you define/characterize proportionality? • What are some mathematical topics in which proportionality occurs? • Can you give some examples and nonexamples of proportional situations? • What difficulties might students have when working on proportionality?

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Reflection on the Session & An Assignment • What stood out for you today? • Pick a task that we worked on together during one of our sessions and collect student work on it. You will receive an email with further directions.

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