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Overview of Session 8Overview of Session 8

Sharing the goals of the session Working on proportionality:

Thinking about proportionality

Marios Pizza House Meal Plan

Revisiting ideas on proportionality

Reflecting on the session

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Goals of the SessionGoals of the Session

Goals

Identifying characteristics of proportionality

Distinguishing between proportional andnon proportional situations

Providing examples and non-examples ofproportional situations

Building connections among different types

of representations (contexts, tables, graphs,equations)

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MarioMarios Pizza House Meal Planss Pizza House Meal Plans

Describing the 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 wordsor sentences?

Determining the cost of meals:Determining the cost of meals: Use differentrepresentations (tables, graphs, etc) that couldhelp you determine the cost of any number ofmeals purchased on each plan and explain your

reasoning. Use your analysis of the graphs todetermine which plan offers the best value.

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Plan A Plan B Plan C

MarioMarios Pizza House Meal Planss Pizza House Meal Plans

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Identifying Characteristics ofIdentifying Characteristics ofProportionalityProportionality

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 ProportionalityRevisiting Ideas on Proportionality

How would you define/characterizeproportionality?

What are some mathematical topics in which

proportionality occurs?

Can you give some examples and non-

examples of proportional situations?

What difficulties might students have when

working on proportionality?

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Reflection on the Session & AnReflection on the Session & AnAssignmentAssignment

What stood out for you today?

Pick a task that we worked on

together during one of our sessionsand collect student work on it. You

will receive an email with further

directions.

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Definition/Characteristics: Mathematical topics in which

proportionality occurs:

Examples of proportional situations: Non-examples of proportional situations:

Proportionality

Difficulties that students might encounter as they solve proportionality

problems:

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Marios Pizza House Meal Plans

The graphs show data for three meal plans from Marios Pizza House. The plan is

based on the cost per customer.

A) 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?

B) Determining the cost of meals:

Use different representations (tables, graphs, etc) that could help youdetermine 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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MMSTLC, October 2008 (Cengiz & Charalambous) 2

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Marios Pizza House Meal Plans

MMSTLC, October 2008

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