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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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