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11&12: Proportional Reasoning
Building to More Complex Relationships
Shirley DalrympleLiisa SuurtammKaren Timson
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Welcome
• Should we do an around the room – hi my name is…. Before we do the beach ball?
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Beach Ball Introductions– In small groups, pass the
beach ball to each other.
– When you catch the beach ball, answer the question that is closest to your left thumb.
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Group Norms• All ideas will be listened to carefully and responded to respectfully
• Everyone will have a voice
• All questions and comments will be presented with the intent to move the collective forward
• Clarifying questions are welcome
• Everyone will engage fully in the moment
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Session Goals• Explore the Big Ideas of Proportional
Reasoning
• Make connections between course expectations to the Big Ideas of Proportional Reasoning
• Practice matching problems involving proportional reasoning to the Big Ideas
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Where is proportional reasoning?
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Let’s do some math….• Select one of the problems on the page
and complete it.
• Once you have completed the problem consider:
– In what ways did you, or could you have, used proportional reasoning when solving the problem
– What big idea(s) might be addressed with the problem you chose?
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Standing conversations….
• Find someone in the room who completed the same problem as you.
• Have a conversation about what proportional reasoning was involved and which big idea(s) you think the problem might connect to.
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Matching Expectations to Big Ideas
• Choose one of the sets of expectations that you are familiar with
• Work as a team to determine which Big Idea each expectation connects to (try to narrow it down to one)
• Place each expectation on the chart paper with the Big Idea you connected it to
MEL 3EMBF 3C
MEL 4EMAP 4C
MCT 4CMHF 4U
MCV 4UMDM 4U
MCR 3UMCF 3M
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Gallery Walk
Take a few minutes to walk around and look at the expectations under each Big Idea and consider whether you agree or disagree with their placement.
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Thoughts…• Were some Big Ideas easier to match to
than others? Which ones?
• Do some courses seem to have more proportional reasoning than others? Which ones?
• Was there anything that stood out for you during this activity?
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Inside/Outside CircleRespond to one of the following with each partner:
• “I think the value of focusing on the same Big Ideas in proportional reasoning from K – 12 might be that….”
• Did you have any “aha” moments today, or were there ideas that challenged your thinking? If so, what?
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Letters from Camppp
Shirley will find something for here….