Math Explicit Linear Functions

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Presentation transcript:

Math Explicit Linear Functions Scalable Math Design Math Explicit Linear Functions

A Simple Prompt… Prompt for Linear Functions Discussion, and more todaysmeet SGD chat What do you notice? What questions do you have? What could you do with this? 10 minutes? Full class? All week?

Linear Functions Change initial value Change slope Write a function Make the simulation match a given function Other?

Graphing Vertical vs horizontal motion Distance vs time Height vs time Where is the origin? What happened in the last iteration? Other ideas? Distance vs time: airplane travel Height vs time: hot air balloon bragging rights

The Sky’s the Limit Piecewise functions Groundwork has been laid for understanding parametric equations… Height depends on time Distance depends on time Write these two functions of time...

Remember Guided Discovery! Shift the dynamic to move beyond grit and perseverance. Toward student ownership and intrinsic motivation Good news! Scalable Game Design helps shift the focus! Use Guided Discovery Scaffolding!

Scaffolding in Guided Discovery Discussions with other students Teacher poses questions Teacher generally does not provide answers The exception being when students have a technical question and/or have already done the thinking, planning and problem solving. Empower students to rise to challenges faced

Design an Activity Sketch out an outline for SGD math activity: (Skeleton) Guidelines: Stick with linear relationships (for now) Use a prompt: mine or create your own 5 minutes Prepare to share, explain clearly, use detail

Share Ideas, Get Feedback and Advice Groups of 3 (or 4) Exchange outlines with one teammate 5 minutes Provide 3 commendations Provide 3 concerns or questions Repeat with the other teammate.

Share Key Ideas Choose 2-3 key (brief) take-aways to share: Briefly describe important aspects of your activity OR As a team, describe some similarities and differences among your activities Describe something you’re excited to try