1. Math Explicit Linear Functions
Scalable Math Design
Math Explicit Linear Functions

2. 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?

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

4. 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

5. 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...

6. 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!

7. 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

8. 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

9. 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.

10. 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