Reflection: Perseverance The Tortoise and the Hare Project Day 4 - Section 2: Non-Linear Models


This lesson challenged my students in ways I wasn't expecting.  They were more afraid to explore the functions than I expected and kind of froze when I presented the task.  I ended up modeling the first group of equations.  I graphed the very first equation for the tortoise on my graphing emulator and then talked through its shape in relationship to the tortoise’s race.  We then did the other tortoise equations as a guided practice.  I was pleased that once they saw and worked on the tortoise, they were able to complete the hare and rat.  I have included the work from several students (1, 2, and 3).  Notice that the tortoise solutions are similar while the hare and rat have more varied explanations.  I am truly pleased at the good thinking at occurred by the end of class.  I think this is an excellent example of where off the cuff scaffolding can really make a lesson.

  Perseverance: Getting Students to Explore Mathematics
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The Tortoise and the Hare Project Day 4

Unit 2: Modeling with Functions
Lesson 15 of 24

Objective: Students will be able to determine and justify appropriate non-linear models to fit a scenario.

Big Idea: Will the tortoise win again? Students will not only find out but write a mathematical story about it.

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