Function Matching – Down the Desmos Rabbit Hole!

Before our break I created a set of challenges for students to investigate translations of different functions. I had a few goals in mind:

  • Introduce a few basic functions that we will work with in this unit (square root, rational, cubic, quadratic).
  • See how certain points on the function are translated.
  • How does affecting the values in the equation affect the graph of a variety of functions?
  • Use function notation to represent translations.


Start the Challenge

How far down the rabbit hole can you go

First – Learn about the square root function & see how a function is translated vertically.

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We had a class discussion on which points they picked and how those points changed in the function f(x) + 3.

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They are then led down a Desmos Trail to complete a few mini-challenges trying their knowledge of using function notation and vertical translations matching the “home” function to the translated one. Each challenge then links to the next!

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We did the same for challenge 2, the basic rational function, and horizontal translations. The handout served as our class note.

After our discussions the Desmos Trail continues, starting at challenge 3 until challenge 9. Each testing our knowledge of equations and translations. You may also see I threw in a few reflections in there too!

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Here are a few students working away on the challenges.



Direct Links:

Big thanks to Mary Bourassa for tips and fixes and to Michael Fenton for creating Match my Parabola and later pointing me to his own transformation challenges. Hail #MTBOS

Next up in our class — Going down the rabbit hole a little further…..Stretches and Compressions Challenge

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