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.
First – Learn about the square root function & see how a function is translated vertically.
We had a class discussion on which points they picked and how those points changed in the function f(x) + 3.
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!
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!
Here are a few students working away on the challenges.
- Challenge 1 | miniA | miniB | — Square Root Function
- Challenge 2 | miniA | miniB | — Rational Function
- Challenge 3 – Cubic Function
- Challenge 4
- Challenge 5
- Challenge 6
- Challenge 7
- Challenge 8
- Challenge 9 – Multiple
Next up in our class — Going down the rabbit hole a little further…..Stretches and Compressions Challenge