We've just started Unit 2 in Pre-AP Algebra 2. We've completed the lessons on the composition of functions and have moved onto looking at transformations as composition of functions. There weren't lessons for Concept 2.2 on Transforming Functions.
The first two learning objectives focus on how different compositions of functions cause different transformations. I decided to make a Desmos activity that would address those LOs. Here's the link for Transformations as Composition of Functions.
Then we moved our focus to representing a sequence of transformations graphically and paying attention to the order that these transformations needed to be done. We did this with another Desmos activity that I edited from someone else. This activity was Transforming Functions-Shifting and Reflecting. We mainly did this together since there were a lot of questions and students were still building their understanding. Next year, I plan to do Transforming Functions first, and then will move onto the Shifting and Reflecting activity.
After doing the above Desmos activities, I assigned "Talking Transformations and a New Origin" by Julie Reulbach. The worksheet can be found on her i speak math blog here. I also sent them home with notes on the order that transformations need to be performed from MathBitsNotebook Algebra 2.
In our next class I'll challenge students with the Transformations Word Search by Sarah Carter that you can find on her blog Math Equals Love. One word of warning, the pdf file has a transformation of -4f(x), that doesn't actually spell a word with the 4 letters. All of the rest of the transformations do spell common words.
If we have time, I'll also have students work on a matching activity that asks them to match a graph with a function and a list of transformations. The document with the card matching game can be found on this blog post: Partially Derivative.
At the end of Unit 2, the LO for 2.3.3 about restricting a domain of a function so that it is invertible. I found a Khan Academy lesson that covers this, so I plan to use that lesson with my students. It's from the Precalculus curriculum and is titled: Restricting Domains of Functions to Make them Invertible.
Update: I made a set of notes for students to practice restricting domains of functions to make them invertible. The link to that document is here. Since I included a couple of absolute value graphs, students were reminded of how to convert absolute value functions into a piecewise function to be able to find the inverse function.
