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Exploring Function Families & Transformations of Functions

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The problems and activities within this document are designed to assist students in achieving the following standards: HSF.LE.A.1 and HSF.BF.B.3 as well as the standards for mathematics practice. They are also designed to help the teacher assess the studentsâ€™ abilities when it comes to working with the ideas within the standards.

This document contains the following:
- guided notes on parent functions, their graphs, domains, and ranges
- homework and solutions for parent functions lesson
- an activity for exploring transformations of functions (what causes them to reflect, translate, stretch, etc)
- practice problems, homework problems, and solutions for transformations of the parent function graphs
- 4 applets that students can use to discover the effects changing certain values has on the graph of parent functions (these applets were created in excel & involve sliders so that they can be used efficiently to visualize the concepts; one focuses on quadratics, one focuses on absolute value, one that focuses on cubic functions, and one focuses on the sine function)

*Please note that unfortunately the applets do not work on Apple devices, but only work on PCs. : (

*Of course, you can rearrange the problems in this document for use as class work, homework, quizzes, tests, etc. as you wish!

While the PARCC assesses many of the mathematical practice standards, I aim to create many problems and activities that require students to apply the skills outlined in the performance level descriptors. I believe that the more students are exposed to such types of work, the more likely they are to develop a conceptual understanding of the concepts & of their own learning, succeed on the PARCC, and hence the more likely they are to be prepared for success in college and/or their future careers. If you happen to have any questions or concerns regarding anything your purchase (or download for free), please do not hesitate to contact me! Have a wonderful school year! :)

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10 pages
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