PLEASE NOTE: THE PREVIEW VERSION OF THIS PRODUCT IS THE ACTUAL "STUDENT VERSION" AND DOES NOT INCLUDE ANY OF THE ANSWERS TO THE PROBLEMS. THE MAIN PRODUCT VERSION INCLUDES DETAILED ANSWERS TO ALL OF THE PROBLEMS FOR THE PROJECT.

This project activity involves the calculation, graphing and coloring of inverse functions including linear, quadratic, radical (square root and cube root) and cubic polynomial types. I have my Algebra 2, Math 3 and Precalculus students complete this project toward the end of the unit on function inverses.

A total of five (5) functions are provided that require students to calculate and graph the inverses and color the overall, common function/equation graph. A series of calculation sheets are used by the students to calculate the inverses of certain functions. Once these calculations are complete, the students will list them on the overall original and inverse function/equation summary table. This is followed by the completion of twelve (12) "x-y" coordinate point tables by the students to facilitate their graphing of each of the original and inverse functions. A minimum of four (4) "x-y" coordinate points are required for the graphing part of the project. These points are then plotted for each of the original and inverse equations and a smooth curve is to be drawn on the furnished graph grid for each function/equation. Finally the various sections formed by the intersecting lines of the plotted graphs are to be colored to provide an interesting "stained glass effect" final product.

This activity is organized to be completed by students working individually; but teachers might want students to work in pairs or teams as desired to complete the project in a more timely manner. It usually takes two, 1 hour class periods to completely finish all parts of the activity; but the calculation and basic graphing parts of it can be completed in 1 class period, if desired, and the graph grid coloring part completed in a 2nd class period or assigned as homework.

This activity package is an MS Word file and includes the following:

• 6- Part Activity Description Section that includes:
  • General Introduction and Basic Concepts on Inverses
  • Inverse Function Characteristics
  • Basic Steps to Solve Inverse Functions or Equations
  • Basic Steps to Graph Inverse Functions or Equations
  • Specific Guidelines
  • Grading Rubric

• Appendix A - Student Worksheets
• Appendix B - Graph Grid
• Appendix C - Grading Rubric
• Appendix D - Teacher Answer Key Material including:
  • All completed calculation sheets with answers,
  • Completed function/equation summary table,
  • Completed x-y coordinate point tables, and
  • Graphs (uncolored and colored)

In addition two (2) completed, sample, colored graph grid examples are also included at the end of the activity package. There are 30 total pages in the package. The native MS Word file is included in the event the teacher desires to make any modifications to the activity to suit her or his classroom purposes.

Other MS PPT products for 6th Grade, 7th Grade, 8th Grade, Math 1, Math 2, Math 3, Algebra 1, Algebra 2, Geometry and PreCalculus curriculum topics can be reviewed and purchased under my TpT page titled: "Priceless Math".