MathIsSpechtacular

In this activity students will be creating four different functions in which they will find their derivatives, determine all critical points, extrema, intervals of increase and decrease and intervals of concavity. Students will also be asked to find a graph of the original function. The activity can be downloaded as a Word document or a Google Slide (see alternate listing) and can easily be used as an online activity, or, can be printed, collected and used as a classroom matching game using all

Discover the concept of end behavior by using a calculator to plot the graphs of various polynomial functions and look at patterns of odd/even exponents and positive/negative coefficients.

Students are to use a graphing calculator, or graph a variety of functions by hand. On one graph they will graph different parent function and on the graph next to it, they will graph a transformation of the parent function. Students will then summarize the differences in each graph using vocabulary like intercept, shift, rotated, flipped, ect. in order for them to discover what transformations occur and even guess WHY they occur based on the changes within the function's equation itself.

This is a two-part project. There is a sample rubric attached as well as a sample of student work. Part 1: Students will graph a piecewise function with 20 intervals using constant, linear, absolute value, and quadratic functions. Once graphed, the picture will look like an animal that they can recognize if they completed it correctly. Part 2: Students will create their own piecewise function and the corresponding graph in order to create their own picture. *You can allow the use of graphi