This is a bundles lesson covering how to determine the sinusoidal equation from specific points. Years ago, I used an online project called "If Only Nice Weather Could Last Year Round". However when I couldn't find it recently I created this one from scratch for use in my trigonometry class.
This lesson starts with an activity the students complete on the TI-83/84 graphing calculator. Here's an example for determining the amplitude of a graph from the equation:
How does the "A" value change the graph?
1. Use a domain of [-2pi, 2pi] and a range of [-5, 5]
Y1= sin (X) (make darker)
Y2= 2 sin (X)
Y3= 5 sin (X)
Y4= 0. 5 sin (X)
What stays the Same:
At the end of the activity, the students can graph a function written in the form: y = A sin(B(X-C))+D
Next, we have two versions of a quiz covering the basic ideas behind graphing the since and cosine functions as well as the secant and cosecant functions.
Finally, I have two copies of the cumulating project. One is written with specific instruction to walk them through the project; the other one is without the instructions. Both have project guidelines and are very specific. The project is a lot of fun and the students like the freedom of where to visit.
See more unit lessons (specifically in Algebra II, AP Calculus, AP Statistics) at my store.
In-Depth No Prep Math Lessons