Modeling Trig graphs, City Temperatures Project, Answer Keys

Modeling Trig graphs, City Temperatures Project, Answer Keys
Modeling Trig graphs, City Temperatures Project, Answer Keys
Modeling Trig graphs, City Temperatures Project, Answer Keys
Modeling Trig graphs, City Temperatures Project, Answer Keys
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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 Changes:

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
Total Pages
0 pages
Answer Key
Included
Teaching Duration
2 hours
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$6.00
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