Learning target: students can write equations for inverse functions
First we start out reviewing composition of functions f(g(x)). I've never taught inverses this way before so we'll see.
This lesson is partially a tribute to a personal hero of mine.
after they've been working for a while we take a break by watching this video, its about 12 minutes and not about math, but students are due for something novel in class, they've been grinding the wheel for a while, so we watch this:
Learning target: students can find angles using arc-functions.
Supporting learning target: students can explain the difference between inverse-trig functions and arc-trig functions
Activity: We will put a new entry in our periodic functions table of contents: trig identities. Then I will have students create a new page, titles trig inverse and arc-functions. Here are the directions:
1.)Pick a partner next to you.
2.) trade notebooks.
3.) Your partner will neatly draw 4 right triangles on your page, and you will draw 4 on theirs.
4.) When you are done hand the notebook back to the owner.
5.) Correctly identify the angles of the triangles drawn by only measuring the side lengths, finding a trig ratio, and referencing the trig values chart.
(use any of the three trig functions per triangle, but do at least one of each overall)
Handout:
Test for understanding, half page, students do the front 4 triangles and high challenge students can practice #5 & #6 on the back.