Reviewed similarity and similar triangles using the Pythagorean Theorem and indirect measurement.
Notes from board
Homework
watch and take notes on this video : direct link
Learned about self similarity in right triangles formed by the altitude which we explored with a hands on activity involving cutting and rearranging triangles. We then applied the similarity within right triangles to disassemble and rearrange right triangles and set up proportions or scale factors to find missing lengths.
Introduced trigonometry unit with a fun video and looking at some examples of wave behavior involving pendulum and springs and how they relate to changing angles in a right triangle. Defined the 3 major trig functions (sine/cosine/tangent) and identified trig ratios in right triangles with all 3 sides given.
Notes from board
Homework
#1-12 on this handout
first Q3 test: Monday
Resources
similarity within right triangles, concept: link
several sim. within right triangles examples worked out: link1 link2
multiple part sim. right triangles problem: link
basics of SohCahToa: link
more examples: link
Thursday/Friday
Warm up involved identifying trig ratios, but where the Pythagorean Theorem needed to be applied first. Looked at trig problems without a diagram but with a given ratio, which can be 'unpacked' into a diagram which then leads to finding other trig ratios using the Pythagorean Theorem. Applied trig for the first time with an angle of elevation problem, using it to find a missing side length. Did some more of these, including some in-class practice.
Notes from board
Homework
#1-4 (all), and #5-15 (odd) on new handout (blank copy) (ANSWERS HERE)
be sure calculator is in DEGREE MODE: online calc here
test Monday
Resources
See all of Tues/Thurs resources above, plus these:
great video showing how to find missing sides: link (First half)
finding missing sides and then perimeter (made by me!) link
some Pythagorean examples: link link2