Musings about math education.
Andrew Busch
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Trigonometric Functions

Intro to Trig - Hula Hoop
Students measure the height of a fixed point on a hula hoop as it makes a complete revolution. Rather than using Sine = Opposite/Hypotenuse, we talk about sine being the vertical height in a unit circle.

This is a resource I got from an EMATHS Algebra 2 conference.
Boat on a River
Cute little 3 Act math opener to solving equations with basic trig functions (Sine, Cosine, Tangent). Link to videos here.
Exploring Trig Functions
Intro to Secant, Cosecant, and Cotangent by EMATHS
17c_exploring_trig_functions.docx
File Size: 19 kb
File Type: docx
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unit_circle_with_6_trig_functions.ggb
File Size: 7 kb
File Type: ggb
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Law of Sines and Cosines
Radian Cut Ups
17-4_radian_cut-ups.docx
File Size: 117 kb
File Type: docx
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Trig War
17-6_trig_war_directions.pptx
File Size: 866 kb
File Type: pptx
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17-6_trig_war_cards.docx
File Size: 176 kb
File Type: docx
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Track Problem
I took this problem from Emaths. The numbers in the original problem were meant to be easier but it caused confusion with my students who were in track. I've revised the problem to include lengths on standard high school and NCAA tracks. This is a great 2 or 3 day task: circles, trig, dimensional analysis, volume, composite shapes. I love it! Here's the link. 
Cosine Ferris Wheel
Taken from Math Assessment Project
17f_cosine_ferris_wheel_lesson_plan.docx
File Size: 69 kb
File Type: docx
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cosine_ferris_wheel.pptx
File Size: 425 kb
File Type: pptx
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17h_extra_practice_transforming_cosine_functions.docx
File Size: 109 kb
File Type: docx
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ferris_wheel_lesson_complete.pdf
File Size: 2607 kb
File Type: pdf
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carda_ferriswheel.pdf
File Size: 93 kb
File Type: pdf
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carda_ferriswheel.pdf
File Size: 93 kb
File Type: pdf
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cardb_ferriswheel.pdf
File Size: 50 kb
File Type: pdf
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cardc_ferriswheel.pdf
File Size: 101 kb
File Type: pdf
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Trig Transformations
Pendulums and
Spring with Weights

I used this in both my Algebra 2 and my Physics classes this year. In the middle column, students explore changes in amplitude, period, horizontal shift and vertical shift. Afterwards, student pick two files from the right-hand column and model the data using what they've learned.
Geogebra Files WITH Sliders
physics_-_ch25_wave_motion_001.ggb
File Size: 10 kb
File Type: ggb
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physics_-_ch25_wave_motion_002.ggb
File Size: 10 kb
File Type: ggb
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Geogebra Files WITHOUT Sliders
physics_-_ch25_wave_motion_1_spring_weight.ggb
File Size: 9 kb
File Type: ggb
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physics_-_ch25_wave_motion_500g_spring_weight_011.ggb
File Size: 10 kb
File Type: ggb
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physics_-_ch25_wave_motion_1000g_spring_weight_013.ggb
File Size: 10 kb
File Type: ggb
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physics_-_ch25_wave_motion_1500g_spring_weight_017.ggb
File Size: 10 kb
File Type: ggb
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