Day 61: The 20-Minute Poster
We’ve spent a few days working on transformations on sinusoidal functions, particularly focusing on the horizontal transformations. So today, they need practice and time to discuss the process. So I use the “20 Minute Poster” activity. And I teach the transformation form for transformed trig functions: y = A trig [B(x – C)] + D rather than the form our book uses: y = A trig (Bx – C) + D for pedagogical reasons….I want the skills and concepts to transfer beyond trigonometric functions. Obviously, we then tackle what to do (and what is happening physically) when the equation is given in the “Bx – C” form.
Because of teaching AP Statistics over the years I have collected dice….lots and lots of different kinds of dice…and I love them all! I put the dice used for this activity in a small container (found the idea on Pinterest) so they don’t go flying around.
I use them in this activity by having each type of die represent some variable of the basic trig equation:
- Roll the 6 dice in the plastic pouch. Use the numbers in the following way to determine your random equation:
- Orange: even = sine, odd = cosine
- Green = A
- Red = sign of A: even = +, odd = –
- Blue = B = π/number shown
- Black = C = number
- +/- die: + phase shift, − phase shift
- Yellow = D
- Write the Random equation in the correct form using the letter values above.
- Identify the following and color-code (when possible) on your equation and graph.
- Interval length
- Phase displacement (for + cosine)
- Sinusoidal axis location
- Sketch three cycles of your created function. Show units on the two axes.
- Write the related cosine equation for a sine graph or sine equation for a cosine graph.
I have the time limit set because of what I learned about authentic and dynamic group work in a workshop on Complex Instruction that requires all kids working together to get a product completed.
As you can see, all hands are working and discussing their product. Such a great activity and my students walk away from the experience feeling confident in their skills.
In AP Stats today we did the Probability Review Stations. Seemed to go well and having the answers available really helps kids take ownership for their own understanding.