Wanted to share what occurred in my math class when I challenged the definition of a "test".
Step 1: Give truly open ended questions:
1) Illustrate the knowledge of graphing a trigonometric function by using the function, and its first and second derivative. The function, the first derivative, and the second derivative, when combined, must use at least three different trigonometric functions.
2) Illustrate the knowledge of displacement and distance covered on a closed interval, using a trigonometric equation for distance. The function, the first derivative, and the second derivative, when combined, must use at least two different trigonometric functions.
3) Show a real life application of an angle changing with respect to time. The use of a video, appropriate measurements and illustrated work must be shown. You must solve for the exact change of the angle at a certain time.Step 2:
Allow students to use any interest to demonstrate their knowledge
Ensure that the students truly have demonstrated their knowledge about the outcome.