A starting line and “target line” will be laid out on the floor of the activity area.  Students will program their robots to traverse the perimeter of a triangle of specified dimensions.  Students will have to use the Laws of Sines and Cosines to calculate the speed, direction, and travel time for each leg of their robot’s travel.  

Based on knowledge of the unit Circles, students see how sinusoids (Sine and coSine waves) get their shapes.

This assessment is used to check for understanding of standard NC.M4.AF.2.3  The assessment is open-ended and asks for students to provide understanding of amplitude, period, phase shift and vertical shift of sine and cosine graphs.  It also assesses writing equations of sine and cosine and sketching their graphs.

Description of cosine function with image, calculation of length of hypotenuse with known angle and adjacent side, calculation of angle with known adjacent and hypotenuse sides. Explanation of inverse cosine. Interactive fill in the blank of main points.

Description of trig functions with examples, table of equations, SOHCAHTOA acronym for help in recognizing functions, drag a

Course presentation showing relationship of sine and cosine of angles in a right triangle

In this demonstration, students experience the Doppler effect for sound. Students can compute the frequency change for motion along the line of sight (LOS) and determine the vector LOS component for motions not exactly on it. A buzzer, battery, bicycle wheel, string and a rubber ball and a timer are needed for the demonstration. The resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.