Note: Please Do Not Work Ahead of the Group

Modeling Real World Data with Trig Functions NOTE: PLEASE DO NOT WORK AHEAD OF THE GROUP

1.) Open the Ferris Wheel Simulation in Geometer’s Sketchpad from my Web Page

2.) Look at the top left for the point C(-20, 23). What does this point represent?

3.) Click What does Angle (C) measure?

4.) Click What do the coordinates of S measure ?

5.) Stop the ferris wheel (re-click ) 6.) Click outside the sketch to un-highlight the things in pink 7.) Click and drag the line containing point S to the y-axis 8.) Move student B to the highest point above the ground. How do you know that this is the highest point ?

What are the coordinates of this point?

9.) Move student B to the lowest point above the ground. How do you know that this is the lowest point ?

What are the coordinates of this point?

10.) Select Display/Erase Traces 11.) What does S: (0, 3) represent in terms of the ferris wheel? Modeling Real World Data with Trig Functions

12.) Click . Stop the curve when the time is under 20 seconds. Paste a picture of your graph below. What is the height of student B above the ground? _____. What does that point represent?

13.) Click . Stop the curve when the time is under 40 seconds. Paste a picture of your graph below. What is the height of student B above the ground? _____. What does that point represent?

14.) Stop the animation before 60 seconds and paste a picture of the graph below.

15.) Amplitude = ______. Explain what the amplitude of the graph represents in your own words.

16.) Period = ______. Explain what the period of the graph represents in your own words.

17.) Click . Start and stop the ferris wheel about 20 times to record about 20 ordered pairs for point S. Record your points below. Modeling Real World Data with Trig Functions