Table of Contents
Date(s)
Title/Topic
Page #s
10/26
Unit 2 Reflection/Corrections
Unit 3: Trigonometric Functions
3.1 Ferris Wheel
52
53
54-55
Unit 2 Reflection
look over your Unit 2 Tests
and write down comments/
reflections/corrections
p. 52
Unit3:TrigonometricFunctions
Set up p. 54 for HW and p. 55
for Cornell notes
3.1 Ferris Wheel
HW
54
55
p. 7 WordsWorthKnowing
periodic function
a function that repeats its values in
regular intervals or periods
George Ferris built the first
Ferris wheel in 1893 for the
World’s Columbian
Exhibition in Chicago. It
had 30 passenger cars,
was 264 feet tall, and
rotated once every
9 minutes when all the
cars were loaded.
The ride cost $0.50.
264 feet tall
rotated once every 9 minutes
1.
Create a sketch of the height of a passenger car on the original Ferris
wheel as that car rotates around the wheel 4 times. List any assumptions
that you are making as you create your model.
2.
What type of function would best model this situation?
Exercises 1–5
1. Suppose a Ferris wheel has a diameter of 150feet. From your viewpoint, the Ferris wheel is rotating counterclockwise. We will refer to a rotation through a full 360°as a
“turn”.
a. Create a sketch of the height of a car that starts at the bottom of the wheel for two turns.
b. Explain how the features of your graph relate to this situation.
1. Suppose a Ferris wheel has a diameter of 150feet. From your viewpoint, the Ferris wheel is rotating counterclockwise.
c. Your friends board the Ferris wheel, and the ride continues boarding passengers. Their car is in the three o’clock position when the ride begins. Create a sketch of the height of
your friends’ car for two turns.
d. Explain how the features of your graph relate to this situation.
2. How would your sketch change if the diameter of the wheel changed?
3. If you translated the sketch of your graph down by the radius of the wheel, what would the -axis represent in this situation?
4. How could we create a more precise sketch?
do at the bottom of p. 55
Summary
Why is the Ferris wheel
height a periodic function?