Ferris Wheel: Trigonometric Functions
Common Core State Standards
Math 
Math 
HSFBFA 
High School: Functions: Building Functions 
1b 
Build a function that models a relationship between two quantities Write a function that describes a relationship between two quantities. a. Determine an explicit expression, a recursive process, or steps for calculation from a context. 
Download Common Core State Standards (PDF 1.2 MB) 
Common Core State Standards
Math 
Math 
HSFBF 
High School: Functions: Building Functions 
B 
Build new functions from existing functions 
3 
Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. 
Download Common Core State Standards (PDF 1.2 MB) 
Common Core State Standards
Math 
Math 
HSFTF 
High School: Functions: Trigonometric Functions 
A 
Extend the domain of trigonometric functions using the unit circle 
1 
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. 
Download Common Core State Standards (PDF 1.2 MB) 

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Objective
 Model how a trigonometric function describes the relationship of a Ferris wheel rider as the wheel spins at a constant rate with relationship to the height of the rider from the ground.
 Discern the relationship between the given measure and the period, phase, offset and amplitude of a cosine function.
Length
15 min
1. Get Started
Download this CCSS Instructional Practice Guide
2. Observe this Lesson:
 Watch the lesson and take notes on your Guide.
 Identify which elements work and which don’t.
 Make a plan for how you would adjust the lesson to more fully align to the CCSS
 How does Ms. Utoft address students' misconceptions in this lesson?
3. Share Your Thoughts
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Teacher & School Info

Tiffany Utoft
 School Details
 Mountain View High School Loveland, CO
 Population
 1,270 students
 District Spending
 $7,873
Supporting Materials

Workbook for Ferris Wheel: Trigonometric Functions

Mathematics Design Collaborative Full Lesson

Debrief Video: Ferris Wheel: Trigonometric Functions

SAP Instructional Practice Guide for Math, High School