Modeling Periodic Behavior Module 6

Modeling Periodic Behavior Module 6

Modeling periodic behavior involves using trigonometric functions to represent real-world phenomena that repeat at regular intervals, such as the height of a Ferris wheel, tides, or sound waves.

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The Mathematics Vision Project
Scott Hendrickson, Joleigh Honey, Barbara Kuehl, Travis Lemon, Janet Sutorius
© 2018 Mathematics Vision Project
Original work © 2013 in partnership with the Utah State Office of Education
This work is licensed under the Creative Commons Attribution CC BY 4.0
MODULE 6
Modeling Periodic
Behavior
SECONDARY
MATH THREE
An Integrated Approach
Standard Teacher Notes
SECONDARY MATH III // MODULE 6
MODELING PERIODIC BEHAVIOR
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
MODULE 6 - TABLE OF CONTENTS
MODELING PERIODIC BEHAVIOR
6.1 George W. Ferris’ Day Off – A Develop Understanding Task
Using reference triangles, right triangle trigonometry and the symmetry of a circle to find the
y-coordinates of points on a circular path (F.TF.5)
READY, SET, GO Homework: Modeling Periodic Behavior 6.1
6.2 “Sine” Language – A Solidify Understanding Task
Using reference triangles, right triangle trigonometry, angular speed and the symmetry of a
circle to find the y-coordinates of points on a circular path at given instances in time—an
introduction to the circular trigonometric functions (F.TF.5)
READY, SET, GO Homework: Modeling Periodic Behavior 6.2
6.3 More “Sine” Language – A Solidify Understanding Task
Extending the definition of sine from a right triangle trigonometric ratio to a function of an
angle of rotation (F.TF.2)
READY, SET, GO Homework: Modeling Periodic Behavior 6.3
6.4 More Ferris Wheels – A Solidify Understanding Task
Graphing a sine function to model circular motion and relating features of the graph to the
parameters of the function (F.TF.5, F.IF.4, F.BF.3)
READY, SET, GO Homework: Modeling Periodic Behavior 6.4
6.5 Moving Shadows – A Practice Understanding Task
Extending the definition of the cosine from a right triangle trigonometric ratio to a function of
an angle of rotation (F.TF.2, F.TF.5)
READY, SET, GO Homework: Modeling Periodic Behavior 6.5
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