HSF-TF.B.5
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*
75 Lessons
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Modeling Average Temperature with TrigonometryAlgebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:Local temperature averages are modeled by a cosine function in this very cool, or exceptionally hot, lesson.
Playing with the NumbersAlgebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:Students transform equations and graphs of trig functions to earn points and win the game!
More Modeling with Periodic FunctionsAlgebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:Periodic phenomena are all around us and mathematical models help us to understand them.
Riding a Ferris Wheel - Day 1 of 212th Grade Math» Unit:Trigonometric Functions
12th Grade Math
» Unit:
Trigonometric Functions
Big Idea:Use a Ferris wheel scenario to model sinusoidal functions.
Introduction to the Ferris Wheel Problem12th Grade Math» Unit:Ferris Wheels
12th Grade Math
» Unit:
Ferris Wheels
Big Idea:You are riding a Ferris wheel near the Golden Gate Bridge. When will you be high enough to see the full view? Students attempt to answer this question using some knowledge of right triangles.
The Trigonometric FunctionsAlgebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:The unit circle allows us to extend the trigonometric functions beyond the confines of a right triangle.
Ferris Wheel (Graph) Symmetries12th Grade Math» Unit:Ferris Wheels
12th Grade Math
» Unit:
Ferris Wheels
Big Idea:You are sitting on a Ferris wheel. Who is directly across from you? Below you? Diagonally across from you? Use a representation of the unit circle to make generalizations.
Generalizing the Sine FunctionAlgebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:Based on their modeling experience, the general sine function is quick and easy to define.
Practicing with Sine and CosineAlgebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:Practice makes perfect! Students gain confidence relating the graph to the equation by means of their key features.
Model Trigonometry with a Ferris Wheel Day 2 of 2Algebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:Take your students to the county fair with this trig function modeling lesson.
Weather Ups and DownsAlgebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:This lesson is awesome because it gives your students a real world connection to periodicity using weather data. They get to fit a sine and/or cosine graph to actual data!
Period and AmplitudeAlgebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:What makes the graph of a trig function unique? Find out in this lesson.
When Will We Ever Use ThisAlgebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:Want a good answer to âWhen will we ever use this?â This lesson gives students an opportunity to explore applications of inverse trig functions.
Tangent ModelingAlgebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:This lesson is awesome because it gives your students a connection to tangent periodicity using a real-world example. They generate data and create a tangent equation that fits it.
Trigonometric Functions Review Day 1Algebra II» Unit:Trigonometric Functions
Algebra II
» Unit:
Trigonometric Functions
Big Idea:This lesson will train students HOW to study mathematics as well as help them review.
HSF-TF.B.5
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*
HSF-TF.B.6
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
HSF-TF.B.7
(+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.â