ALGII.4 Polynomials and Rational Functions

Beginning Lesson

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Going Once, Going Twice

How much should you bid in an auction? Students create polynomial functions to model the expected value of a given bid and determine the optimal amount someone should bid in any auction.

Topic: Building Functions (BF), Interpreting Functions (IF)

Middle Lesson

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Siren Song

Does the same sound always sound the same? Students come up with equations in several variables to explore the Doppler Effect, which explains how sound from a moving object gets distorted.

Topic: Creating Equations (CED)

End Lesson

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Sofa Away From Me

How far away from the TV should you sit? Students use right triangle trigonometry and a rational function to explore the percent of your visual field that is occupied by the area of a television.

Topic: Building Functions (BF), Creating Equations (CED), Interpreting Functions (IF), Reasoning with Equations and Inequalities (REI), Similarity, Right Triangles, and Trigonometry (SRT)