Roller Coaster Polynomials

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Objective

SWBAT demonstrate their knowledge of polynomials functions in a real world context.

Big Idea

Working in teams, students use their polynomial knowledge to analyze and describe various roller coasters.

Lesson Author

Tiffany Dawdy

Phoenix, AZ

Grade Level

Twelfth grade

Subjects

Math

degree of a polynomial

roots (Algebra)

end behavior (polynomials)

polynomial functions

Precalculus and Calculus

Decreasing function

increasing function

Standards

HSA-SSE.B.3a

Factor a quadratic expression to reveal the zeros of the function it defines.

HSA-APR.A

Perform arithmetic operations on polynomials.

HSA-APR.B

Understand the relationship between zeros and factors of polynomials.

HSA-APR.B.2

Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x - a is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x).

HSA-APR.B.3

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

HSF-IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.*

HSF-IF.C.7c

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

Homework

1 minutes

Students should finish their test reviews for homework tonight. Tomorrow in class students will have some time to complete their Roller Coaster Polynomials assessment and then we will spend the rest of the class period reviewing for the test.