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Roller Coaster Polynomials

# Roller Coaster Polynomials

Unit 2: Polynomial Functions and Equations

Lesson 13 of 15

Lesson 13 of 15

## 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.

Standards:

Subject(s):

Math, degree of a polynomial, roots (Algebra), end behavior (polynomials), polynomial functions, Precalculus and Calculus, Decreasing function, increasing function, intercepts, Algebra 2, PreCalculus, zeros of functions, graphing polynomials, extrema

*41 minutes*

1

#### Homework

*1 min*

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.

#### Resources

*expand content*

Feedback (2)

Give Tiffany some feedback on this lesson

BetterLesson Community Feedback

Alex Romero:

*Great task! I just have a question about number 12. Why to find the height of the roller coaster at each t value would student have to use synthetic division? Are they trying to find out if the roller coaster goes back to the ground and thus that t value is a root? | 2 months ago | Reply*
Allison McConnell:

My students, who complain about everything, were super engaged. I even had one student tell me how cool this problem was and how much he liked it! I think it really helped their learning as well, especially framing it as a "test" format and grade. I'm really excited to see the results, and how this will affect their individual tests. Thank you thank you!

| one year ago | ReplyNo comments at this time. Add yours above.

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- UNIT 1: Basic Functions and Equations
- UNIT 2: Polynomial Functions and Equations
- UNIT 3: Rational Functions and Equations
- UNIT 4: Exponential Functions and Equations
- UNIT 5: Logarithmic Functions and Equations
- UNIT 6: Conic Sections
- UNIT 7: Rotations and Cyclical Functions
- UNIT 8: Cyclical Patterns and Periodic Functions
- UNIT 9: Trigonometric Equations
- UNIT 10: Matrices
- UNIT 11: Review
- UNIT 12: Fundamentals of Trigonometry

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- LESSON 1: Puzzling Polynomials and Quizzical Quadratics
- LESSON 2: Building Connections: Building Polynomials (Day 1 of 2)
- LESSON 3: Building Connections: Building Polynomials (Day 2 of 2)
- LESSON 4: Detailed Descriptions of our Puzzling Polynomials
- LESSON 5: Got zeros? Polynomials do! Multiplicity of Zeros (Day 1 of 3)
- LESSON 6: Got zeros? Polynomials do! Multiplicity of Zeros (Day 2 of 3)
- LESSON 7: Got zeros? Polynomials do! Multiplicity of Zeros (Day 3 of 3)
- LESSON 8: Long, Synthetic, and Square! Oh my! Polynomial Division
- LESSON 9: Rational Roots and Remainders: Important Theorems of Polynomials
- LESSON 10: Polynomials with Complexes… Complex Zeros that is!
- LESSON 11: Putting the Pieces of Polynomials Together (Day 1 of 2)
- LESSON 12: Putting the Pieces of Polynomials Together (Day 2 of 2)
- LESSON 13: Roller Coaster Polynomials
- LESSON 14: Test Review
- LESSON 15: Polynomials Unit Test

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