Piecewise Functions Project | Project Based Learning | Distance Learning

Grade Levels
9th - 12th
Standards
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Description

Roller Coaster Engineer: Students will create a roller coaster that demonstrates their knowledge and understanding of the following skills:

• Graph a continuous function that represents a roller coaster using parent functions. (Editable for teacher to choose which parent functions)

• Write the equation for each section of the roller coaster, using a transformational approach.

• Write a piecewise-defined function to represent the entire roller coaster.

• Determine the height of the roller coaster at a specified time.

• Identify function attributes: Domain and Range, Local Minima and Maxima, and Intervals of Increase and Decrease

100% editable project handout and rubric included!

Check out the preview to see what skills are covered and more details of this fun project!!!

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Total Pages
7 pages
Answer Key
Rubric only
Teaching Duration
3 days
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Standards

to see state-specific standards (only available in the US).
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If 𝘧 is a function and 𝘹 is an element of its domain, then 𝘧(𝘹) denotes the output of 𝘧 corresponding to the input 𝘹. The graph of 𝘧 is the graph of the equation 𝘺 = 𝘧(𝘹).

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