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Enrichment Activity: Creating the Cycloid Curve

Coles World of Mathematics
12 Followers
Grade Levels
11th - 12th
Subjects
Standards
Resource Type
Formats Included
  • PDF
Coles World of Mathematics
12 Followers

Description

This activity is a hands on activity where students create the Cycloid Curve, the Prolate Cycloid Curve, and the Curtate Cycloid Curve. Creating all three curves on the same piece of paper allows the students an opportunity to compare and contract the three curves. This activity would be used as an enrichment activity for a pre-calculus class that is examining functions.
Total Pages
Answer Key
Included
Teaching Duration
50 minutes
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Standards

to see state-specific standards (only available in the US).
Identify the effect on the graph of replacing 𝘧(𝘹) by 𝘧(𝘹) + 𝘬, 𝘬 𝘧(𝘹), 𝘧(𝘬𝘹), and 𝘧(𝘹 + 𝘬) for specific values of 𝘬 (both positive and negative); find the value of 𝘬 given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.

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