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After teaching the first 2 units on using and modifying NetLogo models
*  We think we would like students to be able to have students use the mathematics that they learn to create a model that simulates the ferris wheel situation (and be able to change the parameters of the ferris wheel).
???

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Algebra 2 Standard F-TF5:  Model  periodic phenomena with trigonometric functions.  Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
Algebra 2 Standard F-IF4:  Interpret functions that arise in applications in terms of the context.  For a functions 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.
Algebra 2 Standard F-IF7e:  Analyze functions using different representations.  ... Graph trigonometric functions, showing period, midline, and amplitude.

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Model found that illustrates the changes in in radius, speed, height of the ferris wheel and starting position

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Model found that illustrates the changes in in radius, speed, height of the ferris wheel and starting position

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Here is a Ferris Wheel Task - from NYC - which could been given to the students to model and solve using NetLogo.
http://schools.nyc.gov/NR/rdonlyres/AEB5DE75-B7FA-46B2-BBFD-DD1EFC666AF3/0/G11_Math_FerrisWheel_NL_052814.pdf

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https://www.youtube.com/watch?v=6FByEhgvOb8
Video from the riders perspective along with a graph of height vs time.

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Harvard Natural Sciences Lecture Demonstrations

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San Diego Reading Tutor for Young Children

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I created this video with the YouTube Video Editor (http://www.youtube.com/editor)

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possible introduction to the idea of the problem.

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Dan Meyer asked: How high will the red cart be off the ground at the end of the ride?? What is the first question that comes to your mind?

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Use - degree measurements converted to radians in order to create the unit circle.

Create/Modify:

Have turtle follow a circular path in order to plot sine, cosine and tangent graphs - model what happens to these graphs when the radius of the wheel is changed, the speed of the wheel is increased or decreased.

Extension:

Using the above program, modify to graph the other three basic trig functions.

Also create a way to show amplitude, frequency and period.