Treasure Island

Use the same map for two different tasks given:

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Task 2

 

Modeling the Motion on Cosmo Clock 21

 

This is Cosmo Clock 21, the giant Ferris wheel located in Minato Mirai. Its height from the

ground is 112.5 meters and it has a rotating diameter of 100 meters. It finishes one rotation

in about 15 minutes.(Source)

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A student rides on Cosmo Clock 21 for two rounds. 

1.Graph this two round-ride modeling the relationship between the student’s height from

the ground with respect to time. 

2. Find a cosine function that is modeling your graph in the form of y=acos(b(x-c))+d.

Show every step explaining how you find a, b, c and d. Explain each variable, including

y and x, how you find them and their meaning in the context of this problem. 

3. At what times will the student be at 100 meter altitude from the ground? Explain.

4.Write a short reflection explaining the degree of your accuracy.

Justify the possible elements or factors making your model and your answer to question

3 inaccurate.

Full solution steps

Some student answers:

y = 50cos((2π / 15) (t - 15/2 )) + 62.5 {0 <= t <= 30 }

y=-50cos(2pi/15)t+62.5 {0<=t<=30}

 Or y=50cos(2pi/15)(t-7.5)+62.5 {0<=t<=30}

Rich Tasks 47: A Picture is Worth Thousand Words

Formative Assessment: Visual Analysis of a Problem

  Image Credits: Morrowind/Shutterstock

Students are given a math problem. In this formative assessment, their task is to answer a problem with visuals (graphs, diagrams, pictures, tables, figures or anything you want).

Student Instructions:

• Analyze the problem well, understand what you are looking for.
• Make a visual to represent the problem. The visual can be your own drawing, images from the Internet or a combination of both. Colouring is optional, but consider the appearance of the poster.
• Develop a solution method.
• Explain your work with sentences.
• Show all steps of your calculations even though you use a calculator.
• Solve the problem in such a way that a regular educated person can understand the solution.
• Make sure you include the text of the problem in your poster.
• Use an A4 or a larger sized-paper.

Rich Tasks 33: Make your own math problem