Concept Attainment

 

What Concepts Live Here?(Sample)

 

 

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}

Social Distance

 

[hint]

Rich Tasks 65: What Mathematics Do You See In This Picture?

Problem 127: Decimals and Number Bases

Rich Task 61: Exponents and Personal Life

inspired from 

Rich Task 59: Cyrillic-Latin and Greek Alphabets

Draw a Venn diagram with three sets, which each set represents one of the Greek, Cyrillic or Latin alphabets. Then fill in the regions.

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 40: Probability and Science

https://alportsyndrome.org/alport-syndrome/alport-syndrome-genetics/

1. What do you understand from the above image?

2. How is probability useful in determining whether a child will carry any of these traits?

https://www.newscientist.com/article/2191375-probability-helps-zebrafish-stay-in-schools-when-faced-with-predators/

3. What do you think of this news? Search about it and explain. Your answer should give necessary information about how probability is important in this situation.

Teachable Moments:The $80 Trillion World Economy in One Chart

This infographic can be used while teaching percentages, standard form, statistics and big numbers.

http://www.visualcapitalist.com/80-trillion-world-economy-one-chart/

Rich Tasks 25: Different Forms of a Number

In how many different forms can you write 1/8?  How about 8/27? Can you find more than 9?

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Rich Tasks 20: Exploring MYP Key Concept 'Form'

Moderated from MYP 4-5 Standard Textbook.