What are the mathematical concepts involved in developing

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Reference no: EM133478671

Case Study: The graphical analysis of equations is part of our daily lives, for example when analyzing a displacement or a structure. The mathematical concepts of graph analysis and transformation are ubiquitous. Design a plan for the creation of an amusement park featuring five rides with different, periodic movements. To explain them, use analysis and graphic description of the movements in a ride (e.g., rotational movement, horizontal or vertical movement, parabolic movement). Uses graphs (e.g., sinusoidal, parabolic, exponential functions) to present the movement of a person on three of the rides. Determine the equation of the function of each movement, using transformations and reciprocals to explain the nature of the movements.

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Question 1: - Thinking and making connections

What are the mathematical concepts involved in developing an amusement park?

What data do I know about the task? What information do I not know?

What questions do I ask myself?

What ideas come to mind when I decide which rides to analyze?

What do I know about amusement parks?

What information do I know about a person's movement on different rides?

How many types of rides do I know?

Question 2: - Selecting tools and strategies

How can I determine the equations for each of the functions that represent the movement of a person on a ride?

How can I determine the factors that will enable me to model the situations?

What approaches will I use to explain the mathematical concepts involved in analyzing the movement of a person in a carousel?

What tools will I need to carry out a detailed analysis of the movement of a person in a carousel?

What strategy will I use to develop my plan?

Question 3: - Reasoning and representation

Once you've selected the mathematical tools and strategies you'll need to create your plan, ask yourself the questions below.

How will I represent my data and explanations (e.g., diagrams, tables, images)?

How will I arrive at the final results? What calculations are required?

How will I analyze and account for my data to determine the various transformations?

How will I use the mathematical concepts I've learned in the module in my assessment?

How will I use my knowledge of trigonometric functions to establish a link with a merry-go-round?

How will I integrate the concept of trigonometric identity into my plan? How does the movement of a person on a merry-go-round relate to the principle of reciprocity?

Can I include more than one approach or strategy for the same ride?

Reference no: EM133478671

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