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You have been hired as a member of a group of four engineers in a firm that sells roller coasters all over the world. You job is to design and build the safest new roller coaster and you and your team will oversee all the details involved in the project. You have been asked to:
-Name the roller coaster
-Design it so that it establishes at least one world record (You will have to research the roller coaster world records and decide which one is the record you would like to break).
In addition to that, you will prepare a presentation for prospective buyers, including:
-A drawing of the roller coaster design (to scale)
-The speed of the roller coaster (must research velocity formulas, apply them and show calculations of the speed at three different locations on the ride)
-The cost of the roller coaster (Your budget is $1,000,000, show two different ways of financing the roller coaster to your buyers. You will have to research formulas on interest rates, payments, etc.)
-Safety controls and measurements to ensure passengers safety.
Be creative! For the presentation you may use any of the Web 2.0 applications available.
(Stixy, Prezi, Slideshare, etc.)
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How roller coaster works:
http://www.kidzworld.com/article/4633-how-roller-coasters-work
http://www.fsus.fsu.edu/mcquone/Amusepark/rollercoaster/howcstrworks.htm
http://www.rocklin.k12.ca.us/staff/dfix/project_roller_coaster/motion_speed.htm
http://mrlewisclassroom.tripod.com/roller.htm
http://www.angelfire.com/on2/thrillsandchills/
http://www.cape.k12.mo.us/cjhs/science/strom/roller_coaster.htm
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1. List your personal understanding, ideas or hunches.
Now that you are familiar with roller coasters you will write everything you know about roller coaster. Describe your thoughts or ideas about how to solve the problem. There are not incorrect answers in this step, just feel free to brainstorm your ideas.
2. List what is known.
With your team use all the information available in the scenario to list everything that you know about roller coaster. You do not have to conduct any research yet. Just use the information given and write the facts that you already know about roller coaster.
3. List what is unknown.
With your team, make a list about what you do not know and would like to learn. List all the questions you will need to answer to solve the problem.
5. List what needs to be done.
"What should we do?" List actions to be taken, e.g., question an expert, conduct research, go to a board meeting about topic. List possible actions.
6. Develop a problem statement.
You will be responsible for thinking and choosing one of the questions to solve the problem. A problem statement should come from your analysis of what you know. In one or two sentences, you should be able to describe what it is that your group is trying to solve, produce, respond to, or find out. The problem statement may have to be revised as new information is discovered and brought to bear on the situation.
7. Gather information
Use all the resources available (Internet, library, etc) to research about the problem/topic and find a solution.
8. Present Findings
Be creative! For the presentation you may use any of the Web 2.0 applications available.
(Stixy, Prezi, Slideshare, etc.)
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Algebra I
A.(9) Quadratic and other nonlinear functions. The student understands that the graphs of quadratic functions are affected by the parameters of the function and can interpret and describe the effects of changes in the parameters of quadratic functions. The student is expected to:
(A) determine the domain and range for quadratic functions in given situations;
(B) investigate, describe, and predict the effects of changes in a on the graph of y = ax2 + c;
(C) investigate, describe, and predict the effects of changes in c on the graph of y = ax2 + c; and
(D) analyze graphs of quadratic functions and draw conclusions.
Algebra II
(10) Rational functions. The student formulates equations and inequalities based on rational functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to:
(A) use quotients of polynomials to describe the graphs of rational functions, predict the effects of parameter changes, describe limitations on the domains and ranges, and examine asymptotic behavior;
(B) analyze various representations of rational functions with respect to problem situations;
(C) determine the reasonable domain and range values of rational functions, as well as interpret and determine the reasonableness of solutions to rational equations and inequalities;
(D) determine the solutions of rational equations using graphs, tables, and algebraic methods;
(E) determine solutions of rational inequalities using graphs and tables;
(F) analyze a situation modeled by a rational function, formulate an equation or inequality composed of a linear or quadratic function, and solve the problem; and
(G) use functions to model and make predictions in problem situations involving direct and inverse variation.
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