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AW Math 11 Design a Terrain Park
Name: ____________ Project Overview: You have decided to bid on a contract to design a terrain park for a new ski/snowboard park. The owners want to build a park that is challenging for all levels of skiers/snowboarders. As part of your design for the terrain park that will include three model jumps designed for beginners, intermediates and experts. Content:
� START A PLAN: Brainstorm what your jumps are going to look like and what differences you will make to the
designs based on the level of difficulty. Sketch the models and decide on the materials required to create
them.
� CREATE & TEST YOUR DESIGNS: Build your models and test them. Make adjustments where necessary.
� DOCUMENT YOUR DESIGN: Create scale drawings of the three models and answer the reflection questions.
� Final Product:
1. Models of a beginner, an intermediate, and an expert jump; 2. Scale drawings of your three model jumps labeled with the dimensions and showing the slope as a ratio, an
angle, and a percent. 3. Answers to the reflection questions.
AW Math 11 Design a Terrain Park
START A PLAN:
Get Started Your first step is to research terrain parks and plan the features of your park. You can find ideas on the internet, in magazines,
or by asking classmates who have visited terrain parks. Make a list of all the things you will need to consider. You may ask
yourself:
How can the jumps be designed for different skill levels?
How will you test your jumps and measure the results?
In addition to the jumps, what other terrain park features might you include in your design (rails, quarter pipes, etc.)?
Sketch Your Designs Once you have decided on the design of your terrain park, make some sketches of your jumps. Later, you will use your
sketches to build models of your jumps that you will test to determine whether they meet your design criteria.
Sketch your designs for a beginner, an intermediate, and an expert jump.
How will you modify your jumps to create three different levels of difficulty?
How will you construct your models? What materials could you use?
http://www.ski-injury.com/terrainparks
AW Math 11 Design a Terrain Park
Sketch Your Designs HERE:
AW Math 11 Design a Terrain Park
BUILD & TEST YOUR DESIGNS: Often, when a prototype is tested it doesn’t produce the expected results the first time. By repeating your tests and recording
the results, you will create data that you can analyze in order to decide what changes need to be made to the slope length, rise,
run, and distance between the downhill and uphill sections of your jumps.
1. Transfer your sketches to Bristol board or cardboard, cut out the shapes, and tape them together to create models of a
beginner, an intermediate, and an expert jump.
2. In a table provided, record the dimensions of each of your models.
3. Use a marble to represent a snowboarder. Release the marble from the top of the beginner slope and measure the distance
it travels from the end of the jump to the first time the marble hits the ground. Record your result in the table.
4. Run two more tests and record the average distance travelled.
5. Test your intermediate jump. Does your marble travel farther off the intermediate jump? If not, you will need to revise
your design. What can you change in order to get more distance? You may need to experiment with changing different
aspects of the design. Each time you make a change, record the new dimensions in your table, run three trials, and find the
average distance. Repeat the tests and revise your design until the marble travels farther off the intermediate jump than
the beginner jump.
6. Repeat the tests for your expert jump, and revise your design until the marble travels farther off the expert jump than the
intermediate jump.
Beginner Jump
Rise/Run of
downhill
section
Rise/Run of
jump
Distance
between
downhill
section and
jump
DISTANCE MARBLE TRAVELLED
Trial 1 Trial 2 Trial 3 Average
AW Math 11 Design a Terrain Park
BUILD & TEST YOUR DESIGNS:
Intermediate Jump
Rise/Run of
downhill
section
Rise/Run of
jump
Distance
between
downhill
section and
jump
DISTANCE MARBLE TRAVELLED
Trial 1 Trial 2 Trial 3 Average
Advanced Jump
Rise/Run of
downhill
section
Rise/Run of
jump
Distance
between
downhill
section and
jump
DISTANCE MARBLE TRAVELLED
Trial 1 Trial 2 Trial 3 Average
AW Math 11 Design a Terrain Park
DOCUMENT YOUR DESIGN: Once you have tested your models and arrived at the final design, you will need to record the technical specifications for the
terrain park features. In this project activity, you will create scale drawings of your models and calculate their slopes, and you
will document how you solved any design problems that arose during the testing phase.
1. On graph paper, make a scale drawing of each of your model jumps.
2. On each jump, label the rise and run and calculate the slope. Record the slope as a fraction and a decimal.
3. Calculate the angle of elevation and the percent grade of the slopes and record them on your drawing.
AW Math 11 Design a Terrain Park
DOCUMENT YOUR DESIGN:
AW Math 11 Design a Terrain Park
DOCUMENT YOUR DESIGN:
Reflection Questions: Answer the following questions.
Did your design work the first time?
What aspects of the design did you change in each trial?
What adjustments created the most change in the distance the marble travelled? Why?
What adjustments had little effect on the distance the marble travelled? Why?
What compromises did you need to make in order to achieve your objectives for the different skill levels?
What was the average distance the marble travelled for each of your jumps?
AW Math 11 Design a Terrain Park
Project Evaluation for ______________________:
Content Developing Accomplished Exemplary
START A PLAN Sketches • 2 or more not completed or all
rough sketches partially completed
• One rough sketch not completed or two rough sketches partially complete
• Rough sketches of beginner, intermediate and advanced jumps completed
DESIGN TESTS Data Collection • Data not collected or 1 or more
only partially completed • Some data is not collected for two
of the follow: beginner, intermediate and/or advanced jumps
• Designs tested and data collected for two of the following: beginner, intermediate and/ or advanced jumps
Models • Models don’t work or 1 or more are incomplete
• 2 models work but are constructed poorly or one model incomplete
• 2 models work and are constructed well
DOCUMENT THE DESIGN Scale Drawings • Two or more of the following is
incomplete: scale diagrams are drawn and correct, slope is calculated and labeled, or angle of elevation and the percent grade of the slope are calculated and labeled
• One of the following is incomplete: scale diagrams are drawn and correct, slope is calculated and labeled, or angle of elevation and the percent grade of the slope are calculated and labeled
• Two Scale diagrams are drawn and correct
• Slope is calculated and labeled for 2 jumps
• Angle of elevation and the percent grade of the slope are calculated and labeled for 2 jumps
Reflection Questions • Uses few effective strategies to redesign the jump models based on the data or section incomplete
• Uses some appropriate strategies to redesign the jump models based on the data
• Uses effective and innovative strategies to redesign the jump models based on the data
Project Evaluation for ______________________:
Content Developing Accomplished Exemplary
START A PLAN Sketches • 2 or more not completed or all
rough sketches partially completed
• One rough sketch not completed or two rough sketches partially complete
• Rough sketches of beginner, intermediate and advanced jumps completed
DESIGN TESTS Data Collection • Data not collected or 1 or more
only partially completed • Some data is not collected for two
of the follow: beginner, intermediate and/or advanced jumps
• Designs tested and data collected for two of the following: beginner, intermediate and/ or advanced jumps
Models • Models don’t work or 1 or more are incomplete
• 2 models work but are constructed poorly or one model incomplete
• 2 models work and are constructed well
DOCUMENT THE DESIGN Scale Drawings • Two or more of the following is
incomplete: scale diagrams are drawn and correct, slope is calculated and labeled, or angle of elevation and the percent grade of the slope are calculated and labeled
• One of the following is incomplete: scale diagrams are drawn and correct, slope is calculated and labeled, or angle of elevation and the percent grade of the slope are calculated and labeled
• Two Scale diagrams are drawn and correct
• Slope is calculated and labeled for 2 jumps
• Angle of elevation and the percent grade of the slope are calculated and labeled for 2 jumps
Reflection Questions • Uses few effective strategies to redesign the jump models based on the data or section incomplete
• Uses some appropriate strategies to redesign the jump models based on the data
• Uses effective and innovative strategies to redesign the jump models based on the data
