Trigonometry RAFT: Choose Your Own Adventure! (page 1 of 3)
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1 Trigonometry RAFT: Choose Your Own Adventure! (page 1 of 3) 20 ft. 1. Metal Fabricator Shop Supervisor Physical model This drawing shows the way that metal supports will have to be constructed to frame the outside wall in a new building. Calculate the length of the diagonal piece of metal and all of the unknown angles. Create a scale model of the wall and support beams, showing all dimensions and angles. 14 ft. 2. BMX Rider Builder Drawing with measurements A new motocross course is being built and the starting ramp is being designed. A higher and longer ramp gives riders more speed to start the race. Draw a ramp that would have a length of at least 15 metres with an angle of elevation between 30 and 65. Include all measurements on your drawing. A pipe offset is pictured to the right: 3. Pipe Fitter Co-Worker Oral description of solution with drawing and calculations The length of pipe C is 24 and the length of measurement A is How can you find the angle of the joints at the ends of pipe C? C B A 1.
2 Trigonometry RAFT: Choose Your Own Adventure! (page 2 of 3) 4. Salesperson Customer Oral explanation with drawing and calculations A customer comes into a flooring store looking for enough carpet to cover his basement stairs. He knows that the stairs rise at a 35 angle and that the staircase is 14 feet long. The stairs are 3 feet wide. Here is the drawing that he brought into the store to show the salesman: 14 ft. What is the total amount of carpeting required to cover the stairs? What assumption must you make in order to determine the amount of carpeting? 35 An airplane is 1,500 m in the air. 5. Airplane Navigator Pilot Technical description The Navigator sees that the airport is at a 20 angle of depression. How far away from the airport is the airplane? 2.
3 Trigonometry RAFT: Choose Your Own Adventure! (page 3 of 3) 6. Car Customizer Machinist Drawing Create a drawing of a design for a new tire rim that uses right triangles as a central theme. The drawing must include the side lengths and angles of at least one triangle. The most common tire rim diameter is 15 inches. Camp Mathisfun wants to build a footbridge across a river. 7. Surveyor Camp Director Written letter The surveyor has created this drawing based on her measurements. Complete a letter to the camp director indicating the length of the footbridge and how it was determined. 400 metres 31 3.
4 Appendix B Trigonometry Grade 10 Mathematics, Applied (MFM2P) Class Assessment Checklist Categories/Mathematical Processes/Criteria Thinking Effectively judges the reasonableness of results Reflecting Communication Communicating Application Selecting Computational Strategies Clearly explains and logically justifies solutions orally, visually and/or in writing Selects appropriate computational strategies to solve for unknown sides in right triangles Connecting Describes relevant examples of problem solving using trigonometry in an occupation 4.
5 Appendix C Trigonometry Grade 10 Mathematics, Applied (MFM2P) Reflection Exit Card Reflection Name: What occupation were you focusing on in today s activity? What does trigonometry have to do with the occupation that you looked at? Solve for side X on the following triangle. Show your work. Solve for angle A on the following triangle. Show your work. A 7 ft. X 3m 9 ft
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