Let's Build a Bridge! Summative assessment: GRASPS GRASPS GRASPS Details STANDARDS Goal To design a bridge that crosses Khor Al Maqta in Abu Dhabi 1. Provide a statement of the task 2. Establish a goal, problem, challenge, or obstacle in the task Role Students will take on the role of an engineer designing and 1. Define the role of the student modifying the bridge to meet the in the task demands. 2. State the job of the students in the task. Audience The audience is Sheikh Khalifa and the RTA. The students will 1. Identify the target audience be proposing their bridge design. within the context of the scenario ce was 2. Example audiences might include a specific person, or group seNero.com Situation Khor Al Maqta is the waterway separating Abu Dhabi from the mainland. Students will be 1. Set the context of the scenario designing a bridge using piecewise functions 2. Explain the situation that span the waterway. Product The students will create the equation of a bridge that will correctly and accurately span the 1. Clarify what the students will waterway. They will give a scale drawing of the create profile of the bridge. ed sha This study source was downloaded by 100000800100613 from CourseHero.com on 10-24-2021 13:20:18 GMT -05:00 https://www.coursehero.com/file/110248376/Precalculus-Projectpdf/Let's Build a Bridge! Let's Build a Bridge! Standards and Criteria Standard(s) Congratulations! You're construction company has just been hired to build a new bridge across Khor Al Maqta connecting the mainland to the island of Abu Dhabi. The ministry has asked you to design a suspension 1. Provide students with a clear bridge like the Golden Gate Bridge. In order to simplify the design, let the point directly on the water in between picture of success Build new functions from existing functions. the two shores be the point (0,0). Your fellow engineers have been working on the design and are nearly done. So 2. Identify specific curriculum ar, the equation they have created for the suspension wires is: standards and indicators Include simple radical, rational, and exponential functions; emphasize common effect of each transformation across function types) 3. Issue rubrics to the students 3. Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for A specific values of k (both positive and negative); find the value of k given the graphs. f(x) = 10 *2 + 10, when - 10 S x S 10 Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic 10 (x - 20)2 + 10, when x > 10 expressions for them. F-IF Interpreting Functions Analyze functions using different representations. as com com Focus on using key features to guide selection of model function) 7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. Source: http://blog.westinteractive.com/wp-content/uploads/GoldenGateBridge_shutterstock 114141715- rse e1363635763602.jpg 1. Assuming the bridge is to be symmetric, what equation belongs in A? study res Col study via shared via Co 2. What domain belongs in A in order for the bridge to be symmetrical? Th h 3. Sketch a graph showing the suspension wires. Be sure to show the water level, and the banks of the shore on either side. Also be sure to show the road level that is supported by the wires. How can you use the equation to tell you where the water ends and land begins? Precalculus Pr This study source was downloaded by 100000800100613 from CourseHero.com on 10-24-2021 13:20:18 GMT -05:00 This study source was downloaded by 100000800100613 from CourseHero.com on 10-24-2021 13:20:18 GMT -05:00 https://www.coursehero.com/file/110248376/Precalculus-Projectpdf/ https://www.coursehero.com/file/1 10248376/Precalculus-Projectpdf/Let's Build a Bridge! Let's Build a Bridge! 4. After a survey, it is found that the left side of the bridge must be extended 10m. What could you change about the function f (x) to extend one side 10m? THI Source: http://upload. wikimedia.org/wikipedia/commons/thumb/c/c6/Arkinis_tiltas- Arch_Bridge.JPG/320px-Arkinis_tiltas-Arch_Bridge.JPG was co.com e 5. If you wanted to lower the center of the suspension without changing any other parts, what would you change? Give an example of a function that lowers the center suspension by 10m. CourseHero.com This study resource was d via Course his study resol d via 6. /After consulting with your colleagues, you believe that a suspension bridge is not the right choice. Design an arch bridge that will span Khor al Maqta. Be sure to give the equation and sketch a graph. sh share This study source was downloaded by 100000800100613 from CourseHero.com on 10-24-2021 13:20:18 GMT -05:00 This study source was downloaded by 100000800100613 from CourseHero.com on 10-24-2021 13:20:18 GMT -05:00 https://www.coursehero.com/file/110248376/Precalculus-Projectpdf/ https://www.coursehero.com/file/110248376/Precalculus-Projectpdf/