PERFORMANCE TASKS IN PRE-CALCULUS INSTRUCTIONS: a. Use LONG bond paper. b. Solutions/explanations should be complete in details and shows understanding of the mathematical concepts c. Illustrations/ graph should be clear and easy to understand. d. The work should be neal, clear, and organized that is easy to read. e. Box your final answers, No erasures on the final answers. Round off your answers to 2 decimal places. PERFORMANCE TASK #1 - SITUATIONAL PROBLEMS INVOLVING CIRCLES 1. A Fenis wheel is elevated 2 meters above the ground. When a car reaches the highest point on the Fenis wheel its altitude from ground level is 32 meters, How far away from the center, horizontally, is the car when It is at an altitude of 20 me 2. An archeologist found the remains of an ancient wheel, which then placed on a grid. If the are of the wheel passes through Al-7, 0), BI-3, 4) and C(7, 0). locate the center of the wheel, and the standard equation of the circle defining its boundary. 3: A street with two lanes. each 12 It wide. goes through a semicircular tunnel with radius 15 ft. How high is the tunnel at the edge of each lane? PERFORMANCE TASK #2 - SITUATIONAL PROBLEMS INVOLVING PARABOLAS If The towers supporting the cable of a suspension bridge are 1200'm apart and 170 m above the bridge it supports. Suppose the cable hangs, following the shape of a parabola, with lis lowest point 20 m above the bridge. How high is the cable 120 m away from a tower 2. A flashlight is shaped like a paraboloid, so that if its light bulb is placed at the focus, the light rays from the bulb will then bounce off the surface in a focused direction that is parallel to the axis. If the paraboloid has a depth of 1.8 in and the diameter on its surface is 6 in, how far should the light source be placed from the vertexs 3. A satellite dish has a shape called a parabolold, where each cross section is a parabola Since radio signals (parallel to the axis) will bounce off the surface of the dish to the focus, the receiver should be placed at the focus, How far should the receiver be from the vertex, If the dish is 12 it across, and 4.5 it deep at the vertex? RUBRICS CATEGORY POOR (1PT) FAIR (2PTS) GOOD (3PIS) EXCELLENT (4PTS) Mathematical Explanation shows vary Explanation shows Explanation shows Explanation shows Concepts limited some substantial complete inderstanding of the understanding of the understanding of the understanding of undedying mathematical mathematical the mathematical conceph needed to concepts needed concepts used to concepts solve the to solve the problemis) Solve the problemis). used to solve the problemfil or is not problem(s). written Explanation Explanation is difficult to Explanation is a ultie Explanation is clear Explanation is detailed understand and is difficult to understand and clear misung several but includes critical components of was not components. Included Illustration/ Illustrations are difficult to Illustrations are illustrations are clear lustrations are clear Graph understand or are not somewhat difficult to and easy to and greatly add to the used understand understand readers understanding of the procedure :). Strategy/ Rarely Dies on effective Sometimes uses on Typically, uses an Typically. uses an Procedures strategy to solve effective strategy to effective strategy to efficient and effective problems solve problems but solve the problem() strategy to solve the does not do it problem() consistently. Neatness and The work appears sloppy The work is presented The work is presented Organization The work is presented and unprganized. It is In an organized fashion |in a neat and hard to know what n a neat, clear, but may be hard to organized fashion information goes. organized fashion that read at times, that is usually easy to together is easy to read read