PERFORMANCE TASK #1 - SITUATIONAL PROBLEMS INVOLVING CIRCLES L. A Fenis wheel is elevated 2 meters above the ground. When a car reaches the highest point on the Ferris 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 m7 2. An archeologist found the remains of an ancient wheel, which then placed on a grid. If the are of the wheel passes through A(-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 I. 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 lower 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 & In, how for should the light source be placed from the vertex: 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 (3PTS) EXCELLENT (4PTS) Mathematical Explanation shows very Explanation shows Explanation shows Explanation shows Concept limited same substantial complete Lindenstanding of the understanding of the understanding of the understanding of underdying mathematical mathematical the mathematical concept needed to concepts needed concepts used to concepts solve the to solve the problemis) Solve the problem(s). Led to solve the problemfil or is not problem (s). written Explanation Explanation is difficult to Explanation is a lillie Explanation Is clear. Explanation is defailed understand and is difficult to understand and clear, making several but includes critical components or was not Components. Included. Illustration/ Hustrations are difficult to Illustration one Illustrations are clear Illustrations are clear Graph undentand or are not tomawhat difficult to and easy to and greatly add to the undentand understand readery's understanding of the procedure :). Strategy/ Rarely uses on effective Sometimes uses an 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(s). strategy to solve the does not do it problemis) contitanily. Neatness and The work appears sloppy The work i presented The work is presented The work is presented Organization and unorganized, it is h an organized fashion in a neat and in a neat. clean hard to know what but may be hard to organized fashion organized fashion that information goes read at times, that is usually easy to is easy to read together. read