Satellite Dish Project Power-Point by Jordan Schettler Outline • Introduction • Phase I: Research • Phase II: Make a Model • Phase III: Show Off Time • Phase IV: Why it Works Introduction • • • The Superdish Network wants you and your research team to design and build a prototype parabolic dish. Your team will be in competition against other teams for the job. Everyone must contribute to make this a success. Phase I: Research Students made brochures which included the following information (as well as there own personal touch): • What is a parabola? • The standard form: 4p(y - k) = (x - h)2 • Vertex: (h, k), Focus: (h, k + p), Directrix: y = k - p • How does a satellite dish work? • What materials will you need for your project? Student Sample Phase II: Make a Model Students made schematic drawings and prototypes Sample Schematics Sample Schematics Building the Prototype Building the Prototype Building the Prototype Prototype Formula • (x-h)2 = 4P(y-k) • 4P=16; P=4 • (0,0)= Vertex •Create formula •Draw •Build •Test EchoStar “We Work Together to Help YOU” Phase III: Show Off Time Students build full scale dishes and make power-points Making the Base Extra Supports and Surface Installing the Focus Some Finished Products Testing the Products Student Power Point Samples KTKM Corp Dishing out a better future Function 4p Vertex : (0, 0) Focus: (0 , 3) , 4p=12 , p=3 Directrix : y=-3 Constructing Our Satellite Measurements –Focus: 16 inches –Diameter: 28 inches –Circumference: 87.92 inches –Height of dish: 12 inches –Curve: x2=16y 1.Hard cardboard foam 2.Poster board 3.Ruler 4.Folder 5.Hot glue gun 6.Pencil •This is the outline where we glued the foam pieces down. We made all 16 angles be the same so the satellite would work better. This is how the base of how our satellite looked like but it wasn’t all finished at this moment. Cut the focus to stick on the model 6 inches Phase IV: Why it Works Students learn the calculus behind reflection Vertical Beam on a Curve The slope of the reflected line is the average of the slopes of the tangent and normal lines Vertical Beams on a Parabola The parabola has the feature that vertical beams are reflected through a common point, the focus.