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Robo-Math: How Far? The Distance a Robot Travels in One Rotation of the Motor = The Circumference of the Wheel Circumference (of the Wheel) = Diameter (of the Wheel) x ∏ Figuring a unit rate: Distance for one rotation (knobby wheels) Do this: 1) Figure the circumference of the wheel (use cm) diameter of wheel x x ∏ = circumference _______cm 3.14 = ________ 2) This gives a unit rate (for knobby wheels) # of cm moved per 1 rotation 3) Unit rate for knobby wheels is: (notice the format) ______cm / 1 rotation (per) Robo-Math: How Far? The Distance a Robot Travels in One Rotation of the Motor = The Circumference of the Wheel Circumference (of the Wheel) = Diameter (of the Wheel) x ∏ 3 Work Questions: A) How Far will the Robot travel with 720⁰ of rotation? (using knobby wheels) B)How many Rotations will it take for the Robot to go 50cm? (using skinny wheels) C) How many Rotations will it take for the Robot to go 25in? (using wide wheels) Robo-Math Question A: How Far will the Robot travel with 720⁰ of rotation? (knobby wheels) Step 1) How many degrees are in one rotation? ___?___degrees / 1 rotation Step 2) Set up a proportion to find the number of rotations in 720⁰. ____?⁰__ = _720_ ⁰ 1 rotation n rotations Solve by using scale factor (relationship between ratios) Step 3) Distance travelled = Unit rate (# of cm / 1 rotation), times the number of rotations Distance travelled = _______ cm X __n__ Step 4) Demonstrate: - Write a program to move 720 degrees - Measure & draw predicted distance line, place Lego Dude on line - Run your program Robo-Math Question B: How many Rotations will it take for the Robot to go 50cm? (skinny wheels) Step 1) Now find the unit rate for the wheel using cm. diameter of wheel x ∏ = circumference _______cm x 3.14 = ________ Unit rate for the skinny wheel is: (notice the format) ______cm / 1 rotation Step 2) Set up a proportion using this unit rate __ ?__ cm = __50__ cm 1 rotation n rotations Solve by using scale factor (relationship between ratios) Step 3) Write a program using your robo-math for Move block duration Step 4) Demonstrate: - Place Lego Dude on 50 cm line Robo-Math Question C: How many Rotations will it take for the Robot to go 25in? (wide wheels) Step 1) Now find the unit rate for the wide wheels using inches. diameter of wheel x ∏ = circumference _______in. x 3.14 = ________ Unit rate for the wide wheel is: (notice the format) ______in. / 1 rotation Step 2) Set up a proportion using this unit rate. __(?)_in. = __25 in.__ 1 rotation n rotations Solve by using scale factor (relationship between ratios) Step 3) Write a program using your robo-math for Move block duration Step 4) Demonstrate: - Place Lego Dude on 25 in. line - Run program