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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)

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Robo-Math: How Far?

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  1. 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 ∏ =circumference • _______cm x 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?

  2. 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: • How Far will the Robot travel with 720⁰ of rotation? (using knobby wheels) • How many Rotations will it take for the Robot to go 50cm? (using skinny wheels) • How many Rotations will it take for the Robot to go 25in? (using wide wheels) Robo-Math: How Far?

  3. 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-MathQuestion A: How Far will the Robot travel with 720⁰ of rotation? (knobby wheels)

  4. 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 • - Run program Robo-MathQuestion B: How many Rotations will it take for the Robot to go 50cm? (skinny wheels)

  5. 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 Robo-MathQuestion C: How many Rotations will it take for the Robot to go 25in? (wide wheels)

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