LEGO WeDo 2.0 Math Challenge
Angle Maker - Part 1
Skills Required:
Three-Digit Subtraction
One-Digit by Three Digit Multiplication
Drawing Angles with a Protractor
Gears Needed:
40-teeth and 8-teeth
What to Build:
The same angle maker is pictured twice, from two different sides.
.
The Problem:
Determine the measure of the angle created by a given number of handle turns.
Procedure:
1.Align the gray angle “rays” and turn the handle until the one of the rays completes a full rotation, and the rays are aligned again. How many times did you need to turn the handle completely around in order for this to happen_____
2.How many degrees does a ray rotate each time the handle makes a full turn (divide 360 by answer #1)? ____
3.This (answer #2) is also the measure of the angle made by turning the handle around once. Use a protractor to draw an angle of this degree on paper, then create this angle with one handle rotation. Put the gear machine angle on top of the angle you drew. Do the angles match? _____
4.Create an angle by turning the handle twice. How many degrees should this angle measure? (multiply answer #2 by 2) ______
5.Draw this angle and put the gear machine angle on top of it. Do the angles match? _____
6.Now create an angle by turning the handle three times. How many degrees should this angle measure? (multiply answer #2 by 3 and subtract this number from 360) ______
7.Draw this angle and put the gear machine angle on top of it. Do the angles match? _____
8.Now create an angle by turning the handle four times. How many degrees should this angle measure? (multiply answer #2 by 4 and subtract this number from 360) ______
9.Draw this angle and put the gear machine angle on top of it. Do the angles match? _____
Extra Challenge: Determine the angles created by the following number of handle turns, and check your answers by seeing if the angle machine matches angles that are drawn:
6 Turns ____ 8 Turns ____ 11 Turns ____ 15 Turns ____ 13 Turns ____
LEGO WeDo 2.0 Math Challenge
Angle Maker - Part 1 (KEY)
Skills Required:
Three-Digit Subtraction
One-Digit by Three Digit Multiplication
Drawing Angles with a Protractor
Gears Needed:
40-teeth and 8-teeth
What to Build:
The same angle maker is pictured twice, from two different sides.
The Problem:
Determine the measure of the angle created by a given number of handle turns.
Procedure:
1.Align the gray angle “rays” and turn the handle until the one of the rays completes a full rotation, and the rays are aligned again. How many times did you need to turn the handle completely around in order for this to happen? 5
2.How many degrees does a ray rotate each time the handle makes a full turn (divide 360 by answer #1)? 72
3.This (answer #2) is also the measure of the angle made by turning the handle around once. Use a protractor to draw an angle of this degree on paper, then create this angle with one handle rotation. Put the gear machine angle on top of the angle you drew. Do the angles match? _____
4.Create an angle by turning the handle twice. How many degrees should this angle measure? (multiply answer #2 by 2) 144
5.Draw this angle and put the gear machine angle on top of it. Do the angles match? _____
6.Now create an angle by turning the handle three times. How many degrees should this angle measure? (multiply answer #2 by 3 and subtract this number from 360) 144
7.Draw this angle and put the gear machine angle on top of it. Do the angles match? _____
8.Now create an angle by turning the handle four times. How many degrees should this angle measure? (multiply answer #2 by 4 and subtract this number from 360) 72
9.Draw this angle and put the gear machine angle on top of it. Do the angles match? _____
Extra Challenge: Determine the angles created by the following number of handle turns, and check your answers by seeing if the angle machine matches angles that are drawn:
6 Turns 72 8 Turns 144 11 Turns 72 15 Turns 0 14 Turns 72 13 Turns 144
LEGO WeDo 2.0 Math Challenge
Angle Maker - Part 2
Skills Required:
Three-Digit Subtraction
One-Digit by Three Digit Multiplication
Drawing Angles with a Protractor
Gears Needed:
40-teeth and 12-teeth
What to Build:
The same angle maker is pictured twice, from two different sides.
The Problem:
Determine the measure of the angle created by a given number of handle turns.
Procedure:
1.Align the gray angle “rays” and turn the handle until the one of the rays completes 3 full rotations, and the rays are aligned again. How many times did you need to turn the handle completely around in order for this to happen?_____
2.How many degrees total did the ray rotate? (multiply 3 times 360) _____
3.How many degrees does a ray rotate each time the handle makes a full turn (divide answer #2 by answer #1)? ____
4.This (answer #3) is also the measure of the angle made by turning the handle around once. Draw a degree of this angle on paper, then create an angle with one handle rotation. Put the gear machine angle on top of the angle you drew. Do the angles match? _____
4.Create an angle by turning the handle twice. How many degrees should this angle measure? (multiply answer #3 by 2 and subtract this product from 180) ______
5.Complete the “Handle Turns/Angle Created” chart below. Multiply the left hand number by the answer to #3. Then, subtract 360 from all products between 360 and 720, and subtract 720 from all products between 720 and 1080. After doing the preceding step(s), subtract from 360 any numbers that are greater than 180.
Handle Turns / Angle Degrees1
2
3
4
5
6
7
8
9
Extra Challenge: Determine the angles created by the following number of handle turns, and check your answers by seeing if the angle machine matches angles that are drawn:
11 Turns ____ 12 Turns ____ 17 Turns ____ 15 Turns ____ 21 Turns ____
LEGO WeDo 2.0 Math Challenge
Angle Maker - Part 2 (KEY)
Skills Required:
Three-Digit Subtraction
One-Digit by Three Digit Multiplication
Drawing Angles with a Protractor
Gears Needed:
40-teeth and 12-teeth
What to Build:
The same angle maker is pictured twice, from two different sides.
The Problem:
Determine the measure of the angle created by a given number of handle turns.
Procedure:
1.Align the gray angle “rays” and turn the handle until the one of the rays completes 3 full rotations, and the rays are aligned again. How many times did you need to turn the handle completely around in order for this to happen? 10
2.How many degrees total did the ray rotate? (multiply 3 times 360) 1080
3.How many degrees does a ray rotate each time the handle makes a full turn (divide answer #2 by answer #1)? 108
4.This (answer #3) is also the measure of the angle made by turning the handle around once. Draw a degree of this angle on paper, then create an angle with one handle rotation. Put the gear machine angle on top of the angle you drew. Do the angles match? _____
4.Create an angle by turning the handle twice. How many degrees should this angle measure? (multiply answer #3 by 2 and subtract this product from 180) 144
5.Complete the “Handle Turns/Angle Created” chart below. Multiply the left hand number by the answer to #3. Then, subtract 360 from all products between 360 and 720, and subtract 720 from all products between 720 and 1080. After doing the preceding step(s), subtract from 360 any numbers that are greater than 180.
Handle Turns / Angle Degrees1 / 108
2 / 144
3 / 36
4 / 72
5 / 180
6 / 72
7 / 36
8 / 144
9 / 108
Extra Challenge: Determine the angles created by the following number of handle turns, and check your answers by seeing if the angle machine matches angles that are drawn:
11 Turns 108 12 Turns 144 17 Turns 36 15 Turns 180 20 Turns 0 26 Turns 72