MATH SCIENCe 360 - Home



Summary of LEGO WeDo 2.0 Math ChallengesWobble PullSkills Required:Measuring AnglesMultiplying and Subtracting DecimalsMaterials Needed:Modified LEGO Pull-Robot36 Dice (16 mm)ProtractorA Ramp (slope needs to be adjustable)The Challenge: Determine the weights that Pull-Robot can pull up different slopes.Frog vs. Tadpole Skills Required:Metric LengthSimplifying FractionsMultiplying Fractions by Whole NumbersMaterials Needed:LEGO FrogLEGO TadpoleMeter StickStringCarpeted/Rug Floor SurfaceThe Challenge: Measure how far the Frog travels with a given number of hops and estimate how about how far the Tadpole will travel if taking the same number of steps.Mantis Mania Skills Required:The Four Operations with Whole NumbersMeasuring in Centimeter Equivalent Fractions (Mantis Mania B)Multiplying Fractions by Whole Numbers (Mantis Mania B)Materials Needed:Modified LEGO MantisMetric RulerTwo DiceThree-ring Binder with 1” RingsThe Challenge: Construct a ramp up which the Mantis will push dice. Steer Car Courses Skills Required:Measuring in Inches Angles and Rotation DegreesCalculating Quotients ending in .5 Materials Needed:LEGO Steer CarYard StickMasking TapeThe Challenge: Program the Steer Car to travel around a square or equilateral triangle course.Dump ItSkills Required:Adding, Subtracting, and Multiplying DecimalsMaterials Needed:LEGO Recycling Truck7 Dice (16 mm)7 Square LEGO BricksThe Challenge: Determine the heaviest possible weight you can get the truck to dump.EarthquakeSkills Required:Calculating Area Calculating Volume (Earthquake Data Chart Versions B and C)Multiplying Decimals (Earthquake Data Chart Version B)Multiplying Fractions (Earthquake Data Chart Version C)Materials Needed:LEGO Earthquake connected to baseplate36 DiceThe Challenge: Calculate the dimensions of various dice “buildings” and observe how long they can survive the earthquakeBee Revolution Skills Required:Adding, Multiplying and Rounding DecimalsMaterials Needed: LEGO Flower The Challenge: Calculate how many revolutions the bee will make, given its programmed speed and time.Gear Machine - Multiples of 2, 3, 4, 5, 6, 8, 9, 10, & 12 Skills required:Basic Multiplication/Division FactsMaterials Needed: LEGO Gear Machines*The Challenge:Determine the relationship between the number of blue handle turns and the number of green handle turns.Gear Machine - Multiplying and Dividing by 10 and 100Skills required:Basic Multiplication/Division FactsMultiplying and Dividing Decimals by Powers of 10Materials Needed: LEGO Gear Machine*The Challenge: Determine the relationships between the numbers of blue handle turns, yellow handle turns, and green handle turns. Gear Machine - Student DesignedSkills Required:Simplifying FractionsMultiplying Fractions by Whole NumbersMultiplying Fractions by Fractions (4-gear Machines)Materials Needed: LEGO Gear Machines The Challenge:Determine the relationship between the number of green handle turns and the number of blue handle turns.Angle Maker Skills Required:Three-Digit SubtractionOne-Digit-by-Three-Digit MultiplicationDrawing Angles with a ProtractorMaterials Needed: LEGO Angle Makers*The Challenge:Determine the measure of the angle created by a given number of handle turns.*May require some gears which are included in the WeDo 1.0 kits, but not the 2.0 kits.LEGO WeDo 2.0 Math ChallengeWobble PullSkills Required:Measuring AnglesMultiplying and Subtracting DecimalsWhat to Build: The Pull-Robot (1a), modified as shown so that the trailer has a shorter length and higher walls. Other Materials Needed:36 Dice (16 mm)ProtractorA Ramp (slope needs to be adjustable)The Challenge: Determine the weights that Pull-Robot can pull up different slopes.Procedure:1.Create a ramp with a 10° slope. How many dice can you put in the trailer and still have the car pull them up the ramp? ______2.How heavy is this dice load (each die weighs 4.4 g)? ______3.Raise the ramp so that it has a 15° slope. Now how many dice can you put in the trailer and still have the car pull them up the ramp? ______4How heavy is this dice load? ______5.Raise the ramp so that it has a 20° slope. Now how many dice can you pull up the ramp? ______6.How heavy is this dice load? ______7.How much heavier is the load that can be pulled up the 10° slope than the load that can be pulled up the 15° slope? ______ How much heavier is the load that can be pulled up the 15° slope than the load that can be pulled up the 20° slope? ______LEGO WeDo 2.0 Math ChallengeWobble Pull (KEY)Skills Required:Measuring AnglesMultiplying and Subtracting DecimalsWhat to Build: The Pull-Robot (1a), modified as shown so that the trailer has a shorter length and higher walls. Other Materials Needed:36 Dice (16 mm)ProtractorA Ramp (slope needs to be adjustable)The Challenge: Determine the weights that Pull-Robot can pull up different slopes.Procedure:1.Create a ramp with a 10° slope. How many dice (up to 36) can you put in the trailer and still have the car pull them up the ramp? Most likely 36.2.How heavy is this dice load (each die weighs 4.4 g)? 158.4 g, if the load is 36 dice3.Raise the ramp so that it has a 15° slope. Now how many dice can you put in the trailer and still have the car pull them up the ramp? _____4How heavy is this dice load? _______5.Raise the ramp so that it has a 20° slope. Now how many dice can you pull up the ramp? Most likely 06.How heavy is this dice load? Most likely 07.How much heavier is the load that can be pulled up the 10° slope than the load that can be pulled up the 15° slope? _______ How much heavier is the load that can be pulled up the 15° slope than the load that can be pulled up the 20° slope? _______ LEGO WeDo 2.0 Math ChallengeFrog vs. Tadpole Skills Required:Metric LengthSimplifying FractionsMultiplying Fractions by Whole NumbersWhat to Build: The Frog (4a) and the Tadpole (Guided Project 4), assembled so that the left legs of each point in the same direction as the right legs of each. Other Materials Needed:Meter StickStringThe Challenge: Measure how far the Frog travels with a given number of hops and estimate how about how far the Tadpole will travel if taking the same number of hops.Procedure:1.To the nearest multiple of 6, how many mm long is the Tadpole’s back Leg (including the rubber piece)? _______2.To the nearest multiple of 6, how many mm long is the Frog’s back Leg (including the “wheel”)? ______ 3.What fraction represents the relationship between the length of the Tadpole’s back legs compared the Frog’s? (Make answer #1 the numerator and answer #2 the denominator, and simplify) ______4.Have the Frog travel 10 hops on a bare floor. Measure and record the distance traveled in cm. If the frog doesn’t travel in a straight line, use string to mark the curve of its path and then measure the length of the string once you straighten it out. Distance traveled: ______ 5.About how many cm should the Tadpole travel in 10 hops? (Multiply answer #3 by answer #4) ______6.Have the Tadpole travel 10 hops on the same floor, then measure and record this distance in cm: ______7.Was the distance traveled greater than, less than, or equal to the answer to #5? ______plete the chart below. First measure the frog cm traveled, then predict the distance the tadpole will travel in the same number of hops. For this prediction, you should multiply by the fraction in answer #3, and then, if necessary, adjust this answer based on what you discovered in steps #6 and #7.Frog/Tadpole hopsFrog cm TraveledTadpole cm Traveled Calculated PredictionTadpole cm Traveled Actual Distance712515Reflection: Were your predictions close to the actual Tadpole distances traveled________Why do you think this was the case?_________________________________________________________________________________________________________________________________Extra Challenge: About how many hops do you think it will take the frog to travel 3 meters?_____ About how many hops do you think it will take the tadpole to travel this distance? _____ Have each travel these distances and see how close your estimates were.LEGO WeDo 2.0 Math ChallengeFrog vs. Tadpole (KEY)Skills Required:Metric LengthSimplifying FractionsMultiplying Fractions by Whole NumbersWhat to Build: The Frog (4a) and the Tadpole (Guided Project 4), assembled so that the left legs of each point in the same direction as the right legs of each. Other Materials Needed:Meter StickStringThe Challenge: Measure how far the Frog travels with a given number of hops and estimate how about how far the Tadpole will travel if taking the same number of hops.Procedure:1.1.To the nearest multiple of 6, how many mm long is the Tadpole’s back Leg (including the rubber piece)? 36 mm2.To the nearest multiple of 6, how many mm long is the Frog’s back Leg (including the “wheel”)? 54 mm 3.What fraction represents the relationship between the length of the Tadpole’s back legs compared the Frog’s? (Make answer #1 the numerator and answer #2 the denominator, and simplify) 2/34.Have the Frog travel 10 hops on a bare floor. Measure and record the distance traveled in cm. If the frog doesn’t travel in a straight line, use string to mark the curve of its path and then measure the length of the string once you straighten it out. Distance traveled: ______ LEGO WeDo 2.0 Math ChallengeFrog vs. Tadpole (KEY)Skills Required:Metric LengthSimplifying FractionsMultiplying Fractions by Whole NumbersWhat to Build: The Frog (4a) and the Tadpole (Guided Project 4), modified as shown so that the back legs of each point in the opposite directions. Other Materials Needed:Meter StickStringCarpeted/Rug Floor SurfaceThe Challenge: Measure how far the Frog travels with a given number of steps and estimate how about how far the Tadpole will travel if taking the same number of steps.Procedure:1.To the nearest multiple of 6, how many mm long is the Tadpole’s back Leg (including the rubber piece)? 36 mm2.To the nearest multiple of 6, how many mm long is the Frog’s back Leg (including the “wheel”)? 54 mm 3.What fraction represents the relationship between the length of the Tadpole’s back legs compared the Frog’s? (Make answer #1 the numerator and answer #2 the denominator, and simplify) 2/34.Have the Frog travel 10 steps on a carpet/rug floor, counting only left or right leg steps (do not count the steps of both legs combined). Measure and record the distance traveled in cm. If the frog doesn’t travel in a straight line, use string to mark the curve of its path and then measure the length of the string once you straighten it out. Distance traveled: _________LEGO WeDo 2.0 Math ChallengeMantis Mania A Skills Required:Measuring in Centimeters The Four Operations with Whole NumbersWhat to Build: The Mantis (10b), modified as shown to have its hands hanging down from the more narrow white pieces.Other Materials Needed:Metric RulerTwo DiceThree-ring Binder with 1” RingsThe Challenge: Construct a ramp up which the Mantis will push dice. Procedure:All measurements will be in whole cm. When necessary, round to the nearest whole.1.Begin with the mantis’ arms pulled all the way back, and its body propped up as high as possible with its legs completely vertical. Measure and record the height from the desk/table top surface to the bottom tips of the mantis’ “hands.” ______ 2.Now fully extend its arms and again measure and record the height from desk/table top surface to the bottom tips of the mantis’ “hands.” _____ 3.How much higher are the fully extended hands compared to the pulled back hands? (Subtract answer #1 from answer #2.) _____4.How much longer are the fully extended arms compared to the pulled back arms? (One way to find this is by measuring a certain LEGO piece – observe as the arms are extending to figure out which piece this is). _______5.The back cover of the binder will lie flat on the desk/table, and a ramp will begin going up where the spine meets the front cover. Determine the height of the beginning of the ramp by measuring and recording the width of the spine of the binder. __________ 6.The front cover of the notebook will be tilted up (partially opened) to form the slope of the ramp. How long will the ramp be? (In other words, how many cm wide is the front cover?) _____ 7.The Mantis will only push the dice up a portion of the ramp, that portion being the length it can extend its arms. About many times longer is the ramp than the distance the dice will be pushed? (Divide answer #6 by answer #4, do not include the reminder n your answer) ______.8.The height gained by traveling completely up the ramp must also be this many times greater that the height the dice will gain when pushed. What will be the height gain from the beginning of the ramp to the end? (Multiply answer #7 by answer #3)______9.Find the height of the end of the ramp. It should be the sum of the height gain and the height of the beginning of the ramp. (Add answer #5 to answer #8) ______10.How tall is a regular LEGO brick? ______11.How many LEGO bricks high will the end of the ramp be? ______12.Build a stand this many bricks high to prop up the end of the ramp, and then test your ramp with the Mantis and dice to see if it works.Reflection: Did your ramp work? _______ If not, was the slope it too steep (high) or too gradual (low)? ______ Why do you think this was the case? _________________________________________________________________________________________LEGO WeDo 2.0 Math ChallengeMantis Mania A (KEY)Skills Required:Measuring in Centimeters The Four Operations with Whole NumbersWhat to Build: The Mantis (10b), modified as shown to have its hands hanging down from the more narrow white pieces.Other Materials Needed:Metric RulerTwo DiceThree-ring Binder with 1” RingsThe Challenge: Construct a ramp up which the Mantis will push dice. Procedure:All measurements will be in whole cm. When necessary, round to the nearest whole.1.Begin with the mantis’ arms pulled all the way back, and its body propped up as high as possible with its legs completely vertical. Measure and record the height from the desk/table top surface to the bottom tips of the mantis’ “hands.” 5 cm? 2.Now fully extend its arms and again measure and record the height from desk/table top surface to the bottom tips of the mantis’ “hands.” 7 cm 3.How much higher are the fully extended hands compared to the pulled back hands? (Subtract answer #1 from answer #2.) 2 cm4.How much longer are the fully extended arms compared to the pulled back arms? (One way to find this is by measuring a certain LEGO piece - the long skinny white one with “teeth”– observe as the arms are extending to figure out which piece this is). 6 cm5.The back cover of the binder will lie flat on the desk/table, and a ramp will begin going up where the spine meets the front cover. Determine the height of the beginning of the ramp by measuring and recording the width of the spine of the binder. 4 cm6.The front cover of the notebook will be tilted up (partially opened) to form the slope of the ramp. How long will the ramp be? (In other words, how many cm wide is the front cover?) 26 cm7.The Mantis will only push the dice up a portion of the ramp, that portion being the length it can extend its arms. About many times longer is the ramp than the distance the dice will be pushed? (Divide answer #6 by answer #4, do not include the reminder n your answer) 4.8.The height gained by traveling completely up the ramp must also be this many times greater that the height the dice will actually be pushed. What will be the height gain from the beginning of the ramp to the end? (Multiply answer #7 by answer #3) 8 cm9.Find the height of the end of the ramp. It should be the sum of the height gain and the height of the beginning of the ramp. (Add answer #5 to answer #8) 12 cm10.How tall is a regular LEGO brick? 1 cm11.How many LEGO bricks high will the end of the ramp be? 1212.Build a stand this many bricks high to prop up the end of the ramp, and then test your ramp with the Mantis and dice to see if it works.Reflection: Did your ramp work? _______ If not, was the slope it too steep (high) or too gradual (low)? ______ Why do you think this was the case? _________________________________________________________________________________________LEGO WeDo 2.0 Math ChallengeMantis Mania BSkills Required:Measuring in CentimetersEquivalent FractionsMultiplying Fractions by Whole Numbers What to Build: The Mantis (10b), modified as shown to have its hands hanging down from the more narrow white pieces.Other Materials Needed:Metric RulerTwo diceThree-ring Binder with 1” RingsThe Challenge: Construct a ramp up which the Mantis will push dice. Procedure:All measurements will be in whole cm. Ignore any remainders in division solutions.1.Begin with the mantis’ arms pulled all the way back, and its body propped up as high as possible with its legs completely vertical. Measure and record the height from the desk/table top surface to the bottom tips of the mantis’ “hands.” ______ 2.Now fully extend its arms and again measure and record the height from desk/table top surface to the bottom tips of the mantis’ “hands.” _____ 3.How much higher are the fully extended hands compared to the pulled back hands? (Subtract answer #1 from answer #2.) _____4.How much longer are the fully extended arms compared to the pulled back arms? (One way to find this is by measuring a certain LEGO piece – observe as the arms are extending to figure out which piece this is). _______5.The back cover of the binder will lie flat on the desk/table, and a ramp will begin going up where the spine meets the front cover. Determine the height of the beginning of the ramp by measuring and recording the width is the spine of the binder. __________ 6.The front cover of the notebook will be tilted up (partially opened) to form the slope of the ramp. How long will the ramp be? (In other words, how many cm wide is the front cover?) _____ 7.The height to be gained by the dice is a fraction of the distance the dice is to be pushed. What is this fraction? (Make answer #3 your numerator and answer #4 your denominator and simplify) ______.8.The height gained by traveling completely up the ramp must also be about this fraction of the length of the ramp. What will be the height gain from the beginning of the ramp to the end? (Multiply answer #7 by answer #6 include only the whole number in your answer) ______9.Find the height that the end (highest part) of the ramp will need to be. It should be the sum of the height gain and the height of the beginning (lowest part) of the ramp. (Add answer #5 to answer #8) ______10.How tall is a regular LEGO brick? ______11.How many LEGO bricks high will the end of the ramp be? ______12.Build a stand this many bricks high to prop up the end of the ramp, and then test you ramp with the Mantis and dice to see if it works.Reflection: Did your ramp work? _______ If not, was the slope it too steep (high) or too gradual (low)? ______ Why do you think this was the case? _________________________________________________________________________________________LEGO WeDo 2.0 Math ChallengeMantis Mania B (KEY)Skills Required:Measuring in CentimetersEquivalent FractionsMultiplying Fractions by Whole Numbers What to Build: The Mantis (10b), modified as shown to have its hands hanging down from the more narrow white pieces.Other Materials Needed:Metric RulerTwo diceThree-ring Binder with 1” RingsThe Challenge: Construct a ramp up which the Mantis will push dice. Procedure:All measurements will be in whole cm. Ignore any remainders in division solutions.1.Begin with the mantis’ arms pulled all the way back, and its body propped up as high as possible with its legs completely vertical. Measure and record the height from the desk/table top surface to the bottom tips of the mantis’ “hands.” 5 cm2.Now fully extend its arms and again measure and record the height from desk/table top surface to the bottom tips of the mantis’ “hands.” 7 cm3.How much higher are the fully extended hands compared to the pulled back hands? (Subtract answer #1 from answer #2.) 2 cm4.How much longer are the fully extended arms compared to the pulled back arms? (One way to find this is by measuring a certain LEGO piece (the long skinny white one with “teeth”– observe as the arms are extending to figure out which piece this is). 6 cm5.The back cover of the binder will lie flat on the desk/table, and a ramp will begin going up where the spine meets the front cover. Determine the height of the beginning of the ramp by measuring and recording the width of the spine of the binder. 4 cm6.The front cover of the notebook will be tilted up (partially opened) to form the slope of the ramp. How long will the ramp be? (In other words, how many cm wide is the front cover?) 26 cm7.The height to be gained by the dice is a fraction of the distance the dice is to be pushed. What is this fraction? (Make answer #3 your numerator and answer #4 your denominator and simplify) 1/3.8.The height gained by traveling completely up the ramp must also be about this fraction of the length of the ramp. What will be the height gain from the beginning of the ramp to the end? (Multiply answer #7 by answer #6, include only the whole number in your answer) 4 cm9.Find the height of the end of the ramp. It should be the sum of the height gain and the height of the beginning of the ramp. (Add answer # 5 to answer # 8) 12 cm10.How tall is a regular LEGO brick? 1 cm11.How many LEGO bricks high will the end of the ramp be? 1212.Build a stand this many bricks high to prop up the end of the ramp, and then test your ramp with the Mantis and dice to see if it works.Reflection: Did your ramp work? _______ If not, was the slope it too steep (high) or too gradual (low)? ______ Why do you think this was the case? _________________________________________________________________________________________LEGO WeDo 2.0 Math ChallengeSteer Car Square Course Skills Required:Measuring in Inches Right Angles Calculating Quotients ending in .5 What to Build: Steer (12).Other Materials Needed:Yard StickMasking TapeThe Challenge: Program the Steer Car to travel around a square course.Procedure:All measurements will be inches. 1.On a bare floor use tape to form the perimeter of a one yard by one yard square. 2.You will program the steer car to travel once around the perimeter. The car will go counterclockwise, making three left hand turns. The car should finish very near to its starting point. How many long is each of the four straight sections? ____________3.The car “loses” about 9 inches in distance each time it begins a turn and each time it ends a turn. How far will the car need to travel on the first straightaway before it starts to turn? (add 9 to answer #2)______ This number will also be the distance it needs to travel on the fourth straightaway, because this segment of the trip occurs after the final turn.4.Both the second and third straightaways are before and after turns. How far will the car need to travel on each of these two straightaways (add the product of 9 and 2 to answer #2) _______5.You will program the motor to turn at a speed of 8. If the car travels about 6 inches per second at this speed, how many seconds will it take the car to travel the necessary length of first and fourth straightaways (divide answer #3 by 6; write the quotient as a decimal) _______? 6.At this speed, how many seconds will it take the car to travel the necessary length of the second and third straightaways (divide answer #4 by 6) _______? 7.What type of angle will each turn need to be (obtuse, acute, or right?) ______How many degrees is this angle? _______ To make this angle turning left, the car will also have to make a turn of this many degrees.8.A complete circle is 360 degrees. How many of the car’s turns will make up a complete circle? (Divide 360 by answer #7) ______9At the speed of 8 the cars makes a complete circle in about 10 seconds. About how many seconds will it take the car to make each turn (divide 10 by answer #8 and write the quotient as a decimal) _______? 10.Now create the program for the car, using all these numbers, and test it on the course. The car is allowed to leave the course as it is making turns, but otherwise it should stay near the course and end up near where it began. If your car does not complete the course successfully, modify the program and try again.Reflection: Did your program work the first time you tried it? _______ If not, was the problem related to the turns or distances traveled on the straightaways? ______ How did you attempt to fix this problem? _____________________________________________________________________________________________________________LEGO WeDo 2.0 Math ChallengeSteer Car Square Course (KEY) Skills Required:Measuring in Inches Right Angles Calculating Quotients ending in .5 What to Build: Steer (12).Other Materials Needed:Yard StickMasking TapeThe Challenge: Program the Steer Car to travel around a square course.Procedure:All measurements will be inches. 1.On a bare floor use tape to form the perimeter of a one yard by one yard square. 2.You will program the steer car to travel once around the perimeter. The car will go counterclockwise, making three left hand turns. The car should finish very near to its starting point. How many long is each of the four straight sections? 36 in3.The car “loses” about 9 inches in distance each time it begins a turn and each time it ends a turn. How far will the car need to travel on the first straightaway before it starts to turn? (add 9 to answer #2) 45 in This number will also be the distance it needs to travel on the fourth straightaway, because this segment of the trip occurs after the final turn.4.Both the second and third straightaways are before and after turns. How far will the car need to travel on each of these two straightaways? (add the product of 9 and 2 to answer #2) 54 in5.You will program the motor to turn at a speed of 8. If the car travels about 6 inches per second at this speed, how many seconds will it take the car to travel the necessary length of first and fourth straightaways? (divide answer #3 by 6; write the quotient as a decimal) 7.5 6.At this speed, how many seconds will it take the car to travel the necessary length of the second and third straightaways (divide answer #4 by 6) 9? 7.What type of angle will each turn need to be (obtuse, acute, or right?) rightHow many degrees is this angle? 90 To make this angle turning left, the car will also have to make a turn of this many degrees.8.A complete circle is 360 degrees. How many of the car’s turns will make up a complete circle? (Divide 360 by answer #7) 49At the speed of 8 the cars makes a complete circle in about 10 seconds. About how many seconds will it take the car to make each turn (divide 10 by answer #8 and write the quotient as a decimal) 2.5? 10.Now create the program for the car, using all these numbers, and test it on the course. The car is allowed to leave the course as it is making turns, but otherwise it should stay near the course and end up near where it began. If your car does not complete the course successfully, modify the program and try again.Reflection: Did your program work the first time you tried it? _______ If not, was the problem related to the turns or distances traveled on the straightaways? ______ How did you attempt to fix this problem? _____________________________________________________________________________________________________________LEGO WeDo 2.0 Math ChallengeSteer Car Equilateral Triangle Course Skills Required:Converting Between Yards and Inches Angles and Rotation DegreesCalculating Quotients ending in .5 What to Build: Steer (12).Other Materials Needed:Yard StickMasking TapeThe Challenge: Program the Steer Car to travel around an equilateral triangle course.Procedure:All measurement answers should be in inches. 1.On a bare floor use tape to form the perimeter of an equilateral triangle in which all sides are a yard and a half long. 2.You will program the steer car to travel once around the perimeter. The car will go counterclockwise, making two left hand turns. The car should finish very near to its starting point. How many long is each of the three straight sections? ____________3.The car “loses” about 9 inches in distance each time it begins a turn and each time it ends a turn. How far will the car need to travel on the first straightaway before it starts to turn? (add 9 to answer #2)______ This number will also be the distance it needs to travel on the third straightaway, because this segment of the trip occurs after the final turn.4.The second straightaway is before and after a turn. How far will the car need to travel on each of these two straightaways? (add the product of 9 and 2 to answer #2) _______5.You will program the motor to turn at a speed of 8. If the car travels about 6 inches per second at this speed, how many seconds will it take the car to travel the necessary length of first and third straightaways (divide answer #3 by 6; write the quotient as a decimal)? _______ 6.At this speed, how many seconds will it take the car to travel the necessary length of the second straightaway? (divide answer #4 by 6) _______ 7.The sum of the measurements of triangle angles is always 180.How many degrees is each angle? (divide 180 by 3) _______ 8.To make this angle turning left, the car will have to make a turn (rotation) equal the difference between 180 (which would be a complete “turn around”) and the angle created by the turn. How many degrees will the car need to rotate (turn)? (subtract answer #7 from 180) _______9.A complete circle is 360 degrees. How many of the car’s turns will make up a complete circle? (Divide 360 by answer #8) ______10At the speed of 8 the cars makes a complete circle in about 10 seconds. About how many seconds will it take the car to make each turn (divide 10 by answer #9 and record a whole number quotient, ignoring any remainder) _______? 11.Now create the program for the car, using all these numbers, and test it on the course. The car is allowed to leave the course as it is making turns, but otherwise it should stay near the course and end up near where it began. If your car does not complete the course successfully, modify the program and try again.Reflection: Did your program work the first time you tried it? _______ If not, was the problem related to the turns or distances traveled on the straightaways? ______ How did you attempt to fix this problem? ____________________________________________________________________________________________________________________________________LEGO WeDo 2.0 Math ChallengeSteer Car Equilateral Triangle Course (KEY)Skills Required:Converting Between Yards and Inches Angles and Rotation DegreesCalculating Quotients ending in .5 What to Build: Steer (12).Other Materials Needed:Yard StickMasking TapeThe Challenge: Program the Steer Car to travel around an equilateral triangle course.Procedure:All measurement answers should be in inches. 1.On a bare floor use tape to form the perimeter of an equilateral triangle in which all sides are a yard and a half long. 2.You will program the steer car to travel once around the perimeter. The car will go counterclockwise, making two left hand turns. The car should finish very near to its starting point. How many long is each of the three straight sections? 54 in3.The car “loses” about 9 inches in distance each time it begins a turn and each time it ends a turn. How far will the car need to travel on the first straightaway before it starts to turn? (add 9 to answer #2) 63 in This number will also be the distance it needs to travel on the third straightaway, because this segment of the trip occurs after the final turn.4.The second straightaway is before and after a turn. How far will the car need to travel on each of these two straightaways? (add the product of 9 and 2 to answer #2) 72 in5.You will program the motor to turn at a speed of 8. If the car travels about 6 inches per second at this speed, how many seconds will it take the car to travel the necessary length of first and third straightaways? (divide answer #3 by 6; write the quotient as a decimal) 6.At this speed, how many seconds will it take the car to travel the necessary length of the second straightaway? (divide answer #4 by 6) 12 in? 7.The sum of the measurements of triangle angles is always 180.How many degrees is each angle? (divide 180 by 3) 60 8.To make this angle turning left, the car will have to make a turn (rotation) equal the difference between 180 (which would be a complete “turn around”) and the angle created by the turn. How many degrees will the car need to rotate (turn)? (subtract answer #7 from 180) 1209.A complete circle is 360 degrees. How many of the car’s turns will make up a complete circle? (Divide 360 by answer #8) 310At the speed of 8 the cars makes a complete circle in about 10 seconds. About how many seconds will it take the car to make each turn (divide 10 by answer #9 and record a whole number quotient, ignoring any remainder) 3? 11.Now create the program for the car, using all these numbers, and test it on the course. The car is allowed to leave the course as it is making turns, but otherwise it should stay near the course and end up near where it began. If your car does not complete the course successfully, modify the program and try again.Reflection: Did your program work the first time you tried it? _______ If not, was the problem related to the turns or distances traveled on the straightaways? ______ How did you attempt to fix this problem? ____________________________________________________________________________________________________________________________________LEGO WeDo 2.0 Math ChallengeDump ItSkills Required:Adding, Subtracting, and Multiplying DecimalsWhat to Build: The Recycling Truck (8a)Other Materials Needed:7 Dice (16 mm)7 Square LEGO BricksThe Challenge: Determine the heaviest possible weight you can get the truck to dump.Procedure:1.Examine one square brick and one die. Each die weighs 4.4 g and each brick weighs 1.16 g. Which is heavier, a die or a brick?_____ How much heavier? ____2.You will fill the bed of the truck with loads of 8 items, in a single 2 x 4 layer (no stacking). The loads will consist of different combinations of dice and square LEGO bricks. You will test dumping each combination with the dice at the front end of the bed (closest to the cab) and the bricks at the back, and you will also test each combination with the dice at the back and the bricks at the front. Do you think you will be able to dump a heavier load with the dice at the front, with the dice at the back, or do you think the arrangement will make no difference in the weight you can dump? _______________ Why do you think this?__________________________________________________________________ ______________________________________________________________________ 3.Create a program to get the truck to dump at the speed of 10. Have the truck attempt to dump the different combinations of dice and bricks listed on the data charts on the next page. Calculate the total weight of the load and record it on the chart Next, test to see if each load will dump with all the dice at the front, and then test it with all the dice at the back. Record your results by writing “yes” or “no” in the appropriate columns.Number of DiceNumber of BricksTotal Weight (g)Does it Dump with the Dice at the Front and the Bricks at the Back?Does it Dump with the Bricks at the Front and the Dice at the Back?172635445362714.What is the greatest amount of weight that could be dumped with the dice at the front and the bricks at the back?:_______5.What is the greatest amount of weight that could be dumped with the bricks at the front and the dice at the back?:_______6.Were you able to dump a heavier load with the dice at the front, at the back, or did the arrangement make no difference in the weight you could dump? ________ If there was a difference in total weight dumped between these two arrangements, what was this difference? (subtract the lesser total from the greater total in answers #4 and #5.) ___________7.Was your hypothesis (answer #2) correct?______ Why do you think this was the case? _____________________________________________________________________ ______________________________________________________________________Extra Challenge: Use the chart to help you determine the weight of 8 dice ______ and 8 bricks ______ (In other word, find these values without multiplying 8 by the weight of one unit).LEGO WeDo 2.0 Math ChallengeDump It (KEY)Skills Required:Adding, Subtracting, and Multiplying DecimalsWhat to Build: The Recycling Truck (8a)Other Materials Needed:7 Dice (16 mm)7 Square LEGO BricksThe Challenge: Determine the heaviest possible weight you can get the truck to dump.Procedure:1.Examine one square brick and one die. Each die weighs 4.4 g and each brick weighs 1.16 g. Which is heavier, a die or a brick? A die How much heavier? 3.24 g2.You will fill the bed of the truck with loads of 8 items, in a single 2 x 4 layer (no stacking). The loads will consist of different combinations of dice and square LEGO bricks. You will test dumping each combination with the dice at the front end of the bed (closest to the cab) and the bricks at the back, and you will also test each combination with the dice at the back and the bricks at the front. Do you think you will be able to dump a heavier load with the dice at the front, with the dice at the back, or do you think the arrangement will make no difference in the weight you can dump? _______________ Why do you think this?__________________________________________________________________ ______________________________________________________________________ 3.Create a program to get the truck to dump at the speed of 10. Have the truck attempt to dump the different combinations of dice and bricks listed on the data charts on the next page. Calculate the total weight of the load and record it on the chart Next, test to see if each load will dump with all the dice at the front, and then test it with all the dice at the back. Record your results by writing “yes” or “no” in the appropriate columns.Number of DiceNumber of BricksTotal Weight (g)Does it Dump with the Dice at the Front and the Bricks at the Back?Does it Dump with the Bricks at the Front and the Dice at the Back?1712.522615.7635194422.245325.486228.727131.964.What is the greatest amount of weight that could be dumped with the dice at the front and the bricks at the back?:_______5.Were you able to dump a heavier load with the dice at the front, at the back, or did the arrangement make no difference in the weight you could dump? Dice at the back If there was a difference in total weight dumped between these two arrangements, what was this difference? (subtract the lesser total from the greater total in answers #4 and #5.) ___________7.Was your hypothesis (answer #2) correct?______ Why do you think this was the case? _____________________________________________________________________ _____________________________________________________________________Extra Challenge: Use the chart to help you determine the weight of 8 bricks 9.28 g and of 8 dice 35.2 g (In other words, find these values without multiplying 8 by the weight of one unit).Explanation: 12.52 – 3.24 = 9.28 g and 31.96 + 3.24 = 35.2. 3.24 is the difference between the weight of one brick and one die, and this is also the amount by which the values on the chart are increasing.LEGO WeDo 2.0 Math ChallengeEarthquakeSkills Required:Calculating Area Optional Skills Required:Calculating Volume (Earthquake Data Chart Versions B and C)Multiplying Decimals (Earthquake Data Chart Version B)Multiplying Fractions (Earthquake Data Chart Version C)What to Build: Earthquake (3a); modified as shown so that a base plate is the “ground” for the quake.Other Materials Needed:36 DiceThe Challenge: Calculate the dimensions of various dice “buildings” and observe how long they can survive the earthquakeProcedure:1.What kind of dice “building” do you think will survive longer in an earthquake – one that is lower and longer, or one that is higher and shorter in length? ______2.You will build 3 different rectangular prism buildings out of 36 dice, each having a base width of 3 dice. The first building will be 2 dice high, the second will be 3 dice high, and the third will be 4 dice high. As the buildings get higher, the length will shorten.3.As you build each building, use your math skills to calculate the dimensions and record them on the “Earthquake Data Chart.”4.Test how long each building survives an earthquake by dong the following: Run a program in which the motor rotates at a speed of 2. Hold the motor still during the “quake,” but do not touch the baseplate. First run the program for 1 second. If the building survives, run a 2-second program, then continue adding one second at a time to the program (leaving the speed at 2) until at least one die falls over. Once that happens, record the programmed time minus one under the “Seconds Survived” column. If the building survives a 10-second quake, then stop testing this building and write “10+” under “Seconds Survived.” Earthquake Data Chart Version AHeightBase WidthBase LengthBase AreaVolumeSeconds Survived2 Dice3 Dice36 Dice3 Dice3 Dice36 Dice4 Dice3 Dice36 Dice5.After you have finished testing all three buildings and completed your “Earthquake Data Chart,” reflect back on your hypothesis (answer #1). Were you correct?__________Why or why not? __________________________________________________________________________________________________________________________4.Test how long each building survives an earthquake by dong the following: Run a program in which the motor rotates at a speed of 2. Hold the motor still during the “quake,” but do not touch the baseplate. First run the program for 1 second. If the building survives, run a 2-second program, then continue adding one second at a time to the program (leaving the speed at 2) until at least one die falls over. Once that happens, record the programmed time minus one under the “Seconds Survived” column. If the building survives a 10-second quake, then stop testing this building and write “10+” under “Seconds Survived.” Earthquake Data Chart Version BA side of a die is 1.6 cm longHeightin DiceHeightin cmBase Widthin DiceBase Widthin cmBase Lengthin DiceBase Lengthin cmBase Areain DiceBase Areaincm2Volumein DiceVolumein cm3Seconds Survived2 3 36 3 3 36 43 36 5.After you have finished testing all three buildings and completed your “Earthquake Data Chart,” reflect back on your hypothesis (answer #1). Were you correct?__________Why or why not? __________________________________________________________________________________________________________________________4.Test how long each building survives an earthquake by dong the following: Run a program in which the motor rotates at a speed of 2. Hold the motor still during the “quake,” but do not touch the baseplate. First run the program for 1 second. If the building survives, run a 2-second program, then continue adding one second at a time to the program (leaving the speed at 2) until at least one die falls over. Once that happens, record the programmed time minus one under the “Seconds Survived” column. If the building survives a 10-second quake, then stop testing this building and write “10+” under “Seconds Survived.” Earthquake Data Chart Version CA side of a die is 5/8 inches longHeightin DiceHeightin cmBase Widthin DiceBase Widthin cmBase Lengthin DiceBase Lengthin cmBase Areain DiceBase Areaincm2Volumein DiceVolumein cm3Seconds Survived2 3 36 3 3 36 43 36 5.After you have finished testing all three buildings and completed your “Earthquake Data Chart,” reflect back on your hypothesis (answer #1). Were you correct?__________Why or why not? __________________________________________________________________________________________________________________________Earthquake Data Charts (KEY)Version AHeightBase WidthBase LengthBase AreaVolumeSeconds Survived2 Dice3 Dice6 Dice18 Dice36 Dice3 Dice3 Dice4 Dice12 Dice36 Dice4 Dice3 Dice3 Dice9 Dice36 DiceVersion B; a side of a die is 1.6 cm long.Heightin DiceHeightin cmBase Widthin DiceBase Widthin cmBase Lengthin DiceBase Lengthin cmBase Areain DiceBase Areaincm2Volumein DiceVolumein cm3Seconds Survived2 3.23 4.869.618 46.0836 147.4563 4.83 4.846.412 30.7236 147.45646.43 4.834.89 23.0436 147.456Version C; a side of a die is 5/8 inches long.Heightin DiceHeightin cmBase Widthin DiceBase Widthin cmBase Lengthin DiceBase Lengthin cmBase Areain DiceBase Areaincm2Volumein DiceVolumein cm3Seconds Survived2 1?3 1 7/8633/418 7 1/3236 8 101/1283 1 7/83 1 7/842?12 4 11/1636 8 101/12842?3 1 7/8317/89 3 33/6436 8 101/128LEGO WeDo 2.0 Math ChallengeBee Revolution Skills Required:Adding, Multiplying and Rounding DecimalsWhat to Build: The Flower (5a; Actually, you only build the bee. The flower is not necessary)The Challenge: Calculate how many revolutions the bee will make, given its programmed speed and time.Procedure:1.At a speed of 1, the bee makes about 0.6 revolutions during the first second of the program and 0.45 revolutions for every second thereafter. About how many revolutions should the bee make during 7 seconds at a speed of 1?______2.Run a program in which the bee revolves for 8 seconds at a speed of 1, and count the revolutions. Was your estimation (answer #1) close?______ 3.At a speed of 3, the bee makes about .8 revolutions during the first second of the program and 0.65 revolutions for every second thereafter. About how many revolutions should the bee make during 8 seconds at a speed of 3? ______4.Run a program in which the bee revolves for 8 seconds at a speed of 3, and count the revolutions. Was your estimation (answer #3) close? ______ 5.At a speed of 5, the bee makes about 1.1 revolutions during the first second of the program and 0.75 revolutions for every second thereafter. About how many revolutions should the bee make during 10 seconds at a speed of 5?______6.Run a program in which the bee revolves for 10 seconds at a speed of 5, and count the revolutions. Was your estimation (answer #5) close? ______ Extra Challenge: About how many revolutions should the bee make with a program in which the bee revolves for 6 seconds at a speed of 1, then 6 seconds at a speed of 3, and then 6 seconds at a speed of 5?______ Test your calculations by writing this program and running it.LEGO WeDo 2.0 Math ChallengeBee Revolution (KEY)Skills Required:Adding, Multiplying and Rounding DecimalsWhat to Build: The Flower (5a; Actually, you only build the bee. The flower is not necessary)The Challenge: Calculate how many revolutions the bee will make, given its programmed speed and time.Procedure:1.At a speed of 1, the bee makes about 0.6 revolutions during the first second of the program and 0.45 revolutions for every second thereafter. About how many revolutions should the bee make during 7 seconds at a speed of 1? 32.Run a program in which the bee revolves for 7 seconds at a speed of 1, and count the revolutions. Was your estimation (answer #1) close? ______ 3.At a speed of 3, the bee makes about .8 revolutions during the first second of the program and 0.65 revolutions for every second thereafter. About how many revolutions should the bee make during 8 seconds at a speed of 3? 54.Run a program in which the bee revolves for 8 seconds at a speed of 3, and count the revolutions. Was your estimation (answer #3) close? ______ 5.At a speed of 5, the bee makes about 1.1 revolutions during the first second of the program and 0.75 revolutions for every second thereafter. About how many revolutions should the bee make during 10 seconds at a speed of 5? 86.Run a program in which the bee revolves for 10 seconds at a speed of 5, and count the revolutions. Was your estimation (answer #5) close? ______ Extra Challenge: About how many revolutions should the bee make with a program in which the bee revolves for 6 seconds at a speed of 1, then 6 seconds at a speed of 3, and then 6 seconds at a speed of 5? 11 Test your calculations by writing this program and running it.LEGO WeDo 2.0 Math ChallengeGear Machine 16:8 Skills Required:Basic Multiplication/Division FactsGears Needed:What to Build: The same gear machine is pictured twice, from two different sides. The Challenge: Determine the relationship between the number of blue handle turns and the number of green handle turns.Procedure:1.How many teeth are on the gear turned directly by the blue handle?____2.How many teeth are on the gear turned directly by the green handle?____3.How many times bigger is the gear turned directly by blue handle compared to the one turned directly by the green handle? (divide answer #1 by answer #2) _____ 4.Turn the blue handle completely around once. Does the green handle turns this many (answer to #3) times?______ If not, check your work for steps 1-3.5.Now complete the chart below. To find “Green Handle Turns,” multiply “Blue Handle Turns” by answer #3. You can then check your answers by turning the blue handle and counting the turns of the green handle.Blue Handle TurnsGreen Handle Turns1234567891011126.Use the chart to fill in the blanks below. a.3 x 2 =___b.__ x 2 = 10c.7 x 2 = __d.2 x 5 =___e.__ x 2 = 20f.6 x 2 =__ g. __ x 2 = 8h.8 x 2 =__i.2 x __ = 4j.__ x 2 = 22k.__ x 2 = 2 l.2 x __ = 18LEGO WeDo 2.0 Math ChallengeGear Machine 16:8 (Multiples of 2; KEY)Skills Required:Basic Multiplication/Division FactsGears Needed:What to Build: The same gear machine is pictured twice, from two different sides. The Challenge: Determine the relationship between the number of blue handle turns and the number of green handle turns.Procedure:1.How many teeth are on the gear turned directly by the blue handle? 162.How many teeth are on the gear turned directly by the green handle? 83.How many times bigger is the gear turned directly by blue handle compared to the one turned directly by the green handle? (divide answer #1 by answer #2) 24.Turn the blue handle completely around once. Does the green handle turns this many (answer to #3) times?______ If not, check your work for steps 1-3.LEGO WeDo 2.0 Math ChallengeGear Machine 24:8 Skills Required:Basic Multiplication/Division FactsGears Needed:What to Build: The same gear machine is pictured twice, from two different sides. The Challenge:Determine the relationship between the number of green handle turns to number of blue handle turns.Procedure:1.How many teeth are on the gear turned directly by the blue handle?____2.How many teeth are on the gear turned directly by the green handle?____3.How many times bigger is the gear turned directly by blue handle compared to the one turned directly by the green handle? (divide answer #1 by answer #2) _____ 4.Turn the blue handle completely around once. Does the green handle turns this many (answer to #3) times?______ If not, check your work for steps 1-3.5.Now complete the chart below. To find “Green Handle Turns,” multiply “Blue Handle Turns” by answer #3. You can then check your answers by turning the blue handle and counting the turns of the green handle.Blue Handle TurnsGreen Handle Turns1234567891011126.Use the chart to fill in the blanks below. a.3 x 3 =___b.__ x 3 = 27c.7 x 3 = __d.3 x 5 =___e.__ x 3 = 33f.3 x 10 =__ g. __ x 3 = 3h.8 x 3 =__i.3 x __ = 36j.__ x 3 = 18k.__ x 3 = 6 l.3 x __ = 12LEGO WeDo 2.0 Math ChallengeGear Machine 24:8 (Multiples of 3; KEY)Skills Required:Basic Multiplication/Division FactsGears Needed:What to Build: The same gear machine is pictured twice, from two different sides. The Challenge:Determine the relationship between the number of green handle turns to number of blue handle turns.Procedure:.How many teeth are on the gear turned directly by the blue handle? 242.How many teeth are on the gear turned directly by the green handle? 83.How many times bigger is the gear turned directly by blue handle compared to the one turned directly by the green handle? (divide answer #1 by answer #2) 34.Turn the blue handle completely around once. Does the green handle turns this many (answer to #3) times?______ If not, check your work for steps 1-3.LEGO WeDo 2.0 Math ChallengeGear Machine 40:8 Skills Required:Basic Multiplication/Division FactsGears Needed:What to Build: The same gear machine is pictured twice, from two different sides.. The Challenge:Determine the relationship between the number of blue handle turns and the number of green handle turns.Procedure:1.How many teeth are on the gear turned directly by the blue handle?____2.How many teeth are on the gear turned directly by the green handle?____3.How many times bigger is the gear turned directly by blue handle compared to the one turned directly by the green handle? (divide answer #1 by answer #2) _____ 4.Turn the blue handle completely around once. Does the green handle turns this many (answer to #3) times?______ If not, check your work for steps 1-3.5.Now complete the chart below. To find “Green Handle Turns,” multiply “Blue Handle Turns” by answer #3. You can then check your answers by turning the blue handle and counting the turns of the green handle.Blue Handle TurnsGreen Handle Turns1234567891011126.Use the chart to fill in the blanks below. a.5 x 2 =___b.__ x 5 = 20c.7 x 5 = __d.12 x 5 =___e.__ x 5 = 40f.6 x 5 =__ g. __ x 5 = 5h.9 x 5 =__i.5 x __ = 15j.__ x 5 = 55k.__ x 5 = 25 l.5 x __ = 50LEGO WeDo 2.0 Math ChallengeGear Machine 40:8 (Multiples of 5; KEY)Skills Required:Basic Multiplication/Division FactsGears Needed:What to Build: The same gear machine is pictured twice, from two different sides.. The Challenge:Determine the relationship between the number of blue handle turns and the number of green handle turns.Procedure:1.How many teeth are on the gear turned directly by the blue handle? 402.How many teeth are on the gear turned directly by the green handle? 83.How many times bigger is the gear turned directly by blue handle compared to the one turned directly by the green handle? (divide answer #1 by answer #2) 54.Turn the blue handle completely around once. Does the green handle turns this many (answer to #3) times?______ If not, check your work for steps 1-3.LEGO WeDo 2.0 Math ChallengeGear Machine 16:8 & 16:8Skills Required:Basic Multiplication/Division FactsGears Needed:What to Build: The same gear machine is pictured twice, from two different sides. The Challenge:Determine the relationship between the number of blue handle turns and the number of green handle turns.Procedure:1.How many teeth are on the gear turned directly by the blue handle? _____ 2.How many teeth are on the gear connected to the gear turned directly by the blue handle? _____3.How many times bigger is the gear turned directly by blue handle compared to its connecting gear? (divide answer #1 by answer #2) _____4.How many teeth are on the gear on the other end of the axle from the gear in answer #2? _____5.How many teeth are on the gear turned directly by the green handle? _____6.How many times bigger is the gear in answer #4 compared to the gear turned directly by the green handle (divide answer #4 by answer #5) _____7.To find the number of times green handle turns for each blue handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #3 times answer #6) _____. 8.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #7) times?______ If not, check your work for steps 1-7.9.Now complete the chart below. To find “Green Handle Turns,” multiply “Blue Handle Turns” by answer #7. You can then check your answers by turning the blue handle and counting the turns of the green handle.Blue Handle TurnsGreen Handle Turns12345678910111210.Use the chart to fill in the blanks below. a.10 x 4 =___b.__ x 4 = 28c.12 x 4 = 48d.4 x 9 =___e.__ x 4 = 24f.2 x 4 =___ g. __ x 4 = 4h.__ x 4 = 20i.4 x __ = 44j.__ x 4 = 16k.3 x 4 =___l.4 x ___ = 32Gear Machine 16:8 & 16:8 (Multiples of 4; KEY)Procedure:1.How many teeth are on the gear turned directly by the blue handle? 16 2.How many teeth are on the gear connected to the gear turned directly by the blue handle? 83.How many times bigger is the gear turned directly by blue handle compared to its connecting gear? (divide answer #1 by answer #2) 24.How many teeth are on the gear on the other end of the axle from the gear in answer #2? 165.How many teeth are on the gear turned directly by the green handle? 86.How many times bigger is the gear in answer #4 compared to the gear turned directly by the green handle (divide answer #4 by answer #5) 27.To find the number of times green handle turns for each blue handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #3 times answer #6) 4. 8.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #7) times?______ If not, check your work for steps 1-7.LEGO WeDo 2.0 Math ChallengeGear Machine 16:8 & 24:8Skills Required:Basic Multiplication/Division FactsGears Needed:What to Build: The same gear machine is pictured twice, from two different sides.The Challenge:Determine the relationship between the number of blue handle turns and the number of green handle turns.Procedure:1.How many teeth are on the gear turned directly by the blue handle?____2.How many teeth are on the gear connected to the gear turned directly by the blue handle?____3.How many times bigger is the gear turned directly by blue handle compared to its connecting gear? (divide answer #1 by answer #2) _____4.How many teeth are on the gear on the other end of the axle from the gear in answer #2?______5.How many teeth are on the gear turned directly by the green handle?____6.How many times bigger is the gear in answer #4 compared to the gear turned directly by the green handle (divide answer #4 by answer #5) _____7.To find the number of times green handle turns for each blue handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #3 times answer #6) _____. 8.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #7) times?______ If not, check your work for steps 1-7.9.Now complete the chart below. To find “Green Handle Turns,” multiply “Blue Handle Turns” by answer #7. You can then check your answers by turning the blue handle and counting the turns of the green handle.Blue Handle TurnsGreen Handle Turns12345678910111210.Use the chart to fill in the blanks below. a.3 x 6 =___b.__ x 6 = 48c.12 x 6 =___d.6 x 9 =___e.__ x 6 = 42f.2 x 6 =___ g.4 x 6 =___h.6 x ___ = 66i.__ x 6 = 36j.10 x 6 =___k.6 x ___ = 6l.___ x 6 = 30LEGO WeDo 2.0 Math ChallengeGear Machine 16:8 & 24:8 (Multiples of 6; KEY)Procedure:1.How many teeth are on the gear turned directly by the blue handle? 162.How many teeth are on the gear connected to the gear turned directly by the blue handle? 83.How many times bigger is the gear turned directly by blue handle compared to its connecting gear? (divide answer #1 by answer #2) 24.How many teeth are on the gear on the other end of the axle from the gear in answer #2? 245.How many teeth are on the gear turned directly by the green handle? 86.How many times bigger is the gear in answer #4 compared to the gear turned directly by the green handle (divide answer #4 by answer #5) 37.To find the number of times green handle turns for each blue handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #3 times answer #6) 68.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #7) times?______ If not, check your work for steps 1-7.Gear Machine 24:8 & 24:8Skills Required:Basic Multiplication/Division FactsGears Needed:What to Build: The same gear machine is pictured twice, from two different sides. The Challenge:Determine the relationship between the number of blue handle turns and the number of green handle turns.Procedure:1.How many teeth are on the gear turned directly by the blue handle?____2.How many teeth are on the gear connected to the gear turned directly by the blue handle?____3.How many times bigger is the gear turned directly by blue handle compared to its connecting gear? (divide answer #1 by answer #2) _____4.How many teeth are on the gear on the other end of the axle from the gear in answer #2?______5.How many teeth are on the gear turned directly by the green handle?____6.How many times bigger is the gear in answer #4 compared to the gear turned directly by the green handle (divide answer #4 by answer #5) _____7.To find the number of times green handle turns for each blue handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #3 times answer #6) _____. 8.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #7) times?______ If not, check your work for steps 1-7.9.Now complete the chart below. To find “Green Handle Turns,” multiply “Blue Handle Turns” by answer #7. You can then check your answers by turning the blue handle and counting the turns of the green handle.Blue Handle TurnsGreen Handle Turns12345678910111210.Use the chart to fill in the blanks below. a.9 x 9 =___b.__ x 9 = 9c.7 x 9 = __d.9 x 5 =___e.__ x 9 = 99f.6 x 9 =__ g. __ x 9 = 18h.__ x 9 = 36i.9 x __ = 72j.__ x 9 = 27k.10 x 9 =__l.9 x __ = 108Gear Machine 24:8 & 24:8 (Multiples of 9; KEY)Procedure:1.How many teeth are on the gear turned directly by the blue handle? 242.How many teeth are on the gear connected to the gear turned directly by the blue handle? 83.How many times bigger is the gear turned directly by blue handle compared to its connecting gear? (divide answer #1 by answer #2) 34.How many teeth are on the gear on the other end of the axle from the gear in answer #2? 245.How many teeth are on the gear turned directly by the green handle? 86.How many times bigger is the gear in answer #4 compared to the gear turned directly by the green handle (divide answer #4 by answer #5) 37.To find the number of times green handle turns for each blue handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #3 times answer #6) 98.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #7) times?______ If not, check your work for steps 1-7.LEGO WeDo 2.0 Math ChallengeGear Machine 16:8 & 40:8Skills Required:Basic Multiplication/Division FactsGears Needed:What to Build: The same gear machine is pictured twice, from two different sides. The Challenge:Determine the relationship between the number of blue handle turns and the number of green handle turns.Procedure:1.How many teeth are on the gear turned directly by the blue handle?____2.How many teeth are on the gear connected to the gear turned directly by the blue handle?____3.How many times bigger is the gear turned directly by blue handle compared to its connecting gear? (divide answer #1 by answer #2) _____4.How many teeth are on the gear on the other end of the axle from the gear connected to the gear turned directly by the blue handle?______5.How many teeth are on the gear turned directly by the green handle?____6.How many times bigger is the gear in answer #4 compared to the gear turned directly by the green handle (multiply answer #4 times answer #5) _____7.To find the number of times green handle turns for each blue handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #3 times answer #6) _____. 8.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #7) times?______ If not, check your work for steps 1-7.9.Now complete the chart below. To find “Green Handle Turns,” multiply “Blue Handle Turns” by answer #7. You can then check your answers by turning the blue handle and counting the turns of the green handle.Blue Handle TurnsGreen Handle Turns12345678910111210.Use the chart to fill in the blanks below. a.10 x 10 =___b.__ x 10 = 30c.12 x 10 = __d.4 x 10 =___e.__ x 10 = 10f.10 x 8 =__ g. __ x 10 = 90h.__ x 10 = 60i.5 x __ = 50j.__ x 10 = 70k.2 x 10 =__l.10 x __ = 110LEGO WeDo 2.0 Math ChallengeGear Machine 16:8 & 40:8 (Multiples of 10; KEY)Procedure:1.How many teeth are on the gear turned directly by the blue handle? 402.How many teeth are on the gear connected to the gear turned directly by the blue handle? 83.How many times bigger is the gear turned directly by blue handle compared to its connecting gear? (divide answer #1 by answer #2) 54.How many teeth are on the gear on the other end of the axle from the gear in answer #2? 165.How many teeth are on the gear turned directly by the green handle? 86.How many times bigger is the gear in answer #4 compared to the gear turned directly by the green handle (divide answer #4 by answer #5) 27.To find the number of times green handle turns for each blue handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #3 times answer #6) 108.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #7) times?______ If not, check your work for steps 1-7.LEGO WeDo 2.0 Math ChallengeGear Machine 16:8, 16:8 & 16:8Skills Required:Basic Multiplication/Division FactsGears Needed:left6350 A B C D E F 00 A B C D E F What to Build: The same gear machine is pictured twice, from two different sides. The Challenge:Determine the relationship between the number of blue handle turns and the number of green handle turns.Procedure:1.Record the number of teeth found on each gear: A____ B____ C____ D____ E____ F____2.Gear A drives Gear B. How many times more teeth does Gear A have compared to Gear B? (divide the number of teeth on Gear A by the number on Gear B) ____3.Gear C drives Gear D. How many times more teeth does Gear C have compared to Gear D? (divide the number of teeth on Gear C by the number on Gear D) ____4.Gear E drives Gear F. How many times more teeth does Gear E have compared to Gear F? (divide the number of teeth on Gear E by the number on Gear F) ____5.To find the number of times green handle turns for each blue handle turn, find the product of the three relationships between the pairs of connecting gears. (multiply answer #2 times answer #3 times answer #4) _____. 6.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #5) times?______ If not, check your work for steps 1-5.7.Now complete the chart below. To find “Green Handle Turns,” multiply “Blue Handle Turns” by answer #5. You can then check your answers by turning the blue handle and counting the turns of the green handle.Blue Handle TurnsGreen Handle Turns1234567891011128.Use the chart to fill in the blanks below. a.12 x 8 =___b.__ x 8 = 48c.2 x 8 = __d.8 x 4 =___e.__ x 8 = 80f.11 x 8 =__ g. __ x 8 = 24h.__ x 8 = 56i.8 x __ = 40j.__ x 8 = 72k.8 x 8 =__l.8 x __ = 8Gear Machine 16:8, 16:8 & 16:8 (Multiples of 8; KEY)Procedure:1.Record the number of teeth found on each gear: A 16 B 8 C 16 D 8 E 16 F 8 2.Gear A drives Gear B. How many times more teeth does Gear A have compared to Gear B? (divide the number of teeth on Gear A by the number on Gear B) 23.Gear C drives Gear D. How many times more teeth does Gear C have compared to Gear D? (divide the number of teeth on Gear C by the number on Gear D) 24.Gear E drives Gear F. How many times more teeth does Gear E have compared to Gear F? (divide the number of teeth on Gear E by the number on Gear F) 25.To find the number of times green handle turns for each blue handle turn, find the product of the three relationships between the pairs of connecting gears. (multiply answer #2 times answer #3 times answer #4) 8 6.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #5) times?______ If not, check your work for steps 1-5.LEGO WeDo 2.0 Math ChallengeGear Machine 16:8, 16:8 & 24:8Skills Required:Basic Multiplication/Division FactsGears Needed:5715067310 A B CD E F 00 A B CD E F What to Build: The same gear machine is pictured twice, from two different sides. The Challenge: Determine the relationship between the number of blue handle turns and the number of green handle turns.Procedure:1.Record the number of teeth found on each gear: A___ B____ C____ D____ E____ F____2.Gear A drives Gear B. How many times more teeth does Gear A have compared to Gear B? (divide the number of teeth on Gear A by the number on Gear B) ____3.Gear C drives Gear D. How many times more teeth does Gear C have compared to Gear D? (divide the number of teeth on Gear C by the number on Gear D) ____4.Gear E drives Gear F. How many times more teeth does Gear E have compared to Gear F? (divide the number of teeth on Gear E by the number on Gear F) ____5.To find the number of times green handle turns for each blue handle turn, find the product of the three relationships between the pairs of connecting gears. (multiply answer #2 times answer #3 times answer #4) _____. 6.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #5) times?______ If not, check your work for steps 1-5.7.Now complete the chart below. To find “Green Handle Turns,” multiply “Blue Handle Turns” by answer #5. You can then check your answers by turning the blue handle and counting the turns of the green handle.Blue Handle TurnsGreen Handle Turns1234567891011128.Use the chart to fill in the blanks below. a.12 x 3 =___b.__ x 12 = 60c.12 x 10 = __d.4 x 12 =___e.__ x 12 = 84f.12 x 8 =__ g. __ x 12 = 144h.__ x 12 = 12i.12 x __ = 132j.__ x 12 = 72k.2 x 12 =__l.12 x __ = 108Gear Machine 16:8, 16:8 & 24:8 (Multiples of 12; KEY)1.Record the number of teeth found on each gear: A 16 B 8 C 16 D 8 E 24 F 8 2.Gear A drives Gear B. How many times more teeth does Gear A have compared to Gear B? (divide the number of teeth on Gear A by the number on Gear B) 23.Gear C drives Gear D. How many times more teeth does Gear C have compared to Gear D? (divide the number of teeth on Gear C by the number on Gear D) 24.Gear E drives Gear F. How many times more teeth does Gear E have compared to Gear F? (divide the number of teeth on Gear E by the number on Gear F) 35.To find the number of times green handle turns for each blue handle turn, find the product of the three relationships between the pairs of connecting gears. (multiply answer #2 times answer #3 times answer #4) 8 6.Turn the blue handle completely around once. Does the green handle turns completely around this many (answer to #5) times?______ If not, check your work for steps 1-5.LEGO WeDo 2.0 Math ChallengeGear Machine 16:8, 40:8, 40:8, & 16:8Skills Required:Basic Multiplication/Division FactsMultiplying and Dividing Decimals by Powers of 10Gears Needed/What to Build 297180117504A B C DE F G H0A B C DE F G H : The same gear machine is pictured three times, from three different angles. It is important to note, in case you are looking at a black and white image, that the yellow handle is in the middle.The Challenge: Determine the relationships between the numbers of blue handle turns, yellow handle turns, and green handle turns. Procedure:1.Record the number of teeth found on each gear:A ____ B ____ C ____ D ____ E ____ F ____ G ____ H ____2.Gear A in driven by Gear B. How many times more teeth does Gear A have compared to Gear B? (divide the number of teeth on Gear A by the number on Gear B) ____3.Gear C is driven by Gear D. How many times more teeth does Gear C have compared to Gear D? (divide the number of teeth on Gear C by the number on Gear D) ____4.To find the number of times the yellow handle turns for each blue handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #2 times answer #3) ____5.Turn the yellow handle and count how many complete turns it needs to make until the blue handle makes one complete turn (do not attempt to turn the blue handle). Did the number of yellow handle turns match answer #4?______ If not, check your work for steps 1-4.6.Gear E drives Gear F. How many times more teeth does Gear E have compared to Gear F? (divide the number of teeth on Gear E by the number on Gear F) ___7.Gear G drives Gear H. How many times more teeth does Gear E have compared to Gear F? (divide the number of teeth on Gear E by the number on Gear F) ___8.To find the number of times the green handle turns for each yellow handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #6 times answer #7) ____9.Turn the yellow handle completely around once. Does the green handle turns completely around this many (answer to #7) times?______ If not, check your work for steps 5-8.10How many times will you need to turn the green handle around until blue handle turns completely around once (multiply answer #4 times answer number 8) ____11.Write this number (answer 9) as a power of ten.______12.Reference the answers above and your gear machine to complete the chart. In the second column, on each row, you will write either “Times” or “Divided by.” In the third column, on each row, you will circle either “10” or “102.”The Number of this Handle’s TurnsTimes or Divided by10 or 102Equals the Number of this Handle’s TurnsBlueYellowYellow (Y)Blue (B)Yellow (Y)Green (G)Green (G)Yellow (Y)Blue (B)Green (G)Green (G)Blue (B)13.Using the chart above to help you solve the equations below, and then use your gear machine to check the reasonableness of your answers.A.2.1 Y = _____ GB.35 G = _____ YC.15 Y = _____ BD.0.26 B = _____ yE.47 G = _____ BF.0.23 B = _____ GG.32 G = _____ Y = _____ BH.0.03 B = _____ Y = _____ GGear Machine 16:8, 40:8, 40:8, & 16:8(Multiplying and Dividing by 10 and 100; KEY)Procedure:1.Record the number of teeth found on each gear:A 16 B 8 C 40 D 8 E 40 F 8 G 16 H 82.Gear A in driven by Gear B. How many times more teeth does Gear A have compared to Gear B? (divide the number of teeth on Gear A by the number on Gear B) 23.Gear C is driven by Gear D. How many times more teeth does Gear C have compared to Gear D? (divide the number of teeth on Gear C by the number on Gear D) 54.To find the number of times the yellow handle turns for each blue handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #2 times answer #3) 105.Turn the yellow handle and count how many complete turns it needs to make until the blue handle makes one complete turn (do not attempt to turn the blue handle). Did the number of yellow handle turns match answer #4?______ If not, check your work for steps 1-4.6.Gear E drives Gear F. How many times more teeth does Gear E have compared to Gear F? (divide the number of teeth on Gear E by the number on Gear F) 57.Gear G drives Gear H. How many times more teeth does Gear E have compared to Gear F? (divide the number of teeth on Gear E by the number on Gear F) 28.To find the number of times the green handle turns for each yellow handle turn, find the product of the two relationships between the pairs of connecting gears. (multiply answer #6 times answer #7) 109.Turn the yellow handle completely around once. Does the green handle turns completely around this many (answer to #7) times?______ If not, check your work for steps 5-8.10.How many times will you need to turn the green handle around until blue handle turns completely around once (multiply answer #4 times answer # 8) 10011.Write this number (answer 9) as a power of ten. 10212Reference the answers above and your gear machine to complete the chart. In the second column, on each row, you will write either “Times” or “Divided by.” In the third column, on each row, you will circle either “10” or “102.”The Number of this Handle’s TurnsTimes or Divided by10 or 102Equals the Number of this Handle’s TurnsBlueTimes10YellowYellow (Y)Divided by10Blue (B)Yellow (Y)Times10Green (G)Green (G)Divided by10Yellow (Y)Blue (B)Times 102Green (G)Green (G)Divided by 102Blue (B)13.Using the chart above to help you solve the equations below, and then use your gear machine to check the reasonableness of your answers.A.2.1 Y = 21 GB.35 G = 3.5 YC.15 Y = 1.5 BD.0.26 B = 2.6 yE.47 G = .47 BF.0.23 B = 23 GG.32 G = 3.2 Y = .32 BH.0.03 B = 0.3 Y = 3 GLEGO WeDo 2.0 Math ChallengeGear Machine – Student Designed, 2 GearsSkills Required:Simplifying FractionsMultiplying Fractions by Whole NumbersWhat to Build: The same gear machine is pictured twice, from two different sides. Use this machine as a model, but you do not have to use the exact same gears, Just make sure that the gear turned directly by blue handle is larger than the gear turned directly by green handle.The Challenge:Determine the relationship between the number of green handle turns and the number of blue handle turns.Procedure:1.How many teeth are on the gear turned directly by the green handle?____2.How many teeth are on the gear connected to the gear turned directly by the blue handle?____3.To find the fraction of a turn the blue handle makes for each green handle turn, create a fraction that represents the relationship between the numbers of teeth on these gears. (Make answer #1 your numerator, and answer #2 your denominator) _____4.Simplify the fraction from answer #3. ______5.Now multiply by the number found in #4 to complete the Input (green handle turns) Output (blue handle turns) Chart below. You should check your answers by turning the blue handle and counting the turns of the green handle.Green handle TurnsBlue handle Turns1234567891011126.Use the chart to fill in the blanks below. a.__ x 7 =___b.__ x 3 = ___c.12 x __ = ___d.__ x 8 =___e.__ x 1 = ___f.9 x __ =___g. __ x 11 = ___h.6 x __ = ___i.2 x __ = ___j.__ x 4 = ___k.5 x __ =___l.10 x __ = ___LEGO WeDo 2.0 Math ChallengeGear Machine – Student Designed, 4 GearsSkills Required:Simplifying FractionsMultiplying Fractions by Fractions and Whole NumbersWhat to Build: The same gear machine is pictured twice, from two different sides. Use this machine as a model, but you do not have to use the exact same gears. Just make sure that the gear turned directly by blue handle is larger than its connecting gear, and that the gear turned directly by green handle is smaller than its connecting gearThe Challenge:Determine the relationship between the number of green handle turns and the number of blue handle turns.Procedure:1.How many teeth are on the gear turned directly by the green handle?____2.How many teeth are on the gear connected to the gear turned directly by the green handle?____3.Create a fraction that represents the relationship between the numbers of teeth on these gears. (Make answer #1 your numerator, and answer #2 your denominator) _____4.Simplify the fraction from answer #3. ______5.How many teeth are on the gear connected to the gear turned directly by the blue handle?____6.How many teeth are on the gear turned directly by the blue handle?____7.Create a fraction that represents the relationship between the numbers of teeth on these gears. (Make answer #5 your numerator, and answer #6 your denominator) _____8.Simplify the fraction from answer #7. ______9.To find the fraction of a turn the blue handle makes for each green handle turn, find the product of the fractions representing the pairs of connecting gears. (multiply answer #4 times answer #8) _____. 10.Turn the green handle completely around once. Does the blue handle complete this fraction (answer to #9) of a turn?______ If not, check your work for steps 1-9.11.Now multiply by the number found in #10 to complete the Input (green handle turns) Output (blue handle turns) Chart below. You should check your answers by turning the blue handle and counting the turns of the green handle.Green handle TurnsBlue handle Turns12345678910111212.Use the chart to fill in the blanks below. a.__ x 7 =___b.__ x 3 = ___c.12 x __ = ___d.__ x 8 =___e.__ x 1 = ___f.9 x __ =___g. __ x 11 = ___h.6 x __ = ___i.2 x __ = ___j.__ x 4 = ___k.5 x __ =___l.10 x __ = ___LEGO WeDo 2.0 Math ChallengeAngle Maker - Part 1 Skills Required:Three-Digit SubtractionOne-Digit by Three Digit MultiplicationDrawing Angles with a ProtractorGears Needed:40-teeth and 8-teethWhat to Build: The same angle maker is pictured twice, from two different sides. . The Challenge: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 ChallengeAngle Maker - Part 1 (KEY)Skills Required:Three-Digit SubtractionOne-Digit by Three Digit MultiplicationDrawing Angles with a ProtractorGears Needed:40-teeth and 8-teethWhat 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? 52.How many degrees does a ray rotate each time the handle makes a full turn (divide 360 by answer #1)? 723.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) 1445.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) 1447.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) 729.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 ChallengeAngle Maker - Part 2 Skills Required:Three-Digit SubtractionOne-Digit by Three Digit MultiplicationDrawing Angles with a ProtractorGears Needed:40-teeth and 12-teethWhat to Build: The same angle maker is pictured twice, from two different sides. The Challenge: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) ________plete 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 TurnsAngle Degrees123456789Extra 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 ChallengeAngle Maker - Part 2 (KEY)Skills Required:Three-Digit SubtractionOne-Digit by Three Digit MultiplicationDrawing Angles with a ProtractorGears Needed:40-teeth and 12-teethWhat to Build: The same angle maker is pictured twice, from two different sides. The Challenge: 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? 102.How many degrees total did the ray rotate? (multiply 3 times 360) 10803.How many degrees does a ray rotate each time the handle makes a full turn (divide answer #2 by answer #1)? 1084.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) plete 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 TurnsAngle Degrees11082144336472518067273681449108Extra 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 ................
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