MATH SCIENCe 360



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 Problem: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 Problem: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 Problem: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 Problem: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 Problem: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 Problem: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 Problem: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. ................
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