HowToManipulateFractionsScience

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I can't tell you how many times I have seen students divide cm by cm and get cm. This presentation, and a worksheet, helps break them of that habit

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Manipulating Fractions: 

Manipulating Fractions Science Warmup Activity How to do it

PowerPoint Presentation: 

5 1

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5 1 What this means is “How many ones are in five?”

PowerPoint Presentation: 

5 1 What this means is “How many ones are in five?” 5 = 1+1+1+1+1 5 = 5 x 1 There are five ones in 5

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5 = 5 1

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6 3

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6 3 How many 3's are in 6?

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6 3 How many 3's are in 6? 6 = 3 + 3 Or 6 = 3 x 2

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6 = 2 3

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4 4 How many 4's are in 4? 4 = 4 + 0 Or 4 = 4 x 1

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4 = 1 4

This leads us to ask. . .: 

How many blimps are in a blimp? This leads us to ask. . . www.idmind.pt/en/research/images/blimp.jpg

Or to ask. . .: 

How many puppies are in a puppy? Or to ask. . . trainingapuppy.org

Or to ask. . .: 

How many anythings are in one anything? Or to ask. . .

PowerPoint Presentation: 

= 1

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= 1 4 4 4

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= 1

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= 1 cm cm

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Anything Divided by Itself is 1 And that's 1.0000000. . . (as many significant digits as you need)

Problem 4: 

7 x 2 3 7 Problem 4

Problem 4: 

7 x 2 3 7 Problem 4 Now in algebra we learned that this would be the same as. . . 2 x 7 3 7

Problem 4: 

7 x 2 3 7 Problem 4 Now in algebra we learned that this would be the same as. . . 2 x 7 3 7 = 2 3

Problem 4: 

7 x 2 3 7 Problem 4 So in algebra we just learned to save time and “cancel” out the like terms in numerator and denominator, SINCE anything divided by itself is 1.

Problem 4: 

7 x 2 3 7 Problem 4 So in algebra we just learned to save time and “cancel” out the like terms in numerator and denominator, SINCE anything divided by itself is 1. = 2 3

Problem 5: 

2 x 3 5 2 Problem 5

Problem 5: 

2 x 3 5 2 Problem 5 = 3 5

Problem 6: 

1 x 8 x g 4 10 cm 3 Problem 6

Problem 6: 

1 x 8 x g 4 10 cm 3 Problem 6 2 1

Problem 6: 

2 x g 10 cm 3 Problem 6 Which becomes

Problem 6: 

1 x g 5 cm 3 Problem 6 Or 0.20 g/cm 3

Problem 7 convert without calculator: 

1 2 Problem 7 convert without calculator

Problem 7 convert without calculator: 

1 2 Problem 7 convert without calculator The answer is 0.5 because 0.5 + 0.5 = 1 So 0.5 is half of 1

Problem 8 convert without calculator: 

2 5 Problem 8 convert without calculator The answer is 0.4 because 5 x 0.4 = 2 There are five 0.4's in 2

Problem 9 convert without calculator: 

1 3 Problem 9 convert without calculator The answer is 0.33 because 3 x 0.33 = 1 (actually 0.99) There are three 0.33's in 1

Problem 10 convert without calculator: 

8 10 Problem 10 convert without calculator The answer is 0.8 In a decimal system, dividing by 10 is the same as multiplying by 0.1 0.1 x 8 = 0.8