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Connections with Connections with Measurement and Measurement and

PatternsPatterns

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Suggested literature to use in conjunction with this power Suggested literature to use in conjunction with this power point:point:

Schwartz, David. (1985). Schwartz, David. (1985). How Much is a Million?How Much is a Million? New New York: York: William Morrow & Company, Inc.William Morrow & Company, Inc.

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Measuring One MillionMeasuring One Million

Instead of measuring things such as Instead of measuring things such as children and goldfish, we are going children and goldfish, we are going

to do an activity that measures to do an activity that measures other things, and find out how many other things, and find out how many

of those it takes to equal one of those it takes to equal one million!million!

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The Dollar BillThe Dollar Bill

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The length of one dollar The length of one dollar billbill Round to the nearest Round to the nearest

inchinch

≈ 6 inches

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Length of 2 dollar billsLength of 2 dollar bills

6 inches6 inches 6 inches6 inches

So, 6 + 6 = 12 inches So, 6 + 6 = 12 inches oror

6 in. x 2 bills = 12 inches6 in. x 2 bills = 12 inches

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What would the length of What would the length of 10 dollar bills be?10 dollar bills be?

6 inches6 inches

So 6 in x So 6 in x WHAT will WHAT will give me the give me the length of 10 length of 10 bills?bills?6 in. x 10 6 in. x 10 bills = 60 bills = 60 inchesinches

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100 Dollar Bills100 Dollar Bills

1 Dollar Bill1 Dollar Bill 6 inches6 inches

10 Dollar Bills10 Dollar Bills 60 inches60 inches

100 Dollar Bills100 Dollar Bills ??

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100 Dollar Bills100 Dollar Bills6 inches6 inches

If 1 dollar bill is 6 If 1 dollar bill is 6 inches, then 100 inches, then 100 dollar bills would dollar bills would be…be…

600 600 inches!inches!

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Dollar BillsDollar Bills

1 Dollar Bill1 Dollar Bill 6 inches6 inches

10 Dollar Bills10 Dollar Bills 60 inches60 inches

100 Dollar Bills100 Dollar Bills 600 inches600 inches

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Who can guess what Who can guess what would come next?would come next?

1 Dollar Bill1 Dollar Bill 6 inches6 inches

10 Dollar Bills10 Dollar Bills 60 inches60 inches

100 Dollar Bills100 Dollar Bills 600 inches600 inches

1000 Dollar 1000 Dollar BillsBills

6000 inches6000 inches

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How many inches would How many inches would 1,000,000 dollar bills 1,000,000 dollar bills be?be?1 Dollar Bill1 Dollar Bill 6 inches6 inches

10 Dollar Bills10 Dollar Bills 60 inches60 inches

100 Dollar Bills100 Dollar Bills 600 inches600 inches

1,000 Dollar Bills1,000 Dollar Bills 6,000 inches6,000 inches

10,000 Dollar Bills10,000 Dollar Bills ????

100,000 Dollar 100,000 Dollar BillsBills

????

1,000,000 Dollar 1,000,000 Dollar BillsBills

????

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What is the What is the pattern?pattern?

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Distance of bills laid end to end Distance of bills laid end to end = (6 inches) X (number of bills)= (6 inches) X (number of bills)

Can you think of an equation so we could find the Can you think of an equation so we could find the distance of any number of bills?distance of any number of bills?

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Dr. PepperDr. Pepper

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Can MeasurementCan Measurement

≈ ≈ 55

IInncchheess

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If I wanted to stack 1,000,000 Dr. If I wanted to stack 1,000,000 Dr. Pepper cans on top of each other, Pepper cans on top of each other,

how tall would it be?how tall would it be?

1 can1 can 5 inches5 inches

10 cans10 cans ????

100 cans100 cans ????

1,000 cans1,000 cans ????

10,000 cans10,000 cans ????

100,000 cans100,000 cans ????

1,000,000 cans1,000,000 cans ????

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1,000,000 cans is…1,000,000 cans is…

5,000,000 inches5,000,000 inches

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How many gallons would there How many gallons would there be if there were 100 cups filled be if there were 100 cups filled

with water?with water?

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Answer: 6.25 gallonsAnswer: 6.25 gallons

16 cups= 1 gallon16 cups= 1 gallon

100 cups = ? Gallons100 cups = ? Gallons

100 cups = ? Gallon(s)100 cups = ? Gallon(s)

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So If 100 cups = 6.25 So If 100 cups = 6.25 gallons…gallons…

Then 1,000,000 cups would be how many Then 1,000,000 cups would be how many gallons?gallons?

Hint: Remember our pattern!Hint: Remember our pattern!

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If there were 100 pints of milk, If there were 100 pints of milk, how many gallons would it fill?how many gallons would it fill?

8 pints= 1 gallon

Answer: 12.5 gallons

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8 pints= 1 gallon8 pints= 1 gallon

Answer: 12.5 Answer: 12.5 gallonsgallons

100 Pints = ? Gallons100 Pints = ? Gallons

100 pints = ? 100 pints = ? gallonsgallons

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What can YOU measure???What can YOU measure???