Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 Connections with Measurement and Patterns

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 Suggested literature to use in conjunction with this power point: Schwartz, David. (1985). How Much is a Million? New York: William Morrow & Company, Inc.

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 Measuring One Million Instead of measuring things such as children and goldfish, we are going to do an activity that measures other things, and find out how many of those it takes to equal one million!

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 The Dollar Bill

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 The length of one dollar bill Round to the nearest inch ≈ 6 inches

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 Length of 2 dollar bills 6 inches So, = 12 inches or 6 in. x 2 bills = 12 inches

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 What would the length of 10 dollar bills be? 6 inches 6 inches So 6 in x WHAT will give me the length of 10 bills? 6 in. x 10 bills = 60 inches

Created/Edited by Eddy, McCasland, Owen at NCTM Conference Dollar Bills 1 Dollar Bill 6 inches 10 Dollar Bills 60 inches 100 Dollar Bills ?

Created/Edited by Eddy, McCasland, Owen at NCTM Conference Dollar Bills 6 inches If 1 dollar bill is 6 inches, then 100 dollar bills would be… 600 inches!

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 Dollar Bills 1 Dollar Bill 6 inches 10 Dollar Bills 60 inches 100 Dollar Bills 600 inches

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 Who can guess what would come next? 1 Dollar Bill 6 inches 10 Dollar Bills 60 inches 100 Dollar Bills 600 inches 1000 Dollar Bills 6000 inches

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 How many inches would 1,000,000 dollar bills be? 1 Dollar Bill 6 inches 10 Dollar Bills 60 inches 100 Dollar Bills 600 inches 1,000 Dollar Bills 6,000 inches 10,000 Dollar Bills ?? 100,000 Dollar Bills ?? 1,000,000 Dollar Bills ??

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 What is the pattern?

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 Distance of bills laid end to end = (6 inches) X (number of bills) Can you think of an equation so we could find the distance of any number of bills?

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 Dr. Pepper

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 Can Measurement ≈5≈5 Inches Inches≈5≈5 Inches Inches

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 If I wanted to stack 1,000,000 Dr. Pepper cans on top of each other, how tall would it be? 1 can 5 inches 10 cans ?? 100 cans ?? 1,000 cans ?? 10,000 cans ?? 100,000 cans ?? 1,000,000 cans ??

Created/Edited by Eddy, McCasland, Owen at NCTM Conference ,000,000 cans is… 5,000,000 inches

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 How many gallons would there be if there were 100 cups filled with water?

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 Answer: 6.25 gallons 16 cups= 1 gallon 100 cups = ? Gallons 100 cups = ? Gallon(s)

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 So If 100 cups = 6.25 gallons… Then 1,000,000 cups would be how many gallons? Hint: Remember our pattern!

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 If there were 100 pints of milk, how many gallons would it fill? 8 pints= 1 gallon Answer: 12.5 gallons

Created/Edited by Eddy, McCasland, Owen at NCTM Conference pints= 1 gallon Answer: 12.5 gallons 100 Pints = ? Gallons 100 pints = ? gallons

Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006 What can YOU measure???