Connections with Measurement and Patterns CreatedEdited by Eddy

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

The Dollar Bill Created/Edited by Eddy, Mc. Casland, Owen at NCTM Conference 2006

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

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

What would the length of 10 dollar bills be? 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, Mc. Casland, Owen at NCTM Conference 2006

100 Dollar Bills 1 Dollar Bill 6 inches 10 Dollar Bills 60 inches 100 Dollar Bills ? Created/Edited by Eddy, Mc. Casland, Owen at NCTM Conference 2006

100 Dollar Bills 6 inches If 1 dollar bill is 6 inches, then 100 dollar bills would be… 600 inches! Created/Edited by Eddy, Mc. Casland, 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, Mc. Casland, 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, Mc. Casland, Owen at NCTM Conference 2006

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

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

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

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

Can Measurement ≈ 5 I n c h e s Created/Edited by Eddy, Mc. Casland, Owen at NCTM Conference 2006

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

1, 000 cans is… 5, 000 inches Created/Edited by Eddy, Mc. Casland, Owen at NCTM Conference 2006

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

100 cups = ? Gallons 16 cups= 1 gallon 100 cups = ? Gallon(s) Answer: 6. 25 gallons Created/Edited by Eddy, Mc. Casland, Owen at NCTM Conference 2006

So If 100 cups = 6. 25 gallons… Then 1, 000 cups would be how many gallons? Hint: Remember our pattern! Created/Edited by Eddy, Mc. Casland, Owen at NCTM Conference 2006

If there were 100 pints of milk, how many gallons would it fill? 8 pints= 1 gallon Created/Edited by Eddy, Mc. Casland, Owen at NCTM Conference 2006 Answer: 12. 5 gallons

100 Pints = ? Gallons 8 pints= 1 gallon 100 pints = ? gallons Answer: 12. 5 gallons Created/Edited by Eddy, Mc. Casland, Owen at NCTM Conference 2006

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