Connections with Measurement and Patterns

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

2. 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

3. 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

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

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

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

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

8. 100 Dollar Bills Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

9. 100 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

10. Dollar Bills Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

11. Who can guess what would come next? 6000 inches Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

12. How many inches would 1,000,000 dollar bills be? Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

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

14. 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, McCasland, Owen at NCTM Conference 2006

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

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

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

18. 1,000,000 cans is… 5,000,000 inches Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

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

20. 100 cups = ? Gallons 16 cups= 1 gallon 100 cups = ? Gallon(s) Answer: 6.25 gallons Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

21. 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

22. 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 2006

23. 100 Pints = ? Gallons 8 pints= 1 gallon 100 pints = ? gallons Answer: 12.5 gallons Created/Edited by Eddy, McCasland, Owen at NCTM Conference 2006

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