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Connections with Measurement and Patterns

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

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Title: Connections with Measurement and Patterns


1
Connections with Measurement and Patterns
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.

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!
4
The Dollar Bill
5
The length of one dollar bill
Round to the nearest inch
6 inches
6
Length of 2 dollar bills
6 inches
6 inches
So, 6 6 12 inches or 6 in. x 2 bills
12 inches
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
8
100 Dollar Bills
1 Dollar Bill 6 inches
10 Dollar Bills 60 inches
100 Dollar Bills ?
9
100 Dollar Bills
6 inches
If 1 dollar bill is 6 inches, then 100 dollar
bills would be
600 inches!
10
Dollar Bills
1 Dollar Bill 6 inches
10 Dollar Bills 60 inches
100 Dollar Bills 600 inches
11
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
12
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 ??
13
What is the pattern?
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)
15
Dr. Pepper
16
Can Measurement
5 Inches
17
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 ??
18
1,000,000 cans is
5,000,000 inches
19
How many gallons would there be if there were 100
cups filled with water?
20
100 cups ? Gallons
16 cups 1 gallon
100 cups ? Gallon(s)
Answer 6.25 gallons
21
So If 100 cups 6.25 gallons
Then 1,000,000 cups would be how many gallons?
Hint Remember our pattern!
22
If there were 100 pints of milk, how many gallons
would it fill?
8 pints 1 gallon
Answer 12.5 gallons
23
100 Pints ? Gallons
8 pints 1 gallon
100 pints ? gallons
Answer 12.5 gallons
24
What can YOU measure???
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