if the small gear turns clockwise, which direction does the big gear turn?
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You are buying candy for a class party. The local supermarket is selling two bags of chocolate bars for $6. You want to buy five bags for the party. How much will this cost you?. - PowerPoint PPT PresentationTRANSCRIPT
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You are buying candy for a class party. The local supermarket is
selling two bags of chocolate bars for $6. You want to buy five bags for the party. How
much will this cost you?
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At the drugstore, you see you can by two bags of the same chocolate
bars as in the previous problem for $5. Which offers the better buy: the super market or the
drugstore?
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Crystal placed a bucket under a leaky faucet and collected 6 ounces of water in 20 minutes. Joanne placed a bucket
under a second leaky faucet and collected 9 ounces in 25 minutes.
Were the faucets dripping equally fast or was one dripping faster than the
other?
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Suppose that you have made a batch of green paint by mixing 2 cans of blue paint
with 7 cans of yellow paint. What are some other combinations of cans of blue paint and cans of yellow paint that you can mix
to make the same shade of green?
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On a city center map, 18 centimeters represents an actual distance of 15 miles. What actual distance is represented by 9 cm on the map? Draw a diagram as part of your solution.
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1. If the small gear turns clockwise, which direction does the big gear turn?
2. If you turn the small gear a certain number of times, does the large gear turn more revolutions, fewer, or the same amount? How can you tell?
3. Find a way to keep track of how many revolutions the small gear makes. Find a way to keep track of how many revolutions the large gear makes. How can you keep track of both at the same time?
Connected Gears ProblemSay you have a small gear with 8 teeth connected to a big gear with 12 teeth.
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Zora sells pasta and sauce and charges $3.00 for a 7-ounce jar or
$16.00 for two jars that hold a total of 37⅓ ounces. Is buying a 7-
ounce jar a better deal that buying two jars that hold 37⅓ ounces?
How do you know?
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Notes on Ratio and Rate 1/31
A ratio is a comparison of two quantities with a multiplying relationship, or two quantities joined to make a single unit of measurement.
A ratio answers the questions:• What part of one thing is another thing?• How many times bigger is thing 1 than thing 2?
You can answer the questions by writing a ratio using words, a colon, or a fraction.
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Notes on Ratio and Rate (continued) 1/31For example: How many times longer is Worm A than Worm B?
Write a ratio to find out:
As a fraction:Worm A = 6 = 3 = 3⁄2 = 1½ Worm B 4 2You could say, “Worm A is 1 ½ times bigger than Worm B” or, you could also say ,“Worm B is ⅔ the length of Worm A” and mean the same thing.
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Notes on Ratio and Rate (continued) 1/31A rate is a ratio that compares two measurements with different units.
A rate can show change.
Example: Express the following rate as a ratio:My car can travel 75 miles for every three gallons of gas in my tank.
Words: 75 miles to 3 gallons, or 25 miles to 1 gallonColon: 75:3 or 25:1Fraction: 75 or 25 3 1
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Notes on Ratio and Rate (continued) 1/31A Unit Rate is rate that tells how much of the first quantity relates to ONE UNIT of the other quantity
For example:
If it costs $3.50 for 2 bags of oranges, how much does one bag cost?
This is a unit rate!