What is the Rate?
Equivalent Ratios
Unit Rate & Tables
Setting Up Equivalent Ratios
Are You Smarter than Mr. H? (x2 all points!)
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Gio drives 78 miles on 3 gallons of gas. Find the miles per gallon.
26 miles per gallon
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B
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At the farmers’ market, one stand sells 6 oranges that cost $4.80. At another stand, sell them at 9 oranges for $7.20.
Are the two stands selling oranges at the same rate per orange?
First stand: $0.80 per orange
Second stand: $0.80 per orange
Yes, both stands are selling oranges at the same rate per orange.
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A recipe calls for 2 cups of flour for every 3 cups of sugar.
How many cups of sugar are needed if you use 4 cups of flour?
2/3 = 4/?
(2xx2)/(3xx2) = 4/?
? = 6 cups of sugar
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You are helping at a school snack stand. You notice that 5 granola bars cost $7.50.
Part A:
What is the cost for 1 granola bar?
Part B:
If a student buys 8 granola bars, how much will it cost in total?
1 Granola Bar = $1.50
8 Granola Bars = $12
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Mr. H baked 7 days last week. If he made the same number of batches of chocolate chip cookies every day, and he made 35 batches in all, at what rate did he bake?
He baked at a rate of 5 batches per day.
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True ; True ; True ; False
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A printer makes 120 copies in 8 minutes. Another printer makes 180 copies in 12 minutes.
Are the two printers working at the same rate per minute?
First printer: 15 copies/minute
Second printer: 15 copies/minute
Yes, both printers are working at the same rate per minute.
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A car travels 150 miles on 5 gallons of gas.
How many miles can it travel on 8 gallons of gas?
Hint: Find a common denominator of "1" help solve!
30 miles per gallon
30 x 8 = 240 miles
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Mr. H started working at a coffee shop. He now makes $75.32 for every 2 hours he works. If he worked a total of 11.5 hours, how much money would he make?
He would make $37.66 in 1 hour, so he would make $433.09 in 11 hours.
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Mr. Hendershot is planting plumerias and morning glories in a pot. For every 3 plumerias he plants, he will plant 6 morning glories.
How many morning glories will he plant when he plants 12 plumerias?
What if Mr. H only planted 2 plumerias? How many morning glories would he plant?
If he plants 12 plumerias, he will plant 24 morning glories, because the ratio of plumerias to morning glories is 1:2.
If he plants 2 plumerias, he will plant 4 morning glories.
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Cody completed 60 laps in 30 minutes. Brooklyn completed 72 laps in 36 minutes. Are these swimmers swimming at the same rate per minute?
Yes. Both swimmers swim at a rate of 2 laps per minute.
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Using this table only, write as many expressions as you can to figure out how much you would pay for 8 pounds of Halloween Candy.
The goal of this problem is to have something that shows the equivalent ratio below:
($56)/(8lbs)
If you have:
one way = times 1, two ways = times 2, three ways = times 3, etc.
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A class has 12 boys and 16 girls.
If the ratio of boys to girls stays the same, how many girls should be in a class with 18 boys?
12 boys : 16 girls = 3 boys : 4 girls
3/4 = 18/?
? = 24 girls
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Daily Double: How much will you wager?
Mr. H can read 12,330 words in half an hour. How many words can he read in 10 minutes? How many words in 1 second?
Mr. H can read 4,110 words in 10 minutes. He can read 6.85 words per second.
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Mr. H drove 480 miles in 8 hours. Mr. M drove 560 miles in 10 hours. Fill in the blank to compare the average speeds.
"Mr. H's rate is ________ miles per hour (quicker/slower) than Mr. M's rate."
"Mr. H's rate is 4 miles per hour quicker than Mr. M's rate."
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During basketball practice, Mia makes 24 shots in 12 minutes. Her friend Jordan makes 10 shots in 5 minutes.
If they keep at the same rate how many will they each make at 60 minutes?
Are they shooting at the same rate? How do you know?
Mia:
24/12 = 2
2xx60=120 shots
Jordan:
10/5 = 2
2xx60=120 shots
Yes, they are shooting at the same rate because both make 2 shots per minute. and will make 120 shots after 60 minutes.
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Complete the table provided.
Top Row: 15 ; 18
Bottom Row: 6
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A machine produces 120 toys in 8 hours.
If the machine keeps the same rate, how many toys will it produce in 15 hours?
120 toys = 8 hours
15 toys per 1 hour
15 x 15 = 225 toys for 15 hours
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A skydiver falls at a rate of 144 feet in three seconds. How many feet would he travel after seven seconds?
He would travel a total of 336 feet after seven seconds.
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Briella ran 3 miles in 20 minutes and continues running at this rate for 1 hour. Angie ran 6 miles in 30 minutes and continues running at this rate for 1 hour.
Briella will run ________ miles in 1 hour and Angie will run _________ in 1 hour. ________ will run ____________ mile(s) further than _________ in 1 hour.
9 ; 12 ; Angie ; 3 ; Briella
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In warmer weather, the Montano family loves to use their boat. The boat uses 2 gallons of gas to travel 12 miles on the lake. How much gas would be needed for the boat to travel 48 miles? What if Mr. M only had 1 gallon? How far would he travel?
Create a table to prove your answer.
To travel 48 miles, the boat needs 8 gallons.
With 1 gallon, the boat can travel 6 miles.
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Bonus Challenge: Write the definition of a Unit Rate and give at least 1 example.
A unit rate is a comparison of two quantities of different units of measure to 1 of something.
For example: 60 miles/1 hour