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Comparing & Scaling7th grade
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Comparison
Statements
Vocabulary Terms
Percents in
problems
Rates in problems
Ratios in problems
200200
Comparing & Scaling
What is a “ratio”?
Vocabulary Terms for $100
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A ratio is a comparison of two
things.
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Vocabulary Terms for $200
What is a “rate”?
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A rate is a comparison of two DIFFERENT
variables
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What is a “unit rate”?
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A unit rate is one in which one of the values
is one unit.
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Vocabulary Terms for $400
What does the term “scaling” mean?
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Scaling tells how many times larger or smaller
one value is than another value
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What is “population density”?
Vocabulary Terms for $500
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Population density is the ratio of the number of people in a given area
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Write a ratio comparing teen boys to teen girls.
Ratios in problems for $100
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People incategory
Have apet
Brushteeth daily
Sing inthe car
Teen Boys 35 18 33 5Teen Girls 30 22 27 10Adult Boys 40 8 40 19Adult Girls 30 14 30 3TOTAL 135 62 130 37
35 to 30
35:30
35/30
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Ratios in problems for $100
Ratios in problems for $200
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Write a ratio comparing adult girls who brush to
teen girls who brush.People incategory
Have apet
Brushteeth daily
Sing inthe car
Teen Boys 35 18 33 5Teen Girls 30 22 27 10Adult Boys 40 8 40 19Adult Girls 30 14 30 3TOTAL 135 62 130 37
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Ratios in problems for $200
30 to 27
30:27
35/27
Ratios in problems for $300
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Write a ratio comparing teen boys who sing to
teen boys.People incategory
Have apet
Brushteeth daily
Sing inthe car
Teen Boys 35 18 33 5Teen Girls 30 22 27 10Adult Boys 40 8 40 19Adult Girls 30 14 30 3TOTAL 135 62 130 37
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Ratios in problems for $300
5 to 35
5:35
5/35
Ratios in problems for $400
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Write a ratio comparing girls who own pets to boys who own pets.
People incategory
Have apet
Brushteeth daily
Sing inthe car
Teen Boys 35 18 33 5Teen Girls 30 22 27 10Adult Boys 40 8 40 19Adult Girls 30 14 30 3TOTAL 135 62 130 37
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Ratios in problems for $400
36 to 26
36:26
36/26
Ratios in problems for $500
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Write a ratio comparing teen boys who sing &
brush to adult girls who sing & brush.People in
categoryHave a
petBrush
teeth dailySing inthe car
Teen Boys 35 18 33 5Teen Girls 30 22 27 10Adult Boys 40 8 40 19Adult Girls 30 14 30 3TOTAL 135 62 130 37
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Ratios in problems for $500
38 to 33
38:33
38/33
The Pope-mobile can go 20 miles on 4.5 gallons of gas. How far could it
go on 22.5 gallons?
Rates in problems for $100
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100 miles
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Rates in problems for $100
Old Navy is selling 3 t-shirts for $21.75. Find
the cost per shirt.
Rates in problems for $200
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$7.25 per shirt
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Rates in problems for $200
Rates in problems for $300
At McDonalds, the cook can make 18 Big Mac’s in
4 minutes. How many can he make per minute?
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4.5 Big Mac’s per minute
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Rates in problems for $300
Rates in problems for $400
Ken and Barbie were exercising. Ken did 27
sit-ups in 3 minutes and Barbie did 30 sit-ups in 3.5 minutes.
Who did the most sit-ups per minute?Click here to check Click here to check
your answeryour answer
Ken can do more sit-ups per minute.
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Rates in problems for $400
Burt and Ernie are taking a keyboarding test. Burt can type
200 words in 17 minutes. Ernie can
type 171 words in 15 minutes. Who is
typing faster?
Rates in problems for $500
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Burt is typing faster.
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While shopping for a Valentines gift, Lib R. Tee found a diamond ring for
$100 on sale for $80 What percent savings is this?
Percents in problems for $100
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20% savings
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Percents in problems for $100
Percents in problems for $200
Millie Meter bought a DVD player on sale for
$208. The original price was $320. What percent
did Millie save?
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Millie saved 35%
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Percents in problems for $200
A 12 pack of Bolda Cola costing $3 are on sale
for $2.55. What percent savings is this?
Percents in problems for $300
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A 15% savings
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Percents in problems for $300
The new Pokemon video is on sale for $9.89,
regularly $12.99. What percent saving is this?
Percents in problems for $400
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About a 24% savings
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Percents in problems for $400
What percent of teens brush daily?
Percents in problems for $500
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People incategory
Have apet
Brushteeth daily
Sing inthe car
Teen Boys 35 18 33 5Teen Girls 30 22 27 10Adult Boys 40 8 40 19Adult Girls 30 14 30 3TOTAL 135 62 130 37
About 38%
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Percents in problems for $500
Comparison Statements for $100
Identify the type of statement:
18% of students like English best, while 82% of students like math
best. Click here to check Click here to check
your answeryour answer
Percent comparison
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Comparison Statements for $100
Comparison Statements for $200
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Identify the type of statement:
There are 197 more eighth graders than seventh graders.
Difference comparison
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Identify the type of statement:
The ratio of seventh graders to eighth graders
is 442 to 639.
Ratio comparison (part-to-part)
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Comparison Statements for $400
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Identify the type of statement:
There are about 1.4 times as many eighth graders
as seventh graders.
Scaling comparison
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Comparison Statements for $500
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Identify the type of statement:
About 220 of 987 students are sixth
graders.
Ratio or Fraction comparison (part-to-
whole)
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