2.1 rates, ratios, and proportions
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2.1 Rates, Ratios, and Proportions. EQ: How can I use units to understand problems and guide the solution of proportions?. Write and use ratios, rates, and unit rates Write and solve proportions. Objectives. - PowerPoint PPT PresentationTRANSCRIPT
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2.1 Rates, Ratios, and Proportions
EQ: How can I use units to understand problems and guide the solution of proportions?
![Page 2: 2.1 Rates, Ratios, and Proportions](https://reader035.vdocuments.net/reader035/viewer/2022081807/56813a07550346895da1d309/html5/thumbnails/2.jpg)
Objectives
Write and use ratios, rates, and unit ratesWrite and solve proportions.
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Vocabulary
ratio a comparison of two quantities by division. The ratio of a to b can be written a:b or , where b ≠ 0. Ratios that name the same comparison are said to be equivalent.
proportiona statement that two ratios are equivalent, such as
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Reading Math
Read the proportion as
“1 is to 15 as x is to 675”.
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Vocabulary
ratea ratio of two quantities with different units, such as
unit raterate with a second quantity of ___ unit*You can convert any rate to a unit rate.
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Example 1
The ratio of the number of bones in a human’s ears to the number of bones in the skull is 3:11. There are 22 bones in the skull. How many bones are in the ears?
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The ratio of games won to games lost for a baseball team is 3:2. The team has won 18 games. How many games did the team lose?
Example 2
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Example 3
Raulf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record. Find the unit rate. Round your answer to the nearest hundredth.
The unit rate is about 3.47 flips/s.
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Example 4
Cory earns $52.50 in 7 hours. Find the unit rate.
The unit rate is $7.50/hour.
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Vocabulary
cross productsIn the proportion , the products and ()
Ex:
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Example 5
Solve each proportion.
A. B.
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Cwk/Hwk
Txtbk pp. 35-38 #2-6,14,16,44-56,59,61