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2.1 Rates, Ratios, and Proportions

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.

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2.1 Rates, Ratios, and Proportions

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  1. 2.1 Rates, Ratios, and Proportions EQ: How can I use units to understand problems and guide the solution of proportions?

  2. Write and use ratios, rates, and unit rates • Write and solve proportions. Objectives

  3. ratioa comparison of two quantities by division. The ratio of a to b can be written a:bor , where b ≠ 0. Ratios that name the same comparison are said to be equivalent. • proportionastatement that two ratios are equivalent, such as Vocabulary

  4. Reading Math Read the proportion as “1 is to 15 as x is to 675”.

  5. 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. Vocabulary

  6. 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?

  7. Example 2 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?

  8. 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.

  9. Example 4 Cory earns $52.50 in 7 hours. Find the unit rate. The unit rate is $7.50/hour.

  10. cross productsIn the proportion , the products and ()Ex: Vocabulary

  11. Example 5 Solve each proportion. B. A.

  12. Cwk/Hwk Txtbkpp. 35-38 #2-6,14,16,44-56,59,61

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