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Lesson 7.1 Ratio and Proportion

Lesson 7.1 Ratio and Proportion. In 2000, Nomar Garciaparra of the Boston Red Sox won the American League batting title for the second straight year, with a batting average of .372. He was at bat 529 times and had 197 hits. A baseball player’s batting average is calculated using a ratio.

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Lesson 7.1 Ratio and Proportion

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  1. Lesson 7.1 Ratio and Proportion In 2000, NomarGarciaparra of the Boston Red Sox won the American League batting title for the second straight year, with a batting average of .372. He was at bat 529 times and had 197 hits. A baseball player’s batting average is calculated using a ratio. Pages 357 - 360

  2. NomarGarciaparra Hits 197 Times at bat 529 A ratio is a comparison of two numbers using division. (the denominator cannot be zero) Player 1 – Player 2 – Player 3 – Best average = 0.372

  3. Ratios A ratio of a to b can be written in three ways: a b a:b a to b Simplify the ratio. • 60 cm:200 cm 2. 3 ft 18 in

  4. Use Ratios In the diagram, AB:BC is 4:1 and AC = 30. Find AB and BC. A B C A B C

  5. Use Ratios The perimeter of a rectangle is 80 ft. The ratio of the length to the width is 7:3. Find the length and width of the rectangle.

  6. Setting 2 ratios equal to one another creates a “Proportion”. A C B D • The numbers A and D are called the extremes • The numbers B and C are called the means. • You can solve a proportion by using the cross produce property Cross Product Property “In a proportion, the product of the means is equal to the product of the extremes.”

  7. Solve each Proportion • y+2 3 6 • 6 X 8

  8. Assignment: Pages 361 – 363 #3-12 all, #18 – 44 even #46 Bonus

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