Lesson 7-1: Ratios and Proportions

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7.1 Ratios and Proportions

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Presentation transcript:

Lesson 7-1: Ratios and Proportions Learning Goal: Write and solve basic and extended ratios

Notes: Ratios and Proportions Ratio – a comparison of two quantities by division Can be written a : b, a to b, or a/b Usually write a and b with the same units so you can simplify

Example 1 In this class: What is the ratio of girls to boys? What is the ratio of boys to total students? What is the ratio of girls to total students?

Example 2 A bonsai tree is 18in wide and stands 2 ft tall. What is the ratio of the width of the bonsai to its height?

Example 3 Members of the school band are buying pots of tulips and pots of daffodils to sell at their fundraiser. They plan to buy 120 pots of flowers. The ratio of tulips to daffodils will be 2 : 3. How many pots of each type of flower should they buy?

Proportions Proportion – an equation that sets 2 ratios equal to each other Solve proportions by cross multiplying

Example 4: Solve each proportion

Wastepaper Basketball 3 volunteers shoot 10 times 1 volunteer to record successes and failures

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Analysis of basketball stats cont. Write ratio of successes : attempts How many attempts should it take you to make 12 shots?

7-1 Classwork Heading: 7-1 pg 459 #10, 12, 13, 14, 19 – 22, 35 - 37 Work must be shown to receive credit Work with the people in a 1 desk radius of you.

7-1 Homework Workbook pg 183 – 184 #1 – 6, 8 – 11, 19, 20, 23 – 26 Hint: 16oz : 1 lb Due Thursday