Equivalent Ratios Notes

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Presentation transcript:

Equivalent Ratios Notes Our goals are to: Read and write ratios in lowest forms Find an equivalent ratio We need to know how to do this for: Sports, cooking, shopping

What is an ANALOGY? An analogy compares two things and finds some relationship that exists. Example: Dog is to bark as cat is to _____ Hot is to cold as new is to _____

What is a Ratio? A ratio makes comparisons between two Numbers. A ratio can be written in 5 ways 1 to 4 1:4 ¼ 0.25 25%

Example of ratios in sports Football Football statisticians keep track of the percent of successful field goals made by a kicker using the following ratio: So, what is a kicker’s kicking ratio if he attempted 35 field goals and completed 30 of them?

Example 1 Write each ratio as a fraction in simplest form 12 c to 96 c 65 min: 3 h 5 m to 2.5 cm Hint: type the numbers into your calculator using the fraction (a/bc) key. The calculator will reduce the fraction for you!

Equivalent Ratios Equivalent ratios represent the same numbers. If you write both ratios as fractions in simplest form, they will be the same! Which ratios are equivalent? 2 to 3 and 8 to 6 5 to 10 and 15 to 30 12 : 2 and 6 : 1

Example 2 Find 3 equivalent ratios. Write the ratios as a fraction. Answers

Example 3 Horticulture Carlos feeds his houseplants with a mixture of liquid plant food and water. This mixture calls for 3 parts plant food to 8 parts water. What is the ratio of plant food to water? How much plant food should he mix with 40 fl oz of water? Answers Answers

Example 4 You Try! Julio answered 51 out of 60 questions correctly on a history test. He answered 17 out of 20 questions correctly on a math quiz. What is the ratio of correct answers to questions for the test and the quiz? Answers

Pdiddy’s Practice Page October 19, 2006 Chapter 2

Example 2 Find 3 equivalent ratios. Write the ratios as a fraction.

Answers to Example 3 Method 1 Make a table and extend it to 40 oz. So, Carlos should mix 15 fl oz of plant food with 40 fl oz of water. Method 2 Set up a proportion and cross multiply to solve!

Answer to Example 4