Ratios and Proportions

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9.1 Ratios and Proportions. You will learn to use ratios and proportions to solve problems. 1) ratio 2) proportion 3) cross products 4) extremes 5) means.

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Presentation transcript:

Ratios and Proportions Lesson 6.1

Getting Started… Name an equivalent fraction : Which fraction is larger?

Definitions Ratio: a comparison of two quantities by division. Equal Ratio: Represent the same comparison Proportion: An equation that states two ratios are equal is called a proportion. Cross Product Property:

How to Recognize a Ratio How can we express the ratio of blue to yellow squares? As a fraction 8/12  2/3 With a colon: 2 : 3 With the word, “to” : 2 to 3

THIS IS ALSO A PROPORTION! Equal Ratios Getting Started question… THIS IS ALSO A PROPORTION!

Proportions Proportions are also expressed in three ways. A proportion is just 2 ratios combined. 5 is to 6 as 10 is to 12 5 : 6 :: 10 : 12

Cross Products Since 21 is Greater than 16 16, 3/8 is larger! Which fraction is larger? Instead of finding the LCD, we could use the cross product property. Since 21 is Greater than 16, 3/8 is larger! 16 21

Try a few! Use the cross-products property to determine if the proportion is true or false. 216 210 FALSE! 42x 42x TRUE!

Homework Extra Practice 6.1