Ratios and Proportions Cornell Notes 8 Ratio Comparison

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Ratios and Proportions Cornell Notes #8

Ratios and Proportions Cornell Notes #8

• Ratio • Comparison between two numbers. • • • Real life •

• Ratio • Comparison between two numbers. • • • Real life • Example: 5 kids went to the party. Only 2 kids spent the night. Ratio is 2/5 (kids who spent the night/total kids at the party) What is the ratio of boys to girls in this class.

• Ratio • How to write a ratio • Is the ratio of

• Ratio • How to write a ratio • Is the ratio of girls to boys the same? • NO. • When writing a ratio, ORDER matters. • What is the ratio of girls to boys? • 2 , 2 to 3, 2: 3 3

• Ratio • How many basketballs to footballs are there? • What does

• Ratio • How many basketballs to footballs are there? • What does that mean? For every 5 basketballs there are 6 footballs. The ratio is 5 to 6.

• What are some other ways we can write the ratio of basketball

• What are some other ways we can write the ratio of basketball to footballs? Every ratio can be written in 3 ways: 5 to 6 First quantity to Second quantity 5: 6 First quantity : Second quantity 5 6 First quantity divided by the second quantity (as a fraction).

• • Write a ratio for each of the following: • • There

• • Write a ratio for each of the following: • • There are 12 girls and 17 boys in English class. What is the ratio of boys to girls? Basketball season: the team won 18 games and lost 12. What is the ratio of games lost to games won? The pound had 12 cats and 17 dogs. What is the

• Proportio • Has an equal sign n • States that two ratios

• Proportio • Has an equal sign n • States that two ratios are equal. • Has two cross • 16 = n products that are 20 35 equal to each other. • Used to find missing values.

• Solve the • The ratio of boys to proportion. girls is 4

• Solve the • The ratio of boys to proportion. girls is 4 to 5. There are 1. Set up proportion. 2. Cross multiply 3. Simplify multiplicatio n 4. Divide 5. Solve 12 boys in the class. How many girls are in the class? 1. 4 boys = 12 boys 5 girls ? G 2. 4 X g = 5 X 12 3. 4 g=60 4. 4 g = 60 4 4 5. g=60÷ 4 or g=15

Practice Tell if the ratios form a proportion: 6/14, 3/7 14/35, 8/20 • Write

Practice Tell if the ratios form a proportion: 6/14, 3/7 14/35, 8/20 • Write ratios for the following: 1. There are 6 girls and 10 boys in the class. Write the ratio of boys to girls. 2. There are 12 footballs and 7 basketballs. Write the ratio of basketballs to footballs. 3. There are 5 Mars bars and 7 Snickers bars. Write the ratio of Snickers bars to Mars bars.

Practice Solve these proportions using the 5 steps. 1. 2/3 = n/27 2. n/36

Practice Solve these proportions using the 5 steps. 1. 2/3 = n/27 2. n/36 = 8/24 3. n/10=6/3 4. 8/9=24/n 5. 4/16 = n/100 6. 15/25 = 3/n

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