Lesson 5.2 Proportions Students will be able use cross multiply to determine if the two ratios are equivalent.

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Presentation transcript:

Lesson 5.2 Proportions Students will be able use cross multiply to determine if the two ratios are equivalent.

Youtube https://www.youtube.com/watch?v=HwJPkXOboBk https://www.youtube.com/watch?v=9fE2Get5BBk https://www.youtube.com/watch?v=USmit5zUGas https://www.youtube.com/watch?v=jXKOdYFfwds https://www.youtube.com/watch?v=Iew8nqlxYE4 https://www.youtube.com/watch?v=sKBK7F8QthU

Proportions Example: 4 5 = 8 10 A proportion is an equation stating two ratios are equivalent (equal) or they have a constant rate. Example: 4 5 = 8 10

Nonproportional Example: 4 5 ≠ 8 15 Relationships are nonproportional if the rates or ratios are not constant, equivalent. Example: 4 5 ≠ 8 15

Cross Multiply Method 6 x 5 = 3 x 10 30 = 30

Proportions Determine if the following are proportions. 1) 2)

Proportions 3 x 60 = 5 x 36 4 x 15 = 8 x 8 180 = 180 60 64 Yes, it is a proportion. No, it is not a proportion.

Practice Problems 3 15 = 9 45 6 13 = 2 5 2 9 = 6 15 24 8 = 3 1 Determine if the two ratios are proportional 3 15 = 9 45 6 13 = 2 5 2 9 = 6 15 24 8 = 3 1

Solving Proportions 4 = 24 y 30 4(30) = 24y 120 = 24y 24 24 5 = y 24 24 5 = y 1. Cross Multiply 2. Solve for the variable.

Solving Proportions y 8 8(10) = 5y 80 = 5y 5 5 16 = y 10 = 5 5 5 16 = y 1. Cross Multiply 2. Solve for the variable