1. Proportional and Non-proportional Relationships

2. An equation stating that two ratios are equivalent is called a proportional. 200 Miles 4 Hours 50 Miles 1 Hour = An equation stating that two ratios are not equivalent is called nonproportional. 200 Miles 4 Hours 25 Miles 1 Hour =

3. Two ratios have to be equivalent for the equation to be proportional. EX 1)2 3 Determine if the two ratios are proportional. 4 6, 2 3 4 6 = Since, 12 = Yes, these ratios are proportional EX 2)8 24 6 20, = No, these ratios are nonproportional 1.Set up a proportion 2.Cross Multiply A.= products are proportional B.= products are nonproportional 12 8 24 6 20 = 160144 1 3 3 10 = 9 160 144 3.Simplify fractions before multiply makes easier.

4. EX 3) Find a ratio equivalent to each ratio. 7 8 1. Simplify or multiply by one. X X 2 2 14 16 = EX 4) 22 15 X X 2 2 44 30 = EX 5)Complete the table. squares circles 248 16 24 8 6 32 4 16 ÷ ÷ 4 4 1 4 = 2 2 X 2 8 =

5. Essential Question Explain what makes two quantities proportional.

6. Date ___________ Proportional and Non-proportional Relationships

7. An equation stating that two ratios are equivalent is called a __________. An equation stating that two ratios are not equivalent is called __________.

8. Two ratios have to be __________ for the equation to be proportional. EX 1) Determine if the two ratios are proportional., EX 2),

9. EX 3) Find a ratio equivalent to each ratio. EX 4) EX 5)Complete the table. squares circles

10. Essential Question Explain what makes two quantities proportional.