1. Do Now 2/24/11 Take out HW from last night. Take out HW from last night. Text p. 272, #10-36 evens, #44, & #47 Text p. 272, #10-36 evens, #44, & #47 Copy HW in your planner. Copy HW in your planner. Text p. 278, #10-30 evens, #35 Text p. 278, #10-30 evens, #35 In your notebook, use the following unit rates to answer the following questions. In your notebook, use the following unit rates to answer the following questions. If you are walking 7 meters in 1 second, how many meters will you walk in a hour? If you can buy 5 pounds for a $1, how many ounces can you buy for a $1?

2. Writing Equivalent Rates If you are walking 5 meters in 1 second, how many meters will you walk in a hour? There are 60 seconds in a minute and 60 minutes in a hour, so multiply 5 meters by 3600. If you can buy 3 pounds for a $1, how many ounces can you buy for a $1? There are 16 ounces in a pound, so multiply 3 pounds by 16.

3. Homework Text p. 272, #10-36 evens, #44, & #47 10) No; 3 to 4; 3/4, 3:4 10) No; 3 to 4; 3/4, 3:4 12) No; 5 to 1; 5/1; 5:1 12) No; 5 to 1; 5/1; 5:1 14) No; 7 to 2; 7/2; 7:2 14) No; 7 to 2; 7/2; 7:2 16) Yes; 64 to 3; 64/3; 64:3 16) Yes; 64 to 3; 64/3; 64:3 18) 4/2, 11 to 2, 36:5, 22:3, 30/4 18) 4/2, 11 to 2, 36:5, 22:3, 30/4 20) 1/2, 6:10, 7:11, 8:12, 7:4 20) 1/2, 6:10, 7:11, 8:12, 7:4 22) 35 words / 1 minute 22) 35 words / 1 minute 24) 32 oz / 1 serving 24) 32 oz / 1 serving 26) $80 / 1 person 28) 1 3/5 muffins / $1 30) 79,200 32) 23,400 34) 301 36) a. 4/1 b. That the adult frog is 4 times smaller than the tadpole 44) 1/3 47) 1 1/11 minutes

4. Objective SWBAT write and solve proportions SWBAT write and solve proportions

5. RATE – a fraction in which the numerator and the denominator have different units of measure. RATIO- uses division to compare two quantities of the SAME MEASURE.

6. Proportion- an equation that states that two ratios/rates are equivalent. Section 6.2 “Writing and Solving Proportions” “a is to b as c is to d”

7. Solving a Proportion Solve a proportion by finding the value of the variable. One way to solve a proportion is to write both fractions with the same denominator (think of equivalent fractions). = You need to find a value of n so that is equivalent to =

8. Use Algebra to Solve Proportions 11 11 6x30 = Write original proportion. Multiply each side by 30. 330 6 = x Simplify. 55 = x Divide. 11 11 6x30 = 30 30 x30 Solve the proportion 11 6 =. How can we get ‘x’ by itself? get ‘x’ by itself?

9. Try It Out… x 12 1228 = Write original proportion. Multiply each side by 12. 24 8 Simplify. x = 3 Divide. x 12 122 8 = 12 12 2 8 Solve the proportion x 12 12 =. x = How can we get ‘x’ by itself? get ‘x’ by itself?

10. Solve the Following Proportions: = = = = = =

11. Solving Equations with Rates A punch recipe calls for 4 cups of orange juice. The recipe will serve 8 people. You are making punch for a party of 32 people. How many cups of orange juice do you need? A punch recipe calls for 4 cups of orange juice. The recipe will serve 8 people. You are making punch for a party of 32 people. How many cups of orange juice do you need? =

12. Solving Equations with Ratios You are making a scale drawing of a room. The actual room has a width of 18 ft and a length of 24 ft. Your scale drawing of the room has a length of 4 in. What is the width of the room on the scale drawing? You are making a scale drawing of a room. The actual room has a width of 18 ft and a length of 24 ft. Your scale drawing of the room has a length of 4 in. What is the width of the room on the scale drawing? =

13. Homework Text p. 278, #10-30 evens, #35