6th: Lesson 1-2 (Ratios) 7th: Lessons 1-1—1-3 Unit 5 Quiz #1 Review 6th: Lesson 1-2 (Ratios) 7th: Lessons 1-1—1-3

6th: 1-2 What do you know about ratios? How do you explain the meaning of a ratio?

Ex. In a fruit salad, there are 12 strawberries, 14 grapes, 6 kiwis, and 4 papayas. Find the ratio of kiwis to the total number of pieces of fruit in the fruit salad. Then explain its meaning.

Ex. James found that 12 of his 38 family members do not have a Facebook account. What is the ratio of family members that do have a Facebook account to family members that do not?

7th: 1-1 Rate: a ratio comparing two quantities with DIFFERENT units Written as a fraction with units on the top and bottom Unit Rate: a rate that is simplified to have a denominator of 1 Divide top and bottom by denominator to get unit rate

Find each unit rate. Show all work 1.) $11.49 for 3 packages 2.) 258.5 miles in 5.5 hours

The 24 students in Mr. Benoit’s homeroom consumed 78 pieces of pizza The 24 students in Mr. Benoit’s homeroom consumed 78 pieces of pizza. The 27 students in Ms. Dryer’s homeroom consumed 85 pieces of pizza. Whose homeroom ate the most pieces of pizza per student? Explain your reasoning.

Which is the better buy? Show all work. 1.) 6 apples for $1.18 or 10 apples for $1.79? 2.) A 10 oz box of cereal for $2.69 or an 18 oz box for $3.99?

A machinist can produce 114 parts in 6 minutes A machinist can produce 114 parts in 6 minutes. At this rate, how many parts can the machinist produce in 15 minutes?

7th: 1-2 To simplify a complex fraction: Write it as a normal division problem with the division sign Keep, change, flip Cross-simplify if possible Multiply across and simplify

Simplify. 1.) 9 10 6 2.) 4 15 2 5

Can also find unit rates with complex fractions Whatever unit you need one of (comes after per) must be the denominator! Set up fraction with labels FIRST! LABEL final answer!

Examples: Simplify 1.) Jenny can jog 4 2 3 miles in 1 1 4 hours. Find her average speed in miles per hour. 2.) Pep Club members are making spirit buttons. In 3 1 2 hours, they made 490 spirit buttons. Find the number of buttons the Pep Club makes per hour.

7th: 1-3 Convert Rates Need to know if you are only converting one unit (single conversion) or if you are converting both units (double conversion) FOLLOW STEPS! STUDY THEM TONIGHT!

Single Conversions: 1.) Write out problem with units and = sign 2.) Figure out the unit that needs to be converted and the one that stays the same (circle and draw arrows) 3.) Write first rate as fraction with units 4.) Set up units of 2nd fraction -unit that needs to change goes diagonal 5.) Fill in correct numbers for 2nd fraction using tables if needed 6.) Multiply and simplify *Answer needs to be a UNIT RATE

Double Conversions: 1.) Write out problem with units and = sign (draw arrows) 2.) Write 1st rate as fraction 3.) In the 2nd fraction, convert the first unit given in the problem to the first unit given in the answer 4.) In the 3rd fraction, convert the second unit given in the problem to the second unit given in the answer 5.) Multiply across and simplify *Answer must be a UNIT RATE

Convert each rate. Round to the nearest hundredth if necessary 1.) 580 ft/min = _______ ft/s 2.) 24 mi/h = _______ ft/s

3.) 5.6 lb/gal = ____________ oz/gal 4.) Fred fills buckets with water at a rate of 12 quarts per minute. What is his rate in gallons per second? 5.) Lorenzo rides his bike at a speed of 5 yards per second. About how many miles per hour can Lorenzo ride his bike? (Hint: 1 mile = 1,760 yards)