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p. 33 • My mom’s car gets 45 miles per gallon on the expressway. • We need two sandwiches for each person at the picnic. 45 miles Write the UNIT RATE •The mystery meat label says 355 Calories per serving. 1 gallon •I earn $3.50 per hour baby-sitting for my neighbor. •My brother’s top running rate is 8.5 kilometers per hour. How many miles? How many gallons? per gallon means 1 gallon. p. 33 • My mom’s car gets 45 miles per gallon on the expressway. • We need two sandwiches for each person at the picnic. •I earn $3.50 per hour baby-sitting for my neighbor. 2 sandwiches Write themeat UNIT RATE •The mystery label says 355 Calories per serving. 1 person •My brother’s top running rate is 8.5 kilometers per hour. How many sandwiches? How many people? For each person means 1 person. p. 33 • My mom’s car gets 45 miles per gallon on the expressway. • We need two sandwiches for each person at the picnic. •I earn $3.50 per hour baby-sitting for my neighbor. $3.50 Write the top UNIT RATE •My brother’s running rate is 8.5 kilometers per hour. 1 hour How many dollars? How many hours? •The mystery meat label says 355 Calories per serving. per hour means 1 hour. p. 33 • My mom’s car gets 45 miles per gallon on the expressway. • We need two sandwiches for each person at the picnic. •I earn $3.50 per hour baby-sitting for my neighbor. •The mystery meat label says 355 Calories per serving. 355 calories 1 serving •My brother’s top running rate is 8.5 kilometers per hour. Write the UNIT RATE How many calories? How many servings? per serving means 1 serving. p. 33 • My mom’s car gets 45 miles per gallon on the expressway. • We need two sandwiches for each person at the picnic. •I earn $3.50 per hour baby-sitting for my neighbor. •The mystery meat label says 355 Calories per serving. •My brother’s top running rate is 8.5 kilometers per hour. Write the UNIT RATE How many hours? kilometers? per hour means 1 hour. 8.5 Km 1 hour Which of the following is an example of a rate? 1. 2. 3. 4. 5 boys for every 3 girls Both measure people– same unit 3 pigs for every 7 cows Both measure animals– same unit 32 feet for every 6 seconds 25 cents for every 1 dollar Both measure money– same unit Feet and seconds are different units of measure. Feet measures distance, seconds measures time. Which of the following is an example of a rate? 1. 2. 3. 4. 5 inches length to 2 inches width Both measure distance 3 miles north for every 7 miles west Both measure distance 32 tomatoes for every 6 apples Both measure amount of food $5.25 cents for every 3 gallons cents and gallons are different units of measure. cents measures money, gallons measure volume. Which is an example of a unit rate? 1. 2. 3. 4. $1.78 for 2 tacos 400 feet per second 3 for $.99 10 calculators for $45 #2 is the only one that has a comparison to 1 of something! What you know What you want to know ÷ 20 20 calculator s $120 ÷ 20 1 calculator $ ?6 Since one of the numbers in the rate is a 1, this is a UNIT RATE. 6 12 What you know What you want to know x2 1 calculator x2 $6 2 calculator s $ 12 ? 6 12 18 What you know What you want to know x3 1 calculator x3 $6 3 calculator s $ 18 ? 6 12 18 24 After you find the UNIT RATE, you can multiply the cost for 1 calculator and the total number of calculators to find the total cost. $6 per calculator x 4 calculators = $24 6 12 18 24 30 60 90 $6 per calculator x 5 calculators = $30 $6 per calculator x 10 calculators = $60 $6 per calculator x 15 calculators = $90 6 12 18 24 30 60 16 What you know 90 What you want to know ÷ 15 15 calculator s ÷ 15 $240 1 calculator $ ?16 Since one of the numbers in the rate is a 1, this is a UNIT RATE. 6 12 18 24 30 60 16 32 48 64 80 160 90 320 $16 per calculator x 2 calculators = $32 $16 per calculator x 3 calculators = $48 $16 per calculator x 4 calculators = $64 $16 per calculator x 5 calculators = $80 $16 per calculator x 10 calculators = $160 $16 per calculator x 20 calculators = $320 6 12 18 24 30 60 16 32 48 6480 160 80 What you know 90 320 What you want to know ÷ 10 10 calculator s ÷ 10 $800 1 calculator $ ?80 Since one of the numbers in the rate is a 1, this is a UNIT RATE. 6 12 18 24 30 60 16 32 48 6480 160 80 160 240 320 400 90 320 1200 1600 $80 per calculator x 2 calculators = $160 $80 per calculator x 3 calculators = $240 $80 per calculator x 4 calculators = $320 $80 per calculator x 5 calculators = $400 $80 per calculator x 15 calculators = $1200 $80 per calculator x 20 calculators = $1600 How much does it cost to buy 53 $6 per calculator x 53 calculators = $318 fraction calculators? 1. 2. 3. 4. $218 $318 $242 $424 How much does it cost to buy 27 $16 per calculator x 27 calculators = $432 scientific calculators? 1. 2. 3. 4. $218 $318 $242 $432 How much does it cost to buy 9 $80 per calculator x 9 calculators = $720 graphing calculators? 1. 2. 3. 4. $618 $720 $790 $730 How many fraction calculators can a school buy if it can spend $390? 1. 2. 3. 4. 65 calculators 56 calculators 60 calculators 72 calculators What you know $6 1 calculator 390 ÷ 6 = 65 x 65 x 65 what you want to know $390 ? calculator s How many fraction calculators can a school buy if it can spend $84? 1. 2. 3. 4. 15 calculators 16 calculators 10 calculators 14 calculators What you know $6 1 calculator x 14 x 14 84 ÷ 6 = 14 what you want to know $84 ? calculator s How many graphing calculators can a school buy if it can spend $2,500? 1. 30 calculators 2. 32 calculators 3. 35 calculators 4. 31 calculators What you know $80 1 calculator 2500 ÷ 80 = 31.25 what you want to know $2500 ? calculator s x 31.25 x 31.25 How many graphing calculators can a school buy if it can spend $560? 1. 7 calculators 2. 9 calculators 3. 5 calculators 4. 3 calculators What you know $80 1 calculator 560 ÷ 80 = 7 x7 x7 what you want to know $560 ? calculator s . 1. 2. 3. 4. Addition Subtraction Multiplication Division ÷ 20 20 calculator s $120 ÷ 20 1 calculator $6 ? What is the CROC for fraction • 6 calculators? • • • 10 16 80 Every time the # of calculators increases by 1, the cost increases by $6. 6 12 18 24 30 60 16 32 48 6480 160 80 160 240 320 400 90 320 1200 1600 Which variable is the independent variable? the number of calculators the total cost 1. The # of calculators 2. Total cost Does the number of calculators depend on the total price? OR Does the total cost depend on the number of calculators? What form should you write your equation? 1. 2. 3. 4. Ind = sv x CROC + dep dep = sv x CROC + ind Ind = dep x CROC + sv dep = ind x CROC + sv Is there a starting value in this situation? (That is if you eat 0 grams, have you eaten any calories?) 1. Yes 2. No Suppose the students analyze 725 grams of rust. How much oxygen should they find? 1. 207.5 g 2. 217.5 g 3. 201.25 g 4. 210 g