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5 Minute Check Determine if each pair of rates or ratios are equivalent. Explain your reasoning. 1. 16 points scored in 4 games; 48 points scored in 8 games. 2. 96 words in 3 minutes;160 words in 5 minutes 3. 15 computers for 45 students; 45 computers for 135 students 4. 16 out of 28 students; 240 out of 560 students.

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5 Minute Check Determine if each pair of rates or ratios are equivalent. Explain your reasoning. 1. 16 points scored in 4 games; 48 points scored in 8 games. 16 points ? 48 points 4 games = 8 games 4 points 6 points 1 game ≠ 1 game

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5 Minute Check Determine if each pair of rates or ratios are equivalent. Explain your reasoning. 2. 96 words in 3 minutes;160 words in 5 minutes.

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5 Minute Check Determine if each pair of rates or ratios are equivalent. Explain your reasoning. 2. 96 words in 3 minutes;160 words in 5 minutes. 96 words ? 160 words 3 minutes = 5 minutes 32 words 32 words 1 minute = 1 minute

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5 Minute Check Determine if each pair of rates or ratios are equivalent. Explain your reasoning. 3. 15 computers for 45 students; 45 computers for 135 students.

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5 Minute Check Determine if each pair of rates or ratios are equivalent. Explain your reasoning. 3. 15 computers for 45 students; 45 computers for 135 students. 15 computers ? 45 computers 45 students = 135 students 1 computer 1 computer 3 students = 3 students

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5 Minute Check Determine if each pair of rates or ratios are equivalent. Explain your reasoning. 4. 16 out of 28 students; 240 out of 560 students.

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5 Minute Check Determine if each pair of rates or ratios are equivalent. Explain your reasoning. 4. 16 out of 28 students; 240 out of 560 students. 16 ? 240 28 = 560 4 3 7 ≠ 7

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Inquiry Lab Turn to page 67 in your text

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Inquiry Lab

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Work with a partner to complete page 69 and 70. You have 15 minutes.

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Tuesday, Sept 2 Lesson 6.1.7 Rate and Ratio Problems

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Objective: To solve rate and ratio problems.

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Rate and Ratio Problems You can use bar diagrams, rate or ratio tables, or equivalent ratios to solve rate and ratio problems.

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Rate and Ratio Problems

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Method 1 Make a rate table. A rate table is the same as a ratio table.

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Rate and Ratio Problems Like Gel2 Total3150

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Rate and Ratio Problems Like Gel22 Total33150

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Rate and Ratio Problems Like Gel22 Total33150 x ?

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Rate and Ratio Problems Like Gel22 Total33150 x 50

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Rate and Ratio Problems Like Gel22100 Total33150 x 50

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Rate and Ratio Problems Method 2 Set up equivalent rates or ratios. Rule – When setting up equivalent rates or ratios, always include units.

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Rate and Ratio Problems Rule – When setting up equivalent rates or ratios, always include units. In the above problem, what are our units?

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Rate and Ratio Problems ? gel ? gel ? total = ? total

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Rate and Ratio Problems 2 gel ? gel 3 total = 150 total

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Rate and Ratio Problems To Solve Rate and Ratio Problems by Cross Multiplying. Step 1 – Multiply across the rate or ratio. 2 gel ? gel 3 total = 150 total 2 x 150 = 300

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Rate and Ratio Problems To Solve Rate and Ratio Problems by Cross Multiplying. Step 2 – Divide by the remaining number. 2 gel ? gel 3 total = 150 total 2 x 150 = 300 ÷ 3 = 100

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Rate and Ratio Problems 2 ? 3 = 1502 x 150 = 300 ÷ 3 = 100 100 students would prefer gel toothpaste.

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Rate and Ratio Problems What are our units?

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Rate and Ratio Problems What are our units? ? Lucas texts ? Lucas texts ? Sister texts = ? Sister texts

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Rate and Ratio Problems What are our units? 3 Lucas texts 18 Lucas texts 4 Sister texts = ? Sister texts What’s next?

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Rate and Ratio Problems What are our units? 3 Lucas texts 18 Lucas texts 4 Sister texts = ? Sister texts 4 x 18 = 72 ÷ 3 = 24 His sister sent 24 texts.

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Rate and Ratio Problems Do this on your own.

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Rate and Ratio Problems 120 miles ? miles 3 hours = 5 hours 120 x 5 = 600 ÷ 3 = 200 He drove 200 miles in 5 hours.

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Rate and Ratio Problems Do this on your own.

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Rate and Ratio Problems 3 science ? science 20 total = 400 total 3 x 400 = 1200 ÷ 20 = 60 60 out of 400 students would choose science.

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Rate and Ratio Problems A Clydesdale drinks 120 gallons of water every 6 days. At this rate, how many gallons of water does a Clydesdale drink in 8 days? Do this on your own.

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Rate and Ratio Problems A Clydesdale drinks 120 gallons of water every 6 days. At this rate, how many gallons of water does a Clydesdale drink in 8 days? 120 gallons ? gallons 6 days = 8 days 120 x 8 = 960 ÷ 6 = 160 They would 160 gallons in 8 days.

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Rate and Ratio Problems Out of 20 students surveyed, 13 have a dog. Based on these results, predict how many of the 300 students in the school have a dog. Do this on your own.

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Rate and Ratio Problems Out of 20 students surveyed, 13 have a dog. Based on these results, predict how many of the 300 students in the school have a dog. 13 dog ? dog 20 total = 300 total 13 x 300 = 3900 ÷ 20 = 195 195 would have dogs.

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Rate and Ratio Problems The Miller’s drove 105 miles on 4 gallons of gas. At this rate, how many miles can they drive on 6 gallons of gas? Do this on your own.

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Rate and Ratio Problems The Miller’s drove 105 miles on 4 gallons of gas. At this rate, how many miles can they drive on 6 gallons of gas? 105 miles ? miles 4 gallons = 6 gallons 105 x 6 = 630 ÷ 4 = 157.5 They would travel 157.5 miles on 6 gallons.

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Rate and Ratio Problems

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Ratio and Ratio Problems Use the ratio table to determine how many people 13 subs would serve. Explain.

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Ratio and Ratio Problems Use the ratio table to determine how many people 13 subs would serve. Explain. She forgot the units. 12 students ? teachers 1 teacher = 276 students

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Ratio and Ratio Problems Use the ratio table to determine how many people 13 subs would serve. Explain. She forgot the units. 12 students 276 students 1 teacher = ? teachers

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Ratio and Ratio Problems Use the ratio table to determine how many people 13 subs would serve. Explain. She forgot the units. 12 students 276 students 1 teacher = ? teachers 1 x 276 ÷ 12 = 23 teachers

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Rate and Ratio Problems Agenda Notes Homework – Lesson 6.1.7 Homework Practice Due Wednesday, Sept 3 Circle all final answers! Chapter 1 Test Thursday, Sept 4

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