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.

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

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.

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

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.

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

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.

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

Inquiry Lab Turn to page 67 in your text

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

Lesson 6.1.7 Rate and Ratio Problems Tuesday, Sept 2 Lesson 6.1.7 Rate and Ratio Problems

Rate and Ratio Problems Objective: To solve rate and ratio problems.

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

Rate and Ratio Problems

Rate and Ratio Problems Method 1 Make a rate table. A rate table is the same as a ratio table.

Rate and Ratio Problems Like Gel 2 Total 3 150

Rate and Ratio Problems Like Gel 2 Total 3 150

Rate and Ratio Problems Like Gel 2 Total 3 150 x ?

Rate and Ratio Problems x 50 Like Gel 2 Total 3 150 x 50

Rate and Ratio Problems x 50 Like Gel 2 100 Total 3 150 x 50

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

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

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

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

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

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

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

Rate and Ratio Problems What are our units?

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

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

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.

Rate and Ratio Problems Do this on your own.

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

Rate and Ratio Problems Do this on your own.

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.

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.

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.

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.

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.

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.

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.

Rate and Ratio Problems

Rate and Ratio Problems

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

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

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

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

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