2. Comparing Ratio Problem- Solving Tools 1

3. Warm Up SWBAT find similarities and differences among several ratio problem-solving methods. Language Objective: They will write about the similarities and differences using ratio vocabulary. Agenda 2 25 World Records were broken at the 2012 Summer Olympics. Use these rounded times to find the unit rate of each record. 1. The US Women’s team ran the 400 meter relay in just over 40 seconds. What was their unit rate? 2. Dana Vollmer (US) swam the 100 meter breaststroke in a bit more than 50 seconds. What was her unit rate? 3. Is the rate of the Women’s relay actually faster or slower than the unit rate you found? How about Vollmer’s?

4. Launch – Think, Pair, Share Agenda 3 A racecar travels 60 miles in 40 minutes. At that rate, how much time would it take to travel 45 miles? What tool could you use to solve this problem? Ratio table Unit rate Double Number Line Pick one tool and use it to solve this problem on the worksheet.

5. Launch – Problem Solving 4 Agenda A racecar travels 60 miles in 40 minutes. At that rate, how much time would it take to travel 45 miles? Now pick another tool and solve the problem again! Ratio table Unit rate Double Number Line The answer is 30 minutes. Did you get that?

6. Launch – Problem Solutions 5 Agenda A racecar travels 60 miles in 40 minutes. At that rate, how much time would it take to travel 45 miles? 60 miles 40 min = 1.5 miles 1 min = 45 miles 30 min 0 0 60 40 30 20 15 10 45 30 miles mins

7. Summary – Whole Class Discussion 6 Let’s discuss two of these tools. What is something that is the same and something that is different about them. 60 miles 40 mins = 1.5 miles 1 min = 45 miles 30 min 0 0 60 40 30 20 15 10 45 30 miles mins Can you name each of these tools? Unit rate Ratio table Double Number Line Agenda

8. Summary 7 Agenda Now use your bullet points to write sentences. Make sure you use ratio vocabulary words. Click forward for word bank. Ratio Word Bank: ratio rate equivalent value unit rate quantity Ratio Word Bank: ratio rate equivalent value unit rate quantity

9. Assignment 8 Agenda Jaden noticed that he read 16 pages in 32 minutes last night. If his book has 72 pages left, how long will it take him to finish the book if he continues to read at that rate? Use any tool you like to solve this problem. Show all your work. Challenge: If he starts at 7:45 pm and reads straight through to the end, at what time will he finish, at this rate?

10. Assignment 9 Agenda Jaden noticed that he read 16 pages in 32 minutes last night. If his book has 72 pages left, how long will it take him to finish the book if he continues to read at that rate? Pages168436 Minutes3216872 ÷ 2 X 9 Answer: 36 minutes Challenge: If he starts at 8:00 pm and reads straight through to the end, at what time will he finish, at this rate? 7:45 pm + 36 minutes = 9:21 pm