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Learning Target

Learning Target . I can… Write, compare, and analyze ratios. Ratio:. compares two numbers Example: A class has 12 girls and 18 boys. What is the ratio of boys to girls? Write your answer in 3 ways. Ratios continued. There are THREE ways to write ratios.

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Learning Target

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  1. Learning Target I can… Write, compare, and analyze ratios

  2. Ratio: compares two numbers Example: A class has 12 girls and 18 boys. What is the ratio of boys to girls? Write your answer in 3 ways.

  3. Ratios continued There are THREE ways to write ratios

  4. When doing ratios, ORDER MATTERS! Example: There are 7 red Skittles and 11 yellow Skittles in a bag. What is the ratio of yellow Skittles to red Skittles? 11 to 7 11:7 11 7

  5. Quick Check! There are 7 basketball players, 8 volleyball players, 12 football players, and 9 tennis players at an athletic event. • What is the ratio of football players to basketball players? • What is the ratio of tennis players to volleyball players? • What is the ratio of tennis players to football players? 12:7 9:8 3:4

  6. There are 7 basketball players, 8 volleyball players, 12 football players, and 9 tennis players at an athletic event. • What is the ratio of basketball players to total athletes?

  7. Find the ratios. Remember to reduce! Types of movies playing at the theater: 2 romance, 6 comedies, 3 dramas, 4 thrillers. • Ratio of romance to thrillers • Ratio of dramas to comedies • Ratio of thrillers to comedies • Ratio of dramas to all types 1:2 1:2 2:3 1:5

  8. There are 30 students in a class. 10 are girls. What is the boy-girl ratio of the class? (Remember to reduce!) • 30:10 • 20:10 • 2:1 • 1:2

  9. In a school, there are 40 teachers and 400 students. What is the student to teacher ratio? (Remember to reduce!) • 40:400 • 400:40 • 10:1 • 1:10

  10. Ratios in Real Life USE EQUIVALENCY Example: You buy 12 apples for $9 12 ÷ 3 = 4 9 ÷ 3 = 3 4 apples for every $3 How much would 36 apples cost?

  11. A can of tennis balls holds 3 balls. What is the ratio of balls to cans? If I need 90 balls for the season, how many cans should I buy?

  12. Comparing Ratios To compare ratios ___________________ ___________________________________

  13. 1) A pet supply chain called Pet City has 15 hamsters and 20 gerbils for sale at its Clarksville location. At its Arlington location there are 7 hamsters and 14 gerbils. Which location has a higher ratio of hamsters to gerbils?

  14. 2) Preston went on a two-day fishing trip. On the first day, he caught 15 catfish and 3 salmon. On the second day, he caught 18 catfish and 4 salmon. On which day of the fishing trip did Preston catch a lower ratio of catfish to salmon?

  15. 3) An auto dealership sells minivans and sedans. In January, they sold 5 minivans and 20 sedans. In February, they sold 2 minivans and 8 sedans. During which month did the auto dealership sell a lower ratio of minivans to sedans?

  16. 4) Mrs. Ingram and Mrs. Perez took polls of their second-grade classes to find out their students' favorite colors. In Mrs. Ingram's class, 12 students said their favorite color was blue and 10 said their favorite color was red. In Mrs. Perez's class, 10 voted for blue and 6 for red. Whose class had a higher ratio of students who preferred blue to students who preferred red?

  17. Example 5) The chart below shows three colleges and average students and teachers per class. Jenna knows she wants small class sizes in college. Which college has the lowest student-to-teacher ratio?

  18. Example 6).  Mario can afford to apply to only one university. He will apply to the school that offers the best probability of awarding him a full, academic scholarship. Each of Mario's prospective schools has posted its average number of applicants and average number of full-ride scholarships. College A:  825 applicants; 275 full-ride scholarships College B:  600 applicants; 150 full-ride scholarships College C:  2,250 applicants; 250 full-ride scholarships College D:  1,250 applicants; 125 full-ride scholarships

  19. 7).

  20. EXIT When Anna works out, she spends 18 minutes doing cardio and 12 minutes doing resistance training. Preston's workout consists of 17 minutes of cardio and 16 minutes of resistance training. Who does a higher ratio of cardio to resistance training?

  21. Learning Target: I can… Compute and compare unit rates

  22. Unit Rate: A ratio/rate with a denominator of one key word: PER Example: Sam walks 36 miles in 3 hours. How many miles does he walk per hour? 36 miles÷ 3 = 12 miles 3 hours ÷ 3 = 1 hour 12 miles per hour

  23. Quick Check! Which of the following is a unit rate? • $50_ 4 hr • 32 words 2 min • 150 miles 3 hours • 34 ft 1 min

  24. Examples of Unit Rates • Liz types 300 words in two minutes. How many words does she type per minute? 300 words = 150 words 2 min 1 min She types 150 words per minute

  25. CPS Quick Check! Mr. Shell drinks 11 cups of coffee in 3 days. How many cups of coffee does he drink per day? ____ cups per day

  26. 3) Ed drives from Jefferson to Holden, a distance of 250 miles. He then travels on to Paxton, which is 50 miles from Holden. If it takes him 5 hours to complete the entire trip, how fast is he traveling if he is traveling at a constant speed?

  27. 4) Four gallons of gasoline cost $16.80. (a) What is the price per gallon? (b) What is the price of gasoline in terms of gallons per dollar? (c) Do we need both rates? In real life, when will they become useful?

  28. (c) Do we need both rates? In real life, when will they become useful? Yes. Both rates can be useful. (1) $4.20 /gallon is useful when you know how much gasoline you need and want to find out how much it cost. (2) 0.24 gallon/dollar is useful when you know how much money you have and want to find out how many gallons of gasoline you can buy with that amount of money.

  29. Mike and Mark want to race their pet turtles. Mark claims that his turtle can move 3 feet in 45 seconds. Mike says that his turtle can move 5 feet in 70 seconds. Identify which turtle has the faster speed. Show work to support your conclusion.

  30. Word Problem After exercising, two students checked their pulses to see how fast their hearts were beating. Marit’s heart beat 13 times in 10 seconds. Coleman’s heart beat 18 times in 15 seconds. Identify each student’s heart rate. Who has the faster rate?

  31. This is how your parents find deals!

  32. Which is the better buy? A pack of 12 granola bars for $5.00 or a pack of 10 granola bars for $4.50? • 12 granola bars • 10 granola bars • They are the same

  33. Which is the better buy? A pack of 50 pens for $6.00 or a pack of 75 pens for $6.75? • A pack of 50 pens • A pack of 75 pens • They are the same

  34. Which is the better buy? 15 iTunes songs for $14.85 or 11 iTunes songs for $10.89? • 15 iTunes songs • 11 iTunes songs • They are the same

  35. Which is the better buy? 6 t-shirts for $72 or 8 t-shirts for $88? • 6 t-shirts • 8 t-shirts • They are the same

  36. Which is the best buy? 6 shirts for $25.50, 4 shirts for $18.00, or 5 shirts for $21

  37. Simplifying Complex Fractions 1) 2) _______________, ___________, _______

  38. Unit Rates with Complex Fractions 1) David hikes 2 ¼ miles in ½ an hour. What is his rate in miles per hour?

  39. 3) Tom jogged from 10:30 a.m. to 12:15 p.m. He traveled a distance of 7 miles. What was his average speed in mph?

  40. 4) Amaya jogged from 10:30 a.m. to 11:45 p.m. She traveled a distance of 5 miles. What was her average speed in mph?

  41. PARCC Examples 1)

  42. 2)

  43. EXIT (in pages per hour)

  44. Unit Rate from Table Reynaldo is planning to drive from New York to San Francisco in his car. Reynaldo started to fill out the table below showing how far in miles he can travel for each gallon of gas he uses. 1. Based on the table, how many miles per gallon (unit rate) did Reynaldo’s car get?

  45. Jarod is taking a cross-country trip with his family. The chart below shows the number of hours he traveled and the number of miles traveled. What was his average speed (miles per hour) for this trip?

  46. Arriana is making batches of cookies for her classmates. The table below shows the number of flour and sugar she needs as she makes more batches. Find the unit rate for the amount of flour she needs per cup of sugar.

  47. EXIT What is the unit rate/price of a 12 pound bag of dog food for $9?

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