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Ratios and Proportional Relationships Unit Rates and Complex Fractions ProportionalandNonproportionalRelationships SolvingProportionalRelationships Constantof.

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Presentation on theme: "Ratios and Proportional Relationships Unit Rates and Complex Fractions ProportionalandNonproportionalRelationships SolvingProportionalRelationships Constantof."— Presentation transcript:

1

2 Ratios and Proportional Relationships

3 Unit Rates and Complex Fractions ProportionalandNonproportionalRelationships SolvingProportionalRelationships Constantof Proportionality Vocabulary

4 Category 1 Find the Unit Rate. Round to the nearest hundredth if necessary. 88 students for 4 class Find the Unit Rate. Round to the nearest hundredth if necessary. 88 students for 4 class 1 min. 22 students per class Unit Rates and Complex Fractions

5 61 cars per acre 1 min. Unit Rates and Complex Fractions Find the Unit Rate. Round to the nearest hundredth if necessary. 549 cars on 9 acres Find the Unit Rate. Round to the nearest hundredth if necessary. 549 cars on 9 acres

6 Category 1 1 min. Unit Rates and Complex Fractions Simplify

7 Category 1 Simplify 1 min. Unit Rates and Complex Fractions 27

8 Category 1 Danny can jog miles in hour. Find his average speed in miles per hour. 2 min. Unit Rates and Complex Fractions mph

9 2,640 mi/day 1 min. 30 sec. Convert Unit Rates Convert the rate. Round to the nearest hundredth if necessary. 110 mi/h = _________ mi/day Convert the rate. Round to the nearest hundredth if necessary. 110 mi/h = _________ mi/day

10 14.7 oz/h Convert Unit Rates Convert the rate. Round to the nearest hundredth if necessary. 22 lb/day ≈ _________ oz/h Convert the rate. Round to the nearest hundredth if necessary. 22 lb/day ≈ _________ oz/h 1 min. 30 sec.

11 6 qt/min Convert Unit Rates Convert the rate. Round to the nearest hundredth if necessary. 720 pt/h ≈ _________ qt/min Convert the rate. Round to the nearest hundredth if necessary. 720 pt/h ≈ _________ qt/min 1 min. 30 sec.

12 2 min. Convert Unit Rates A pool is being drained at a rate of 120 gallons per minute. What is this rate in quarts per hour? 28,800 qt/h

13 2 min. Convert Unit Rates 3.5 gal/wk The Green family drinks 2 quarts of milk per day. How many gallons of milk do they drink in a week? The Green family drinks 2 quarts of milk per day. How many gallons of milk do they drink in a week?

14 45 sec. ProportionalandNonproportionalRelationships Proportional or Nonproportional? Proportional Number of Hours1234 Total Amount Earned$16$32$48$64

15 Nonproportional 45 sec. ProportionalandNonproportionalRelationships Proportional or Nonproportional? Number of Hours1234 Songs played214588155

16 30 sec. ProportionalandNonproportionalRelationships Proportional or Nonproportional? Proportional or Nonproportional? Proportional Chips Bags of Chips Cost ($)

17 1 min. ProportionalandNonproportionalRelationships The fastest mammal on earth, a cheetah, runs at a rate of 75 miles per hour. Is the distance a cheetah runs proportional to the number of hours it runs? Yes

18 2 min. ProportionalandNonproportionalRelationships A math club has 5 members for every team, with the exception of four teams that have 7 members each. Is the number of players proportional to the number of teams? A math club has 5 members for every team, with the exception of four teams that have 7 members each. Is the number of players proportional to the number of teams? No

19 1 min. SolvingProportionalRelationships Solve. a = 5

20 Solve. y = 30 1 min. SolvingProportionalRelationships

21 x = 7 1 min. SolvingProportionalRelationships Solve.

22 45 homes 1 min. 30 sec. About 18 out of 26 homes have a computer. On a street with 65 homes, how many would you expect to have a computer? SolvingProportionalRelationships

23 A grading machine can grade 32 multiple- choice tests in 1 minute. How long will it take the machine to grade 200 tests? 6.25 min. 2 min. SolvingProportionalRelationships

24 3 Bird Houses 1 min. ConstantofProportionality

25 38 votes for Victor 1 min. ConstantofProportionality

26 202 Calories 1 min. ConstantofProportionality

27 $2 2 min. ConstantofProportionality

28 16 Pieces 2 min. ConstantofProportionality

29 Ratio 1 min. Vocabulary A comparison of two numbers by division, it can be written 3 different ways: as a fraction, colon, and with the word “to”.

30 Variable 45 sec. Vocabulary A letter used to represent an unknown value.

31 Unit Rate 1 min. Vocabulary A ratio that shows the cost per unit of measure or the rate for one unit of a given quantity.

32 Constant of Proportionality 1 min. Vocabulary When a quantity x is proportional (directly) to another quantity y, then x is written as x = ky, where k is called the _________ __ ________.

33 .. Rate 2 min. Vocabulary A ratio that compares two different kinds of measured quantities such as miles per hour or dollars per pound.

34 If y varies directly with x, write an equation for the direct variation. Then find the value. If y = –4 when x = 10, find y when x = 5 If y varies directly with x, write an equation for the direct variation. Then find the value. If y = –4 when x = 10, find y when x = 5 500 points 2 min.


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