4-5 Convert Measurement Units. Complete ft = yd SOLUTION: Since 1 yard = 3 feet, multiply by lb = oz SOLUTION:
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1 Complete ft = yd Since 1 yard = 3 feet, multiply by lb = oz Since 16 ounces = 1 pound, multiply by c = fl oz Since 8 fluid ounces = 1 cup, multiply by mi = ft Since 5,280 feet = 1 mile, multiply by. esolutions Manual - Powered by Cognero Page 1
2 5. 5,000 lb = T Since 1 ton = 2,000 pounds, multiply by. 6. qt = pt Since 2 pints = 1 quart, multiply by. 7. One of the largest pumpkins ever grown weighed about ton. How many pounds did the pumpkin weigh? Since 2,000 pounds = 1 ton, multiply by. The pumpkin weighed 1,500 pounds. esolutions Manual - Powered by Cognero Page 2
3 8. A 40-foot power boat is for sale by owner. How long is the boat to the nearest yard? Since 1 yard = 3 feet, multiply by. To the nearest yard, the boat is 13 yards long. esolutions Manual - Powered by Cognero Page 3
4 9. A 3-pound pork loin can be cut into 10 pork chops of equal weight. How many ounces is each pork chop? Since 16 ounces = 1 pound, multiply by. esolutions Manual - Powered by Cognero Page 4
5 10. Model with Mathematics Will a 2-quart pitcher hold the entire recipe of citrus punch given below? Explain your reasoning. Find the number of cups of punch the pitcher will hold. Since 2 pints = 1 quart and 2 cups = 1 pint, multiply by or. The pitcher will hold 8 cups of punch. Find the sum of the number of cups of liquid called for by the recipe. The recipe calls for c of punch. Since 8 c < c, the 2-quart pitcher will not hold all of the punch. esolutions Manual - Powered by Cognero Page 5
6 11. Multiple Representations Use the graph below. a. Numbers What does an ordered pair from this graph represent? b. Measurement Use the graph to find the capacity in quarts of a 2.5-gallon container. Explain your reasoning. c. Unit Rate What is the unit rate that converts gallons to quarts? d. Expressions Write an expression you could use to convert 2.5 gallons to quarts. a. Students should determine that the x-value represents the number of quarts and the y-value represents the equivalent number of gallons. b. Since the y-value represents the number of gallons, find the x-value that corresponds to a y-coordinate of 2.5. The graph shows that when y is 2.5, x is 10. So, 2.5 gal = 10 qt. Sample explanation: The point on the line whose y-value is equal to 2.5 is (10, 2.5). c. d. 12. Model with Mathematics Write a real-world problem in which you would need to convert pints to cups. Students should write a problem in which the number of pints is given and the equivalent number of cups is needed. Sample answer: Annabelle is making brownies. The recipe calls for 2 cups of sour cream. She has 2 pints of sour cream. Does she have enough sour cream to make the brownies? Persevere with Problems Fill in the with <, >, or = to make a true sentence. Justify your answers in. ft Since 1 foot = 12 inches, then 16 inches is equivalent to 1 foot + 4 inches, or 1 foot 4 inches. feet is equivalent to 1 foot 6 inches. Since 1 foot 4 inches < 1 foot 6 inches, 16 inches < feet. esolutions Manual - Powered by Cognero Page 6
7 14. gal 32 qt Since 4 quarts = 1 gallon, multiply gal by. Since gallons = 35 quarts and 35 quarts > 32 quarts, gallons > 32 quarts. 15. Persevere with Problems Give two different measurements that are equivalent to quarts. Find two different measurements that are equivalent to measurement in pints. There are 2 pints in 1 quart. quarts. Sample answer: Find the equivalent So, quarts = 5 pints. Find the equivalent measurement in ounces. There are 2 pints in 1 quart, 2 cups in 1 pint, and 8 fluid ounces in 1 cup. So, quarts = 80 fluid ounces. esolutions Manual - Powered by Cognero Page 7
8 16. Model with Mathematics Write a real-world problem that can represented by the graph. Sample answer: To determine his Body Mass Index, Patrick needs to know his height in inches. He knows one foot equals 12 inches. He is 5 feet tall. How tall is he in inches? Complete oz = lb Since 1 pound = 16 ounces, multiply by gal = qt Since 4 quarts = 1 gallon, multiply by. esolutions Manual - Powered by Cognero Page 8
9 19. 3 c = fl oz Since 8 fluid ounces = 1 cup, multiply by. 20. mi = ft Since 5,280 feet = 1 mile, multiply by c = pt Since 1 pint = 2 cups, multiply by. esolutions Manual - Powered by Cognero Page 9
10 22. T = lb Since 2,000 pounds = 1 ton, multiply by. 23. Speed skiing takes place on a course that is mile long. How many feet long is the course? Since 5,280 feet = 1 mile, multiply by. The course is 3,520 feet long. 24. A total of 35 pints of blood were collected at a local blood drive. How many quarts of blood were collected? Since 1 quart = 2 pints, multiply by. They collected quarts of blood. esolutions Manual - Powered by Cognero Page 10
11 25. On Monday, it snowed a total of 15 inches. On Tuesday and Wednesday, it snowed an additional inches and inches, respectively. A weather forecaster says that over the last three days, it snowed about feet. Is this a valid claim? Justify your answer. Find the total amount of snow that fell. The total amount of snow that fell was in. Since 1 foot = 12 inches, multiply by. It snowed a total of ft. Since feet is closer to 2 feet than feet, this claim is not valid. esolutions Manual - Powered by Cognero Page 11
12 Be Precise Complete the following statements. 26. If 16 c = 1 gal, then gal = c. Multiply by. 27. If 1,760 yd = 1 mi, then 880 yd = mi. Multiply by. 28. If 36 in. = 1 yd, then yd = in. Multiply by. esolutions Manual - Powered by Cognero Page 12
13 29. The heights of 5 friends are shown in the table. Determine if each statement is true or false. a. Maria is shorter than Jaquie. b. Martin is taller than Elliot. c. Jaquie is shorter than Elliot. d. Maria is taller than Adrienne. A. Convert Jaquie's height to ft. Maria is ft and Jaquie is 5 ft tall. Maria is taller. A is false B. Convert Elliot's height to inches. Martin is inches tall and Elliot is 68 inches tall. Martin is shorter B. is false. C. Jaquie is 5 ft tall and (see part A) and Elliot is ft tall. Jaquie is shorter. C. is true. D. Convert Maria's height to inches Adrienne is 65 in and Maria is 62 in. Adrienne is taller. D. is false 30. Sort the measurements from least to greatest. esolutions Manual - Powered by Cognero Page 13
14 Convert everything to fluid ounces. gal = 64 fl oz pt = 56 fl oz cups = 86 fl oz qt = 72 fl oz In order, the fluid ounces go: 48, 46, 64, 72, and 86 esolutions Manual - Powered by Cognero Page 14
15 Divide = = = esolutions Manual - Powered by Cognero Page 15
16 34. David baked 78 cookies for a bake sale. He set aside 12 cookies to share with volunteers. The remaining cookies are bagged with 3 cookies in each bag. How many bags does David need? Subtract 12 cookies from the 78 that David baked. Divide the 66 cookies by 3 because 3 cookies are placed in each bag. David needs 22 bags. 35. Refer to the diagram of a living room. The doorway will not have a baseboard. How many feet of baseboard are needed to go around the room? Find the perimeter of the room including the doorway. Then subtract the doorway from the total. Find common denominators. feet of baseboard are needed. esolutions Manual - Powered by Cognero Page 16
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Converting Within Measurement Systems. ESSENTIAL QUESTION How do you convert units within a measurement system? 6.RP.1.3d
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