Use the properties and mental math to solve. | Word Problems/ Tell key words & operation. | Patterns | Constructed Response |
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What is (3/8 + 2/3) + 1/3?
1 3/8
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What is "Ursula mixed 3 1/8 cups of dry ingredients with 1 2/5 cups of liquid ingredients. Which answer represents the best estimate of the total amount of ingredients Ursula mixed?"
About 4 1/2 cups; estimate, total amount; addition
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What is "Julie spends 3/4 hour studying on Monday and 1/6 hour studying on Tuesday. How many hours does Julie study on those two days?"
11/12 hour
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What is "A class uses 8 5/6 sheets of white paper and 3 1/12 sheets of red paper for a project. How much more white paper is used than red paper? Show your work using words, pictures, or numbers. Explain how you know your answer is reasonable."
5 3/4 sheets more; Possible explanation: I can estimate 8 5/6 is close to 9 and 3 1/12 is close to 3. 9 - 3 = 6. My answer, 5 3/4, is close to the estimate of 6, so my answer is reasonable.
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What is 1 4/5 + (2 3/20 + 3/5)?
4 11/20
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What is "Samuel walks in the Labor Day parade. He walks 3 1/4 miles along the parade route and 2 5/6 miles home. How many miles does Samuel walk in all?"
6 1/12 miles; in all; addition
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What is"Cody is designing a pattern for a wood floor. The length of the pieces of wood are 1 1/2 inches, 1 13/16 inches, and 2 1/8 inches. What is the length of the 5th piece of wood if the pattern continues?"
2 3/4 inches
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What is "For a family gathering, Marcos uses the recipe below to make a lemon-lime punch.
Lemon-Lime Punch 1/4 gallon lime juice; 2/3 gallon lemon juice; 1 1/4 gallons carbonated water How would you decide the size of a container you need for one batc
Add the ingredients for one batch of the entire mixture, 1/2 gallon + 2/3 gallon + 1 1/4 gallon = 2 1/6 gallons
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What is 3 5/9 + (1 7/9 + 2 5/12)?
7 3/4
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What is "A gardener has a container with 6 1/5 ounces of liquid plant fertilizer. On Sunday, the gardener uses 2 1/2 ounces on a flower garden. How many ounces of liquid plant fertilizer are left?"
3 7/10; are left; subtraction
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What is "Jarett's puppy weighed 3 3/4 ounces at birth. At one week old, the puppy weighed 5 1/8 ounces. At two weeks old, the puppy weighed 6 1/2 ounces. If the weight gain continues in this pattern, how much will the puppy weigh at three weeks old?"
7 7/8 ounces
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What is "If Marcos needs to make two batches of the recipe, how much of each ingredient will he need? How many gallons will he have in all?"
For two batches, double each ingredient; 1/4 + 1/4 = 1/2 gallon lime juice; 2/3 + 2/3 = 4/3= 1 1/3 gallon lemon juice; 1 1/4 + 1 1/4 = 2 1/2 gallons of carbonated water; Total for two batches= 1/2 gallon + 1 1/3 gallons + 2 1/2 gallons = 4 1/3 gallons.
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What is "Aaron is practicing for a triathlon. On Sunday, he bikes 12 5/8 miles and swims 5 2/3 miles. On Monday, he runs 6 3/8 miles. How many total miles does Aaron cover on the two days?"
24 2/3; total; addition
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What is "Mrs. Friedmon baked a walnut cake for her class. The pictures below showed how much cake she brought to school and how much she had left at the end of the day. Which fraction represents the difference between the amounts of cake Mrs. Friedmon had
1 5/8
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What is "Marcos had 1 1/3 gallons of punch left over. He poured all of it into several containers for family members to take home. Use fractional parts of a gallon to suggest a way he could have shared the punch in three different-sized containers."
Sample 1: 1/3 gal; 3/4 gal; 1/4 gal
Sample 2: 1/6 gal; 1/3 gal; 5/6 gal Sample 3: 5/12 gal; 7/12 gal; 1/3 gal |
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What is "Lynne bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How much did the bag of grapefruit weigh?"
3 11/16 pounds; total weight- addition; How much did the bag of grapefruit weigh?- subtraction
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What is "Collin has $25 in his bank at home. He decides to save for a new Xbox game. After one week, he has $36 in his bank. After two weeks, he has $47. After three weeks, he has $58. If this pattern continues, how much more money will Collin have saved
$102.00
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