Cesar ran 2 miles on Tuesday and 2 miles on Thursday. How many miles 6 9 did Cesar run altogether?
A 5
14 18
B 4
14
C 4
6
18
15
miles
miles miles
8
D 4 miles 9
4.
1
1
Cruz finished of his homework during recess and of his homework in the 2 3 after-school program. By the time he got home, how much of his homework was already completed?
For questions 5 and 6, use the following scenario. Nancy and Jorge are in charge of the confetti for a surprise 4 2 party. Nancy has 3 pounds and Jorge has 1 pounds. 7
5.
5
How much confetti do they have altogether? A 4 B 4
6 12 5 35
pounds pounds
6
C 4 pounds 7
D 4
6.
34 35
pounds
Which statement could be used to demonstrate that your answer is reasonable? A Each addend must be greater than their sum. B When finding the sum of fractions, the numerators and denominators 4 2 are added. So, when adding 3 + 1 , the numerator of the sum must 7 5 be 6 and the denominator must be 12. 4
2
1
1
C 3 and 1 are close to benchmark fractions 3 and 1 , so their sum 7 5 2 2 must be close to 5. D When finding the sum of fractions, the denominators are added. So, 4 2 when adding 3 + 1 , the denominator of the sum must be 12. 7
If I ate of a pizza on Saturday for dinner and of the same pizza on Sunday 3 5 for lunch, how much of the pizza would I have eaten in total? Use an area model to guide your thinking.
A B C
13 15 3 8
of the pizza
of the pizza
14 15
of the pizza
D the whole pizza
8.
5
Carolina and Katya are decorating for a holiday. Carolina has 7 yards of 3
7
blue ribbon and Katya has 10 yards of green ribbon. How many yards of 4 ribbon do they have in all?
14. Catherine bought fabric. She used 5 yards to make dresses, and has 2 3 4 yards left. How many yards of fabric did she buy? Select the equations that represent the solution. 1
16. Mr. Jones wants to remodel his backyard and grow his own food. He decides 3 1 to use of the land for a vegetable garden and for fruit trees. What 8 3 fraction of his backyard will be used to grow food? Solve using a model or algorithm.
Use benchmark fractions to estimate and determine whether your answer is reasonable. Explain your thinking.