5th grade Parcc math example
Created 3 years ago
Duration 0:22:27
214
This problem guides students to think through a fraction problem involving equivalent fractions, benchmark fractions, addition with fractions and determining reasonableness of an answer.

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Slide 1  Parcc math example
 5th grade reasonable fractions problem

Slide 2  Len walks 3 / 10 miles in the morning to school. He walks 2 / 5 miles in the afternoon to a friend’s house. Len says that he walks a total of 5 / 15 mile in the morning and afternoon. Which 2 statements are true?
 Since 3/10 plus 2/5 is 5/15, the total of 5/15 is reasonable.
 Since 5/15 is less than 2/5, the total of 5/15 is not reasonable.
 The fractions 5/15, 3/10, and 2/5 are all less than ½, so the total of 5/15 is reasonable.
 The fraction 5/15 is 1/3, and 1/3 is greater than 3/10. Since 5/15 is greater than one of the addends, the total of 5/15 is reasonable.
 The fractions 3/10 and 2/5 are each greater than ¼, so the total must be greater than ½. The fraction 5/15 is less than ½, so the total of 5/15 is not reasonable.

Slide 3
 Len walks 3 / 10 miles in the morning to school.
 He walks 2 / 5 miles in the afternoon to a friend’s house.
 Len says that he walks a total of 5 / 15 mile in the morning and afternoon.
 Which 2 statements are true?

Slide 4  workspace

Slide 5  Len walks 3 / 10 miles in the morning to school. He walks 2 / 5 miles in the afternoon to a friend’s house. Len says that he walks a total of 5 / 15 mile in the morning and afternoon. Which 2 statements are true?
 Since 3/10 plus 2/5 is 5/15, the total of 5/15 is reasonable.
 Since 5/15 is less than 2/5, the total of 5/15 is not reasonable.
 The fractions 5/15, 3/10, and 2/5 are all less than ½, so the total of 5/15 is reasonable.
 The fraction 5/15 is 1/3, and 1/3 is greater than 3/10. Since 5/15 is greater than one of the addends, the total of 5/15 is reasonable.
 The fractions 3/10 and 2/5 are each greater than ¼, so the total must be greater than ½. The fraction 5/15 is less than ½, so the total of 5/15 is not reasonable.

Slide 6
 B. Since 5/15 is less than 2/5, the total of 5/15 is not reasonable.

Slide 7  Len walks 3 / 10 miles in the morning to school. He walks 2 / 5 miles in the afternoon to a friend’s house. Len says that he walks a total of 5 / 15 mile in the morning and afternoon. Which 2 statements are true?
 Since 3/10 plus 2/5 is 5/15, the total of 5/15 is reasonable.
 Since 5/15 is less than 2/5, the total of 5/15 is not reasonable.
 The fractions 5/15, 3/10, and 2/5 are all less than ½, so the total of 5/15 is reasonable.
 The fraction 5/15 is 1/3, and 1/3 is greater than 3/10. Since 5/15 is greater than one of the addends, the total of 5/15 is reasonable.
 The fractions 3/10 and 2/5 are each greater than ¼, so the total must be greater than ½. The fraction 5/15 is less than ½, so the total of 5/15 is not reasonable.

Slide 8
 C. The fractions 5/15, 3/10, and 2/5 are all less than ½, so the total of 5/15 is reasonable.

Slide 9  Len walks 3 / 10 miles in the morning to school. He walks 2 / 5 miles in the afternoon to a friend’s house. Len says that he walks a total of 5 / 15 mile in the morning and afternoon. Which 2 statements are true?
 Since 3/10 plus 2/5 is 5/15, the total of 5/15 is reasonable.
 Since 5/15 is less than 2/5, the total of 5/15 is not reasonable.
 The fractions 5/15, 3/10, and 2/5 are all less than ½, so the total of 5/15 is reasonable.
 The fraction 5/15 is 1/3, and 1/3 is greater than 3/10. Since 5/15 is greater than one of the addends, the total of 5/15 is reasonable.
 The fractions 3/10 and 2/5 are each greater than ¼, so the total must be greater than ½. The fraction 5/15 is less than ½, so the total of 5/15 is not reasonable.

Slide 10
 D. The fraction 5/15 is 1/3, and 1/3 is greater than 3/10. Since 5/15 is greater than one of the addends, the total of 5/15 is reasonable.

Slide 11  Len walks 3 / 10 miles in the morning to school. He walks 2 / 5 miles in the afternoon to a friend’s house. Len says that he walks a total of 5 / 15 mile in the morning and afternoon. Which 2 statements are true?
 Since 3/10 plus 2/5 is 5/15, the total of 5/15 is reasonable.
 Since 5/15 is less than 2/5, the total of 5/15 is not reasonable.
 The fractions 5/15, 3/10, and 2/5 are all less than ½, so the total of 5/15 is reasonable.
 The fraction 5/15 is 1/3, and 1/3 is greater than 3/10. Since 5/15 is greater than one of the addends, the total of 5/15 is reasonable.
 The fractions 3/10 and 2/5 are each greater than ¼, so the total must be greater than ½. The fraction 5/15 is less than ½, so the total of 5/15 is not reasonable.

Slide 12
 E. The fractions 3/10 and 2/5 are each greater than ¼, so the total must be greater than ½. The fraction 5/15 is less than ½, so the total of 5/15 is not reasonable.

Slide 13  Len walks 3 / 10 miles in the morning to school. He walks 2 / 5 miles in the afternoon to a friend’s house. Len says that he walks a total of 5 / 15 mile in the morning and afternoon. Which 2 statements are true?
 Since 3/10 plus 2/5 is 5/15, the total of 5/15 is reasonable.
 Since 5/15 is less than 2/5, the total of 5/15 is not reasonable.
 The fractions 5/15, 3/10, and 2/5 are all less than ½, so the total of 5/15 is reasonable.
 The fraction 5/15 is 1/3, and 1/3 is greater than 3/10. Since 5/15 is greater than one of the addends, the total of 5/15 is reasonable.
 The fractions 3/10 and 2/5 are each greater than ¼, so the total must be greater than ½. The fraction 5/15 is less than ½, so the total of 5/15 is not reasonable.