5th grade Parcc math example

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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5th grade Parcc math example

Created 3 years ago

Duration 0:22:27
lesson view count 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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  1. Parcc math example

    Slide 1 - Parcc math example

    • 5th grade reasonable fractions problem
  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?

    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.
  3. 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?
  4. workspace

    Slide 4 - workspace

  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?

    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.
  6. Slide 6

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

    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.
  8. 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.
  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?

    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.
  10. 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.
  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?

    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.
  12. 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.
  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?

    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.