This problem guides students to think through a fraction problem involving equivalent fractions, benchmark fractions, addition with fractions and determining reasonableness of an answer.

Mathfractionsmulti step problems

Created 3 years ago

Duration 0:22:27
244
This problem guides students to think through a fraction problem involving equivalent fractions, benchmark fractions, addition with fractions and determining reasonableness of an answer.
Slide Content
1. Slide 1 - Parcc math example

• 5th grade reasonable fractions problem
2. 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?

5. 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. 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. 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. 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. 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.