Fraction Classroom · 2.0.0 · Student pages

Equivalent Fractions & Defensible Comparisons

Preserve value while repartitioning, choose a comparison strategy, and justify decisions with equal wholes.

Anonymous group code: __________ Date: __________

Pre-assessment

Use an anonymous code S01–S40, not a name. Suggested time: 15–20 minutes. Show your reasoning with a model, words or an equation. Use the same access supports on both occasions.

c202-pre-1. A strip has 2 of 3 equal parts shaded. Split every third into two equal parts. Name the new shaded fraction and explain whether the amount changed.

c202-pre-2. Complete 3/4 = ?/12. Explain the operation on both numbers.

c202-pre-3. Compare 3/5 and 3/8 of the same whole. Explain without decimals.

c202-pre-4. Two walkers travel 5/12 km and 7/12 km. Which distance is farther and by how much? Explain the unit you counted.

c202-pre-5. Use 1/2 to compare 2/5 and 5/8. Show why each lies on its side of 1/2.

c202-pre-6. Both 3/4 and 5/6 are greater than 1/2. Is that enough to order them? Finish the comparison using distance from 1.

Post-assessment

Use an anonymous code S01–S40, not a name. Suggested time: 15–20 minutes. Show your reasoning with a model, words or an equation. Use the same access supports on both occasions.

c202-post-1. A quilt diagram shades 3 of 4 equal rows. A student divides each row into three equal cells. How many cells are shaded, out of how many? Explain why the fraction is equivalent.

Equivalent Fractions & Defensible Comparisons

Pre-assessment

c202-pre-1. A strip has 2 of 3 equal parts shaded. Split every third into two equal parts. Name the new shaded fraction and explain whether the amount changed.

c202-pre-2. Complete 3/4 = ?/12. Explain the operation on both numbers.

c202-pre-3. Compare 3/5 and 3/8 of the same whole. Explain without decimals.

c202-pre-4. Two walkers travel 5/12 km and 7/12 km. Which distance is farther and by how much? Explain the unit you counted.

c202-pre-5. Use 1/2 to compare 2/5 and 5/8. Show why each lies on its side of 1/2.

c202-pre-6. Both 3/4 and 5/6 are greater than 1/2. Is that enough to order them? Finish the comparison using distance from 1.

Post-assessment

c202-post-1. A quilt diagram shades 3 of 4 equal rows. A student divides each row into three equal cells. How many cells are shaded, out of how many? Explain why the fraction is equivalent.

c202-post-2. A label says 8/12 = 2/?. Find the missing denominator and describe how to undo the repartition.

c202-post-3. A recipe uses either 4 scoops of size 1/6 cup or 4 scoops of size 1/10 cup. Which option uses less? Write and justify the comparison.

c202-post-4. A runner is at 11/12 km; a marker is at 8/12 km. Describe the runner’s position relative to the marker and the gap.

c202-post-5. Sort 7/12 and 3/8 on either side of 1/2, then order them. Explain the halfway test.

c202-post-6. Two equal-capacity tanks are 7/8 full and 9/10 full. Both are almost full. Decide which is fuller by comparing the empty fractions.