Fraction Classroom · 2.0.0 · Student pages

Fraction Products, Scaling & Two Kinds of Division

Interpret products and scaling, share a unit fraction among whole-number groups, and count unit-fraction servings.

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.

c204-pre-1. A rectangle is 2/3 meter by 3/4 meter. Sketch it inside a 1 m by 1 m square and find its area.

c204-pre-2. Without multiplying first, compare (4/5) × (3/7) with 3/7. Then find the product and explain your prediction.

c204-pre-3. One fourth of a liter of juice is shared equally among 3 cups. How much goes in each cup? Show the original liter and the shares.

c204-pre-4. A student claims (1/2) ÷ 4 = 2. Use a multiplication check to correct the claim and explain what the quotient means.

c204-pre-5. How many 1/3-cup servings can be made from 2 cups? Draw or count the servings and state what the quotient counts.

c204-pre-6. A ribbon is 3 meters long and is cut into 1/4-meter pieces. Write a division equation and a multiplication equation to check the number of pieces.

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.

c204-post-1. A garden bed is 3/5 meter wide and 1/2 meter long. Tile a unit square to show the bed’s area and label the square units.

c204-post-2. A design is enlarged by a factor of 5/4. Its original width is 2/3 meter. Predict whether the new width is greater or less, then calculate and justify.

c204-post-3. A 1/3-meter strip is divided equally into 2 tabs. Draw the tabs relative to a whole meter and find the length of each.

c204-post-4. A baker splits 1/5 kg of dough equally among 4 rolls. Decide whether 1/20 kg per roll is correct and use multiplication to justify.

c204-post-5. A station has 3 liters of paint. Each sample jar holds 1/5 liter. How many full jars can it fill? Show the count per liter and in all.

c204-post-6. A 4-meter rope is cut into 1/2-meter lengths. Someone predicts fewer than 4 pieces because this is division. Correct the prediction with two equations.