Fraction Classroom · 2.0.0 · Student pages
Count how many unit fractions fit
Measure a whole-number amount with a unit-fraction scoop and explain why the number of groups can exceed the starting number.
Anonymous group code: __________ Date: __________
Quick diagnosis
Try all three. Explain with words, a sketch, or objects.
d2. A student says 2 ÷ 1/4 must be less than 2 because it is division. Explain using quarter-sized groups.
d3. Which equation describes “4 meters cut into 1/3-meter pieces”: 4 ÷ 1/3 or 1/3 ÷ 4? What does the answer count?
Worked examples
Study the example that matches the difficulty. Keep the other for a second session.
w1. How many 1/4-meter pieces can be cut from 3 meters of ribbon?
- Draw 0 to 3 meters with whole-meter landmarks.
- Divide each meter into four quarter-meter intervals.
- Count all twelve intervals as the pieces that fit.
- Check: 12 × 1/4 meter = 3 meters.
Worked example: 12 pieces.
w2. A 2-liter jug fills cups holding 1/6 liter each. How many full cups can it fill?
- One liter fills six cups of size 1/6 liter.
- Two liters contain two sets of six such cups.
- Count 2 × 6 = 12 cups.
- Check that twelve sixth-liters make 12/6 = 2 liters.
Worked example: 12 full cups.
Practice
For a short session, choose three tasks. Use the others for a second try or follow-up.
p1. How many 1/3-meter pieces fit in 2 meters? Write a multiplication check.
p2. Find 5 ÷ 1/2. Explain without using an invert-and-multiply rule.
p3. A tray holds 4 liters of soup. Each serving is 1/8 liter. How many servings are available?
p4. Which makes more pieces from the same 3-meter ribbon: pieces of size 1/4 meter or 1/6 meter? Give both counts.
p5. A student writes 3 ÷ 1/5 = 3/5. Check the proposed answer by multiplying it by 1/5, then repair it.
p6. Write a story for 2 ÷ 1/4. State what the 2, the 1/4, and the answer mean.
Transfer check
Try one independently. Save the other for a later check.