Fraction Kitchen

What your child will figure out

• Build proper fractions across halves through fifteenths and explain the numerator and denominator as covered parts and total equal parts.
• Build and predict equivalent fractions created by re-slicing an unchanged amount by factors of two and three.
• Compose target fractions from compatible mixed unit fractions instead of relying on one repeated piece size.
• Compare and identify equality among unlike fractions, including close pairs, then transfer all four relationships into adaptive practice across varied contexts and denominators up to 24.

The levels

1. Same-size slices

   Build 3/4 from quarters and explain both numbers as covered and total equal parts.

2. Two ways, one amount

   Build 1/2 and 2/4 on matched plates and explain repeatable equivalence.

3. Predict the eighths

   Predict and test the numerator in 3/4 = ?/8.

4. The chef’s challenge

   Build and compare 2/3 and 5/6 using equal-sized plates.

5. Fifths for lunch

   Transfer part-whole building to the unfamiliar target 2/5.

6. Thirds become sixths

   Build 2/3 and 4/6 as two repeatable names for one amount.

7. Tenths prediction

   Predict and test the numerator in 3/5 = ?/10.

8. A close dinner call

   Distinguish the close pair 3/4 and 5/8 by covered and uncovered area.

9. Triple-cut catering

   Scale 2/5 into fifteenths by a factor of three and verify the prediction.

10. Different cuts, exact tie

    Recognise and justify that 4/6 and 6/9 are equal.

11. Mixed-piece platter

    Compose 7/12 from a choice of compatible thirds, quarters, sixths, and twelfths.

12. Banquet transfer

    Compare the unfamiliar close pair 7/10 and 5/8 without digit shortcuts.