Fraction Slice: Pizza Parlor

What your child will figure out

• Build and name a proper fraction by cutting one whole into equal parts and selecting the numerator's count.
• Demonstrate equivalence by re-slicing one fixed gap into a finer number of equal pieces without changing its amount.
• Add or subtract fractions by converting both amounts to a common slice size, then fitting the result into a gap.
• Compare unlike fractions by the length they cover on equal wholes rather than by numerator or denominator alone.

The levels

1. The three-quarter order

   Predict, cut a pizza into four equal slices, serve three into a 3/4 order, observe the exact edge, and explain numerator and denominator roles.

2. Same order, finer slices

   Predict and build 6/8 against the unchanged 3/4 order, then explain equivalence as the same covered amount with finer slicing.

3. Two amounts, one order

   Convert 1/2 and 1/4 to common quarter-slices, combine them as 3/4, and explain why denominators are not added.

4. Which pizza serves more?

   Transfer the part-whole model to compare 2/3 and 3/5 on equal pizzas and select the fraction covering more of a whole.

5. The two-fifths lunch

   Build 2/5 with a new odd denominator and explain that the numerator counts selected equal parts.

6. Thirds become twelfths

   Scale 2/3 to 8/12 while keeping the covered amount fixed and explain why both fraction numbers scale together.

7. Two recipes, sixths

   Convert 1/3 and 1/2 to sixths and combine them as 5/6 without revealing the result before the child acts.

8. Save what remains

   Subtract 1/2 from 3/4 by rewriting the half as quarters and serving the positive difference.

9. A close-call comparison

   Compare 5/8 and 2/3 by aligned endpoints, resisting the larger-numerator and larger-denominator shortcuts.

10. The twelve-slice special

    Find twelfths as the least common slice for 1/4 + 1/3 and combine 3/12 with 4/12.

11. Sixths after the takeaway

    Subtract 1/3 from 5/6 using sixths and represent the equivalent result in the required slice size.

12. Chef's closest call

    Transfer all campaign reasoning to distinguish the close pair 8/11 and 9/12 on equal wholes.