Share it fairly. Name the share.

SparkClass

Cut equal sandwiches, deal every slice exactly once, and see why a division expression names a fraction.

CCSS 5.NF.B.3
Live Sharing Model
0 / 12 placed
01

Cut each whole into 4 equal slices. Deal one slice at a time; every slice gets exactly one home.

Total3 wholes
÷
Sharers4 people
=

Make the quotient visible

Keep the focus on the objects: a ÷ b means a whole items shared equally among b people. The denominator comes from the number of equal shares, not from the number of cuts made so far.

1

Predict before dealing

Ask, “Will each person get less than, exactly, or more than one whole? How do you know?” Use the Notice & Wonder panel only after students commit to a prediction.

2

Track one slice, then one person

Pause during a move. Each food token has one source and one destination; it is never copied. At the finish, each person has a slices of size 1/b, so each share is a × 1/b = a/b.

3

Compare the two strategies

With 5 ÷ 4 or 4 ÷ 3, compare “Slice each whole” with “Whole items first.” The dealing order changes, but the final share does not. Use the mixed number to connect whole items plus leftover slices.

4

Check conservation and equivalence

Try 2 ÷ 4 and 6 ÷ 4 to discuss simplified fractions. The model keeps a/b visible as the slice-counting story while the final result is simplified or written as a mixed number.

CCSS 5.NF.B.3: interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b), and solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers. This lab uses positive a and b ≥ 2; the general rule requires b ≠ 0.