01
Division is the opposite chant
They can recite 12 ÷ 3 = 4 and cannot share 12 objects.
Topic hub
Division
Division is sharing and grouping — how many in each, or how many groups. Children struggle when the algorithm arrives before either picture, especially long division.
Why this concept matters
Fractions are division. Algebraic division is this idea with letters. Long division fails when sharing was never solid.
Misconceptions, in the order we see them
02
The big number always goes first
Word problems that divide a smaller by a larger feel impossible.
03
Remainders are leftovers to ignore
The remainder as a fraction or a ‘still to share’ is never named.
Which classes cover this
Related: Fractions · Decimals · Percentages · Ratio and proportion · Integers
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