Division as the Inverse of Multiplication
Dividing is undoing equal grouping: the dividend equals divisor times quotient, and repeated subtraction reaches the same answer. Learners meet equal sharing, the multiply-then-divide two-step, and the relation that a larger dividend yields a larger quotient. This unknown-factor view is the basis for all later division reasoning.
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Progression (4)
3-1 1. Dividend equals divisor times quotient 3.OA.B.63.OA.A.4
3-1 2. Division as repeated subtraction 3.OA.A.23.OA.A.3
3-1 3. Find the total first, then divide 3.OA.D.83.OA.A.3
3-1 4. Larger dividend gives larger quotient 3.OA.A.23.OA.A.3