Properties of Multiplication and Division

Understand multiplication conceptually through equal groups, arrays, number lines, repeated addition, and multiplicative comparison.

Master fair-share partitioning, measurement grouping, and visual models of whole-number division.

Achieve automatic recall of multiplication and division facts through 10 × 10 and apply parity rules.

Apply the commutative, associative, and distributive properties to multiply, divide, and simplify calculations.

Find unknown values represented by symbols, boxes, and letters in multi-term equations across all four operations.

Formulate and solve one-step and two-step contextual word problems using all four operations, visual diagrams, and equations.

Identify, extend, and generate arithmetic and geometric patterns, and formulate verbal rules for input-output tables.