Printable Properties of Operations Worksheets
Printable properties of operations worksheets for 3rd and 4th grade, with an answer key on every sheet. The sets below cover 3 different skills, so you can start where your child actually is. Available as speed drills and visual guides.
Targeted Practice by Skill
About Properties of Operations
What this skill is
Properties of operations (commutative, associative, and distributive) are core mathematical laws that govern how numbers can be rearranged, regrouped, or decomposed to simplify calculations.
When children learn it
Properties of operations are taught in 3rd through 5th grade, aligned to Common Core standards 1.OA.B.3, 3.OA.B.5, and 3.OA.B.6.
Teaching Tips
- Use rotated 2D dot arrays to visually prove that a x b = b x a.
- Decompose multi-digit numbers using split rectangle area models for the distributive property.
Common Mistakes
- Applying commutative or associative properties to subtraction or division where order and grouping change the answer.
- Confusing commutative property (order change) with associative property (grouping change).