Multiplication and division: a learning progression
Connect equal groups, arrays, facts, and partial products before moving to larger calculations.
Before you begin
Add equal quantities and partition a group fairly.
Readiness depends on the ideas you can use, not only your age or grade. Start earlier in the sequence when an example feels unfamiliar.
How the skill develops
- Model equal groups with repeated addition and arrays.
- Use known facts to derive nearby facts and inverse division facts.
- Split factors by place value and include every partial product.
- Interpret remainders and choose a strategy for multi-step word problems.
What grade is this taught?
Our catalog includes this progression from grade 2 through grade 6. That is a map of the practice available here, not a rule that every school uses the same schedule. Earlier grades may introduce models that later grades formalize.
The sequence is our teaching organization, informed by the published curriculum reference. High-school courses and calculus enrollment vary; check your school’s syllabus for placement decisions.
Build your next practice steps
Mark skills you already feel comfortable with. We’ll suggest the next unchecked skills in this sequence. This is a self-selected path, not a test score.