Exponents and polynomials: a learning progression
Develop exponent rules and polynomial structure to simplify expressions and solve equations.
Before you begin
Multiply signed quantities and use the distributive property.
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
- Interpret whole-number exponents as repeated multiplication.
- Extend rules to zero and negative exponents and scientific notation.
- Add, multiply, and factor polynomials by their structure.
- Use factors and restrictions when solving polynomial and rational equations.
What grade is this taught?
Our catalog includes this progression from grade 8 through grade 9. 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.