Unit 02 · Family Guide

Expressions, Properties & Polynomial Foundations

Help the learner see structure before performing procedures.

Useful prompts

What are the terms? What are the factors?
Which parts are alike?
What property licenses that rewrite?
Can you verify the two forms at an input?
Can you reverse the transformation?

Misconceptions to watch

Adding exponents while adding terms.
Losing parentheses during negative substitution.
Partial distribution.
Combining unlike terms.
Using coefficient size to determine degree.
Changing only one sign when subtracting a polynomial.
Stopping before the greatest common factor is removed.

Evidence to preserve

Written structural defense, corrected misconception, pathway practice, Expression Architecture Lab, Boss Battle, and formal mastery evidence.