Unit 12

Polynomials, Modeling & Comparison

Polynomial arithmetic and choosing among linear, exponential, and quadratic models.

Algebra I Regents

Essential question: Which function family best tells the story of this situation?

Polynomial Operations

Combine like terms to add/subtract. Multiply with the distributive property (or a table). Degree adds when multiplying monomials.

AI-A.APR.1 · AI-A.SSE.1

Comparing Linear, Exponential, and Quadratic Models

Algebra I Regents

Linear: first differences constant. Exponential: ratios constant. Quadratic: second differences constant. Context also matters: constant amount vs constant percent vs symmetric vertex stories.

AI-F.LE.1 · AI-F.IF.4 · AI-F.IF.9