Common Core Math - HS Algebra
Lesson Plan
Prove and use polynomial identities
Goals / Objectives
Distinguish a polynomial identity (true for all values) from a polynomial equation (true for specific values), and justify the distinction
Prove polynomial identities by expanding both sides and showing they are equal, or by algebraically transforming one side to match the other
Apply the standard polynomial identities (difference of squares, sum/difference of cubes, and the given Pythagorean-triple identity) to simplify or verify expressions
Use the Pythagorean-triple identity (x² + y²)² = (x² - y²)² + (2xy)² to generate Pythagorean triples by substituting specific integer values
Explain how a polynomial identity creates an infinite family of numerical relationships
Standards
HSA.APR.C.4
Academic Vocabulary
Not in our source material
Remediation
Enrichment
Accommodations
Not in our source material