Rewrite expressions using structure

Start lessonBegins with Pattern recognition and factoring · Slides

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

HSA.SSE.A.2

**HSA.SSE.A.2**: Use the structure of an expression to identify ways to rewrite it. For example, see x^4 - y^4 as (x^2)^2 - (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 - y^2)(x^2 + y^2).

HSA.SSE.A.2: Use the structure of an expression to identify ways to rewrite it. For example, see x^4 - y^4 as (x^2)^2 - (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 - y^2)(x^2 + y^2).

What you'll learn

Identify algebraic patterns (difference of squares, perfect square trinomials, sum/difference of cubes) within expressions by examining their structure
Rewrite expressions by recognizing and applying known factoring patterns, including in cases where substitution reveals hidden structure
Use a temporary substitution (e.g., letting u = x^2) to simplify the apparent form of an expression and apply known patterns
Explain why a particular rewriting strategy was chosen based on the visible structure of the expression
Verify that a rewritten expression is equivalent to the original by expanding or evaluating at test values

Review first: