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Learning Goal
Part of: Interpret the structure of expressions — 2 of 2 cluster items
Rewrite expressions using structure
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).
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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
Prerequisites
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Task-sets
Learning resource • 2 task-setss