NY Next Generation Math AI-A.SSE.3

MathGrades 9–12Write expressions in equivalent forms to reveal their characteristics.

Standard Cluster

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

New York State Next Generation Mathematics Learning Standards

Cluster contents

Standards in This Cluster

AI-A.SSE.3 is a cluster heading. These are the individual standards under it.

Teacher's field guide

What This Cluster Means

What Students Need to Do

Students choose equivalent forms that expose useful features of a quantity in Algebra I. They factor quadratics, complete squares, or apply exponent properties when those forms clarify zeros, extrema, or growth.

What Mastery Looks Like

The student produces an equivalent expression and names the feature made visible by the new form. Algebraic work is correct, and expanding or substituting confirms equivalence.

Common Misconceptions

Students may rewrite an expression correctly but fail to explain what the form reveals. They may choose a familiar method that hides the feature the problem asks about.

How to Assess It

Give x squared minus 6x plus 5 and 2^(2x) times 2^(x minus 1). Ask for useful equivalent forms and explain the feature each reveals.

Lesson moves

Ways to Teach It

  1. Fold expression cards to reveal equivalent factored, expanded, and completed-square forms with labeled features.

  2. Ask students which form best answers a question about zeros, extrema, or growth and why.

  3. Play form-feature match with equivalent expressions and cards naming the property each form reveals.

  4. Choose a useful form of a revenue or area expression to answer a contextual question efficiently.

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Printable AI-A.SSE.3 Worksheet

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A ready-to-print activity worksheet aligned to AI-A.SSE.3, with an answer key for the teacher on its own page. No account needed.

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