NY Next Generation Math NY-7.EE.2
The Standard
Understand that rewriting an expression in different forms in real-world and mathematical problems can reveal and explain how the quantities are related.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students rewrite an expression into an equivalent form that makes a relationship easier to see. They explain what the new form reveals about the quantities in a mathematical or real-world problem.
What Mastery Looks Like
- A student rewrites x + 0.20x as 1.20x and explains that both forms represent a 20% increase. The student chooses the form that communicates the relationship more clearly.
Common Misconceptions
- Students may think expressions with different appearances must have different values or combine terms that are not alike. They may also rewrite correctly without explaining what the new form reveals.
How to Assess It
- Ask students to rewrite p + 0.08p in an equivalent form. Have them explain how each form represents an original price plus 8% tax.
Lesson moves
Ways to Teach It
Combine a strip labeled x with a strip labeled 0.25x, then replace both with one strip labeled 1.25x.
Ask students what 4n + 2n reveals differently from 6n, even though the expressions are equivalent.
Match equivalent-expression cards to context cards, then explain which form makes the relationship easiest to see.
Rewrite a price plus tip as one multiplication expression and explain how the new form shows the final-price factor.
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Printable NY-7.EE.2 Worksheet
A ready-to-print activity worksheet aligned to NY-7.EE.2, with an answer key for the teacher on its own page. No account needed.
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