NY Next Generation Math AI-A.CED.4
The Standard
Rewrite formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students rearrange formulas in Algebra I to isolate a quantity of interest. They apply valid inverse operations to both sides while preserving equivalent relationships.
What Mastery Looks Like
- The student isolates the requested variable in a multivariable formula and records algebraically equivalent steps. Substitution into the original and rewritten forms gives matching values.
Common Misconceptions
- Students may divide only one term in a sum, move a term by changing its sign without showing an operation, or confuse subscripts with factors. They may stop before the target variable is alone.
How to Assess It
- Ask students to rewrite A equals one-half h times the sum of b one and b two for h, then verify with numerical values.
Lesson moves
Ways to Teach It
Use balance cards for formula terms and perform the same inverse operation on both sides.
Ask students which operation should be undone first when the target variable appears inside grouped factors.
Play formula relay by passing a multivariable formula through one justified rearrangement at each station.
Rearrange a distance, temperature, or geometry formula to solve for the measurement needed in a practical task.
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Printable AI-A.CED.4 Worksheet
A ready-to-print activity worksheet aligned to AI-A.CED.4, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- NY-7.EE.2
Understand that rewriting an expression in different forms in real-world and mathematical problems can reveal and explain how the quantities are related.
- NY-3.OA.8.a
Represent these problems using equations or expressions with a letter standing for the unknown quantity.
- AI-A.SSE.3
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
- AII-A.SSE.3
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
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