NY Next Generation Math NY-6.EE.6
The Standard
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem. Understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use variables to represent numbers and write expressions for real-world and mathematical problems. They distinguish a variable representing one unknown value from a variable representing any value in a specified set.
What Mastery Looks Like
- A student represents the cost of n five-dollar notebooks plus a twelve-dollar fee as 5n + 12. The student explains that n can be any allowed whole-number quantity rather than one fixed unknown.
Common Misconceptions
- Students may treat a variable as a label or assume it always has one fixed value. They may omit a constant charge or write operations in an order that changes the situation.
How to Assess It
- Describe a taxi charge of four dollars plus three dollars per mile. Ask students to write an expression and explain what the variable represents and which values make sense.
Lesson moves
Ways to Teach It
Use bags for variable quantities and loose counters for constants, then translate each arrangement into an expression.
Ask students when a letter represents one unknown and when it can represent many allowed numbers.
Play context-expression match with variable descriptions, constants, operations, and reasonable specified sets.
Write expressions for admission fees, repeated item costs, or distance rates with variable quantities.
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Printable NY-6.EE.6 Worksheet
A ready-to-print activity worksheet aligned to NY-6.EE.6, 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-7.EE.4
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning ab...
- NY-6.EE.9
Use variables to represent two quantities in a real-world problem that change in relationship to one another. Given a verbal context and an equation, identify t...
- NY-6.EE.2.c
Evaluate expressions given specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operatio...
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