NY Next Generation Math NY-6.EE.2.c
The Standard
Evaluate expressions given specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order (Order of Operations).
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students substitute given values for variables and evaluate the resulting expression. They use the conventional order of operations, including whole-number exponents, in expressions and formulas.
What Mastery Looks Like
- The student evaluates 3x squared plus 2 when x equals 4 and shows each step in order. The student can use a supplied formula with a given variable value.
Common Misconceptions
- Students may replace x squared with twice the value of x. They may perform operations from left to right instead of handling exponents, multiplication, and grouping first.
How to Assess It
- Give students A = 6s squared and s = 3. Ask them to substitute, evaluate, and show the order of their steps.
Lesson moves
Ways to Teach It
Use number tiles to replace variables in expression cards, then evaluate each card step by step.
Ask students to explain why substituting 4 into x squared gives 16 rather than 8.
Run an error-analysis relay where teams correct order-of-operations mistakes after substituting supplied values.
Use a supplied area or volume formula to calculate a measurement from a given dimension.
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