CCSS.Math.Content.6.EE.A.2c
The standard
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
Common Core State Standards for Mathematics
What this standard means
Students need to plug given numbers into expressions and formulas, then calculate accurately. They must follow order of operations, including exponents, multiplication, division, addition, and subtraction. Variables should feel like placeholders for numbers, not mystery symbols.
Mastery looks like showing each substitution, using parentheses when replacing variables, and computing in the correct order. Students often get stuck by multiplying before handling exponents, ignoring fractions, or writing unclear work. They may also confuse 6s² with (6s)² or treat 3x as 3 + x.
Ways to teach it
- Hands-on activity: Give students cube nets and side lengths, then have them calculate surface area and volume using A = 6s² and V = s³.
- Discussion prompt: Ask, “Why does 3x² give a different answer than (3x)² when x = 4?”
- Quick assessment: Post four expressions with x = 2, including exponents, and have students show substitution and one calculation step.
- Real-world connection: Use a phone plan formula, C = 25 + 10g, and have students find costs for different gigabyte amounts.
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Related standards
- CCSS.Math.Content.7.EE.B
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
- CCSS.Math.Content.5.OA.A.2
Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.
- CCSS.Math.Content.6.EE.A.1
Write and evaluate numerical expressions involving whole-number exponents.
- CCSS.Math.Content.6.EE.A.2
Write, read, and evaluate expressions in which letters stand for numbers.