CCSS.Math.Content.8.EE.A.1
The standard
Know and apply the properties of integer exponents to generate equivalent numerical expressions.
Common Core State Standards for Mathematics · Expressions and Equations
What this standard means
Students need to simplify expressions with integer exponents, including zero and negative exponents. They should use exponent rules for multiplying, dividing, and raising powers to powers, then write equivalent numerical expressions without changing value.
Mastery looks like choosing the right rule and explaining why the expression stays equal. Students often mix up negative exponents with negative numbers, treat zero exponents as zero, or add exponents when raising a power to a power.
Ways to teach it
- Give pairs exponent card sets, such as 2^3, 2^-1, 2^0, and 2^3 divided by 2^4, and have them match equivalents.
- Ask students to explain in writing why 5^-2 equals 1/25, not -25 or -10.
- Use a five-question exit ticket with one product, quotient, power of a power, zero exponent, and negative exponent problem.
- Connect negative exponents to calculator display by rewriting 10^-3 as 0.001 in metric measurements like millimeters to meters.
Plan a lesson for CCSS.Math.Content.8.EE.A.1
Generate a complete lesson plan aligned to this standard, with objectives, activities, and materials. Free, no account needed.
Related standards
- CCSS.Math.Content.HSA-SSE.B.3c
Use the properties of exponents to transform expressions for exponential functions.
- CCSS.Math.Content.6.EE.A.1
Write and evaluate numerical expressions involving whole-number exponents.
- CCSS.Math.Content.6.EE.A.3
Apply the properties of operations to generate equivalent expressions.
- CCSS.Math.Content.7.EE.A
Use properties of operations to generate equivalent expressions.