CCSS.Math.Content.8.EE.A
The standard
Work with radicals and integer exponents.
Common Core State Standards for Mathematics
What this standard means
Students need to use exponent rules with whole-number, zero, and negative exponents. They also need to understand square roots and cube roots, estimate irrational roots, and use powers of 10 for very large or very small numbers.
Mastery looks like simplifying expressions without changing their value, explaining why a negative exponent means a reciprocal, and placing roots on a number line. Students often mix up negative bases with negative exponents, think √50 is 25, or treat exponent rules as steps to memorize instead of meanings.
Ways to teach it
- Hands-on: Give students square tiles and cubes to model perfect squares, perfect cubes, square roots, and cube roots before using symbols.
- Prompt: Ask students to explain why 2^-3 equals 1/8 using a pattern table from 2^3 down to 2^-3.
- Quick assessment: Put four expressions on the board, including a negative exponent and a radical estimate, and have students simplify on exit tickets.
- Real-world connection: Use scientific notation to compare the size of a red blood cell, a bacterium, Earth, and the Sun.
Plan a lesson for CCSS.Math.Content.8.EE.A
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Related standards
- CCSS.Math.Content.8.EE.A.1
Know and apply the properties of integer exponents to generate equivalent numerical expressions.
- CCSS.Math.Content.HSN-RN.A.2
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
- CCSS.Math.Content.HSN-RN.A
Extend the properties of exponents to rational exponents.
- CCSS.Math.Content.6.EE.A.1
Write and evaluate numerical expressions involving whole-number exponents.