Georgia 8.NR.2.1
The Standard
Apply the properties of integer exponents to generate equivalent numerical expressions.
Georgia's K-12 Mathematics Standards · Solve problems involving radicals and integer exponents including relevant application situations; apply place value understanding with scientific notation and use scientific notation to explain real phenomena.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use product, quotient, power, zero-exponent, and negative-exponent rules to rewrite numerical expressions. They explain why two different forms have the same value.
What Mastery Looks Like
- A student can simplify expressions such as 2³ · 2⁻⁵ and (3²)⁻¹ without expanding every power. The student chooses the correct rule, handles negative exponents correctly, and checks the result.
Common Misconceptions
- Students often add exponents when raising a power to a power, or multiply exponents when multiplying like bases. They may think 5⁰ = 0, read 5⁻² as a negative number, or combine exponents across unlike bases.
How to Assess It
- Exit ticket: Rewrite 2⁴ · 2⁻⁶ using a positive exponent, evaluate it, and name the rule used.
Lesson moves
Ways to Teach It
In pairs, match cards such as 3² · 3⁻⁵, 3⁻³, and 1/27, then justify each match with an exponent rule.
Ask: Is 2⁻³ equal to −8 or 1/8? Students write two sentences and use an expanded fraction as evidence.
Teams draw base, exponent, and rule cards, create an equivalent expression, and earn a point when another team verifies it.
Use metric measurements to determine how many micrometers fit in one millimeter, showing the quotient with powers of ten.
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Printable 8.NR.2.1 Worksheet
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Related Standards
- 8.NR.2
Solve problems involving radicals and integer exponents including relevant application situations; apply place value understanding with scientific notation and ...
- 6.PAR.6.5
Apply the properties of operations to identify and generate equivalent expressions.
- 6.PAR.6.1
Write and evaluate numerical expressions involving rational bases and whole-number exponents.
- 7.PAR.2
Use properties of operations, generate equivalent expressions and interpret the expressions to explain relevant contextual situations.
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