Georgia standard · Mathematics

`A.NR.5`Radical & Irrational Numbers

Investigate rational and irrational numbers and rewrite expressions involving square roots and cube roots.

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Expectations

A.NR.5.1
Rewrite algebraic and numeric expressions involving radicals.
A.NR.5.2
Using numerical reasoning, show and explain that the sum or product of rational numbers is rational, the sum of a rational number and an irrational number is irrational, and the product of a nonzero rational number and an irrational number is irrational.

Algebra I (EOC) · Numerical Reasoning
Investigate rational and irrational numbers and rewrite expressions involving square roots and cube roots.
about 10% of the test · 6 points

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

Beginning: Identify the sum of rational and irrational numbers as rational or irrational.
Developing: Rewrite a numeric expression involving radicals. Identify the product of rational and irrational numbers as rational or irrational.
Proficient: Rewrite an algebraic expression involving radicals. Explain why the sum or product of two numbers is rational or irrational.
Distinguished: Solve real-life problems explaining why a sum or product of two numbers is rational or irrational.