--- title: "AA.FGR.4: Radical Functions & Expressions (Georgia Mathematics standard)" code: AA.FGR.4 cite_as: Georgia Standards of Excellence, Mathematics, AA.FGR.4 subject: math grades: - high-school language: en canonical_url: https://georgiahomeroom.org/standards/code/AA.FGR.4 md_url: https://georgiahomeroom.org/standards/code/AA.FGR.4.md alternate_language_url: https://georgiahomeroom.org/es/standards/code/AA.FGR.4.md source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180 source_last_changed: 2024-10-09 data_built: 2026-09-18 publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district. up: https://georgiahomeroom.org/standards/math/high-school.md index: https://georgiahomeroom.org/standards/index.md --- # AA.FGR.4: Radical Functions & Expressions Explore and analyze structures and patterns for radical functions and use radical expressions, equations, and functions to model real-life phenomena. - Subject: Mathematics - Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md ## Expectations - **AA.FGR.4.1**: Rewrite radical expressions as expressions with rational exponents. Extend the properties of integer exponents to rational exponents. - **AA.FGR.4.2**: Solve radical equations in one variable, and give examples showing how extraneous solutions may arise. - **AA.FGR.4.3**: Analyze and graph radical functions. - **AA.FGR.4.4**: Create, interpret and solve radical equations with one unknown value and use them to solve problems that model real-world situations. - **AA.FGR.4.5**: Create, interpret, and solve radical equations in two or more variables to represent relationships between quantities. ## Georgia Milestones coverage No Georgia Milestones blueprint cites this standard. Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.