--- title: "A.PAR.8: Exponential Expressions and Equations (Georgia Mathematics standard)" code: A.PAR.8 cite_as: Georgia Standards of Excellence, Mathematics, A.PAR.8 subject: math grades: - high-school language: en canonical_url: https://georgiahomeroom.org/standards/code/A.PAR.8 md_url: https://georgiahomeroom.org/standards/code/A.PAR.8.md alternate_language_url: https://georgiahomeroom.org/es/standards/code/A.PAR.8.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 --- # A.PAR.8: Exponential Expressions and Equations Create and analyze exponential expressions and equations to represent and model real-life phenomena; solve exponential equations in mathematically applicable situations. - Subject: Mathematics - Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md ## Expectations - **A.PAR.8.1**: Interpret exponential expressions and parts of an exponential expression that represent a quantity in terms of its framework. - **A.PAR.8.2**: Create exponential equations in one variable and use them to solve problems, including mathematically applicable situations. - **A.PAR.8.3**: Create exponential equations in two variables to represent relationships between quantities, including in mathematically applicable situations; graph equations on coordinate axes with labels and scales. - **A.PAR.8.4**: Represent constraints by exponential equations and interpret data points as possible or not possible in a modeling environment. ## Georgia Milestones coverage - Algebra I (EOC). Patterning & Algebraic Reasoning. Create and analyze exponential expressions and equations to represent and model real-life phenomena; solve exponential equations in mathematically applicable situations. (about 10% of the test; 6 points) ## What mastery looks like Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level. - **Beginning**: Identify terms, factors, leading coefficients, coefficients, and constants in exponential expressions. Find the value of an exponential equation in one variable for an integer value of the variable. Recognize mathematically applicable situations that are represented by exponential functions, and identify the labels for the axes of a graph of an exponential function. Identify whether a point is a solution for an exponential equation in two variables. - **Developing**: Find the equivalent form of an exponential expression. Identify the graph of an exponential function. - **Proficient**: Interpret parts of an exponential expression in terms of a mathematically applicable situation. Create a single-variable exponential equation from inspection, graphing, or a table of values. Create an exponential function that models a real-life situation. Solve a real-life problem by identifying a solution to an exponential equation in two variables that fits in the mathematically applicable situation. - **Distinguished**: Solve real-life problems involving exponential equations, and describe the solutions in terms of the situations. Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.