---
title: "A.PAR.6: Quadratic Expressions and Equations (Georgia Mathematics standard)"
code: A.PAR.6
cite_as: Georgia Standards of Excellence, Mathematics, A.PAR.6
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/A.PAR.6
md_url: https://georgiahomeroom.org/standards/code/A.PAR.6.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/A.PAR.6.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.6: Quadratic Expressions and Equations

Build quadratic expressions and equations to represent and model real-life phenomena; solve quadratic equations in mathematically applicable situations.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- **A.PAR.6.1**: Interpret quadratic expressions and parts of a quadratic expression that represent a quantity in terms of its context.
- **A.PAR.6.2**: Fluently choose and produce an equivalent form of a quadratic expression to reveal and explain properties of the quantity represented by the expression.
- **A.PAR.6.3**: Create and solve quadratic equations in one variable and explain the solution in the framework of applicable phenomena.
- **A.PAR.6.4**: Represent constraints by quadratic equations and interpret data points as possible or not possible in a modeling framework.

## Georgia Milestones coverage

- Algebra I (EOC). Patterning & Algebraic Reasoning. Build quadratic expressions and equations to represent and model real-life phenomena; solve quadratic 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 the terms, factors, leading coefficients, coefficients, and/or constants in a quadratic expression. Find the equivalent form of a quadratic expression or the solution to a quadratic equation. Solve quadratic equations of the form x² = p. Identify whether a data point is a solution for a quadratic equation in two variables.
- **Developing**: Identify key features of a quadratic expression given in standard, vertex, or factored form. Solve a quadratic equation in one variable by inspection or by factoring with a leading coefficient of a = 1.
- **Proficient**: Interpret parts of a quadratic expression in terms of a real-life situation. Explain key features of a quadratic expression by converting between standard, vertex, and factored forms. Create and solve a quadratic equation in one variable by factoring with a leading coefficient of a ≠ 1, completing the square, or applying the quadratic formula. Solve real-life problems by identifying a solution to a quadratic equation in two variables that fits in the framework.
- **Distinguished**: Solve real-life problems involving quadratic equations in either one or two variables, converting between forms of equations and describing the solution in the framework of the situation.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.