A.PAR.6Quadratic Expressions and Equations

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.