A.PAR.8Exponential Expressions and Equations

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.