A.FGR.2Linear Functions & Sequences

Expectations

• A.FGR.2.1

  Use mathematically applicable situations algebraically and graphically to build and interpret arithmetic sequences as functions whose domain is a subset of the integers.

• A.FGR.2.2

  Construct and interpret the graph of a linear function that models real-life phenomena and represent key characteristics of the graph using formal notation.

• A.FGR.2.3

  Relate the domain and range of a linear function to its graph and, where applicable, to the quantitative relationship it describes. Use formal interval and set notation to describe the domain and range of linear functions.

• A.FGR.2.4

  Use function notation to build and evaluate linear functions for inputs in their domains and interpret statements that use function notation in terms of a mathematical framework.

• A.FGR.2.5

  Analyze the difference between linear functions and nonlinear functions by informally analyzing the graphs of various parent functions (linear, quadratic, exponential, absolute value, square root, and cube root parent curves).

Georgia Milestones coverage

• Algebra I (EOC) · Functional & Graphical Reasoning

  Construct and interpret arithmetic sequences as functions, algebraically and graphically, to model and explain real-life phenomena. Use formal notation to represent linear functions and the key characteristics of graphs of linear functions, and informally compare linear and non-linear functions using parent graphs.

  about 12% of the test · 7 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 a term in an arithmetic sequence. Identify the graph of a linear function. Given the graph of a linear function, identify the domain and range. Given an equation in function notation, evaluate the function for a specified input. Identify a function as linear or non-linear.

Developing

Identify a rule to describe an arithmetic sequence. Identify and interpret key characteristics of linear functions. Describe the domain and range of a linear function by using formal notation. Given a verbal description, create and evaluate an equation by using function notation. Compare a linear function to the parent linear function f(x) = x.

Proficient

Solve real-life problems involving arithmetic sequences graphically and algebraically. Analyze the key features of linear functions to interpret real-life phenomena. Identify and interpret the domain and range of a linear function in the context of a real-life problem. Interpret function notation in the context of a real-life problem. Compare a non-linear function to the appropriate parent function.

Distinguished

Solve real-life problems involving function notation, domain and range, and the comparison of functions.