Linear Functions

Graphs

Tables

Equations

Context

Students will be able to:

·         Determine if a graph is linear or non-linear.

·         Determine increasing and decreasing intervals on a graph of a function.

·         Classify a graph’s rate of change as constant or not constant.

·         Identify the rate of change from a graph with a constant rate, including horizontal lines’ rate of change.

·         Compare and contrast graphs using the following descriptors: increasing, decreasing, and rate of change.

Students will be able to:

·         Determine whether a table of values has a constant or not constant rate of change.

·         Identify the rate of change from a table if it is constant.

·         Determine if a table is increasing or decreasing, both, or neither.

·         Determine if a table is linear or non-linear.

·         Compare and contrast tables using the following descriptors: increasing, decreasing, and rate of change.

Students will be able to:

·         Identify linear equations as having 1 as the highest exponent, and having no absolute value symbols, square roots, or variables in the denominator

·         Identify the rate of change from slope-intercept form.

·         Determine if a linear function is increasing or decreasing from slope-intercept form.

Students will be able to:

·         Determine if a contextual situation is linear or non-linear.

·         Justify linear relationships by making valid predictions.

·         Organize data into a table in order to find the rate of change to determine if it is constant or not.

·         Make a table of values for a context that is increasing or decreasing by a percent.