## MAT 050 unit plan: linear equations and inequalities

The purpose of this unit is for students to learn about linear relationships. Also, the purpose is to integrate many real world applications so that students will be able to apply this universal concept to their actual areas of interest and fields of study.

Demonstrate knowledge of and the ability to solve linear equations and inequalities.

a. Solve first degree equations including those involving fractions, decimals, ratio, proportion, and percent.

b. Check the solution of first degree equations.

c. Graph linear equations in two variables using the Cartesian coordinate system.

d. Determine the x- and y-intercepts of a linear equation.

e. Find the slope of a line given two points or the equation of the line.

f. Explain how slope relates to a rate of change in a problem.

g. Find and write the equation of a line in slope-intercept form.

h. Solve and graph applications using linear equations.

i. Solve first degree inequalities, including compound inequalities.

j. Graph solutions for first degree inequalities.

**Learning Objective and Topical Outline taken from a proposed draft of the course that CCCNS is currently reviewing/approving

Lesson Plan - Solving Linear Equations

Project - Application of Linear Equations

Lecture Notes - Graphing Linear Equations

__Learning Objective__Demonstrate knowledge of and the ability to solve linear equations and inequalities.

__Topical Outline__a. Solve first degree equations including those involving fractions, decimals, ratio, proportion, and percent.

b. Check the solution of first degree equations.

c. Graph linear equations in two variables using the Cartesian coordinate system.

d. Determine the x- and y-intercepts of a linear equation.

e. Find the slope of a line given two points or the equation of the line.

f. Explain how slope relates to a rate of change in a problem.

g. Find and write the equation of a line in slope-intercept form.

h. Solve and graph applications using linear equations.

i. Solve first degree inequalities, including compound inequalities.

j. Graph solutions for first degree inequalities.

**Learning Objective and Topical Outline taken from a proposed draft of the course that CCCNS is currently reviewing/approving

**Unit Resources**Lesson Plan - Solving Linear Equations

Project - Application of Linear Equations

Lecture Notes - Graphing Linear Equations