We're going to learn how to graphically find the solution to one-variable and two-variable inequalities. You will also review how to convert a linear equation from standard form to slope-intercept form.
TEKS Standards and Student Expectations
A(3) Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations. The student is expected to:
A(3)(D) graph the solution set of linear inequalities in two variables on the coordinate plane
Resource Objective(s)
The student will construct the graph of a one-variable or two-variable inequality and find its solution.
The student will also convert between standard form and slope-intercept form of a linear equation.
Essential Questions
If your inequality symbol is "less than" or "greater than," what type of boundary line should you graph?
If your inequality symbol is "less than or equal to" or "greater than or equal to," what type of boundary line should you graph?
If your inequality symbol is "less than" or "less than or equal to," where is your solution region?
If your inequality symbol is "greater than" or "greater than or equal to," where is your solution region?
How do you convert an equation from standard form to slope-intercept form?
Vocabulary
- Inequality
- Boundary Line
- Dashed/Dotted
- Solid
- Standard Form
- Slope-Intercept Form