Graphing Inequalities
Free to teach as-is — the teacher guide, student handout, and slides are included.
Free — we'll email you an access link. Google Docs format.
Objective
I can graph two-variable inequalities on a coordinate plane and identify the solution set.
Part 1 of 4
Warm-up video
Khan Academy · 8:04Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
To graph the inequality y ≤ 4x + 3, first graph the line y = 4x + 3, noting the y-intercept is 3 and the slope is 4, then shade the area below the line.
- 2
When graphing y > –x/2 – 6, graph the line y = –x/2 – 6 as a dashed line to show that the line itself is not included in the solution.
- 3
The solution set of an inequality includes all the points on the coordinate plane that satisfy the inequality, which can be a region above or below a line.
Part 3 of 4
Practice
8 questions
What does the dashed line in the graph of an inequality represent?
Which inequality symbol requires a solid line when graphing on a coordinate plane?
Part 4 of 4
Exit ticket
Quick comprehension check
“Graph the inequality y > 2x - 1 on a coordinate plane. Indicate whether the line should be solid or dashed, and shade the appropriate region.”
Sample answer included in the free materials
Get the materials
Teacher guide, student handout, and slides — free, in Google Docs format
Teacher Guide
Complete lesson plan with answer keys and alternate activities
Student Handout
Printable worksheet
Slides
Ready to present
We'll ask for your email to send your access link — nothing else.
Teaching a group at a different level?
Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.
Adapt This Lesson
