Day 26 of 30
Graphing systems of inequalities
Content is AI-assisted and continuously improved through educator review
Learning Objective
Students will graph systems of inequalities through guided practice and application.
In this lesson, we'll explore graphing systems of inequalities. Mathematical thinking develops logical reasoning and problem-solving abilities.
A coordinate graph (or coordinate plane) lets us show the location of points using two numbers. The horizontal line is the x-axis, and the vertical line is the y-axis. Every point has coordinates (x, y) that tell how far to move right/left and up/down from the center (origin). For example, the point (3, 2) means move 3 units right and 2 units up. Graphs help us visualize patterns and relationships!
As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.
Take notes on key points and make connections to what you've already learned in previous lessons.
A mathematical question requiring analysis and solution
The result obtained by solving a problem
Instructions
Materials Needed
- Notebook
- Calculator (if needed)
- Graph paper
Plot the point (3, 2) on a coordinate plane.
What is the x-coordinate of the point (5, -2)?
In which quadrant is the point (-3, 4)?
Teaching Tip
For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply graphing systems of inequalities to novel situations.