Graphing Linear Inequalities in Two Variables
Students will graph linear inequalities in two variables and identify the solution region.
Key Questions
- Justify the use of a dashed versus solid line when graphing linear inequalities.
- Explain the process of 'test points' to determine the correct shaded region.
- Predict how changing the inequality symbol affects the shaded region of the graph.
Ontario Curriculum Expectations
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Linear Systems and Modeling
Graphing Linear Equations
Students will review how to graph linear equations using slope-intercept form, standard form, and intercepts.
2 methodologies
Introduction to Systems of Linear Equations
Students will define a system of linear equations and understand what a solution represents graphically and algebraically.
2 methodologies
Solving Systems by Graphing
Students will solve systems of linear equations by graphing both lines and identifying their intersection point.
2 methodologies
Solving Systems by Substitution
Students will solve systems of linear equations by substituting one equation into the other.
2 methodologies
Solving Systems by Elimination
Students will solve systems of linear equations by adding or subtracting equations to eliminate a variable.
2 methodologies