Quadratic Inequalities
Solving quadratic inequalities algebraically and graphically, expressing solutions using interval notation.
Key Questions
- Explain the process of determining the solution regions for a quadratic inequality.
- Compare the graphical interpretation of a quadratic equation solution versus a quadratic inequality solution.
- Design a real-world problem that can be modeled and solved using a quadratic inequality.
Ontario Curriculum Expectations
Suggested Methodologies
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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.
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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.
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More in Quadratic Functions and Equations
Review of Quadratic Forms and Graphing
Reviewing standard, vertex, and factored forms of quadratic functions and their graphical properties (vertex, axis of symmetry, intercepts).
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Solving Quadratics by Factoring and Square Roots
Mastering solving quadratic equations using factoring and the square root property.
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Completing the Square
Using the method of completing the square to solve quadratic equations and convert standard form to vertex form.
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The Quadratic Formula and Discriminant
Applying the quadratic formula to solve equations and using the discriminant to determine the nature of roots.
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Complex Numbers
Introducing imaginary numbers, complex numbers, and performing basic operations (addition, subtraction, multiplication) with them.
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