Solving Rational Equations and Inequalities
Students solve rational equations and inequalities using algebraic techniques and graphical analysis. They explore real-world applications involving rational models.
About This Topic
Students solve rational equations and inequalities using algebraic techniques and graphical analysis. They explore real-world applications involving rational models.
Key Questions
- How do we algebraically solve an inequality involving a rational expression?
- Why is it important to check for extraneous roots in rational equations?
- How can rational functions model real-world scenarios like average cost?
Active Learning Ideas
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Planning templates for Advanced Functions
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.
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