Polynomial and Rational Functions
Students investigate the roots, asymptotes, and graphical behavior of polynomial and rational functions. They apply the Fundamental Theorem of Algebra to find all complex zeros.
About This Topic
Students investigate the roots, asymptotes, and graphical behavior of polynomial and rational functions. They apply the Fundamental Theorem of Algebra to find all complex zeros.
Key Questions
- How do asymptotes affect the graph of a rational function?
- What is the relationship between the degree of a polynomial and its roots?
- How can we use synthetic division to find zeros?
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Planning templates for Pre-Calculus
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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