Characteristics of Rational Functions
Students investigate rational functions, focusing on asymptotes, domain restrictions, and intercepts. They learn to sketch graphs of rational functions by analyzing their algebraic structure.
About This Topic
Students investigate rational functions, focusing on asymptotes, domain restrictions, and intercepts. They learn to sketch graphs of rational functions by analyzing their algebraic structure.
Key Questions
- What causes a vertical asymptote versus a hole in a rational function?
- How do we determine the horizontal or oblique asymptote of a rational function?
- How does the domain of a rational function affect its graph?
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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