Ellipses
Explore the geometric definition of an ellipse. Write equations for ellipses and graph them, identifying foci, vertices, and axes.
About This Topic
Explore the geometric definition of an ellipse. Write equations for ellipses and graph them, identifying foci, vertices, and axes.
Key Questions
- What is the relationship between the foci and the constant sum of distances in an ellipse?
- How does eccentricity describe the shape of an ellipse?
- How do we graph an ellipse from its general equation?
Active Learning Ideas
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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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