Limits and Continuity
Investigating the behavior of functions as they approach specific values or infinity.
About This Topic
Investigating the behavior of functions as they approach specific values or infinity.
Key Questions
- Explain what it means for a function to approach a limit without actually reaching it.
- Analyze how the concept of a limit can be used to define the gradient of a curve at a single point.
- Justify why continuity is a prerequisite for differentiability in theoretical mathematics.
Active Learning Ideas
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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.
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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