Set Theory and Functions
A deep dive into set operations, cardinality, injectivity, surjectivity, and bijective functions.
About This Topic
A deep dive into set operations, cardinality, injectivity, surjectivity, and bijective functions.
Key Questions
- How do we formally prove that two sets are equal?
- What are the necessary and sufficient conditions for a function to be invertible?
- How do we compare the sizes of different infinite sets?
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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