Permutations and Combinations
Students explore the fundamental counting principle, permutations, and combinations. They apply these concepts to solve practical counting problems involving arrangements and selections.
About This Topic
Students explore the fundamental counting principle, permutations, and combinations. They apply these concepts to solve practical counting problems involving arrangements and selections.
Key Questions
- How do permutations differ from combinations?
- When is the multiplication principle applied?
- How can factorials simplify counting problems?
Active Learning Ideas
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Planning templates for Specialist 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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