Number Patterns and Sequences
Students will identify and describe simple number patterns and sequences, finding the next few terms.
About This Topic
Students will identify and describe simple number patterns and sequences, finding the next few terms.
Key Questions
- How does defining a sequence explicitly by a closed-form formula for the nth term differ from a recursive definition, and what are the analytical trade-offs of each approach?
- Analyse the conditions under which an infinite geometric series converges to a finite sum, and explain what convergence implies about the behaviour of partial sums as n approaches infinity.
- Evaluate how sigma notation enables precise manipulation of series, including index shifting, splitting, and telescoping, and apply these techniques to evaluate a non-standard sum.
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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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