Modelling with Sequences and Series
Apply knowledge of arithmetic and geometric sequences and series to solve contextual problems.
About This Topic
Apply knowledge of arithmetic and geometric sequences and series to solve contextual problems.
Key Questions
- How can sequences and series be used to model financial situations like loans and investments?
- What assumptions are made when modelling real world scenarios with geometric progressions?
- How do we evaluate the validity of a sequence model?
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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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Understand and use arithmetic progressions, including finding the nth term and the sum of the first n terms.
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Understand and use geometric progressions, including finding the nth term and the sum of the first n terms.
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Sum to Infinity of a Geometric Series
Explore the conditions under which a geometric series converges and calculate its sum to infinity.
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Sigma Notation
Use sigma notation to represent sums of series and evaluate them.
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Recurrence Relations
Understand and use recurrence relations to generate sequences and explore their long term behaviour.
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