Geometric Sequences
Discover sequences where each term is found by multiplying the previous term by a constant ratio. Master writing formulas and applying them to real-world growth and decay models.
About This Topic
Discover sequences where each term is found by multiplying the previous term by a constant ratio. Master writing formulas and applying them to real-world growth and decay models.
Key Questions
- Compare the long-term behavior of a geometric sequence when the common ratio is between 0 and 1 versus when it is greater than 1.
- Explain the relationship between a geometric sequence and an exponential function.
- Justify how to find the common ratio of a geometric sequence given any two terms.
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Planning templates for Algebra II
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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