Compound Interest and Continuous Compounding
Students will calculate compound interest and understand the concept of continuous compounding using the formula A=Pe^rt.
Key Questions
- Explain how the frequency of compounding affects the total amount of interest earned.
- Compare discrete compounding to continuous compounding and their respective formulas.
- Justify the use of the natural exponential function for continuous growth models.
Common Core State Standards
Suggested Methodologies
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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.
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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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