The Natural Base 'e' and Continuous Growth
Students explore the significance of the natural base 'e' in continuous compounding and natural growth/decay processes.
Key Questions
- Justify why the constant 'e' appears so frequently in natural growth processes.
- Analyze the difference between discrete and continuous compounding interest.
- Predict the future value of an investment using the continuous compounding formula.
Ontario Curriculum Expectations
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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