Modeling Exponential Growth and Decay
Applying exponential functions to real-world scenarios such as population growth, radioactive decay, and compound interest.
Key Questions
- How do exponential models differ from linear models in their long-term predictions?
- Why is the rate of change in an exponential function proportional to its current value?
- Evaluate the ethical implications of using exponential models to predict population growth or resource depletion.
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.
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.
More in Exponential Functions
Integer Exponents and Properties
Reviewing and mastering the laws of exponents for integer powers, including zero and negative exponents.
2 methodologies
Rational Exponents and Radicals
Extending the laws of exponents to rational powers and converting between radical and exponential forms.
2 methodologies
Graphing Exponential Functions
Graphing basic exponential functions (y=a*b^x) and identifying key features like intercepts, asymptotes, and growth/decay.
2 methodologies
Transformations of Exponential Functions
Applying transformations (translations, stretches, reflections) to exponential functions and writing their equations.
2 methodologies
Solving Exponential Equations
Solving exponential equations by equating bases and introducing the concept of logarithms.
2 methodologies