Modeling with Exponential and Logarithmic Functions
Students use exponential and logarithmic functions to model real-world phenomena such as population growth, radioactive decay, and compound interest. They solve applied equations using technology.
About This Topic
Students use exponential and logarithmic functions to model real-world phenomena such as population growth, radioactive decay, and compound interest. They solve applied equations using technology.
Key Questions
- How can we model population growth or decay mathematically?
- What is the significance of the natural base 'e' in continuous growth?
- How do we solve for time in an exponential model?
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.
More in Exponential and Logarithmic Functions
Properties of Exponents and Logarithms
Students discover the relationship between exponential and logarithmic functions as inverses. They apply properties of logarithms to expand and condense expressions.
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Graphing Exponential and Logarithmic Functions
Students graph exponential and logarithmic functions, identifying key features like asymptotes, intercepts, and end behavior. They explore transformations of these parent functions.
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