Graphing Exponential Functions
This topic focuses on the properties and graphs of exponential functions. Students will explore asymptotes, domain, range, and the effects of transformations on exponential curves.
About This Topic
This topic focuses on the properties and graphs of exponential functions. Students will explore asymptotes, domain, range, and the effects of transformations on exponential curves.
Key Questions
- What are the key features of an exponential graph?
- How do transformations affect the horizontal asymptote?
- How does the base of an exponential function determine growth or decay?
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Planning templates for Functions
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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Rational Exponents
Students will extend their knowledge of exponent laws to include rational exponents. They will evaluate and simplify algebraic expressions involving fractional and negative powers.
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Applications of Exponential Functions
Students will solve real-world problems involving exponential growth and decay. Applications will include population growth, radioactive decay, and depreciation.
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