Review of Exponential Functions
Students review the properties of exponential functions and their graphs, focusing on growth and decay.
Key Questions
- Compare the characteristics of exponential growth and exponential decay functions.
- Analyze how changes in the base affect the steepness and direction of an exponential graph.
- Construct an exponential function that models a given real-world growth or decay scenario.
ACARA Content Descriptions
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
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 and Logarithmic Functions
Techniques of Integration: Substitution
Students learn and apply the method of u-substitution to integrate more complex functions.
2 methodologies
Applications of Integration: Area Between Curves
Students calculate the area enclosed by two or more functions using definite integrals.
2 methodologies
Applications of Integration: Volumes of Revolution
Students use the disk and washer methods to find the volume of solids generated by revolving a region around an axis.
2 methodologies
Differential Equations: Introduction
Students are introduced to basic differential equations and methods for solving separable equations.
2 methodologies
The Natural Base e
Students understand the unique properties of the number e and its role in continuous growth models.
2 methodologies