Exponential Functions: Growth and Decay
Students will understand the characteristics of exponential growth and decay, and their real-world applications.
About This Topic
Students will understand the characteristics of exponential growth and decay, and their real-world applications.
Key Questions
- Explain how the base of an exponential function determines the rate of change in a system.
- Compare and contrast exponential growth and decay models using graphical representations.
- Predict the long-term behavior of a population or investment using an exponential model.
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
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 Functions and Graphs
Introduction to Functions and Relations
Students will differentiate between relations and functions, identifying domain and range from various representations.
8 methodologies
Linear Functions and Their Graphs
Students will review linear functions, their equations, and graphical properties, including gradient and intercepts.
8 methodologies
Quadratic Functions and Parabolas
Students will explore quadratic functions, their graphs (parabolas), and key features like vertex and axis of symmetry.
8 methodologies
Graphs of Reciprocal Functions
Students will explore the graphs of simple reciprocal functions (e.g., y = k/x) and identify their key features, including asymptotes.
8 methodologies
Graphical Solution of Equations
Students will use intersection points of multiple graphs to solve complex equations that are difficult to handle algebraically.
8 methodologies
Transformations of Functions
Students will analyze how translations, reflections, and stretches affect the graphs of various functions.
8 methodologies