Average and Instantaneous Rates of Change
Students calculate and interpret average and instantaneous rates of change for various functions. They connect the instantaneous rate of change to the slope of a tangent line.
About This Topic
Students calculate and interpret average and instantaneous rates of change for various functions. They connect the instantaneous rate of change to the slope of a tangent line.
Key Questions
- What is the difference between average and instantaneous rate of change?
- How can we estimate the instantaneous rate of change using secant lines?
- What does the rate of change tell us about a real-world model?
Planning templates for Advanced 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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