Specific Expectations
By the end of the course, students will…
- describe examples of real-world applications of rates of change, represented in a variety of ways (e.g., in words, numerically, graphically, algebraically)
- describe connections between the average rate of change of a function that is smooth (i.e., continuous with no corners) over an interval and the slope of the corresponding secant, and between the instantaneous rate of change of a smooth function at a point and the slope of the tangent at that point
Learning Goals
By the end of the lesson, students will…
- Calculate average and instantaneous rates of change
- Compare secants and tangents
Success Criteria
I can…
- Find the average and instantaneous rate of change algebraically or graphically
- Calculate the slope of a secant or tangent line
To check your understanding of the lesson, try the following practice questions.
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