Content
Content
This lesson aims to conceptually introduce tangents and secant, while also explaining the concept of an average gradient. By mastering the content in this session, you will:
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Syllabus Mapping
C1.1: Gradients of tangents
Describe the gradient of a secant drawn through two nearby points on the graph of a continuous function as an approximation of the gradient of the tangent to the graph at those points, which improves in accuracy as the distance between the two points decreases
C1.2: Difference quotients
Describe the behavior of a function and its tangent at a point, using language including increasing, decreasing, constant, stationary, increasing at an increasing rate
Interpret the meaning of the gradient of a function in a variety of contexts, for example on distance–time or velocity–time graphs
Student Progress
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