In each unit, a healthy mix of instruction, interactive questioning, and practical application through problem solving should be expected. In general, the curriculum is taught in the order listed above, with key concepts from earlier units feeding into the later ones. The structure and organization of the AP Calculus AB course is variable and depends on instructor preference. The definite integral of a function has many interpretations and applications.The Fundamental Theorem of Calculus connects differentiation and integration.
The definite integral of a function over an interval can be calculated using a variety of strategies.Antidifferentiation is the inverse process of differentiation.Integrals and the Fundamental Theorem of Calculus The Mean Value Theorem connects the behavior of a differentiable function over an interval to a derivative at a point on that interval.The derivative of a function has many interpretations and applications.
Students learn to express and interpret limits symbolically.The concept of a limit can be used to describe the behavior of a function.The AP Calculus AB course is comprised of material covering 3 main concepts, each with their own set of learning objectives and essential knowledge:
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