AP Calculus AB

AP Calculus AB is the gateway to the beautiful world of higher mathematics. Students begin by exploring function behavior through the concept of limits, then master the rate of change using derivatives. Beyond the rules of differentiation, we apply these tools to real-world scenarios like related rates and optimization. As we transition to integration, students learn to calculate the area under a curve via Riemann sums and connect these ideas through the Fundamental Theorem of Calculus. The course concludes with advanced integration techniques, differential equations, and applications such as finding volumes of solids using cross-sections, disks, and washers.

How I help students master the above concepts:

• Connecting derivatives to slope of tangent line as instataneous rate of change and its relation to average rate of change
• Bridging the thought process between  anti derivative and integral  focusing on how net change and rate of change are inverse operations
• Being able to use the right terminology with respect to AP FRQs
• Understand the related rate problems to be able to setup rate of change with deriviatives of different quantities
• Understand accumulation function and meaning of average value in functions
• Visually learn area and volume between curves