Standard 13: Conceptual Underpinnings of Calculus

In grades 9-12, the mathematics curriculum should include the informal exploration of calculus concepts from both a graphical and a numerical perspective so that students can:

and so that, in addition, college-intending students can:

  • Understand the conceptual foundations of limit, the area under a curve, the rate of change, and the slope of a tangent line, and their applications in other disciplines
  • Analyze the graphs of polynomial, rational, radical, and transcendental functions