Unit1 C2 Using Differentiation

Student Activities:
  1. Kinematic Graphing 10 problems interpreting velocity/time graphs; remember that the gradient gives the rate of change (Glenbrook High School, Illinois)
  2. Increasing or Decreasing Functions Explore these dynamic graphs - which are increasing, decreasing or neither? (mathsnet)

 

Teaching Resources:
  1. Applications of differentiation Animation of a constrained rectangle. What is it's maximum area? Area graph is shown dynamicaly. Calculus analysis will "prove" the visual results (Maths Online, Vienna University)
  2. Derivatives of Cubic Functions A dynamic illustration of the quadratic gradient graph as the shape of the cubic graph changes (www.ies.co.jp)
  3. Cross Section of Gutter A dynamic calculation to find the maximum cross-sectional area. Now prove the result using calculus (www.ies.co.jp)
  4. Graph Centre Dynamic graphing tool with slider controls (mathsnet)
  5. Points of Inflection Dynamic graphs illustrate the idea of Maxima, Minima & Stationary Inflection Points (mathsnet)

 

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