bi_Calcul infinitésimal_12e_Le calcul intégral permet de définir rigoureusement un produit faisant intervenir une quantité en variation constante sur un intervalle donné.

Submitted by curriculum_webadmin on
Subject
Calculus
Grade
12 année
Big Idea
Integral calculus develops the concept of determining a product involving a continuously changing quantity over an interval.
Elaboration
  • area (height x width) under a curve where the height of the region is changing; volume of a solid (area x length) where cross-sectional area is changing; work (force x distance) where force is changing
  • Finding these products requires finding an infinite sum.
  • Sample questions to support inquiry with students:
    • What is the value of using rectangles to approximate the area under a curve?
    • Why is the fundamental theorem of calculus so fundamental?
keywords
continuously changing