APPLICATIONS OF INTEGRATION IT LESSON 1 - AREA UNDER A CURVE
(SEC 4 ADDITIONAL MATHS)

Software: LiveMath (previously known as MathView)
Thinking Skills: Induction and Deduction
At the end of the lesson, the students should be able to:
(1) find an approximation for the area under a curve using 3 numerical methods,
(2) calculate the exact area under a curve using calculus.

The LiveMath documents are too big to activate quickly, so they are separated into different files. Click on the first section to continue.

A.  Speed-Time Graph
B.  Lower Riemann Sum
C.  Upper Riemann Sum
D.  Trapezoid Method
E.  Which Numerical Method?
F.  Calculus Method
G.  Proof of Calculus Method (best taught by Teacher)
H.  Who was Riemann? (Enrichment)