At the end of the lesson, students will
(a) use the self-inquiry approach to study the Pascal's Triangle and relate it with the coefficients of the binomial expansion of (x+y)n;
(b) expand (x+y)n, n=0,1,2,3 using their lower Sec prior knowledge, then derive the formula for the (n+1) th term through observation;
(c) derive the formula for nCr using the counting principle;
(d) apply the binomial terms to the probability of flipping a coin with n trials (optional depending on the class).
1. The Pascal's Triangle
Complete the attached worksheet on Binomial expansion. We will derive the formulae for both and (r+1)th term through a self-exploratory, self-inquiry approach!
2. Application of the Binomial Expansion