Grade 12 Math Topics – Discrete Random Variables, Financial Math, Optimization

MathematicsSequences & Financial MathAges 17–18

Three Grade 12 elective topics in one simulation, chosen with the topic parameter. Discrete random variable: toss n coins thousands of times and compare the experimental frequency bars with the theoretical probability distribution, computing the expected value and variance. Mathematics in finance: compare simple interest with compound interest A = P(1+r)^n and compute the monthly payment on an amortized loan. Optimization problem: drag the size of the squares cut from the four corners of a sheet of cardboard to fold an open-top box, watch the volume graph V(x) = x(a−2x)², and find the maximum using derivatives.