This unit aims to develop the mathematical knowledge and skills required to apply mathematics in real-life situations. The student should be given the opportunity to engage in problem solving by: (i) exploring different approaches to solve a given problem; (ii) using appropriate strategies and language to arrive to a solution; and (iii) checking the validity and accuracy of the solution. The interconnectivity between different areas of mathematics should be pointed out to the student, even though some areas might require different techniques and tools (including ICT tools). The use of (scientific) calculators and ICT can be integrated in the delivery of the topics listed hereunder. The student should also be helped to develop and appreciate mathematical reasoning and deductive skills by being exposed to short proofs.
By the end of this unit, the student should demonstrate readiness and competency to independently apply mathematical techniques in solving problems and be able to communicate findings using appropriate mathematical vocabulary and rigor. These problems will involve:
- numerical calculations,
- algebraic manipulation,
- geometrical properties,
- basic statistical analysis, and
- probabilistic techniques.