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Mathematics: Applied Maths (Elective)

“God uses mathematics in everything He makes. He makes things in multiples of sevens, elevens, and forties. Everything that God does, He does according to mathematics: the writing of His Bible, the making of Arcturus and establishing the circuit of the earth. He imparts some of that wonderful knowledge to us that we may know something about His grace and love for us is this respect.” Asa Sparks

Overview

This unit explores the mathematics behind creative problem solving. Students will experience some 'Eureka moments' by untangling some challenging problems with a mathematical approach. Have you ever wondered what Game Theory is? In this unit, we will be solving an assortment of problems and using strategies to maximise success in different games. The background mathematical ideas behind this will include using current skills and being introduced to learning some mathematical concepts which are above Year 9 standard. We will provide the opportunity for students in this elective to compete against other schools in maths games days and other creative problem solving competitions.

Aims

This study is designed to enable students to:

  • Be extended in their problem solving strategies
  • Learn new and different approaches to solving problems
  • Develop critical and creative thinking skills
  • Applying mathematical concepts to real-world problems
  • Develop imaginative and alternative solution processes

Topics Include

  • Solving classical problems
  • Investigating modern problems
  • Strategies and Game Theory of board games and puzzles
  • Exploring unsolved problems

Topics Include

  • Algebra and Geometry
  • Functions
  • Graphing
  • Number skills
  • Patterns and Sequences
  • Probability

Time Allocation

  • 5 periods per cycle (offered in both Semesters)

Prerequisites

  • Enjoyment of Mathematics and solving puzzles

Requirements

  • Levy Cost

Assessment

  • Class work – submission of solutions to a booklet of problems
  • Logbook of progression in solving puzzles and problems

“He determines the number of the stars and calls them each by name” Psalm 147:4