3a/3b - Churchlands Senior High School

MATHEMATICS 3C/3D MAS(Must be studied in conjunction with 3C/D MAT)PRE-REQUISITES3A/B MAT & MAS Units and B GradesUNIT 3CMATIn this unit, students develop their knowledge of calculus concepts and their algebraic, graphing andcalculus skills, and apply these in mathematical modelling. They use counting techniques andprobability laws, and calculate and interpret probabilities for the binomial, uniform and normal randomvariables. They use mental and written methods and technologies where appropriate.1. Number and algebraEstimation and calculationFunctions and graphsEquations and inequalities2. Space and measurementRateMeasurementChance and dataQuantify chanceUNIT 3DMATUnit descriptionIn this unit, students extend and apply their understanding of differential and integral calculus. Theysolve systems of equations in three variables and linear programming problems. They verify anddevelop deductive proofs in algebra and geometry. Students model data with probability functions andanalyse data from samples. They justify decisions and critically assess claims about data. They usemental and written methods and technologies where appropriate.1. Number and algebraEquations and inequalitiesCalculus2. Space and measurementRateMeasurementReason geometrically3. Chance and dataQuantify chanceInterpret chanceRepresent dataInterpret dataUNIT 3CMASThe focus for this unit is on the abstract development of a range of sophisticated relationships. Spatialcontexts are extended from two dimensions to three. This unit develops abstraction as an increasinglypowerful way of expressing and analysing change. It introduces exhaustion and contradiction asmethods of proof to be explored.VectorsThe geometry of three-dimensional space is conceptually more difficult than the geometry of the plane.However, the transition from two to three dimensions is facilitated by the vector approach.2. TrigonometryFinding derivatives and integrals of elementary functions, which partly commenced in units 3BMAT and44