12.A Students identify the types and functions of insurance, the preparation of a personal financial plan, the types of taxes imposed by different levels of government, and the costs associated with foreign purchasing and currency exchange.
12.A1 model and solve problems, including those solved previously, using technology to perform matrix operations, including
12.A1.3 scalar multiplication
12.A2 model and solve consumer and network problems using technology to perform matrix multiplication as required
12.A3 design a financial spreadsheet template to allow users to input their own variables
12.A4 analyse the costs and benefits of renting or buying an increasing asset, such as land or property, under various circumstances
12.A5 analyse the costs and benefits of leasing or buying a decreasing asset, such as a vehicle or computer, under various circumstances
12.A6 analyse an investment portfolio applying such concepts as interest rate, rate of return, and total return
12.B Students use patterns to describe the world and to solve problems.
12.B1 describe sinusoidal curves using terms, including
12.B1.3 maximum and minimum values
12.B1.4 vertical and horizontal shift
12.B2 graph sinusoidal data using technology, and represent the data with a best fit equation of the form y = a sin (bx + c) + d
12.B3 use best fit sinusoidal equations, and their associated graphs, to make predictions (interpolation, extrapolation)
12.C Students describe and compare everyday phenomena, using either direct or indirect measurement, describe the characteristics of 3-D objects and 2-D shapes, and analyse the relationships among them.
12.C1 use dimensions and unit prices to solve problems involving perimeter, area, and volume
12.C2 solve problems involving estimation and costing for objects, shapes, or processes when a design is given
12.C3 design an object, shape, layout, or process within a specified budget
12.C4 use simplified models to estimate the solutions to complex measurement problems
12.C5 use appropriate terminology to describe
12.C5.1 vectors (i.e., direction, magnitude)
12.C5.2 scalar quantities (i.e., magnitude)
12.C6 assign meaning to the multiplication of a vector by a scalar
12.C7 determine the magnitude and direction of a resultant vector, using triangle or parallelogram methods
12.C8 model and solve problems in 2-D and 3-D (with 3-D vectors restricted to those that are mutually orthogonal), using vector diagrams and technology
12.D Students use experimental and theoretical probability to represent and solve problems involving uncertainty.
12.D1 classify events as independent or dependent
12.D2 use the fundamental counting principle to determine the number of different ways to perform multi-step operations
12.D3 construct a sample space for two or three events
12.D4 solve problems, using the probabilities of mutually exclusive and complementary events