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Education, Citizenship and Youth
Grade 12 Applied Mathematics (40S) Outcomes by Unit
Unit A: Matrix Modelling
Unit B: Vectors
Unit C: Personal Finance
Unit D: Probability
Unit E: Variability and Statistical Analysis
Unit F: Design and Measurement
Unit G: Applications of Periodic Functions
Unit H: Sequences
| Describe and apply operations on matrices to solve problems using technology as required |
| Model and solve problems, including those solved previously, using technology to perform matrix operations of addition, subtraction, and scalar multiplication as required (A-1) |
| Model and solve consumer and network problems using technology to perform matrix multiplication as required (A-2) |
| Solve problems involving polygons and vectors including 2-D applications |
Use appropriate terminology to describe:
|
| Determine the magnitude and direction of a resultant vector, using triangle or parallelogram methods (B-2) |
| Model and solve problems in 2-D using vector diagrams and technology (B-3) |
| Design or use a spreadsheet to make and justify financial decisions |
| Design or use a financial template to allow users to input their own variables (C-1) |
| Analyze the costs and benefits of renting or buying an increasing asset (e.g., home) under different circumstances (C-2) |
| Analyze the costs and benefits of leasing or buying a decreasing asset (e.g., vehicle, computer) under different circumstances (C-3) |
| Analyze an investment portfolio applying such concepts as interest rate, rate of return and total return (C-4) |
| Solve problems based on the counting of sets, using techniques such as the fundamental counting principle, permutations and combinations |
| Solve pathway problems, interpreting and applying any constraints (D-1) |
| Use the fundamental counting principle to solve problems (D-2) |
| Model the probability of a compound event, and solve problems based on the combining of simpler probabilities |
| Construct and interpret a sample space for two or three events (D-3) |
| Solve problems using the probabilities of mutually exclusive and complementary events (D-4) |
| Classify events as independent or dependent and solve related probability problems (D-5) |
| Use normal and binomial probability distributions to solve problems involving uncertainty |
| Find the population standard deviation of a data set using technology (E-1) |
| Use z-scores and z-score tables to solve problems (E-2) |
| Use the normal distribution and the normal approximation to the binomial distribution to solve problems involving confidence intervals for large samples (E-3) |
| Analyze objects, shapes, and processes to solve cost and design problems |
| Use dimensions and unit prices to solve problems involving perimeter, area, and volume (F-1) |
| Solve problems involving estimation and costing for objects, shapes, or processes when a design is given (F-2) |
| Design an object, shape, layout, or process within a specified budget (F-3) |
| Use simplified models to estimate the solutions to complex measurement problems (F-4) |
| Generate and analyze cyclic, recursive, and fractal patterns |
| Describe periodic events, including those represented by sinusoidal curves, using the terms amplitude, period, maximum, and minimum values, vertical and horizontal shift (G-1) |
Collect sinusoidal data; graph the data using technology
and represent the data in the form: 
(G-2) |
| Use best fit sinusoidal equations, and their associated graphs, to make predictions (interpolations and extrapolations) (G-3) |
| Generate and analyze cyclic, recursive, and fractal pasterns |
| Use technology to generate and graph sequences that model real-life phenomena (H-1) |
| Use technology to construct a fractal pattern by repeatedly applying a procedure to a geometric figure (H-2) |
| Use the concept of self-similarity to compare and/or predict the perimeters, areas, and volumes of fractal patterns (H-3) |
