Year12-MATH-Type&Scope クイーンズランド州の12年生が学ぶ数学の内容
Year12-MATH-1-1-Textbook 学習ガイド
>> Subject 1: Essential Mathematics (Applied Subject)
Unit 3: Measurement, Scales, and Data
- Measurement: Calculating area, surface area, and volume for complex shapes (e.g., swimming pools, composite land plots).
- Scales, Plans, and Models: Reading floor plans, maps, and using scale factors (1:100, etc.) to calculate actual distances.
- Summarising/Comparing Data: Using statistics (mean, median, mode, range) and box plots to compare two sets of information (e.g., comparing the fuel efficiency of two car models).
Unit 4: Graphs, Chance, and Loans
This unit is heavily focused on personal finance and predicting outcomes.
Graphs and Networks
- Fundamentals: Definitions of vertices, edges, directed graphs (digraphs), and subgraphs.
- Matrix Representation: Creating and using adjacency matrices.
- Graph Types: Planar graphs and Euler’s formula ().
- Paths and Circuits: Exploring walks, trails, paths, Eulerian graphs, and Hamiltonian graphs.
>> Subject 2: General Mathematics (General Subject)
Unit 3: Measurement, Scales, and Data
Year12 MATH 2-3-2 学習ガイド
Bivariate Graphs: Understanding relationships between two variables (e.g., “Does study time correlate with higher grades?”). You’ll look at scatterplots and lines of best fit.
Unit 4: Graphs, Chance, and Loans
- Probability: Calculating the “relative frequency” of events (e.g., insurance risks or sports statistics).
Year12 MATH 2-4-2, 2-4-3, 2-4-4, 2-4-5
- Loans and Interest: Calculating simple and compound interest, understanding credit card debt, and managing personal loans.
>> Subject 3: Mathematical Methods (General Subject)
Unit 3: Logarithmic and exponential functions, further differentiation, and integral calculus.
Year12MATH 3-3-1 Logarithmic and exponential functions
Year12 MATH 3-3-2 further differentiation
Year12 MATH 3-3-3 integral calculus
Unit 4: Discrete and continuous random variables, binomial and normal distributions, and statistical inference (sample proportions).
Year12 MATH 3-4-1 Discrete and continuous random variables
Year12 MATH 3-4-2 binomial and normal distributions
Year12 MATH 3-4-3 statistical inference (sample proportions)
>> Subject 4: Specialist Mathematics (General Subject)
Unit 3: Mathematical induction, complex numbers, vectors in three dimensions, and matrices.
Year12 MATH 4-3-1 Mathematical Induction
Year12 MATH 4-3-2 complex numbers
Year12 MATH 4-3-3 vectors in three dimensions
Year12 MATH 4-3-4 matrices
Unit 4: Integration techniques, differential equations, modelling motion (kinematics/dynamics), and statistical inference (confidence intervals).
Year12 MATH 4-4-1 Integration techniques
Year12 MATH 4-4-2 differential equations
Year12 MATH 4-4-3 modelling motion (kinematics/dynamics)
Year12 MATH 4-4-4 statistical inference (confidence intervals)