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VCE Common General Mathematics (Unit 1/2)
VCE General Mathematics (Unit 1/2)
General Mathematics (Unit 1/2)
1. Linear equations and algebra  Creating equations and substituting
1. Linear equations and algebra  Rearraning equations
1. Linear equations and algebra  Simultaneous equations
10. Inequalities and linear programming  Feasible regions and objective functions
10. Inequalities and linear programming  Graphing linear inequalities
11. Variation  Direct, inverse and joint variation
11. Variation  Modelling and transforming data
12. Data distributions  Choosing the appropriate data display
12. Data distributions  Histograms
12. Data distributions  Median, mean, mode, range, IQR, standard deviation
12. Data distributions  Outliers and upper and lower fences
12. Data distributions  Skew
13. Two numerical variables  Finding and using a least squares regression line
13. Two numerical variables  Interpreting slope and intercept
13. Two numerical variables  Mixed skills
13. Two numerical variables  Pearson's correlation coefficient, correlation and causation
13. Two numerical variables  Response and explanatory variables
2. Computation and practical arithmetic  Logarithms and orders of magnitude
2. Computation and practical arithmetic  Operations
2. Computation and practical arithmetic  Percentages and percentage change
2. Computation and practical arithmetic  Ratios
2. Computation and practical arithmetic  Scientific notation and significant figures
3. Financial arithmetic  Compound interest
3. Financial arithmetic  Effective interest rates
3. Financial arithmetic  Loans involving regular payments
3. Financial arithmetic  Percentage increase and decrease (incl inflation and GST)
3. Financial arithmetic  Purchase options (cash, credit and time payments)
3. Financial arithmetic  Simple interest
4. Matrices  Inverse matrices and solving matrix equations
4. Matrices  Operations with matrices
4. Matrices  Order, elements and equivalent matrices
4. Matrices  Types of matrices
5. Graphs and networks  Connected and isomorphic graphs and adjacency matrices
5. Graphs and networks  Edges, vertices, degree, faces and Euler's formula
5. Graphs and networks  Shortest path
5. Graphs and networks  Trees and minimum spanning trees
5. Graphs and networks  Walks, trails, paths, cycles and circuits
6. Number patterns and recursion  Recurrence relations
6. Number patterns and recursion  Recursion for financial maths
6. Number patterns and recursion  Rule for the nth term
7. Shape and measurement  Perimeter and area
7. Shape and measurement  Pythagoras' theorem
7. Shape and measurement  Similarity
7. Shape and measurement  Surface area and volume
8. Applications of trigonometry  Angles of elevation and depression and bearings
8. Applications of trigonometry  Area of a triangle
8. Applications of trigonometry  Finding unknown sides or angles
8. Applications of trigonometry  Mixed skills
8. Applications of trigonometry  Sine and cosine rules
9. Linear graphs and models  Finding and using a linear equation
9. Linear graphs and models  Gradient
9. Linear graphs and models  Sketching linear graphs
9. Linear graphs and models  Sketching linear graphs