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