So, with the ever-strengthening cohort, I'm betting VCAA will delve deeper into the study design to help separate the best students from the rest. Throughout the year I've made a bit of a mental note of thinks to look out for so I thought it would be a good idea to make a collaborative list for the benefit of the AN Further Maths community. Please feel free to make suggestions and I will add them up.
Core: Data Analysis- General terminology and accurate descriptions
- Appropriate descriptions of univariate data
- Random population samples
- A possible negative Pearson's correlation co-efficient from a provided co-efficient of determination
- Residual plots
- Appropriate trend terminology in time series evaluations
- Seasonal time series data
Module 1: Number Patterns- Evaluating the common ratio and and common difference from an equation and difference equation
- Ratios
- Sum of a series method
Module 2: Geometry and Trigonometry- Ambiguous case of the sine rule
Module 3: Graphs and Relations- Non-linear graphs where c≠0
- Linear programming - blending/transportation problems
- Linear programming - maximum/minimum lies on a line segment
- Linear programming - non-integer solutions for discrete variables
- Sliding line technique
Module 4: Business-related Mathematics- Credit card applications
Module 5: Networks and Decision Mathematics- Determining a critical path from a table of values
Module 6: Matrices- Find the determinant of a matrix manually, showing all workings
- Identify why a matrix might be singular
- Recognise where proportions are placed in a Transition Matrix
- Evaluate why some matrices cannot be multiplied
- Show approriate reasoning why a Steady State has been reached, coincided with before and after matrix examples
Special thanks to:
- Yendall (Core, Number Patterns, Networks and Decision Mathematics, Matrices)