Home > Subjects > Mathematics > Level 3 - CAS calculus > 3.3 Patterns and relationships (AS90835) > Achievement criteria
- Subject: Mathematics
- AS: AS90835
- Level: 3
- Credits: 5
- External
CAS Calculus 3.3 Demonstrate an understanding of patterns and relationships when solving problems
Achievement criteria
This achievement standard involves demonstrating an understanding of patterns and relationships when solving problems.
Note: Candidates cannot use credit for both this achievement standard and either AS 90635 or AS90636 (Calculus 3.1 and 3.2) towards a national qualification including a National Certificate of Educational Achievement.
Achievement
- You need to demonstrate an understanding of patterns and relationships when solving problems.
- Patterns and relationships will be selected from graphs, tables, algebraic (including parametric) representations and ordered pairs for:
- Completion of the square or binomial expansion for small positive integers may be required.
Achievement with Merit
- You need to reach Achievement.
- You need to demonstrate a deeper understanding of patterns and relationships when solving problems.
- Understanding of graphical situations may involve:
- features of graphs (eg asymptotes, directrix, eccentricity, turning points, discontinuities and intercepts)
- transformations
- relationships between graphs and their inverses or reciprocals.
- This includes linking relevant concepts and communicating the key steps of a solution.
Achievement with Excellence
- You need to reach Achievement with Merit.
- You need to demonstrate a comprehensive understanding of patterns and relationships when solving problems.
- Problems may involve:
- tangents and normals
- intersections of graphs
- implicit or parametric differentiation
- modelling
- a chain of reasoning
- proof
- loci
- optimisation.
- This includes a solution of a problem and typically an interpretation or evaluation of that solution, and may involve the linking of different representation of concepts and generalisation.
