Home > Subjects > Mathematics > Level 2 > 2.2 Graphs > Achievement criteria
- Subject: Mathematics
- AS: 91257
- Level: 2
- Credits: 4
- Internal
Mathematics 2.2 Draw straightforward non-linear graphs
Achievement criteria
On this page: Achievement | Achievement with Merit | Achievement with Excellence
Achievement
- You need to apply graphical methods in solving problems.
- This could involve one or more of:
- Selecting and using a range of methods in solving problems (evidence of at least three different methods is required)
- demonstrating knowledge of the properties of functions and graphs
- communicating using appropriate representations.
- Problems are situations that provide opportunities to apply knowledge or understanding of mathematical concepts. The situation will be set in a real-life or mathematical context.
- You need to be familiar with:
- Linear, quadratic, cubic, exponential, logarithmic, hyperbolic, trigonometric and piecewise graphs, and their equations
- transformations of graphs
- connecting different representations of relations
- properties of functions (may include domain and range)
- features of graphs.
Achievement with Merit
- Make sure that you can meet the criteria for achievement
- You need to apply graphical methods, using relational thinking, in solving problems.
- This could involve one or more of:
- selecting and carrying out a logical sequence of steps
- connecting different concepts or representations
- demonstrating understanding of concepts
- forming and using a model
and also relating findings to a context, or communicating thinking using appropriate mathematical statements.
Achievement with Excellence
- Make sure that you can meet the criteria for merit
- You need to apply graphical methods, using extended abstract thinking, in solving problems.
- This could involve one or more of:
- devising a strategy to investigate a situation
- identifying relevant concepts in context
- developing a chain of logical reasoning, or proof
- forming a generalisation
and also using correct mathematical statements or communicating mathematical insight.
- The situation may involve modelling in a real-life context, or it may involve a mathematical context.

