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# AS 2.2 Graphs Achievement Objectives

### Excellence

Apply graphical methods in solving problems involves:

Relational thinking involves one or more of:

Extended abstract thinking involves one or more of:

- Selecting and using methods
- Demonstrating knowledge of the properties of functions and graphs
- Communicating using appropriate representations.

- 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.

- 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.

- Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs
- Form and use linear, quadratic, and simple trigonometric equations

Methods include a selection from those related to:
- Graphs at curriculum Level 7, their features and their equations
- Transformations of graphs
- Connecting different representations of relations
- Properties of functions (may include domain and range).