Studyit: Achievement criteria

Mathematics 1.3 Investigate relationships between tables, equations and graphs

You need to investigate relationships between tables, equations and graphs.
This involves one or more of:
- making links between tables, equations and/or graphs
- demonstrating knowledge of concepts and terms
- communicating using appropriate numeric, symbolic or graphical representations.
Relationships include the connections between matching features of tables, equations and graphs, as well as mappings between variables in a set of ordered pairs (relations).
Relationships could include:
- relationships found in number and spatial patterns (see Linear patterns and Quadratic patterns)
- finding optimal solutions, using numerical approaches
- solving linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns
- relating graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns
- relating rate of change to the gradient of a graph (see Interpreting gradients).

Make sure that you can meet the criteria for achievement
You need to investigate relationships between tables, equations and graphs, using relational thinking
This could involve one or more of:
- selecting and carrying out a logical sequence of steps
- connecting different concepts and representations
- demonstrating understanding of concepts
- forming and using a model
- relating findings to a context
- communicating thinking using appropriate mathematical statements.

Make sure that you can meet the criteria for merit
You need to investigate relationships from tables, equations and graphs, using extended abstract thinking.
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
- using correct mathematical statements
- communicating mathematical insight.