Home > Subjects > Mathematics > Level 1 > 1.4 Linear algebra (AS91029) > Achievement criteria
- Subject: Mathematics
- AS: 91029
- Level: 1
- Credits: 3
- Internal
Mathematics 1.4 Apply linear algebra in solving problems
Achievement criteria
On this page: Achievement | Achievement with Merit | Achievement with Excellence
Achievement
- You need to apply linear algebra in solving problems.
- This could involve one or more of:
- using a range of methods in solving problems (at least three different methods)
- demonstrating knowledge of algebraic concepts and terms
- communicating solutions which would usually require only one or two steps.
- Problems are situations that provide opportunities to apply knowledge or understanding of mathematical concepts. The situation will be set in a real-life context.
- Assessment could include:
- using formulae
- forming, graphing or manipulating linear equations such as when solving problems
- comparing the rate of change to the gradient of a graph
- using simultaneous equations, inequations, or graphs when solving problems such as those involving simple linear programming.
Achievement with merit
- Make sure that you can meet the criteria for achievement
- You need to apply linear algebra, involving relational thinking, in solving problems
- 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.
Achievement with excellence
- Make sure that you can meet the criteria for merit
- You need to apply linear algebra, involving extended abstract thinking, in solving problems.
- This could involve one or more of:
- demonstrating understanding of abstract concepts
- developing a chain of logical reasoning, or proof
- forming a generalisation
- using correct mathematical statements
- communicating mathematical insight.
