Home > Subjects > Mathematics > Level 2 > 2.6 Algebra > Achievement criteria

- Subject: Mathematics
- AS: 91261
- Level: 2
- Credits: 4
- External

## Mathematics 2.6 Apply algebraic methods in solving problems

### Achievement criteria

On this page: Achievement | Achievement with Merit | Achievement with Excellence

#### Achievement

- You need to apply algebraic methods in solving problems.
- This could involve one or more of:
- selecting and using algebraic methods
- demonstrating knowledge of algebraic concepts and terms
- 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:
- manipulating algebraic expressions including rational expressions
- manipulating expressions with exponents, including fractional and negative exponents
- determining the nature of the roots of a quadratic equation
- solving exponential equations (may include manipulating logarithms)
- forming and solving linear and quadratic equations.

See 2.6 subject content page for revision links.

#### Achievement with Merit

- Make sure that you can meet the criteria for achievement
- You need to apply algebraic methods, using relational thinking, in solving problems.
- You need to be familiar with:
- 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 algebraic methods, using extended abstract thinking, in solving problems.
- This could involve one or more of:
- devising a strategy to investigate or solve a problem
- 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.