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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


  • 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.

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