Studyit: Achievement criteria

Mathematics 1.2 Apply algebraic procedures in solving problems

NOTE: Calculators will NOT be permitted in assessment of this standard.

You need to apply algebraic procedures in solving problems.
This could involve one or more of:
- Selecting and using a range of methods (at least three different methods)
- demonstrating knowledge of algebraic concepts and terms
- communicating solutions using appropriate mathematical symbols.
Problems are situations that provide opportunities to apply knowledge or understanding of mathematical concepts and methods. The situation will be set in a real-life or mathematical context.
You need to be familiar with the following algebraic methods:
- factorising
- expanding
- simplifying algebraic expressions involving exponents, such as (2x⁴)³ or
- substituting values into formulae
- manipulating and simplifying expressions such as and (see Algebra fractions)
- rearranging formulae such as or
- solving linear equations or inequations such as 5x + 12 = 3 - 2x or 3(x - 2) < 7
- solving quadratic equations such as (8x + 3)(x - 6) = 0,
  x² + 5x – 6 = 0, 3x² = 10x - 8 (completing the square and the quadratic formula are not required)
- solving simple equations involving exponents such as x³ = 8, 5x = 125
- solving pairs of simultaneous linear equations with two unknowns.

Make sure that you can meet the criteria for achievement
You need to apply algebraic procedures, using 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.

Make sure that you can meet the criteria for merit
You need to apply algebraic procedures, 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
- using correct mathematical statements
- communicating mathematical insight.
The problem will be set in a real-life or mathematical context.