Home > Subjects > Mathematics > Level 1 > 1.1 Numeric reasoning (AS91026) > Achievement criteria
- Subject: Mathematics
- AS: 91026
- Level: 1
- Credits: 4
- Internal
Mathematics 1.1 Apply numeric reasoning in solving problems
Achievement criteria
The level of achievement that you reach is decided by the questions that you answer correctly.
On this page: Achievement | Achievement with Merit | Achievement with Excellence
Achievement
- You need to apply numeric reasoning in solving problems.
- This could involve one or more of:
- Selecting and using a range of methods in solving problems (evidence of at least three different methods is required)
- demonstrating knowledge of number 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 or mathematical context.
- Problems may involve:
- Factors, multiples, powers, and roots
- fractions, decimals, percentages, and integers
- commonly used fraction, decimal, and percentage conversions (See Decimals, fractions and percentages
- rates and ratios
- standard form
- rounding with decimals and significant figures
- direct and inverse relationships with linear proportion
- everyday compounding rates
Achievement with merit
- Make sure that you can meet the criteria for achievement
- You need to apply numeric reasoning, with 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 numeric reasoning, with 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 situation may involve modelling in a real-life context, or it may involve a mathematical context.
