Studyit: Achievement criteria

Mathematics 1.6 Apply geometric reasoning in solving problems

You need to apply geometric reasoning in solving problems.
This could involve one or more of:
- using a range of appropriate methods when solving problems requiring one or two steps problems (at least three different methods)
- demonstrating knowledge of geometrical concepts and terms
- communicating solutions which would usually require only one or two steps which would usually require only one or two steps.
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:
- applying angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties
- recognising when shapes are similar and using proportional reasoning to find an unknown length
- using trigonometric ratios and Pythagoras' Theorem
- deducing and applying the angle properties of circles
- Bearings.

Make sure that you can meet the criteria for achievement
You need to apply geometric reasoning 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 geometric reasoning 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.