Studyit: Achievement criteria

Mathematics 1.9 Apply transformation geometry in solving problems

You need to apply transformation geometry in solving problems.
This could involve:
- Selecting and using a range of appropriate geometrical methods (at least three different methods)
- demonstrating knowledge of geometrical concepts and terms
- communicating solutions using appropriate geometrical terms or 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.
Make sure that you can:
- use transformations (reflection, rotation, translation and enlargement)
- describe transformations (including invariant properties)
- describe the transformational symmetry of shapes and patterns
- compare and apply single and multiple transformations
- analyse symmetrical patterns by the transformations used to create them.

Make sure that you can meet the criteria for achievement
You need to apply transformation geometry, 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 transformation geometry, using extended abstract thinking, in solving problems.
This could involve one or more of:
- devising a strategy to investigate a situation
- identifying relevant concepts in context
- developing a chain of logical reasoning, or proof
- forming a generalisation
- using correct mathematical statements
- communicating mathematical insight.