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Code: JMA003
Title: Mathematics
Pre-requisites: JMA002
Outcome levels: P&A 6.2, M 6.1, S 6.1
Coordinator: Mr Michael Craven
In this unit, students analyse and solve measurement problems involving trigonometric ratios. They use deductive reasoning and angle properties to justify relationships, and experience some extension work in sets, counting techniques, algebra and modulo arithmetic.
Topics
- Trigonometry
- Algebraic fractions
- Set theory
- Surds
- Inequalities
- Geometry – angle theorems and Transformations
- Permutations and combinations.
- Modulo arithmetic
Assessment
- investigation assignment
- written tests
At completion students should know
- definitions of tan, sin and cos ratios
- multiplication and division of algebraic fractions
- basic set notation
- operations with surds
- inequality signs and relationships
- angle theorems with plane shapes
- transformations as translations, rotations and reflections
- line and rotational symmetry
- definitions of permutations and combinations
- modulo arithmetic operations
At completion students should be able to
- apply trigonometric ratios to determine unknowns in triangles
- simplify algebraic fractions when multiplying and dividing
- understand set terminology and relationships between sets
- simplify surdic expressions
- graph and solve inequalities
- find unknown angles in plane figures using theorems
- determine the results of transformations of figures
- identify axis of symmetry and point symmetry
- calculate number of arrangements and combinations
- do operations in modulo arithmetic
Literacy elements
- text participants
- text users
- text analysts
- code breakers
Integrated technology
- calculators
- spreadsheets using excel
- word processing
- internet
Assignment guidelines
Please refer to the Assignment Guidelines on how to set out bibliographies and references. |
