Code: JMA006
Title: Mathematics
Pre-requisites: JMA005
Outcome levels: N6.1, N6.3, PA6.1, PA6.2, M6.1,S6.2
Coordinator: Mr Michael Craven

In this unit, students do calculations to make informed financial decisions. They interpret and solve measurement problems by applying formulas and trigonometric ratios. Situations where direct or inverse variation apply, are identified. Students develop further their skills in basic algebra.

Topics

• Interest on money
• Algebra – expansion and factorisation
• Trigonometry – Pythagoras and sin, cos and tan
• Surface area and volume of prisms
• Ratio and proportion
• Index laws and surds

Assessment

• investigation assignment
• written tests

At completion students should know

• the difference between simple and compound interest
• the distributive law
• expansion and factorisation of binomials
• methods of solving harder linear equations
• Theorem of Pythagoras
• definitions of sin, cos and tan ratios and the meaning of bearings
• formulas for surface area and volume of prisms, pyramids and spheres
• equivalent ratios and similarity of figures
• proportion and direct variation
• basic index laws
• rules for manipulating surds

At completion students should be able to

• calculate simple and compound interest
• use the distributive law to expand binomial products
• factorise linear and quadratic expressions
• use tan, sin and cos ratios to find sides and angles in right-angled triangles
• use formulas to find surface area and volume of prisms, pyramids and spheres
• solve problems involving direct and inverse variation
• use index laws to simplify expressions
• manipulate surdic expressions and rationalise denominators
• interpret bearings and solve related problems
• solve life-related problems involving direct and inverse variation

Literacy elements

• text participants
• text users
• text analysts
• code breakers

Integrated technology

• calculators
• CAD
• word processing
• internet

Assignment guidelines

Please refer to the Assignment Guidelines on how to set out bibliographies and references.