Code: JMA007
Title: Mathematics
Pre-requisites: JMA006
Outcome levels: PA6.1, PA6.2, CD6.1, S6.1
Coordinator: Mr Michael Craven

In this unit, students interpret and solve problems using mathematical models of realistic situations by algebraic, graphical and electronic methods. They find relationships between lines and triangles and determine probabilities to justify statements.

Topics

• Algebra – simultaneous equations
• Analytical geometry – gradients and distance
• Algebra – quadratic equations and functions
• Deductive geometry – similarity and congruence
• Algebra – rational expressions
• Probability

Assessment

• investigation assignment
• written tests

At completion students should know

• applications of simultaneous equations
• gradient and distance between points
• the form and graphs of quadratic functions
• similar and congruent triangles
• rules for operations for rational expressions
• probability theorems for simple and complex events

At completion students should be able to

• solve simultaneous equations graphically
• solve simultaneous equations by elimination and substitution
• solve problems involving simultaneous equations
• use gradients to find parallel and perpendicular lines
• find the distance between points by formula
• recognise quadratic functions
• graph quadratic functions
• solve problems involving quadratic functions
• prove triangles similar or congruent
• simplify rational expressions
• find the probability of simple and complex events

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.