Code: JMA005
Title: Mathematics
Pre-requisites: JMA004
Outcome levels: N6.3, PA5.1, PA6.2, M6.1, CD6.1, S5.1, S6.2
Coordinator: Mr Michael Craven

In this unit, students interpret analyse and solve measurement problems involving area and volume. They model and determine probabilities to justify statements, identify and solve problems involving direct and inverse variation, use deductive reasoning to generalise properties of shapes and angles and interpret and solve linear equations related to realistic problems.

Topics

• Co-ordinate geometry
• Surface area and volume of prisms
• Statistics and Probability
• Ratio and proportion
• Trigonometry – angles and triangles
• Bearings
• Algebra – equations and linear functions

Assessment

• investigation assignment
• written tests

At completion students should know

• graphing on the number plane
• formulas for surface area and volume
• a variety of graphical displays
• measures of central tendency – mean, median and mode
• simple probability theory
• direct and inverse variation
• types of angles and angle theorems in geometry
• definition of tan ratio
• the meaning of bearings
• solving harder linear equations
• graphs of linear functions
• graphical simultaneous solution of equations

At completion students should be able to

• plot points and find the distance between two points
• graph linear functions manually and using technology
• use formulas to find surface area and volume of prisms
• draw frequency distribution tables, stem-and-leaf plots and dot plots
• interpret a variety of graphical displays including picture graphs, bar graphs, histograms and sector graphs
• calculate probabilities for simple and some compound events
• name types of angles and triangles
• solve geometric problems using theorems
• use the tan ratio to find sides and angles in right-angled triangles
• interpret bearings and solve related problems
• solve life-related problems involving direct and inverse variation
• solve problems using equations
• graph linear functions manually and using technology
• solve simultaneous equations graphically

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.