# MATHEMATICS

There are three courses of Mathematics that are designed to cater for the different mathematical needs of our students.

Mathematics Higher Level is designed for students who have a high degree of mathematical skill and ability to deal with numerical problems. The course is based on the Year 9 National Curriculum with added enrichment areas of study attached to each topic. This primarily involves using Year 9 Mathematics in applications to more advanced problem-solving tasks. There are a limited number of places in Higher Level Mathematics. Places are determined by the quality of students’ performances and their dedication, perseverance and thoroughness at completing class and prep tasks.

Mathematics Standard Level is designed for students entering the year with a sound grasp of Year 8 Mathematics. It covers a standard Year 9 curriculum and provides the essential background material and skills for a student entering Year 10.

Foundation Mathematics covers a similar range of topics as Mathematics Higher Level and Standard Level but generally moves at a slower pace and with lower student/teacher ratios to allow for maximum teacher support. This course is designed for students who have experienced difficulty in dealing with mathematical and/or numerical thinking and aims to support and address issues at an individual level.

The appropriate course for each student is determined at the beginning of the year and is based on the previous year’s performance or diagnostic testing in the first weeks of Term 1. This allocation is not static and may change depending on class numbers and if it is decided that a student is better-suited to another course.

All Mathematics Higher Level and Mathematics Standard Level students cover the following topics:

Measurement
• Calculate the areas of composite shapes
• Calculate the surface area and volume of cylinders and solve related problems

Pythagoras and trigonometry
• Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles
• Apply trigonometry to solve right-angles triangle problems

Indices & Scientific Notation
• Apply index laws to numerical expressions with integer indices
• Express numbers in scientific notation

Linear Equations and Relations
• Solve linear equations algebraically including pronumerals on both sides of equals sign and bracket
• Solving problems with linear equations and transpose formulae and literal equations

Algebraic techniques
• Using pronumerals, simplifying algebraic expressions and fractions
• Expanding and factorising algebraic expressions
• Simplifying algebraic fractions –multiplication & division
• Applications of algebra

Linear relations
• Finding the distance and midpoint between two points located on a Cartesian plane using a range of strategies, including graphing software
• Sketch linear graphs using the coordinates of two points

Introduction to quadratic equations and graphs
• Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations

Probability & Statistics
• Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources
• Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread
Foundation Mathematics students cover a modified version of these topics with an emphasis on basic operations and relation to real world situations. They also complete a ‘Money Matters’ Unit.
All students are required to learn, practise and apply mathematical skills and techniques, utilise knowledge within a problem-solving context and to communicate mathematical method and process in a clear and effective format. Generally mathematical method makes up 40% of each test or assignment mark.

ASSESSMENT
1. Classwork and Module (30%)
2. Tests and Examinations (55%)
3. Assignments (15%)

## MATHEMATICS PATHWAY AT GGS

Group 5 - Mathematics HL
Year 11 and 12 - IB

Group 5 - Mathematical Studies
Year 11 and 12 - IB

Group 5 - Mathematics SL
Year 11 and 12 - IB

Mathematics
Year 11 and 12 - VCE

Mathematics
Year 10

Mathematics
Years 5 to 8