# MATHEMATICS

Students are encouraged to have fun in Mathematics. They become good mathematicians by observing, representing and investigating patterns and relationships in social and physical phenomena.

All students are required to learn, practise and apply mathematical routines and techniques and use them to find solutions to standard problems, to solve problems creatively in unfamiliar situations, and to communicate Mathematics and mathematical findings in an effective manner. Students use appropriate technology, be it the calculator or their personal notebook computer.

#### Year 5

Students extend number skills and develop an understanding of place value for whole numbers and decimals and apply the basic operations to whole numbers, fractions and decimals. They make and generalise number patterns and estimation skills are explored. Measurement covers the choice of appropriate units, measuring and comparing length, capacity, volume, mass, area, time, temperature and angles. Students study location via grids and networks and the symmetry of objects is considered. The concept of chance and random samples is discussed and students represent, report and interpret data. Students analyse two and three dimensional objects. Personal notebook computers are used to collate and analyse spreadsheets and data.

#### Year 6

Students make, draw and describe 2D shapes and 3D objects and models. They give and follow instructions for moving on plans and maps. Students examine a variety of patterns. Students read, write, estimate, compare, order, add, subtract and multiply large numbers, fractions and decimals. They learn to name fractions as decimals and percentages. Students select and use the appropriate operations and the relevant information to solve a problem. They generate, continue and record the rules for a variety of number sequences and patterns. Students choose and use appropriate units of measurement. They learn to calculate perimeter and area and use a protractor to measure and draw angles. Students use a variety of scales to learn to read 12 hour and 24 hour time. Students summarise data using simple statistics such as percentages and averages. They record information in a variety of forms. Students select and use the appropriate operations and the relevant information to solve a problem. They are encouraged to think logically and choose from a range of strategies to problem solve.

#### Year 7

Students revise the basic number skills for whole numbers, fractions and decimals. Students are introduced to index notation, and addition/subtraction of negative numbers. Geometry is studied and covers angles, two dimensional shapes, constructions and perspective. Measurement is extended to the calculation of the area of common shapes and the concept of perimeter is further explored. Students are introduced to volume and capacity. Statistics introduces the use of spreadsheets and the idea of measures of central tendency including mean, median and mode. Chance is considered via simple probability experiments. Students are introduced to algebra with the emphasis on an intuitive understanding of a variable and its application to solving equations and use in formulae.

ASSESSMENT
Semester 1
2. Course Term Tests (40%)
3. Coursework (40%)
Semester 2
2. Course Term Tests (30%)
3. Coursework (30%)

#### Year 8

There are two courses of Mathematics at Year 8 which have been designed to cater for the different mathematical needs of our students.

Mathematic Standard Level covers the material which has traditionally been taught to all students in the year group. It provides solid background material for all future mathematical studies.

Mathematics Higher Level is designed for students who work at an accelerated level. This course comprises a significant number of extension topics and activities in addition to the Standard Level component. All students participate in the Australian Mathematics Competition and a small number may also enter the Challenge and Enrichment stages of the Mathematics Challenge for Young Australians competition run by the Australian Mathematical Trust.

The appropriate course for each student is determined initially on the previous year’s performance or testing at the beginning of the year. Some changes may be made during the year.

Number is extended to percentages, indices, integers and ratio. The circle, transformations and three dimensional shapes are explored in geometry. Measurement covers the use of formulae to calculate the area of composite shapes, the circle and the volume of common prisms. Statistics is developed to find simple summary statistics and probability considers simulation and the use of tree diagrams. Students are introduced to a formal approach to algebra for solving equations and the manipulation of algebraic expressions is explored.

ASSESSMENT
2. Course Term Tests (40%)
3. Classwork (30%)

## 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
Timbertop - Year 9