 # MATHEMATICS

Students are encouraged to have a positive mindset towards 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 shapes and objects. Personal notebook computers are used to collate and analyse spreadsheets and data and access online resources.

#### Year 6

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. They explore 24 hour time and calculate elapsed time.  Students make, draw and describe 2D shapes and 3D objects and models. They give and follow instructions for moving on plans and maps.  Students summarise data using simple statistics such as percentages and averages. They record information in a variety of forms.  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 (50%)
Semester 2
2. Course Term Tests (40%)
3. Coursework (40%)

#### Year 8

The Mathematics course at Year 8 has been designed to cater for the different mathematical needs of our students. Over the course of the year the material covers topics which, have traditionally been taught to all students in the year group in addition to appropriate enrichment, consolidation and support material. The nature of the course ensures that solid background material for all future mathematical studies is covered.

Enrichment material comprises a significant number of extension topics and activities in addition to the standard level components. 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.
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.

Consolidation and support material can be tailored to the individual student, across all topic areas and provides an opportunity to further cement methodology and understanding.

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

Semester 2
2. Course Term Tests (40%)
3. Classwork (50%)

## MATHEMATICS PATHWAY AT GGS

Group 5 - Analysis and Approaches
Year 11 and 12 - IB

Mathematics
Year 11 and 12 - VCE

Mathematics
Year 10

Mathematics
Timbertop - Year 9