Lynwood SHS Maths Department’s lower school curriculum is based on the Australian Curriculum.

Rationale

Learning mathematics creates opportunities for and enriches the lives of all Australians.  The Australian Curriculum: Mathematics provides students with essential mathematical skills and knowledge in Number and Algebra, Measurement and Geometry, and Statistics and Probability.  It develops the numeracy capabilities that all students need in their personal, work and civic life, and provides the fundamentals on which mathematical specialties and professional applications of mathematics are built.

Content Strands

Number and Algebra

Number and Algebra are developed together, as each enriches the study of the other.  Students apply number sense and strategies for counting and representing numbers.  They explore the magnitude and properties of numbers.   They apply a range of strategies for computation and understand the connections between operations.  They recognise patterns and understand the concepts of variable and function. They build on their understanding of the number system to describe relationships and formulate generalisations.  They recognise equivalence and solve equations and inequalities.  They apply their number and algebra skills to conduct investigations, solve problems and communicate their reasoning.

Measurement and Geometry

Measurement and Geometry are presented together to emphasis their relationship to each other, enhancing their practical relevance.  Students develop an increasingly sophisticated understanding of size, shape, relative position and movement of two-dimensional figures in the plane and three-dimensional objects in space.  They investigate properties and apply their understanding of them to define, compare and construct figures and objects.  They learn to develop geometric arguments.  They make meaningful measurements of quantities, choosing appropriate metric units of measurement.  They build an understanding of the connections between units and calculate derived measures such as area, speed and density.

Statistics and Probability

Statistics and Probability initially develop in parallel and the curriculum then progressively builds the links between them.  Students recognise and analyse data and draw inferences.  They represent, summarise and interpret data and undertake purposeful investigations involving the collection and interpretation of data.  They assess likelihood and assign probabilities using experimental and theoretical approaches.  They develop an increasingly sophisticated ability to critically evaluate chance and data concepts and make reasoned judgements and decisions, as well as building skills to critically evaluate statistical information and develop intuitions about data.

(The Australian Curriculum, ACARA, 2012)

Year 11 Courses

There are five mathematics courses, two General and three ATAR offered at LSHS. Each course is organised into four units, with Unit 1 and Unit 2 being taken in Year 11 and Unit 3 and Unit 4 in Year 12. The Western Australian Certificate of Education (WACE) examination for each of the three ATAR courses is based on Unit 3 and Unit 4 only.

The courses are differentiated, each focusing on a pathway that will meet the learning needs of a particular group of senior secondary students.

General Courses ATAR Courses
Mathematics Foundation Mathematics Applications
Mathematics Essential Mathematics Methods
Mathematics Specialist

 

Course Summaries

Mathematics Foundation

Eligibility:         Students who have not demonstrated the minimum standard in the numeracy component of the OLNA are eligible to enrol in the Mathematics Foundation course.

Mathematics Foundation is a General course which focuses on building the capacity, confidence and disposition to use mathematics to meet the numeracy standard for the WACE. It provides students with the knowledge, skills and understanding to solve problems across a range of contexts, including personal, community and workplace/employment. This course provides the opportunity for students to prepare for post-school options of employment and further training.

 

Mathematics Essential

Prerequisite:   Learning Area Grade C or better and Pathway Grade C or better in Year 10

Mathematics Essential is a General course which focuses on using mathematics effectively, efficiently and critically to make informed decisions. It provides students with the mathematical knowledge, skills and understanding to solve problems in real contexts for a range of workplace, personal, further learning and community settings. This course provides the opportunity for students to prepare for post-school options of employment and further training.

 

Mathematics Applications

Prerequisite:   Learning Area Grade A or B and Pathway 1 Grade C or better or
Pathway 2 Grade A in second semester of Year 10

Mathematics Applications is an ATAR course which focuses on the use of mathematics to solve problems in contexts that involve financial modelling, geometric and trigonometric analysis, graphical and network analysis, and growth and decay in sequences. It also provides opportunities for students to develop systematic strategies based on the statistical investigation process for answering statistical questions that involve analysing univariate and bivariate data, including time series data.

 

Mathematics Methods

Prerequisite:   Learning Area Grade A and Pathway 1 Grade A or B in second semester of Year 10

Mathematics Methods is an ATAR course which focuses on the use of calculus and statistical analysis. The study of calculus provides a basis for understanding rates of change in the physical world, and includes the use of functions, their derivatives and integrals, in modelling physical processes. The study of statistics develops students’ ability to describe and analyse phenomena that involve uncertainty and variation.

 

Mathematics Specialist

Prerequisite:   Learning Area Grade A and Pathway 1 Grade A in second semester of Year 10

NOTE:            This course is taken concurrently with the Mathematics Methods course.

Mathematics Specialist is an ATAR course which provides opportunities, beyond those presented in the Mathematics Methods ATAR course, to develop rigorous mathematical arguments and proofs, and to use mathematical models more extensively. The Mathematics Specialist ATAR course contains topics in functions and calculus that build on and deepen the ideas presented in the Mathematics Methods ATAR course as well as demonstrate their application in many areas. The Mathematics Specialist ATAR course also extends understanding and knowledge of statistics and introduces the topics of vectors, complex numbers and matrices. The Mathematics Specialist ATAR course is the only ATAR mathematics course that should not be taken as a stand-alone course.

 

Year 11 and 12 Courses         Change to Year 12 Courses

The courses offered in Year 11 and 12 are divided into three stages.  Stage One courses are non-ATAR contributing courses.  Stage Two and Three courses can be used to contribute to an ATAR.

Stage One

1DMAT and 1EMAT are available to students in Year 12.

Stage Two

The Stage Two units are 2AMAT, 2BMAT, 2CMAT, and 2DMAT.  These may be completed in either Year 11 or Year 12 as pairs of sequential units.  Some students choose to complete units 2CMAT and 2DMAT in Year 11 and continue on to Stage Three units in Year 12.

Stage Three

The Stage Three units are 3AMAT, 3BMAT, 3CMAT and 3DMAT.  3AMAT and 3BMAT are able to be completed in either Year 11 or Year 12.  3CMAT and 3DMAT are only available for Year 12 students.

Students in Stage Two and Three units are assumed to have a CAS calculator or Graphics calculator; classes and assessments are conducted in accordance with this assumption.