Mathematics is an integral part of a general education and provides a foundation for developing not only an understanding of the environment, but also the knowledge and skills to be active participants and informed decision-makers within that environment.
Middle School Mathematics provides students with a range of skills and areas of understanding which are necessary for life in the wider community, useful in a technological society, essential for communication, important as a basis for further study in Mathematics and required by other subject areas.
The Years 1 to 10 Mathematics key learning area is arranged in five strands:
- Number
- Patterns and Algebra
- Measurement
- Chance and Data
- Space
A strong emphasis on thinking, reasoning and working mathematically will enhance understandings of knowledge, procedures and strategies associated with topics in each of the five strands.
Numeracy Links for years 8, 9, and 10
COURSE OUTLINE
The subject has been developed to cater for students who have struggled with mathematics throughout their schooling. It aims to provide a set of learning experiences that revolve around the basic mathematical skills that are required for employment opportunities and living within a community (functional numeracy). The majority of learning activities contain practical and real life applications. Students will work either as a class group or at their own pace.
The course may include the following topics:
- Basic number skills
- Measurement
- Collecting, displaying and interpreting data
- Financial mathematics
- Practical geometry
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Head of Department – Special Education.
Year 8 Mathematics
COURSE OUTLINE
This subject develops numeracy skills through the study of a range of mathematical concepts.
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Term 1 |
Whole numbers Integers Fractions Decimals |
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Term 2 |
Length Perimeter Area and surface area Volume Capacity |
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Term 3 |
Bearings Latitude and longitude Algebraic expressions Algebraic equations |
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Term 4 |
Sample space Theoretical probability Complementary events Collecting data Displaying data Interpreting data |
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Head of Department – Mathematics.
Year 9 Mathematics
COURSE OUTLINE
This subject develops numeracy skills through the study of a range of mathematical concepts.
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Term 1 |
Percentages Finance Australian Time zones Timetables |
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Term 2 |
Cartesian plane Algebraic rules Linear patterns Gradients Simultaneous equations |
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Term 3 |
Ratios Rates Shape Queensland Comparative Assessment Task (QCAT) |
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Term 4 |
Angles Pythagoras’s Theorem Tangent ratio Sine ratio Cosine ratio |
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Head of Department – Mathematics.
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SENIOR SCHOOL MATHEMATICS
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Year 10 Mathematics - Core
COURSE OUTLINE
This course is designed to prepare students for their entry into Mathematics A or Prevocational Mathematics in Year 11.
This subject develops numeracy skills through the study of a range of mathematical concepts.
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Term 1 |
Integers Order Convention Rounding Rate Perimeter Theorem of Pythagoras Co-ordinates Probability |
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Term 2 |
Scientific Notation Fractions Ratio & Proportion Area Time Shapes Solutions to equations |
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Term 3 |
Percentage Financial Maths Surface Area Trigonometry Nets & 3-D shapes Angles |
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Term 4 |
Volume Scale Drawings Bearings Statistics
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Head of Department – Mathematics.
Year 10 Mathematics - Extension
This course is designed to prepare students for their entry into Mathematics B and C in Year 11. The course of study has a significant algebra component.
COURSE OUTLINE
This subject develops numeracy skills through the study of a range of mathematical concepts.
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Term 1 |
Perimeter, Area, Surface Area, & Volume Earning & Spending money Taxation Simple & Compound Interest |
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Term 2 |
Theorem of Pythagoras Trigonometry Ratio & Rates Index Laws |
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Term 3 |
Statistics Distributive Law Expanding & factorising quadratics Deductive Geometry |
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Term 4 |
Linear & quadratic graphs Gradients Equations of lines Distance formula Solving quadratic equations Simultaneous Equations Probability |
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Head of Department – Mathematics.
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MATHEMATICS A Subject Code: SMA Authority Subject |
Pre-requisites
Sound Level of Achievement (C) or higher in Year 10 Core Mathematics.
Rationale
Mathematics is an integral part of a general education. It can enhance understanding of our world and the quality of our participation in a rapidly changing society. Mathematics A emphasises the development of positive attitudes towards the student’s involvement in mathematics. This development is encouraged through the use of relevant personal and work-related learning experiences. There is also a focus on the development of mathematical knowledge and understanding through investigative and explorative approaches to learning.
Course Outline
The Mathematics A Syllabus contains core and elective topics which relate to the mathematics used in personal and work situations.
The core topics are:
- Managing Money I
earnings, taxation, budgeting, spending and business application
- Elements of Applied Geometry
applications of Pythagoras’ Theorem and trigonometry, area, volume and capacity, latitude, longitude and measurement of time and distance
- Linking 2 and 3 Dimensions
interpretation and drawing of scale drawings and plans, the geometry of bracing for rigidity, practical tests for squareness, plumbness and levels, estimation of quantities and costs in a variety of construction areas
- Data Collection and Presentation
types of data and variables, collecting and handling data, sampling, data displays, measures of central tendency, standard deviations and descriptors of spread
- Managing Money II
nominal rates, inflation, appreciation and depreciation, notion of present value of a lump-sum payment, consumer credit and investments
- Data Collection and Presentation
use of summary and sample statistics, relationships between variables, relative frequencies, probability and misuse of probabilities and contingency tables
The two elective topics selected by the Head of Department are:
- Maps and compasses — Land measurement
compass bearings and reverse bearings, drawing and interpreting site plans, position-fixing, calculation of grades (gradient of the land), interpretation of maps which may include contour, topographical, detail, cadastral and land-use maps, calculation of perimeters and areas
- Introduction to models for data
calculate, tabulate and graph probability distributions, calculate expected values, binomial situations, normal distribution model, determine odds as an application of probabilities
Special Equipment
Scientific calculator
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Head of Department – Mathematics.
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MATHEMATICS B Subject Code: SMB Authority Subject |
Pre-requisites
High Level of Achievement (B) or higher in Year 10 Extension Mathematics.
Rationale
Mathematics is an integral part of a general education. It enhances understanding of the world and the quality of participation in a rapidly changing society.
Mathematics B aims to provide the opportunity for students to participate more fully in lifelong learning and to appreciate that Mathematics is a:
- unique and powerful way of viewing the world to investigate patterns, order, generality and uncertainty
- way of thinking in which problems are explored through observation, reflection and logical, inductive or deductive reasoning
- powerful, concise and unambiguous symbolic system with written, spoken and visual components
- creative activity with its own intrinsic value, involving invention, intuition and exploration.
Course Outline
The Mathematics B course consists of seven core topics.
- Introduction to Functions
functions as graphs, linear/quadratic/inverse functions
- Rates of Change
concept of rate of change, average rate of change, limits
- Periodic functions and applications
trigonometry, radians, graphs of trigonometric functions, derivatives
- Exponential and Logarithmic functions
index laws, exponential and logarithmic functions, derivatives, applications
- Optimisation using derivatives
curve sketching, maxima/minima, derivatives
- Introduction to Integration
definite and indefinite integrals, area under a curve, numerical approximations
- Applied statistical analysis
graphical and tabular display, measures of central tendency/dispersion, probability distributions
Special Equipment
Scientific calculator
Graphics calculator
Note: Students can hire a graphics calculator from the school at a cost of $30.00/year. A $20 bond is required upon hire of the calculator and is refunded when the calculator is returned in a working order and in good condition.
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Head of Department – Mathematics.
MATHEMATICS C Subject Code: SMC Authority Subject |
Pre-requisites
High Level of Achievement (B) or higher in Year 10 Extension Mathematics.
Concurrent Enrolment in Mathematics B.
Rationale
Mathematics is an integral part of a general education. It enhances understanding of the world and the quality of participation in a rapidly changing society.
Mathematics C is a companion subject to Mathematics B. It aims to extend the competency and confidence of students in mathematics beyond the scope of Mathematics B, to build on and combine many of the concepts introduced in Mathematics B, and to provide further opportunities for students to participate more fully in lifelong learning.
Course Outline
The Mathematics C course consists of core and elective topics.
The core topics are:
- Introduction to Groups
properties of a group, Cayley tables, applications
- Real and Complex Number Systems
rational and irrational numbers, surds, algebraic and graphical representation of complex numbers, roots, trigonometric identities and de Moivre’s Theorem
- Matrices and Applications
definitions, matrix operations, inverse, determinants
- Vectors and Applications
definitions, vector applications, scalar and vector product, resolving vectors
- Calculus
application of derivatives, integration, Simpson’s Rule
- Structure and Patterns
geometric/arithmetic sequences, proof by induction, number patterns and applications, permutations and combinations, finite differences
The two elective topics selected by the Head of Department are:
- Dynamics
derivatives and integrals of vectors, Newton’s laws of motion in vector form, straight line motion, vertical motion under gravity with and without air resistance, projectile motion without air resistance, simple harmonic motion, circular motion with uniform angular velocity.
- Introductory modelling with probability
events and set operations, logical circuits and truth tables, working with probabilities of events, independence, system/circuit reliability, simple Markov chain models, use data to compare and explore the suitability of an exponential model or a uniform model.
Special Equipment
Scientific calculator
Graphics calculator
Note: Students can hire a graphics calculator from the school at a cost of $30.00/year. A $20 bond is required upon hire of the calculator and is refunded when the calculator is returned in a working order and in good condition.
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Head of Department – Mathematics.
PREVOCATIONAL MATHEMATICS Subject Code: SMV Authority Registered Subject |
Pre-requisites
Nil.
Rationale
Numeracy is the effective use of mathematics to meet the general demands of life at home, in paid work, and for participation in community and civic life. Prevocational Mathematics is designed to help students improve their numeracy by building their confidence and success in making meaning of mathematics. It aims to assist students to overcome any past difficulties with, or negative attitudes towards, mathematics, so that they can use mathematics efficiently and critically to make informed decisions in their daily lives.
Course Outline
The Prevocational Mathematics course of study is based on five topics that are grouped into three categories according to the purposes and functions of using mathematics in various contexts. These categories are:
- Interpreting society: this relates to interpreting and reflecting on numerical and graphical information of relevance to self, work or the community.
- Personal organisation: this relates to the numeracy requirements for personal matters involving money, time and travel.
- Practical purposes: this relates to the physical world in terms of designing, making and measuring.
The five topics are:
- Interpreting society: number (study area core)
- Interpreting society: data
- Personal organisation: location and time
- Practical purposes: measurement
- Personal organisation: finance.
Special Equipment
Calculator
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Head of Department – Mathematics.
