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Mathematics

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The Poetry of Logical Ideas

Mathematics is the study of numbers, shapes and patterns. The word comes from the Greek word "μάθημα" (máthema), meaning "science, knowledge, or learning".


 

At Aldridge:

Mathematics is offered from Year 7 to 12.

In Years 7 to 9, students study the ACARA (Australian Curriculum) program before being able to specialise in Years 10-12.

Specialised study in Senior allows entry into the workforce, apprenticeships, traineeships and tertiary study. 


 

Why study mathematics?

Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoningcreativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.


 

Facilities, equipment and software:

Although mental arithmetic is a vital component of everyday life, students will access software such as OneNote, Excel, Desmos, Graphmatica, SCIENTIFIC CALCULATORS and GRAPHICS CALCULATORS in their study of mathematics.


 

Pathways:

Mathematics is a subject offering pathways beyond school that lead to tertiary studies, vocational education or work. Mathematics can establish a basis for further education and employment in the fields of natural and physical sciences (especially physics and chemistry), mathematics and science education, medical and health sciences (including human biology, biomedical science, nanoscience and forensics), engineering (including chemical, civil, electrical and mechanical engineering, avionics, communications and mining), computer science (including electronics and software design), psychology and business.

 

Senior Subjects:

Essential Mathematics is an applied subject suited to students who are interested in pathways beyond Year 12 that lead to vocational education or work. A course of study in Essential Mathematics can establish a basis for further education and employment in the fields of trade, industry, business and community services. Students will learn within a practical context related to general employment and successful participation in society, drawing on the mathematics used by various professional and industry groups.

 

General Mathematics, Maths Methods and Specialist Maths are a general subjects suited to students who are interested in pathways beyond school that lead to tertiary studies, vocational education or work. A course of study in these subjects can establish a basis for further education and employment in the fields of business, commerce, education, finance, IT, social science, science and the arts, health and engineering.


 


 

ESSENTIAL MATHEMATICS



Unit 1:  Number, data and graphs

Topic 1: Number

Topic 2: Representing data

Topic 3: Graphs

Unit 2:  Money, travel and data

Topic 1: Managing money

Topic 2: Time and motion

Topic 3: Data collection

 

Unit 3:  Measurement, scales and data

Topic 1: Measurement

Topic 2: Scales, plans and models

Topic 3: Summarising and comparing data

 

 

Unit 4:  Graphs, chance and loans

Topic 1: Bivariate graphs

Topic 2: Probability and relative frequencies

Topic 3: Loans and compound interest

 

 

GENERAL MATHEMATICS



Unit 1: Money, measurement and Relations

Topic 1: Consumer arithmetic

Topic 2: Shape and measurement

Topic 3: Linear equations and their graphs

 

Unit 2:  Applied trigonometry, Algebra, Matrices and Univariate data

Topic 1: Applications of trigonometry

Topic 2: Algebra and matrices

Topic 3: Univariate data analysis

 

Unit 3:  Bivariate data, Sequences and change and Earth geometry

Topic 1: Bivariate data analysis

Topic 2: Time series analysis

Topic 3: Growth and decay in sequences

Topic 4: Earth geometry and time zones

 

 

 

 

Unit 4:  Investing and Networking

Topic 1: Loans, investments and annuities

Topic 2: Graphs and networks 

Topic 3: Networks and decision mathematics

 

 

MATHEMATICAL METHODS


Unit 1: Algebra, statistics and functions

Topic 1: Arithmetic and geometric sequences and series 1

Topic 2: Functions and graphs

Topic 3: Counting and probability 

Topic 4: Exponential functions 1

Topic 5: Arithmetic and geometric sequences and series

 

Unit 2:  Calculus and further functions

Topic 1: Exponential functions 2

Topic 2: The logarithmic function 1

Topic 3: Trigonometric functions 1

Topic 4: Introduction to differential calculus

Topic 5: Further differentiation and applications 1

Topic 6: Discrete random variables 1

 

Unit 3:  Further calculus

Topic 1: The logarithmic function 2

Topic 2: Further differentiation and applications 2

Topic 3: Integrals

 

Unit 4:  Further functions and statistics

Topic 1: Further differentiation and applications 3

Topic 2: Trigonometric functions 2

Topic 3: Discrete random variables 2

Topic 4: Continuous random variables and the normal distribution

Topic 5: Interval estimates for proportions

 

 

 


 


 

SPECIALIST MATHEMATICS



Unit 1:  Combinatorics, Vectors and Proof

Topic 1: Combinatorics

Topic 2: Vectors in the plane

Topic 3: Introduction to proof

 

Unit 2:  Complex numbers, Trigonometry, Functions and Matrices

Topic 1: Complex numbers 1

Topic 2: Trigonometry and functions

Topic 3: Matrices

 

Unit 3:  Mathematical Induction, further Vectors, Matrices and Complex Numbers

Topic 1: Proof by mathematical induction

Topic 2: Vectors and matrices

Topic 3: Complex numbers 2

 

Unit 4:  Further Statistical and Calculus Inference

Topic 1: Integration and applications of integration

Topic 2: Rates of change and differential equations

Topic 3: Statistical inference

 


 

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Last reviewed 14 May 2021
Last updated 14 May 2021