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Mathematics

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​​​​​​​​Head of Department - Phil Freeman


Philosophy and Objectives of the Mathematics Department

The purpose of Craigslea SHS as a safe, tolerant and disciplined school is to meet the individual needs of our diverse student population including local, ESL, and International, whilst pursuing high levels of educational attainment.

  • Integrating an academic approach with the modern classroom;
  • Develop confidence in the subject and to inspire the inquisitive mind;
  • Develop a disciplined approach to problem solving i.e. a strategic plan;
  • Develop organizational skills in the subject;
  • Acquire technological skills that complement the mathematical skills
  • Provide a range of learning experiences to suit the individual needs of students
  • Give all students the opportunity to obtain at least a Sound Achievement in Junior Mathematics
  • Provide a range of skills to meet the demands across the curricula
  • Develop communication skills
  • Provide basic mathematical skills in order to equip students for society’s demands
  • Fostering in students a sense of belonging and an awareness of their rights as citizens in a global community.
  • Creating and maintaining a multi-cultural campus where students from different cultures are valued and accepted.

Time Allocation

The time allocated to Mathematics for Years 7 - 12 is 210 minutes of instruction time a week. 

Competitions

  • April - Mathematics Team Challenge
  • August - Australian Mathematics Competition
  • May/June - Mathematical Challenge Competition
  • Semester 1 - UQ/QAMT Problem Solving Competition
  • Semester 2 - UQ Problem Solving Competition 

Course Support and Tutorial

Thursday Afternoons 3.00pm – 4.00pm. All year levels welcome for Mathematics Tutorials​.

Middle Schooling Mathematics Sequence

​Year 7

​​Year Level

​Course

​Outline

​Year 7
​Standard
All Year 7 students complete the Standards stream. Topics included are:

  • Number and place value
  • Real numbers
  • Using units of measurement
  • shape
  • Real numbers
  • Money and financial mathematics


  • Geometric reasoning
  • patterns and algebra
  • Linear and non-linear relationships
  • Patterns and algebra
  • Location and transformation
  • Geometrics reasoning
  • Chance
  • Data representation and interpretation​

Year 8

​​Year Level

​Course

​Outline

​Year 8
​Standard
All Year 8 students complete the Standards stream. Topics included are:

  • Number and place value
  • Real numbers
  • Chance
  • Data representation and interpretation
  • Using units of measurement​


  • Using units of measurement
  • Geometric reasoning
  • Patterns and algebra
  • Linear and non-linear relationships


Year 8 Mathematics Year Level Plan


Year 9

​​Year Level

​Course

​Outline

​Year 9
​Standard
All Year 9 students complete the Standards stream. Topics included are:

  • Money and financial mathematics
  • Using units of measurement
  • Chance
  • Real numbers
  • Linear and non-linear relationships
  • Pythagoras


  • Patterns and algebra
  • Data representation and interpretation
  • Geometric reasoning
  • Trigonometry
  • Real numbers
  • Using units of measurement


Year 9 Mathematics Year Level Plan​


Year 10

​​Year Level

​Course

​Outline

​Year 10
Extension Mathematics (Students striving to study Mathematical Methods and/or Specialist Maths in Years 11 and 12).
Students succeeding well in Mathematics in Year 9 will be offered this stream, which runs in parallel to the Year 10 standard course.

If a student wants to do Mathematical Methods in Years 11/12, they will need to study this subject as this course extends students whilst also preparing them for their senior course. Students that get a 'B' or higher at the end of Semester 1 in this subject will be recommended to study Methods/Specialist in Years 11/12, prior to Years 11/12 subject meetings.

  • Pythagoras and trigonometry

  • Linear and non-linear relationships

  • Chance

  • Patterns and algebra

  • Using units of measurement 


  • Geometric reasoning

  • Data representation and interpretation

  • Real numbers

  • Money and financial mathematics 


​Standard Mathematics (Students striving to study General Mathematics or Essential Mathematics in Years 11 and 12).​

Students getting a grade of 'C' or below in Year 9 will be offered this stream, which runs in parallel to the Year 10 Extension course.

If a student wants to do General Mathematics in Years 11/12, then this course will prepare them. Students that get a 'C' or higher at the end of Semester 1 in this subject will be recommended to study General Mathematics in Years 11/12.

  • Pythagoras and trigonometry

  • Chance

  • Patterns and algebra

  • Linear and non-linear relationships


  • Using units of measurement

  • Geometric reasoning

  • Data representation and interpretation

  • Money and financial mathematics


We recommend students discuss these options at the end of Year 9 as successful competition of Extension Maths in Year 10 is used as a means to the selection of senior Math subjects.

Year 10 Mathematics Standard Year Level Plan

Year 10 Mathematics Extension Year Level Plan

Senior School Mathematics Courses

 Year 11

​​Subject

​Outline​

​Assessment

Unit Weighing

​Essential Mathematics
​Unit 1: Number, data and graphs
  • Fundamental topic: calculations
  • Topic 1: Number
  • Topic 2: Representing data
  • Topic 3: Graphs​



Unit 2: Money, travel and data

  • Fundamental topic: Calculations
  • Topic 1: Managing money
  • Topic 2: Time and motion
  • Topic 3: Data collection
FA1 - Formative internal assessment 1: Problem-solving and modelling task

FA2 - Formative internal assessment 2: Examination


FA3 - Formative internal assessment 3: Problem-solving and modelling task

FA4 - Formative internal assessment 4: Examination


Notionally

~50%




~50%




~50%





 ~50%

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​
FA1 - Formative internal assessment 1: Problem-solving and modelling task

FA2 - Formative internal assessment 2: Examination


FA3 - Formative internal assessment 3: Examination
~50%





~50%





~100%

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


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 differentiations and applications 1
  • Topic 6: Discrete random variables 1
FA1 - Formative internal assessment 1: Problem-solving and modelling task

FA2 - Formative internal assessment 2: Examination


FA3 - Formative internal assessment 3: Examination
~50%





~50%





~100%
Specialist Mathematics
​Unit 1: Combinations, 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
  • Topic 2: Trigonometry and functions
  • Topic 3: Matrices
FA1 - formative internal assessment 1: Problem-solving and modelling task

FA2 - Formative internal assessment 2: Examination


FA3 - Formative internal assessment 3: Examination

~50%





~50%





~100%


Year 12​

​​Subject

​Outline​

​Assessment

Unit Weighing

​Essential Mathematics

Unit 3: Measurement, scales and data

  • Fundamental topic: Calculations
  • Topic 1: Measurement
  • Topic 2: Scales, plans and models
  • Topic 3: summarising and comparing data


Unit 4: Graphs, chance and loans

  • Fundamental topic: Calculations
  • Topic 1: Bivariate graphs
  • Topic 2: Probability and relative frequencies
  • Topic 3: Loans and compound interest​





IA1 - Summative internal assessment 1: Problem-solving and modelling task

IA2 - Summative internal 



IA3 - Summative internal assessment 3: Problem-solving and modelling task

IA4 - Summative internal assessment 4: Examination

For Unit 3 Report Card

Notionally

~25%





~25%



Final judgement by QCAA
General Mathematics
​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
Summative internal assessment 1: problem-solving and modelling task (20%)

Summative internal assessment 2 (Unit 3): Examination (15%)



Summative internal assessment 3 [Unit 4]: Examination (15%)

Summative external assessment [Unit 3 and 4]: Examination (30%)

For Unit 3 Report Card
~50%




~50%








Final judgement by QCAA For QCAA Unit 3 and 4
Mathematical Methods

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
Summative internal assessment 1: Problem-solving and modelling task (20%)

Summative internal assessment 2 [Unit 3]: Examination (15%)


Summative internal assessment 3 [Unit 4]: Examination (15%)





Summative external assessment [Unit 3 and 4]: Examination (50%)

For Unit 3 Report Card
~50%




~50%






Final judgement by QCAA For QCAA Unit 3 and 4
Specialist Mathematics
Unit 3: Mathematical induction, and 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 calculus and statistical inference
  • Topic 1: Integration and applications of integration
  • Topic 2: Rates of change and differential equations
  • Topic 3: Statistical inference
Summative internal assessment 1: Problem-solving and modelling task (20%)


Summative internal assessment 2 [Unit 3]: Examination (15%)


Summative internal assessment 3 [Unit 4]: examination (15%)


Summative external assessment [Unit 3 and 4]: Examination (50%)

For Unit 3 Report Card
~50%





~50%






Final judgement by QCAA For QCAA Unit 3 and 4



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Last reviewed 13 June 2023
Last updated 13 June 2023