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
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
|
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
|