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The Mathematics Department at Saint Ignatius College Riverview have developed our teaching programs, pedagogy and assessment in terms of the content prescribed by the NSW Board of Studies. All students are required to complete a common Mathematics course in Years 5 to 8. While foundation classes are offered to those students with numeracy problems, classes are streamed so that the most gifted mathematics students are grouped into the same class.
In Years 9 and 10 students are arranged into three distinct Mathematics courses Advanced (5.3), Intermediate (5.2) and Standard (5.1). These three courses cater for students of different mathematical abilities and prepare students to undertake the full range of courses in the senior school. At Saint Ignatius College Riverview more than 65% of each cohort attempt the Advanced(5.3) Mathematics course.
In Years 11 and 12 students preparing to undertake Tertiary study in Mathematics for courses such as engineering and the physical sciences undertake the most rigorous Extension 1 and Extension 2 courses. For those students who want a sound understanding of Mathematics, especially introductory calculus, and need it as a pre-requisite for university courses such as commerce and life sciences the College offers Mathematics (2 unit). The final course offered does not require the students to study calculus but gives students a good foundation for further Mathematics is the General mathematics course.
The Mathematics Department is proud of its impressive external examination results from both the HSC and the School Certificate. These results reflect the excellent standard of Mathematics achieved by students at the College.
Mathematics Course Content
The essential content for Mathematics in Years 5 10 is structured using one process strand - Working Mathematically
and five content strands:
- Number
- Patterns and Algebra
- Data
- Measurement
- Space and Geometry.
- These strands contain the knowledge, skills and understanding for the study of mathematics in the compulsory years of schooling
| Strand |
| Working Mathematically |
Students will develop knowledge, skills and understanding through inquiry, application of problem-solving strategies including the selection and use of appropriate technology, communication, reasoning and reflection. |
| Number |
Students will develop knowledge, skills and understanding in mental and written computation and numerical reasoning. |
| Patterns and Algebra |
Students will develop knowledge, skills and understanding in patterning, generalisation and algebraic reasoning. |
| Data |
Students will develop knowledge, skills and understanding in collecting, representing, analysing and evaluating information. |
| Measurement |
Students will develop knowledge, skills and understanding in identifying and quantifying the attributes of shapes and objects and applying measurement strategies. |
| Space and Geometry |
Students will develop knowledge, skills and understanding in spatial visualisation and geometric reasoning. |
Topics studied - Kindergarten to Year 10
| Years | K- 6 | 7 - 8 | Standard | Intermediate | Advanced |
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Stage 5.3 |
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Stage 5.2 |
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| Strand |
Early Stage 1 to Stage 3 |
Stage 4 |
Stage 5.1 |
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Working Mathematically
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Five Interrelated Processes
Questioning
Applying Strategies
Communicating
Reasoning
Reflecting |
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Number
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Whole Numbers
Addition and Subtraction
Multiplication and Division
Fractions and Decimals
Chance
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Operations with Whole Numbers
Integers
Fractions, Decimals and Percentages
Probability
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Rational Numbers
Consumer Arithmetic
Probability
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Rational Numbers
Consumer Arithmetic
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Real Numbers
Probability
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Patterns and Algebra
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Patterns and Algebra
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Number Patterns
Algebraic Techniques
Linear Relationships
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Algebraic Techniques
Coordinate Geometry
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Algebraic Techniques
Coordinate Geometry
Graphs of Physical Phenomena
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Algebraic Techniques
Coordinate Geometry
Graphs of Physical Phenomena
# Curve Sketching and Polynomials
# Functions and Logarithms
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Data
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Data
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Data
Representation
Data Analysis and Evaluation
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Data
Representation and Analysis
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Data Analysis and Evaluation
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Measurement
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Length
Area
Volume and Capacity
Mass
Time
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Perimeter and Area
Surface Area and Volume
Time
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Perimeter and Area
Trigonometry
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Perimeter and Area
Surface Area and Volume
Trigonometry
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Surface Area and Volume
Trigonometry
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Space and Geometry
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Three-dimensional Space
Two-dimensional Space
Position
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Properties of Solids
Angles
Properties of Geometrical Figures
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Properties of Geometrical Figures
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Deductive Geometry
# Circle Geometry
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Topics studied Years 11 and Year 12
| General Mathematics |
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Preliminary Course
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HSC Course
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Financial Mathematics
FM1: Earning money
FM2: Investing money
FM3: Taxation
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Financial Mathematics
FM4: Credit and borrowing
FM5: Annuities and loan repayments
FM6: Depreciation
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Data Analysis
DA1: Statistics and society
DA2: Data collection and sampling
DA3: Displaying single data sets
DA4: Summary statistics
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Data Analysis
DA5: Interpreting sets of data
DA6: The normal distribution
DA7: Correlation
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Measurement
M1: Units of measurement
M2: Applications of area and volume
M3: Similarity of two-dimensional figures
M4: Right-angled triangles
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Measurement
M5: Further applications of area and volume
M6: Applications of trigonometry
M7: Spherical geometry
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Probability
PB1: The language of chance
PB2: Relative frequency and probability
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Probability
PB3: Multi-stage events
PB4: Applications of probability
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Algebraic Modelling
AM1: Basic algebraic skills
AM2: Modelling linear relationships
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Algebraic Modelling
AM3: Algebraic skills and techniques
AM4: Modelling linear and non-linear relationships
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Mathematics (2 Unit)
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Preliminary Course
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HSC Course
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Basic arithmetic and algebra (1.11.4)
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Coordinate methods in geometry (6.8)
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Real functions (4.14.4)
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Applications of geometrical properties (2.5)
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Trigonometric ratios(5.15.5)
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Geometrical applications of Differentiation (10.110.8)
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Linear functions (6.16.5, 6.7)
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Integration (11.111.4)
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The quadratic polynomial and the parabola (9.19.5)
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Trigonometric functions (including Applications of trigonometric ratios 13.113.6, 13.7)
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Plane geometrygeometrical properties (2.12.4)
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Logarithmic and exponential functions (12.112.5)
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Tangent to a curve and derivative of a function (8.18.9)
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Applications of calculus to the Physical world(14.114.3)
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Probability (3.13.3)
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Series (7.17.3) and Series applications (7.5)
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| Extension 1 Mathematics |
| Preliminary Course< |
HSC Course |
| Other inqualities (1.4E) |
Methods of integration (11.5) |
| Circle geometry (2.6-2.10) |
Primitive of sin2 x and cos2 x (13.6 E)
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Further trigonometry (sums and differences, formulae, identities and equations) (5.6-5.9)
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Equation = k ( N-P ) (14.2 E)
Velocity and acceleration as a function
of x (14.3 E)
Projectile motion (14.3 E)
Simple harmonic motion (14.4)
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Angles between two lines (6.6)
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Inverse functions and inverse
trigonometric functions (15.115.5)
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Internal and external division of lines into given ratios (6.7E)
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Induction (7.4)
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Parametric representation (9.6)
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Binomial theorem (17.117.3)
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Permutations and combinations (18.1)
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Further probability (18.2)
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Polynominals (16.1-16.3)
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Iterative methods for numerical
estimation of the roots of a polynomial equation (16.4)
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Harder applications of HSC 2 unit
topics, including 10.5 E, 13.4 E, 14.1 E
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| Extension 2 Mathematics |
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HSC Course |
| Graphs |
| Complex Numbers |
| Conics |
| Integration |
| Volumes |
| Mechanics |
| Polynominals |
| Harder 3 unit topics |
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Senior School 
