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Mathematics Faculty

At ߣߣÊÓƵ, our teachers are passionate about teaching mathematics and have high expectations of their students. Further, they are confident with the quality of content that they deliver and ensure every student is supported and has an opportunity to fulfil their full potential. ÌýÌý

The Mathematics Department instil the importance of mathematics in students daily lives. As students appreciate the analytical skills that they gain through their mathematical journey at ߣߣÊÓƵ, they will find these skills invaluable to any career path they wish to pursue.

There are ample tools we use to teach and help our students learn mathematics. These include the use of technological applications/software such as Geogebra, DESMOS and Excel to assist our students to further develop a greater understanding in Mathematics.

Students are also provided with opportunities to extend their interest in Mathematics through activities, clubs and competitions such as the Computational and Algorithmic Thinking competition, Australian Mathematics Competition, the Australasian Problem-Solving Olympiad, The University of New South Wales ICAS competition, Coding Club, STEM challenges and enrichment activities both within and beyond the classroom.

Following are course outlines across Years 7-10 and Years 11-12:

Mathematics is mandatory across Years 7-10. Students study Number and Algebra, Measurement and Geometry, and Statistics andÌýProbability. Within each of these strands they will cover a range of topics.

Year 7 List of Topics Covered:

1. Data RepresentationÌý Ìý2. Angles and ShapesÌý Ìý3. Data CollectionÌý Ìý4. ProbabilityÌý Ìý5. NumbersÌý Ìý

6. Fractions and DecimalsÌý Ìý7. IntegersÌý Ìý8. TimeÌý Ìý9. Algebraic Techniques 1Ìý Ìý

10. Length and PerimerterÌý Ìý11. AreaÌý Ìý12 Properties ofÌýGeometric Figures (Parallel Lines)Ìý

13. IndiciesÌý Ìý14. VolumeÌý Ìý15. Linear Relationships 1

Year 8 List of Topics Covered:

1.ÌýPythagoras' TheoremÌý Ìý2. Fractions, Decimals and PercentagesÌý Ìý3. Ratio and RatesÌý Ìý

4. Angle Sum of Triangles and QuadrilateralsÌý Ìý5. Single Variable Data AnalysisÌý Ìý6. Algebraic Techniques 2Ìý

7.Ìý EquationsÌý Ìý8. Financial MathsÌý 9. Perimeter and CircumferenceÌý Ìý10. Probability 2Ìý Ìý11. AreaÌý Ìý

12. Linear Relationships 2Ìý Ìý13. VolumeÌý Ìý14. Congruence

Year 9 List of Topics Covered:

1. Numbers of any magnitudeÌý Ìý2. Algebraic TechniquesÌý Ìý

3. Area and Surface AreaÌý Ìý4. VolumeÌý Ìý5. Indices (and Surds)Ìý Ìý6. EquationsÌý Ìý7. Geometry (Congruence)Ìý Ìý

8. Linear Relationships 1Ìý Ìý9. Data Analysis 1Ìý Ìý10. Financial MathsÌý Ìý11. Ratio and RatesÌý Ìý

12. TrigonometryÌý Ìý13. Probability 1Ìý Ìý14. Properties of Geometrical Shapes

Year 10 List of Topics Covered:

1. Algebraic TechniquesÌýÌý2. Financial MathsÌý Ìý3. Ratio and RatesÌý Ìý4. EquationsÌý Ìý5. VolumeÌý Ìý6. Surface Area

7.ÌýÌýÌý Linear Relationships 2Ìý Ìý 8. TrigonometryÌý Ìý9. Similar Figures / TrianglesÌý Ìý10. Data Analysis 2Ìý Ìý

11. Non-Linear RelationshipsÌý Ìý12. Probability 2Ìý Ìý13. Functions and GraphsÌý Ìý14. LogarithmsÌýÌý

15. PolynomialsÌý ÌýÌý16. Circle Geometry

Mathematics in Years 11 and 12

In Years 11 and 12, Mathematics is optional and the following courses are offered:

• ÌýÌýÌýÌýÌýÌýÌýÌýMathematics Standard (Year 11)
• ÌýÌýÌýÌýÌýÌýÌýÌýMathematics Standard 2 (Year 12)
• ÌýÌýÌýÌýÌýÌýÌýÌýMathematics Advanced (Years 11 & 12)
• ÌýÌýÌýÌýÌýÌýÌýÌýMathematics Extension 1 (Years 11 & 12)
• ÌýÌýÌýÌýÌýÌýÌýÌýMathematics Extension 2 (Year 12)

Year 11 Mathematics Standard Course

The Mathematics Standard Year 11 course content comprises four Topics, with the Topics divided into Subtopics

• ÌýÌýÌýÌýÌýÌýÌýÌýFormulae and Equations
  
• ÌýÌýÌýÌýÌýÌýÌýÌýLinear Relationships
• ÌýÌýÌýÌýÌýÌýÌýÌýApplications of Measurement
• ÌýÌýÌýÌýÌýÌýÌýÌýWorking with Time
• ÌýÌýÌýÌýÌýÌýÌýÌýMoney Matters

Year 12 Course Mathematics Standard 2

The Mathematics Standard 2 Year 12 course content includes the following five Topics, with the topics divided into Subtopics:

• Ìý Ìý Ìý Ìý Types of Relationships
• ÌýÌýÌýÌýÌýÌýÌýÌýNon-right-angled Trigonometry
• Ìý Ìý Ìý Ìý Rates and Ratios
• ÌýÌýÌýÌýÌýÌýÌýÌýInvestments and Loans

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Year 11 Mathematics Advanced Course

The Mathematics Advanced Year 11 course content comprises five Topics, with the Topics divided into Subtopics:

• Ìý Ìý Ìý Ìý Working with Functions
• ÌýÌýÌýÌýÌýÌýÌýÌýTrigonometry and Measure of Angles
• ÌýÌýÌýÌýÌýÌýÌýÌýTrigonometric Functions and Identities
• ÌýÌýÌýÌýÌýÌýÌýÌýIntroduction to Differentiation

Year 12 Mathematics Advanced Course

The Mathematics Advanced Year 12 course content comprises five Topics, with the Topics divided into Subtopics:

• ÌýÌýÌýÌýÌýÌýÌýÌýGraphing Techniques
• ÌýÌýÌýÌýÌýÌýÌýÌýTrigonometric Functions and Graphs
• ÌýÌýÌýÌýÌýÌýÌýÌýDifferential Calculus
• ÌýÌýÌýÌýÌýÌýÌýÌýThe Second Derivative
• ÌýÌýÌýÌýÌýÌýÌýÌýIntegral Calculus

Year 11 Mathematics Extension 1 Course

The Mathematics Extension 1 Year 11 course content is comprised of four Topics, with the Topics divided into Subtopics

• ÌýÌýÌýÌýÌýÌýÌýÌýFurther Work with Functions
• ÌýÌýÌýÌýÌýÌýÌýÌýPolynomials
• ÌýÌýÌýÌýÌýÌýÌýÌýInverse Trigonometric Functions
• ÌýÌýÌýÌýÌýÌýÌýÌýFurther Trigonometric Identities
• ÌýÌýÌýÌýÌýÌýÌýÌýRates of change

Year 12 Mathematics Extension 1 Course

The Mathematics Extension 1 Year 12 course content is comprised of five Topics, with the Topics divided into Subtopics:

• ÌýÌýÌýÌýÌýÌýÌýÌýProof by Mathematical Induction
• ÌýÌýÌýÌýÌýÌýÌýÌýIntroduction to Vectors
• ÌýÌýÌýÌýÌýÌýÌýÌýTrigonometric Equations

Ìý

Year 12 Mathematics Extension 2 CourseÌý

The Mathematics Extension 2 course comprises five Topics, with the Topics divided into Subtopics:

• ÌýÌýÌýÌýÌýÌýÌýÌýThe Nature of Proof
• ÌýÌýÌýÌýÌýÌýÌýÌýFurther Proof by Mathematical Induction
• ÌýÌýÌýÌýÌýÌýÌýÌýFurther Work with Vectors
• ÌýÌýÌýÌýÌýÌýÌýÌýIntroduction to Complex Numbers
• ÌýÌýÌýÌýÌýÌýÌýÌýUsing Complex Numbers