Mathematics Faculty

At 撸撸视频, 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. 听听

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 撸撸视频, 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 and听Probability. Within each of these strands they will cover a range of topics.

Year 7 List of Topics Covered:

1. Data Representation听 听2. Angles and Shapes听 听3. Data Collection听 听4. Probability听 听5. Numbers听 听

6. Fractions and Decimals听 听7. Integers听 听8. Time听 听9. Algebraic Techniques 1听 听

10. Length and Perimerter听 听11. Area听 听12 Properties of听Geometric Figures (Parallel Lines)听

13. Indicies听 听14. Volume听 听15. Linear Relationships 1

Year 8 List of Topics Covered:

1.听Pythagoras' Theorem听 听2. Fractions, Decimals and Percentages听 听3. Ratio and Rates听 听

4. Angle Sum of Triangles and Quadrilaterals听 听5. Single Variable Data Analysis听 听6. Algebraic Techniques 2听

7.听 Equations听 听8. Financial Maths听 9. Perimeter and Circumference听 听10. Probability 2听 听11. Area听 听

12. Linear Relationships 2听 听13. Volume听 听14. Congruence

Year 9 List of Topics Covered:

1. Numbers of any magnitude听 听2. Algebraic Techniques听 听

3. Area and Surface Area听 听4. Volume听 听5. Indices (and Surds)听 听6. Equations听 听7. Geometry (Congruence)听 听

8. Linear Relationships 1听 听9. Data Analysis 1听 听10. Financial Maths听 听11. Ratio and Rates听 听

12. Trigonometry听 听13. Probability 1听 听14. Properties of Geometrical Shapes

Year 10 List of Topics Covered:

1. Algebraic Techniques听听2. Financial Maths听 听3. Ratio and Rates听 听4. Equations听 听5. Volume听 听6. Surface Area

7.听听听 Linear Relationships 2听 听 8. Trigonometry听 听9. Similar Figures / Triangles听 听10. Data Analysis 2听 听

11. Non-Linear Relationships听 听12. Probability 2听 听13. Functions and Graphs听 听14. Logarithms听听

15. Polynomials听 听听16. Circle Geometry

Mathematics in Years 11 and 12

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

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

• 听听听听听听听听Formulae and Equations
  
• 听听听听听听听听Linear Relationships
• 听听听听听听听听Applications of Measurement
• 听听听听听听听听Working with Time
• 听听听听听听听听Money 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:

• 听 听 听 听 Types of Relationships
• 听听听听听听听听Non-right-angled Trigonometry
• 听 听 听 听 Rates and Ratios
• 听听听听听听听听Investments 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:

• 听 听 听 听 Working with Functions
• 听听听听听听听听Trigonometry and Measure of Angles
• 听听听听听听听听Trigonometric Functions and Identities
• 听听听听听听听听Introduction to Differentiation

Year 12 Mathematics Advanced Course

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

• 听听听听听听听听Graphing Techniques
• 听听听听听听听听Trigonometric Functions and Graphs
• 听听听听听听听听Differential Calculus
• 听听听听听听听听The Second Derivative
• 听听听听听听听听Integral 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

• 听听听听听听听听Further Work with Functions
• 听听听听听听听听Polynomials
• 听听听听听听听听Inverse Trigonometric Functions
• 听听听听听听听听Further Trigonometric Identities
• 听听听听听听听听Rates 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:

• 听听听听听听听听Proof by Mathematical Induction
• 听听听听听听听听Introduction to Vectors
• 听听听听听听听听Trigonometric Equations

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Year 12 Mathematics Extension 2 Course听

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

• 听听听听听听听听The Nature of Proof
• 听听听听听听听听Further Proof by Mathematical Induction
• 听听听听听听听听Further Work with Vectors
• 听听听听听听听听Introduction to Complex Numbers
• 听听听听听听听听Using Complex Numbers