## Sefton High School

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# Mathematics

## Mathematics Faculty

At Sefton High School, 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.

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 Sefton High School, 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 in Years 7 to 10

Mathematics (7-10) Course outline

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

Year 7 list of topics covered:

 1. Data Representation 2. Angles and Shapes 3. Data Collection 4. Probability 5. Numbers 6. Fractions and Decimals 7. Integers 8. Time 9. Algebraic Techniques 1 10. Length and Perimerter 11. Area 12 Properties of Geometric Figures (Parallel Lines) 13. Indicies 14. Volume 15. Linear Relationships 1

Year 8 list of topics covered:

 1. Pythagoras' Theorem 2. Fractions, Decimals and Percentages 3.    Ratio and Rates 4.    Angle Sum of Triangles and Quadrilaterals 5.    Single Variable Data Analysis 6.    Algebraic Techniques 2 7.    Equations 8.    Financial Maths 9.    Perimeter and Circumference 10. Probability 2 11. Area 12. Linear Relationships 2 13. Volume 14. Congruence

Year 9 list of topics covered:

 1.    Numbers of any magnitude 2.    Algebraic Techniques 3.    Area and Surface Area 4.    Volume 5.    Indices (and Surds) 6.    Equations 7.    Geometry (Congruence) 8.    Linear Relationships 1 9.    Data Analysis 1 10. Financial Maths 11. Ratio and Rates 12. Trigonometry 13. Probability 1 14. Properties of Geometrical Shapes

Year 10 list of topics covered:

 1.    Algebraic Techniques 2.    Financial Maths 3.    Ratio and Rates 4.    Equations 5.    Volume 6.    Surface Area 7.    Linear Relationships 2 8.    Trigonometry 9.    Similar Figures / Triangles 10. Data Analysis 2 11. Non-Linear Relationships 12. Probability 2 13. Functions and Graphs 14. Logarithms 15. Polynomials 16. Circle Geometry

Mathematics in Years 11 and 12

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

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

 Algebra Measurement Financial Mathematics Statistical Analysis Formulae and Equations Linear Relationships Applications of Measurement Working with Time Money Matters Data Analysis Relative Frequency and Probability

Year 12 course Mathematics Standard 2

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

 Algebra Measurement Financial Mathematics Statistical Analysis Networks Types of Relationships Non-right-angled Trigonometry Rates and Ratios Investments and Loans Bivariate Data Analysis The Normal Distribution Network Concepts Critical Path Analysis

## Year 11 Mathematics Advanced Course

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

 Functions Trigonometric Functions Calculus Exponential and Logarithmic Functions Statistical Analysis Working with Functions Trigonometry and Measure of Angles Trigonometric Functions and Identities Introduction to Differentiation Logarithms and Exponentials Probability and Discrete Probability Distributions

## Year 12 Mathematics Advanced Course

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

 Functions Trigonometric Functions Calculus Financial Mathematics Statistical Analysis Graphing Techniques Trigonometric Functions and Graphs Differential Calculus The Second Derivative Integral Calculus Modelling Financial Situations Descriptive Statistics and Bivariate Data Analysis

## 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.

 Functions Trigonometric Functions Calculus Combinatorics Further Work with Functions Polynomials Inverse Trigonometric Functions Further Trigonometric Identities Rates of change Working with Combinatorics

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.

 Proof Vectors Trigonometric Functions Calculus Statistical Analysis Proof by Mathematical Induction Introduction to Vectors Trigonometric Equations Further Calculus Skills Applications of Calculus The Binomial Distribution

## Year 12 Mathematics Extension 2 Course

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

 Proof Vectors Complex Numbers Calculus Mechanics The Nature of Proof Further Proof by Mathematical Induction Further Work with Vectors Introduction to Complex Numbers Using Complex Numbers Further Integration Applications of Calculus to Mechanics