Use these links to take you to a specific course description, or browse the full list below.Bạn đang xem: Toán math 12

## Board Developed Courses

## Board Developed Life Skills Courses

## Content Endorsed Courses

## Board Developed Courses

## Mathematics Standard 1

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**Board Developed Course**

Course number(s):

11236 Mathematics Standard (2 units – Year 11)15231 Mathematics Standard 1 (2 units – Year 12)**Optional examination:** Mathematics Standard students who intend to undertake the optional HSC examination must also be enrolled in this course:

**Prerequisites: **The Mathematics Standard 1 Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the *Mathematics Years 7–10 Syllabus* and, in particular, the content and outcomes of all substrands of Stage 5.1 and the following substrands of Stage 5.2:

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**Corequisites: **Nil

**Eligibility**: Nil

**Study via self-tuition**: Yes

**Exclusions: **

### Course description

Mathematics Standard students use mathematics to make informed decisions in their daily lives. Students develop understanding and competence in mathematics through real-world applications. These skills can be used in a range of concurrent HSC subjects.

Mathematics Standard 1 improves numeracy by building student confidence and making mathematics meaningful. Numerate students can manage situations or solve problems in everyday life, work or further learning.

### What students learn

The study of Mathematics Standard 1 in Stage 6:

enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and preciselyprovides opportunities for students to consider various applications of mathematics in a broad range of contemporary contexts through the use of mathematical modelling and use these models to solve problems related to their present and future needsprovides an appropriate mathematical background for students entering the workforce and/or undertaking further community and workplace training.Year 11 courseThe Mathematics Standard Year 11 course content comprises four Topics, with the Topics divided into Subtopics.

**Topic: Algebra**

**Topic: Measurement**

**Topic: Financial Mathematics**

**Topic: Statistical Analysis**

The Mathematics Standard 1 Year 12 course content includes the same four Topics and the additional Topic ‘Networks’. The Topics and Subtopics are:

**Topic: Algebra**

**Topic: Measurement**

**Topic: Financial Mathematics**

**Topic: Statistical Analysis**

**Topic: Networks**

### Course requirements

Nil

### RoSA and HSC

The Mathematics Standard Year 11 course is a common course for all students studying the Mathematics Standard syllabus. In Year 12 students can elect to study either the Mathematics Standard 1 Year 12 course (Category B) or the Mathematics Standard 2 Year 12 course (Category A).

Mathematics Standard Year 11 course content that is essential for Mathematics Standard 1 Year 12 is identified by the symbol

.

Students studying the Mathematics Standard 1 course may elect to undertake an optional HSC examination.

To be eligible for an ATAR, students studying the Mathematics Standard 1 course must undertake a pattern of study to satisfy the ATAR requirements and complete the optional HSC examination. For the purposes of calculating the ATAR, no more than 2 units from Category B courses can be included.

All students studying the Mathematics Standard course in Stage 6 have the opportunity to enhance their numeracy skills and capabilities. The content of the course aligns with Level 3 of the Australian Core Skills Framework.

## Mathematics Standard 2

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**Board Developed Course**

Course number(s):

11236 Mathematics Standard (2 units – Year 11)15236 Mathematics Standard 2 (2 units – Year 12)**Prerequisites: **The Mathematics Standard 2 Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the *Mathematics Years 7–10 Syllabus* and, in particular, the content and outcomes of all substrands of Stage 5.1 and the following substrands of Stage 5.2:

**Corequisites: **Nil

**Eligibility**:Nil

**Study via self-tuition**: Yes

**Exclusions: **

Students who have followed the Mathematics Standard

pathway in Year 11 are encouraged to study the Mathematics Standard 1 Year 12 course.

### Course description

Mathematics Standard students use mathematics to make informed decisions in their daily lives. Students develop understanding and competence in mathematics through real-world applications. These skills can be used in a range of concurrent HSC subjects.

In Mathematics Standard 2 students extend their mathematical skills beyond Stage 5 without the in-depth knowledge of higher mathematics that the study of calculus would provide. This course prepares students for a wide range of educational and employment aspirations, including continuing their studies at a tertiary level.

### What students learn

The study of Mathematics Standard 2 in Stage 6:

enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and preciselyprovides opportunities for students to consider various applications of mathematics in a broad range of contemporary contexts through the use of mathematical modelling and use these models to solve problems related to their present and future needsprovides opportunities for students to develop an understanding of and skills in further aspects of mathematics for concurrent HSC studiesprovides an appropriate mathematical background for students entering the workforce or undertaking further tertiary training.Year 11 courseThe Mathematics Standard Year 11 course comprises four Topics, with the Topics divided into Subtopics.

**Topic: Algebra**

**Topic: Measurement**

**Topic: Financial Mathematics**

**Topic: Statistical Analysis**

The Mathematics Standard 2 Year 12 course content includes the same four Topics and the additional Topic ‘Networks’.

**Topic: Algebra**

**Topic: Measurement**

**Topic: Financial Mathematics**

**Topic: Statistical Analysis**

**Topic: Networks**

### Course requirements

Nil

### RoSA and HSC

The Mathematics Standard Year 11 course is a common course for all students studying the Mathematics Standard syllabus. In Year 12 students can elect to study either the Mathematics Standard 1 Year 12 course (Category B) or the Mathematics Standard 2 Year 12 course (Category A).

All students studying the Mathematics Standard 2 course will sit for an HSC examination.

All students studying the Mathematics Standard course in Stage 6 have the opportunity to enhance their numeracy skills and capabilities. The content of the course aligns with Level 3 of the Australian Core Skills Framework.

## Mathematics Advanced

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**Board Developed Course**

Course number(s):

11255 Mathematics Advanced (2 units – Year 11)15255 Mathematics Advanced (2 units – Year 12)**Prerequisites**: The Mathematics Advanced Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the *Mathematics Years 7–10 Syllabus* and in particular, the content and outcomes of all substrands of Stage 5.1 and Stage 5.2, and the following substrands of Stage 5.3:

and at least some of the content from the following substrands of Stage 5.3:

Non-linear relationshipsProperties of Geometrical Shapes.**Corequisites: ** Nil

**Eligibility**: Nil

**Study via self-tuition**: Yes

**Exclusions**:

### Course description

The Mathematics Advanced course is a calculus-based course focused on developing student awareness of mathematics as a unique and powerful way of viewing the world to investigate order, relation, pattern, uncertainty and generality. The course provides students with the opportunity to develop ways of thinking in which problems are explored through observation, reflection and reasoning.

The Mathematics Extension 1 Year 11 course includes the Mathematics Advanced Year 11 course. The Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course.

All students studying the Mathematics Advanced course will sit for an HSC examination.

### What students learn

The study of Mathematics Advanced in Stage 6:

enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and preciselyprovides opportunities for students to consider various applications of mathematics in a broad range of contemporary contexts through the use of mathematical modelling and use these models to solve problems related to their present and future needsprovides opportunities for students to develop ways of thinking in which problems are explored through observation, reflection and reasoningprovides a basis for further studies in disciplines in which mathematics and the skills that constitute thinking mathematically have an important roleprovides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in a range of disciplines at the tertiary level.Year 11 courseThe Mathematics Advanced Year 11 course content comprises five Topics, with the Topics divided into Subtopics.

**Topic: Functions**

**Topic: Trigonometric Functions**

**Topic: Calculus**

**Topic: Exponential and Logarithmic Functions**

**Topic: Statistical Analysis**

The Mathematics Advanced Year 12 course content includes four of the same Topics and the Topic ‘Financial Mathematics’ in place of ‘Exponential and Logarithmic Functions’.

**Topic: Functions**

**Topic: Trigonometric Functions**

**Topic: Calculus**

**Topic: Financial Mathematics**

**Topic: Statistical Analysis**

### Course requirements

Nil

### RoSA and HSC

## Mathematics Extension 1

View course

**Board Developed Course**

Course number(s):

11250 Mathematics Extension (1 unit – Year 11)15250 Mathematics Extension 1 (1 unit – Year 12)**Prerequisites:** The Mathematics Extension 1 Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the *Mathematics Years 7–10 Syllabus* and, in particular, the content and outcomes of all substrands of Stage 5.1, Stage 5.2 and Stage 5.3, including the optional substrands:

**Corequisites:**

**Eligibility**: Nil

**Study via self-tuition**: Yes

**Exclusions**:

### Course description

Mathematics Extension 1 is focused on enabling students to develop a thorough understanding of and competence in further aspects of mathematics. The course provides opportunities to develop rigorous mathematical arguments and proofs, and to use mathematical models more extensively.

The Mathematics Extension 1 Year 11 course includes the Mathematics Advanced Year 11 course. The Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course.

The Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course, and therefore also the Mathematics Advanced Year 12 course.

All students studying the Mathematics Extension 1 course will sit for an HSC examination.

### What students learn

The study of Mathematics Extension 1 in Stage 6:

enables students to develop thorough knowledge, understanding and skills in working mathematically and in communicating concisely and preciselyprovides opportunities for students to develop rigorous mathematical arguments and proofs, and to use mathematical models extensivelyprovides opportunities for students to develop their awareness of the interconnected nature of mathematics, its beauty and its functionalityprovides a basis for progression to further study in mathematics or related disciplines and in which mathematics has a vital role at tertiary levelprovides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in such areas as science, engineering, finance and economics.Year 11 courseThe Mathematics Extension 1 Year 11 course content is comprised of four Topics, with the Topics divided into Subtopics.

**Topic: Functions**

**Topic: Trigonometric Functions**

**Topic: Calculus**

**Topic: Combinatorics**

The Mathematics Extension 1 Year 12 course content includes the Topics ‘Trigonometric Functions’ and ‘Calculus’ continued from Year 11 and introduces three different Topics.

**Topic: Proof**

**Topic: Vectors**

**Topic: Trigonometric Functions**

**Topic: Calculus**

**Topic: Statistical Analysis**

### Course requirements

Nil

### RoSA and HSC

## Mathematics Extension 2

View course

**Board Developed Course**

Course number(s):

15260 Mathematics Extension 2 (1 unit – Year 12)**Prerequisites:** The Mathematics Extension 2 Year 12 course has been developed on the assumption that students have studied the content and achieved the outcomes of the Mathematics Advanced Year 11 course and the Mathematics Extension 1 Year 11 course. The Mathematics Extension 2 Year 12 course has also been constructed on the assumption that students are concurrently studying the Mathematics Advanced Year 12 course and the Mathematics Extension 1 Year 12 course.

**Corequisites:**

**Eligibility**: Nil

**Study via self-tuition**: Yes

**Exclusions**:

### Course description

Mathematics Extension 2 provides students with the opportunity to develop strong mathematical manipulative skills and a deep understanding of the fundamental ideas of algebra and calculus, as well as an appreciation of mathematics as an activity with its own intrinsic value, involving invention, intuition and exploration. Mathematics Extension 2 extends students’ conceptual knowledge and understanding through exploration of new areas of mathematics not previously seen.

The Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course and the Mathematics Advanced Year 12 course.

The Mathematics Advanced, Mathematics Extension 1 and Mathematics Extension 2 Stage 6 courses form a continuum.

All students studying the Mathematics Extension 2 course will sit for an HSC examination.

### What students learn

The study of Mathematics Extension 2 in Stage 6:

enables students to develop strong knowledge, understanding and skills in working mathematically and in communicating concisely and preciselyprovides opportunities to develop strong mathematical manipulative skills and a deep understanding of the fundamental ideas of algebra and calculus, as well as an awareness of mathematics as an activity with its own intrinsic value, involving invention, intuition and explorationprovides opportunities at progressively higher levels for students to acquire knowledge, understanding and skills in relation to concepts within areas of mathematics that have applications in an increasing number of contextsprovides a basis for progression to further study in mathematics or related disciplines and in which mathematics has a vital role at tertiary levelprovides an appropriate mathematical background for students whose future pathways will be founded in mathematics and its applications in such areas as science, engineering, finance and economics.Year 12 courseThe Mathematics Extension 2 course comprises five Topics, with the Topics divided into Subtopics.

**Topic: Proof**

**Topic: Vectors**

**Topic: Complex Numbers**

**Topic: Calculus**

**Topic: Mechanics**

### Course requirements

Nil

### RoSA and HSC

## Board Developed Life Skills Courses

## Mathematics Life Skills

View course

**Board Developed Course**

Course number(s):

16611 Mathematics Life Skills (2 units – Year 11)16611 Mathematics Life Skills (2 units – Year 12)**Prerequisites**: A student studying any Stage 6 Life Skills course will usually have completed one or more courses based on Life Skills outcomes and content in Years 7–10, except under special circumstances.

**Corequisites:** Nil

**Eligibility: **Life Skills Eligibility

**Study via self-tuition**: No

**Exclusions**:

### Course description

The Mathematics Life Skills Stage 6 course aligns with the rationale, aim and objectives of the Mathematics Standard Stage 6 course. The Life Skills content has been developed from the Mathematics Standard syllabus to provide opportunities for integrated delivery.

The Mathematics Life Skills Stage 6 course focuses on the development of students’ ability to apply mathematics in a variety of contexts in order to enhance and encourage their participation in post-school contexts.

Students are provided with opportunities to apply mathematical operations to practical situations and develop problem-solving in real-life situations. They develop their practical skills in measurement, calculating with money, statistics and using plans and maps. Students also have the opportunity to explore the concepts of earning and spending money and apply their understanding in a range of financial decision-making contexts.

Study in the Mathematics Life Skills Stage 6 course enhances students’ access to community living, further education, training and employment.

### What students learn

The structure of the Mathematics Life Skills Stage 6 course allows teachers to provide a broad and balanced program that reflects the needs of students within the context of the collaborative curriculum planning process.

The course is organised into the following topics and subtopics:

**Topic: Number and Modelling (Algebra)**

**Topic: Measurement**

**Topic: Financial Mathematics**

**Topic: Statistics and Probability (Statistical analysis)**

**Topic: Plans, Maps and Networks (Networks)**

The Topics provide possible frameworks for addressing the Mathematics Life Skills Stage 6 outcomes and content, and are suggestions only. The course provides flexibility to develop programs appropriate to the needs, strengths, goals, interests and prior learning of students.

### Course requirements

On entering students for the Mathematics Life Skills Stage 6 course, the principal is certifying that the student is eligible and the decision is the result of the collaborative curriculum planning process.

Students are expected to address or achieve one or more of the Mathematics Life Skills Stage 6 outcomes. They need not address or complete all of the content to demonstrate achievement of an outcome.

### RoSA and HSC

## Content Endorsed Courses

### Numeracy

View course

**Content Endorsed Course**

Course number(s):

30130 Numeracy (2 units – Year 11) 30140 Numeracy (2 units – Year 12)**Prerequisites:** Nil

**Co-requisites: **Nil

**Eligibility: **Nil

**Study via self-tuition:** No

**Exclusions**: Nil

It is anticipated that students undertaking Mathematics Advanced or higher courses have already consolidated essential numeracy skills and would not benefit from studying this course.

### Course description

The Numeracy course builds on the knowledge, skills and understanding presented in the K–10 curriculum. It supports students to develop the functional numeracy skills required to become active and successful participants in society.

The *Numeracy Stage 6 CEC Syllabus* is designed to offer opportunities for students to reason numerically and think mathematically. Numerical reasoning and mathematical thinking are supported by an atmosphere of questioning, communicating, reasoning and reflecting and are engendered by opportunities to generalise, challenge, find connections and to think critically and creatively.

The Numeracy course provides opportunities for students to develop 21st-century knowledge, skills, understanding, values and attitudes. As part of this, students are encouraged to learn to use appropriate technology as an effective support for numerical and mathematical activities.

### What students learn

The study of Numeracy in Stage 6 enables students to build on existing numeracy skills and to develop and improve their capability to:

interpret and use numerical information solve problems using visual, spatial, financial and statistical literacy skills think mathematically in practical situations represent and communicate information use the context to determine the reasonableness of solutionsin order to manage situations and solve problems relating to their present and future needs.

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**Module 1:**

**Module 2:**

The Numeracy Year 12 course content comprises 2 modules. The modules are divided into content areas.

**Module 3:**

**Module 4: **

### Course requirements

Nil