Mathematics standard 1 & 2

Board Developed Course

Course number(s):

• 11236 Mathematics Standard (2 units – Year 11)
• 15231 Mathematics Standard 1 (2 units – Year 12)

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:

• Area and surface area
• Financial mathematics
• Linear relationships
• Non-linear relationships
• Right-angled triangles (Trigonometry)
• Single variable data analysis
• Volume
• some content from Equations
• some content from Probability.

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 precisely
• provides 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 needs
• provides an appropriate mathematical background for students entering the workforce and/or undertaking further community and workplace training.

Year 11 course

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

Topic: Algebra

• Formulae and Equations
• Linear Relationships

Topic: Measurement

• Applications of Measurement
• Working with Time

Topic: Financial Mathematics

• Money Matters

Topic: Statistical Analysis

• Data Analysis
• Relative Frequency and Probability

Year 12 course

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

• Types of Relationships

Topic: Measurement

• Right-angled Triangles
• Rates
• Scale Drawings

Topic: Financial Mathematics

• Investment
• Depreciation and Loans

Topic: Statistical Analysis

• Further Statistical Analysis

Topic: Networks

• Networks and Paths

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:

• Area and surface area
• Financial mathematics
• Linear relationships
• Non-linear relationships
• Right-angled triangles (Trigonometry)
• Single variable data analysis
• Volume
• some content from Equations
• some content from Probability.

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 precisely
• provides 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 needs
• provides opportunities for students to develop an understanding of and skills in further aspects of mathematics for concurrent HSC studies
• provides an appropriate mathematical background for students entering the workforce or undertaking further tertiary training.

Year 11 course

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

Topic: Algebra

• Formulae and Equations
• Linear Relationships

Topic: Measurement

• Applications of Measurement
• Working with Time

Topic: Financial Mathematics

• Money Matters

Topic: Statistical Analysis

• Data Analysis
• Relative Frequency and Probability

Year 12 course

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

Topic: Algebra

• Types of Relationships

Topic: Measurement

• Non-right-angled Trigonometry
• Rates and Ratios

Topic: Financial Mathematics

• Investments and Loans
• Annuities

Topic: Statistical Analysis

• Bivariate Data Analysis
• The Normal Distribution

Topic: Networks

• Network Concepts
• Critical Path Analysis