Course Description

This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach Mathematics Standard 11-12 Syllabus (2024). It covers all of the dot points of Standard 1 Algebraic relationships and Standard 2 Algebraic relationships from the Mathematics Standard 11-12 Syllabus (2024).

The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 78 examples have been recorded, so that you can watch an experienced maths teacher talk through the examples and any important points to note.

New and existing content is explored in detail, including interesting and more efficient techniques that experienced teachers may not have seen before. Important points to be covered with students are noted, and the limits of the syllabus are discussed. 


The course includes: 

• 78 recorded examples 

• A total of 35 quiz questions at the end of each lesson 

• A 169 page course handout in two formats – one with blank space for you to complete the examples and a second with completed solutions to the examples. 

• A 100 page exercise booklet with 78 optional practice questions matching the examples from the course, with fully worked solutions. 


The Mathematics Standard 11-12 Syllabus (2024) will be covered in ten courses. The courses are: 


Standard Course 1 - Year 11  

Formulas and equations

Linear relationships

Standard Course 2 - Year 11  

Earning money

Managing money

Standard Course 3 - Year 11 

Applications of measurement

Time and location

Standard Course 4 - Year 11 

Networks, paths and trees

Standard Course 5 - Year 11 

Data analysis

Standard Course 6 - Year 12 

STD1: Algebraic relationships

STD2: Algebraic relationships

Standard Course 7 - Year 12 

STD1: Investment | Depreciation and loans

STD2: Investment and loans | Annuities

Standard Course 8 - Year 12 

STD1: Right-angled triangles | Ratios and rates

STD2: Trigonometry |   Ratios and rates

Standard Course 9 - Year 12 

STD1: Bivariate data analysis | Relative frequency and probability

STD2: Bivariate data analysis | Relative frequency and probability | The normal distribution

Standard Course 10 - Year 12 

STD1: N/A

STD2: Network flow & Critical path analysis


Audience

Mathematics teachers of any experience level who are preparing to teach the new Advanced syllabus.


Teaching Standards

2.1.2 Proficient Level - Know the content and how to teach it - Content and teaching strategies of the teaching area: Apply knowledge of the content and teaching strategies of the teaching area to develop engaging teaching activities

Course curriculum

  • 1

    Course information

    • Course information and introduction
  • 2

    Part 1a Structure of the Standard Mathematics syllabuses

    • Standard, Standard 1 and Standard 2

    • Content in Standard 1 versus Standard

  • 3

    Part 1b Preparing to teach the 2024 Mathematics syllabuses

    • 2024 Syllabuses

    • Standard scopes and sequences
  • 4

    Part 1c How is teaching Advanced different to teaching Standard?

    • How is teaching Standard different?

    • General hints for student success in Standard
  • 5

    Part 2a Introduction to Algebraic relationships

    • Summary of the content in this course

    • What has changed from the 2017 syllabus?

  • 6

    Part 2b Lessons

    • List of lessons

  • 7

    Lesson 1 – Simultaneous equations I (solved graphically without equations)

    • Lesson introduction

    • Solving simultaneous equations graphically without an equation

    • Practice exercises

    • Lesson 1 Quiz
  • 8

    Lesson 2 – Simultaneous equations II (solved graphically using equations)

    • Lesson introduction

    • Finding the gradient, vertical intercept and equation of a line

    • Developing simultaneous equations from descriptions

    • Graphing a line given its equation

    • Combining skills

    • Practice exercises

    • Lesson 2 Quiz
  • 9

    Lesson 3 – Simultaneous equations III (solved algebraically)

    • Lesson introduction

    • Substitution method

    • Elimination method

    • Practice exercises

    • Lesson 3 Quiz
  • 10

    Lesson 4 – Graphs from a description & Linear versus exponential

    • Lesson introduction

    • Sketching the depth of water in a container against time

    • Graphs of other practical situations

    • Linear and exponential graphs

    • Practice exercises

    • Lesson 4 Quiz
  • 11

    Lesson 5 – Exponential relationships

    • Lesson introduction

    • Exponential modelling in Standard 2

    • Exponential curves

    • Equations and graphs of exponential growth or decay

    • Graphing exponential curves

    • Working with exponential equations

    • Practice exercises

    • Lesson 5 Quiz
  • 12

    Lesson 6 – Quadratic relationships (parabolas)

    • Lesson introduction

    • Quadratic relationships (parabolas) in Standard 2

    • The parabola

    • Graphing parabolas

    • Finding the vertex

    • Recognising simple parabolas

    • Practice exercises

    • Lesson 6 Quiz
  • 13

    Lesson 7 – Reciprocal relationships (hyperbolas)

    • Lesson introduction

    • Reciprocal relationships (hyperbolas)

    • Sketching hyperbolas

    • Graphing hyperbolas

    • Creating an equation linking the two variables

    • Recognising sketches of exponential curves, parabolas and hyperbolas

    • Practice exercises

    • Lesson 7 Quiz
  • 14

    Conclusion

    • Conclusion
  • 15

    Course Feedback

    • Course Feedback

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