Course Description

This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach the new NSW Mathematics Extension 2 syllabus.

The course goes into greater detail than the textbooks, so that teachers can become more comfortable in their ability to deliver the content. All 56 examples have been recorded, so that you can watch an experienced maths teacher talk through the examples and any important points to note.

Most examples in this course have multiple parts, so there are fewer examples than in the other courses in the series.

Ext2#4 covers Mechanics (MEX-M1). 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. As more detail on the syllabus is released by NESA any changes required will be made. Also included are related skills that are beyond the syllabus that you can use to extend more capable students.

The course includes:

  • 56 recorded examples
  • 177 page course handout
  • 56 optional practice questions matching the examples from the course, with fully worked solutions.

A suggested scope and sequence for Year 12 Advanced, Extension 1 and Extension 2 for combined classes is provided, plus a lesson by lesson breakdown of the Advanced, Extension 1 and Extension 2 courses for Year 11 and 12 to help you create your own scope and sequences.



Mathematics teachers who are preparing to teach the new Extension 2 syllabus. This course is suitable for teachers with any level of previous experience.

Do you teach in NSW? If so, this is relevant to you:

Completing Mathematics Extension 2: Mechanics - EXT2#4 will contribute 10 hours of NSW Education Standards Authority (NESA) Accredited PD in the priority area of Delivery and assessment of NSW Curriculum/Early Years Learning Framework addressing standard descriptors 2.1.2 from the Australian Professional Standards for Teachers towards maintaining Proficient Teacher Accreditation in NSW.


Course curriculum

  • 1


    • Course Administration

    • Introduction to the Mathematics Extension 2 In Depth Series

    • Introduction to Part IV

  • 2


    • Introduction to Mechanics

    • Relevant Parts of the Syllabus

  • 3

    Mechanics 1 - Motion in a Straight Line

    • Lesson Overview

    • Calculus in Mechanics

    • Graphing Displacement, Velocity and Time

    • Motion as a Function of Displacement or Velocity

    • Velocity, Displacement and Time

    • A Note on Integration

    • Acceleration and Velocity

    • Lesson 1 Quiz

  • 4

    Mechanics 2 - Motion Without Resistance

    • Lesson Overview

    • Further Motion in a Straight Line

    • Newton's Laws

    • Gravity

    • Lesson 2 Quiz

  • 5

    Mechanics 3 - Simple Harmonic Motion

    • Lesson Overview

    • Understanding Simple Harmonic Motion

    • Terminology and Definitions

    • Equations of Motion

    • Graphs of SHM

    • Lesson 3 Quiz

  • 6

    Mechanics 4 - Harder Simple Harmonic Motion

    • Lesson Overview

    • Alternative Equations of Motion

    • Velocity as a Function of Displacement

    • Lesson 4 Quiz

  • 7

    Mechanics 5 - Horizontal Resisted Motion

    • Lesson Overview

    • Resisted Motion - Horizontal

    • Resistance and How it is Modelled

    • Equations of Motion

    • Lesson 5 Quiz

  • 8

    Mechanics 6 - Vertical Resisted Motion

    • Lesson Overview

    • Vertical Resisted Motion

    • Terminal Velocity

    • Lesson 6 Quiz

  • 9

    Mechanics 7 - Further Projectile Motion - Cartesian Equations

    • Lesson Overview

    • Cartesian Equations

    • Cartesian Equations in Extension 2

    • Harder Projectile Motion

    • Lesson 7 Quiz

  • 10

    Mechanics 8 - Projectile Motion with Resistance

    • Lesson Overview

    • Projectile Motion with Resistance

    • Particles that Rise then Fall

    • Resisted Motion at an Angle to the Horizontal

    • Lesson 8 Quiz

  • 11


    • Highlights of Mechanics

    • Conclusion to Part IV

    • Course Feedback


Steve Howard

Steve Howard

Steve Howard has inspired and equipped hundreds of Maths teachers with his In-Depth Senior Mathematics courses, providing all the tips, examples and resources to teach the HSC syllabus with confidence. He loves to discover the most efficient techniques for solving mathematical problems, by analysing other experts' solutions or by developing his own approaches when he finds a better way. As a student, Steve did Unit 4 Mathematics, gaining a mark of 198/200, before training as an actuary. After retraining as a teacher, Steve has taught Maths at Cowra High School, NSW, for 28 years. He has also taught gifted and talented students online through Xsel and Aurora College, and developed all student course material for TTA's Year 12 Extension Maths Portal.

Other Courses by Steve Howard

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