General Description

I created this course to provide 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 teachers are 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.

Part IV 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, with a 177 page course handout including 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.


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,

6.2.2 Proficient Level - Engage in Professional Learning - Engage in professional learning and improve practice:   Participate in learning to update knowledge and practice targeted to professional needs and school and/or system priorities


Are you in NSW? If so, this is relevant for you

Completing “Mathematics Extension 2: In Depth Part IV - Mechanics” before 4th February 2022 under NESA’s interim arrangements will contribute 10 hours of NSW Education Standards Authority (NESA) Accredited PD in the priority area of Delivery and assessment of NSW curriculum addressing standard descriptors  2.1.2, 6.2.2 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

Features of TTA Online PD

  • Availability

    Online courses are available 24/7. Designed to be done in your own time at your own pace.

  • Team Online

    All online courses are available for team purchase. Unlimited teachers from the one Campus for any course for $990 + GST

  • Money back Guarantee

    If you complete less than 25% of an online course and aren't completely satisfied, let us know, and we will cancel your enrolment and provide a full refund.