Course Description

This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach Mathematics Extension 1 11-12 Syllabus (2024). It covers all of the dot points in Further trigonometry.

The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 63 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:
  • 63 recorded examples
  • A total of 25 quiz questions at the end of each lesson
  • A 140 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 30 page exercise booklet with 63 optional practice questions matching the examples from the course, with fully worked solutions.


The Mathematics Extension 1 11-12 Syllabus (2024) will be covered in seven courses. The courses are:

Extension 1 Course 1 - Year 11 

Permutations and combinations

The binomial theorem

Extension 1 Course 2 - Year 11

Polynomials

Further work with functions

Extension 1 Course 3 - Year 11

Further trigonometry

Extension 1 Course 4 - Year 12

Proof by mathematical induction

Inverse trigonometric functions

Extension 1 Course 5 - Year 12

Introduction to vectors

Extension 1 Course 6 - Year 12

Further calculus skills

Further applications of calculus

Extension 1 Course 7 - Year 12

The binomial distribution and sampling
Distribution of the mean


Audience

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

Course curriculum

  • 1

    Course information

    • Course information and introduction
  • 2

    Part 1a Preparing to teach the 2024 Mathematics syllabuses

    • 2024 Syllabuses

    • Extension 1 scopes and sequences
  • 3

    Part 1b How is teaching Extension 1 different to teaching Advanced?

    • How is teaching Extension 1 different to teaching Advanced?

    • General hints for student success in Extension 1
  • 4

    Part 2a Introduction to Further trigonometry

    • Summary of the content in this course

    • What has changed from the 2017 syllabus?
  • 5

    Part 2b Lessons

    • List of lessons
  • 6

    Lesson 1 - 3D trigonometry

    • Lesson introduction

    • Trigonometry in 3 dimensions

    • Right-angled trigonometry and Pythagoras’ theorem in 3D

    • Non-right-angled trigonometry in 3D

    • Practice exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 - Sum and difference expansion formulas

    • Lesson introduction

    • Sum and difference expansion formulas

    • Practice exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 - Double angle formulas

    • Lesson introduction

    • Double angle formulas

    • Practice exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 - Auxiliary angle method

    • Lesson introduction

    • Auxiliary angle method

    • Auxiliary angle - full method

    • Auxiliary angle - shortcut method

    • Practice exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 - Further trigonometric equations

    • Lesson introduction

    • Solving trigonometric equations using factorisation

    • Substitution of trigonometric identities

    • Miscellaneous trigonometric equations

    • Practice exercises

    • Lesson 5 Quiz
  • 11

    Conclusion

    • Conclusion

Features of TTA Online PD

  • Availabilty

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

  • 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.