Course Description

This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach Mathematics Advanced 11-12 Syllabus (2024). It covers half of the dot points of Working with functions.
The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 119 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:
•119 recorded examples
•A total of 55 quiz questions at the end of each lesson
•A 186 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 34 page exercise booklet with 119 optional practice questions matching the examples from the course, with fully worked solutions.

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


Advanced Course 1 - Year 11   Working with functions (Part A)
Advanced Course 2 - Year 11  Working with functions (Part B)
Advanced Course 3 - Year 11  Trigonometry and measure of angles | Trigonometric identities and equations
Advanced Course 4 - Year 11  Introduction to differentiation
Advanced Course 5 - Year 11  Exponential and logarithmic functions | Graph transformations
Advanced Course 6 - Year 11  Probability and data
Advanced Course 7 - Year 12  Further graph transformations and modelling
Advanced Course 8 - Year 12  Sequences and series | Financial mathematics
Advanced Course 9 - Year 12 Differential calculus | Integral calculus
Advanced Course 10 - Year 12 Applications of calculus
Advanced Course 11 - Year 12  Random variables


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

    • Advanced scopes and sequences
  • 3

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

    • How is teaching Advanced different to teaching Standard?

    • General hints for student success in Advanced
  • 4

    Part 2a Introduction to Working with functions (Part A)

    • Summary of the content in this course

    • What has changed from the 2017 syllabus?
  • 5

    Part 2b Lessons

    • List of lessons
  • 6

    Lesson 1 - Basic index laws

    • Lesson introduction

    • Indices

    • Index laws

    • Extension students

    • Practice exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 - Negative, fractional & combined index laws

    • Lesson introduction

    • Negative and fractional indices

    • Further index laws

    • Extension students

    • Practice exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 - Basic algebraic skills

    • Lesson introduction

    • Simplifying terms

    • Collecting like terms

    • Expanding

    • Factorising

    • Extension students

    • Practice exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 - Basic surds

    • Lesson introduction

    • Surds

    • Surd rules

    • Simplifying surds

    • Adding or subtracting surds

    • Extension students

    • Practice exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 - Rationalising the denominator

    • Lesson introduction

    • Rationalising the denominator

    • Rationalising the denominator with a single term

    • Conjugates

    • Rationalising the denominator with two terms

    • Extension students

    • Practice Exercises

    • Lesson 5 Quiz
  • 11

    Lesson 6 – Solving quadratic equations by factorising

    • Lesson introduction

    • Quadratic equations

    • Solving quadratic equations by factorising

    • Factorising monic trinomials

    • Factorising non-monic trinomials - PSF method

    • Extension students

    • Practice exercises

    • Lesson 6 Quiz
  • 12

    Lesson 7 - Completing the square, the quadratic formula and the discriminant

    • Lesson introduction

    • Completing the square

    • Solving quadratic equations using the quadratic formula

    • The discriminant

    • Extension students

    • Practice exercises

    • Lesson 7 Quiz
  • 13

    Lesson 8 - Algebraic fractions

    • Lesson introduction

    • Algebraic fractions

    • Operations with algebraic fractions

    • Extension students

    • Practice exercises

    • Lesson 8 Quiz
  • 14

    Lesson 9 - Relations and functions

    • Lesson introduction

    • Introduction to relations and functions

    • Dependent and Independent Variables

    • Function Notation

    • Graphing Functions

    • Extension students

    • Practice Exercises

    • Lesson 9 Quiz - insert L8 Quiz too
  • 15

    Lesson 10 - Domain and range; odd and even functions

    • Lesson introduction

    • Interval notation

    • Domain and range

    • Odd and even functions

    • Extension students

    • Practice exercises

    • Lesson 10 Quiz
  • 16

    Lesson 11 - Composite functions

    • Lesson introduction

    • Composite functions

    • Domain and range of composite functions

    • Extension students

    • Practice exercises

    • Lesson 11 Quiz
  • 17

    Appendix: Alternative methods for factorising non-monic trinomials

    • Appendix introduction

    • The magic method

    • The cross method
  • 18

    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.