Course Description

This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach the Mathematics Advanced 11-12 Syllabus (2024). It covers all of the dot points from Exponential and logarithmic functions & Graph transformations.


The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 136 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:

•136 recorded examples

•A total of 55 quiz questions at the end of each lesson

•A 236 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 64 page exercise booklet with 136 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 Exponential and logarithmic functions & Graph transformations

    • Summary of the content in this course

    • What has changed from the 2017 syllabus?

  • 5

    Part 2b Lessons

    • List of lessons

  • 6

    Lesson 1 - Introduction to logarithms

    • Lesson introduction

    • Exponents, roots and logarithms

    • Exponent and logarithm forms

    • Evaluating logarithms

    • Solving logarithmic equations

    • Exponentials and logarithms as inverse operations

    • Extension students

    • Practice exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 - Graphing exponential and logarithmic functions

    • Lesson introduction

    • Graphing exponential functions

    • Graphing logarithmic functions

    • Extension students

    • Practice exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 - Basic logarithm laws

    • Lesson introduction

    • Logarithm laws

    • Solving logarithmic equations using the logarithm laws

    • Extension students

    • Practice exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 - Further logarithm laws

    • Lesson introduction

    • Further logarithm laws

    • Change of base formula

    • Solving exponential equations

    • Extension students

    • Practice exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 - Euler’s number

    • Lesson introduction

    • Understanding Euler’s number

    • Gradient of exponential functions

    • Extension students

    • Practice exercises

    • Lesson 5 Quiz
  • 11

    Lesson 6 - Natural logarithms

    • Lesson introduction

    • Natural logarithms

    • Extension students

    • Practice exercises

    • Lesson 6 Quiz
  • 12

    Lesson 7 - Vertical and horizontal translations

    • Lesson introduction

    • An introduction to transformations

    • Using inverse functions to find the transformed function

    • Translations

    • Extension students

    • Practice exercises

    • Lesson 7 Quiz
  • 13

    Lesson 8 - Vertical dilations and reflections

    • Lesson introduction

    • Vertical dilations and vertical reflections

    • Extension students

    • Practice exercises

    • Lesson 8 Quiz
  • 14

    Lesson 9 - Horizontal dilations and reflections

    • Lesson introduction

    • Horizontal dilations and vertical reflections

    • Enlargements and reductions

    • Extension students

    • Practice exercises

    • Lesson 9 Quiz
  • 15

    Lesson 10 - Combining transformations

    • Lesson introduction

    • Combining transformations

    • Extension students

    • Practice exercises

    • Lesson 10 Quiz
  • 16

    Lesson 11 - Circles, semicircles and ellipses

    • Lesson introduction

    • Circles with centres not at the origin

    • Semicircles with centres not at the origin

    • Ellipses

    • Extension students

    • Practice exercises

    • Lesson 11 Quiz
  • 17

    Conclusion

    • Conclusion
  • 18

    Course Feedback

    • Course Feedback

Features of TTA Online PD

  • Availabilty

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

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