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 Sequences and series & Financial mathematics.


The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content.Β AllΒ 159Β examples have been recorded, so that you can watch an experiencedΒ mathsΒ 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:

  • 159 recorded examples
  • A total of 45 quiz questions at the end of each lesson
  • A 194 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 46 page exercise booklet with 159 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 Β  Working with functions (Part A)
Advanced Course 2 - Year 11Β Β  Working with functions (Part B)
Advanced Course 3 - Year 11Β  Trigonometry and measure of angles | Trigonometric identities and equations
Advanced Course 4 - Year 11Β  Introduction to differentiation
Advanced Course 5 - Year 11Β  Exponential and logarithmic functions | Graph transformations
Advanced Course 6 - Year 11Β  Probability and data
Advanced Course 7 - Year 12Β  Further graph transformations and modelling
Advanced Course 8 - Year 12Β  Sequences and series | Financial mathematics
Advanced Course 9 - Year 12Β  Differential calculus | Integral calculus
Advanced Course 10 - Year 12Β  Applications of calculus
Advanced Course 11 - Year 12Β  Random variables


Audience

This course is suitable for teachers with any level of previous experience.


Teaching Standards

2.1.2 Proficient LevelΒ - Know the content and how to teach it - Content and teaching strategies of the teaching area: Β 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 Sequences and series & Financial mathematics

    • Summary of the content in this course

    • What has changed from the 2017 syllabus?

  • 5

    Part 2b Lessons

    • List of lessons

  • 6

    Lesson 1 - Terms of an arithmetic sequence

    • Lesson introduction

    • Sequences and series - definitions

    • Arithmetic sequences

    • The 𝑛th term of an arithmetic sequence

    • Arithmetic sequences and discrete linear growth or decay

    • Extension students

    • Practice exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 - Sum of an arithmetic series

    • Lesson introduction

    • Sum of an arithmetic series

    • Arithmetic series and discrete linear growth or decay

    • Extension students

    • Practice exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 - Terms of a geometric sequence

    • Lesson introduction

    • Geometric sequences

    • The 𝑛th term of a geometric sequence

    • Geometric sequences and discrete exponential growth or decay

    • Extension students

    • Practice exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 - Sum of a geometric series

    • Lesson introduction

    • Sum of a geometric series

    • Geometric series and discrete linear growth or decay

    • Extension students

    • Practice exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 - Limiting sum of a geometric series

    • Lesson introduction

    • Limiting sum of a geometric series

    • Limiting sums and discrete exponential decay

    • Extension students

    • Practice exercises

    • Lesson 5 Quiz
  • 11

    Lesson 6 - Simple interest

    • Lesson introduction

    • Simple interest

    • Straight-line depreciation

    • Extension students

    • Practice exercises

    • Lesson 6 Quiz
  • 12

    Lesson 7 - Compound interest

    • Lesson introduction

    • Compound interest – background and tables

    • Compound interest – formula

    • Declining-balance depreciation

    • Extension students

    • Practice exercises

    • Lesson 7 Quiz
  • 13

    Lesson 8 - Annuities

    • Lesson introduction

    • Annuities – background and tables

    • Annuities using sequences and series

    • Extension students

    • Practice exercises

    • Lesson 8 Quiz
  • 14

    Lesson 9 - Reducing balance loans

    • Lesson introduction

    • Reducing balance loans – background and tables

    • Reducible balance loan using sequences and series

    • Extension students

    • Practice exercises

    • Lesson 9 Quiz
  • 15

    Conclusion

    • Conclusion
  • 16

    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.

  • 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.