Course Description

The course covers every dot point from MA-M1 Modelling Financial Situations in the new NSW Year 12 Mathematics Advanced syllabus. 

The course goes into greater detail than the textbooks, so teachers are more comfortable in their ability to deliver the content. All 106 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. 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.

Each lesson includes a section for Extension Students, that covers work that can help them develop skills and techniques that helps prepare them for content they will cover in the Extension 1 or Extension 2 courses.

The course includes:

  • 106 recorded examples

  • 232 page course handout

  • 106 optional practice questions matching the examples from the course

  • 44 mixed questions, all with fully worked solutions

The remainder of the Year 12 Advanced syllabus is covered in four other courses:

ADV#6 Further Differentiation (MA-C2 Differential Calculus and MA-C3 Applications of Differentiation)

ADV#7 Integration (MA-C4 Integral Calculus) 

ADV#8 Functions and Trigonometric Functions (MA-F2 Graphing Techniques and MA-T3 Trigonometric Functions and Graphs)

ADV#9 Statistics (MA-S2 Descriptive Statistics and Bivariate Data Analysis and MA-S3 Random Variables)


Audience

Mathematics teachers of any experience level who are preparing to teach the new Advanced syllabus.


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

Do you teach in NSW? If so, this is relevant to you:

Completing Year 12 Advanced Mathematics: Financial Mathematics - ADV#10 will contribute 10 hours of NSW Education Standards Authority (NESA) Accredited PD in the priority area of Delivery and Assessment of NSW Curriculum/Early Years Learning Framework, addressing Standard Descriptor 2.1.2 from the Australian Professional Standards for Teachers towards maintaining Proficient Teacher in NSW.

Course curriculum

  • 1

    Introduction

    • Course Administration

    • Introduction to the Mathematics Advanced Year 12 In Depth Series

    • Introduction to In Depth ADV#10
  • 2

    Financial Mathematics

    • Introduction to Financial Mathematics

    • Relevant Parts of the Syllabus
  • 3

    Lesson 1 Terms of an Arithmetic Sequence

    • Lesson Overview

    • Sequences and Series - Definitions

    • Arithmetic Sequences

    • The 𝑛 th Term of an Arithmetic Sequence

    • Discrete Linear Growth or Decay

    • Extension Students

    • Practice Exercises

    • ADV#10 Lesson 1 Quiz
  • 4

    Lesson 2 Sum of an Arithmetic Series

    • Lesson Overview

    • Sum of an Arithmetic Series

    • Arithmetic Series and Discrete Linear Growth or Decay

    • Extension Students

    • Practice Exercises

    • ADV#10 Lesson 2 Quiz
  • 5

    Lesson 3 Terms of a Geometric Sequence

    • Lesson Overview

    • Geometric Sequences

    • The 𝑛 th Term of a Geometric Sequence

    • Discrete Exponential Growth or Decay

    • Extension Students

    • Practice Exercises

    • ADV#10 Lesson 3 Quiz
  • 6

    Lesson 4 Sum of a Geometric Series

    • Lesson Overview

    • Sum of a Geometric Series

    • Extension Students

    • Practice Exercises

    • ADV#10 Lesson 4 Quiz
  • 7

    Lesson 5 Limiting Sum of a Geometric Series

    • Lesson Overview

    • Limiting Sum of a Geometric Series

    • Extension Students

    • Practice Exercises

    • ADV#10 Lesson 5 Quiz
  • 8

    Lesson 6 Simple Interest and Straight Line Depreciation

    • Lesson Overview

    • Simple Interest and Future Value

    • Straight Line Depreciation

    • Extension Students

    • Practice Exercises

    • ADV#10 Lesson 6 Quiz
  • 9

    Lesson 7 Compound Interest and Declining Balance Depreciation

    • Lesson Overview

    • Compound Interest – Background and Tables

    • Compound Interest – Formula

    • Declining Balance Depreciation

    • Extension Students

    • Practice Exercises

    • ADV#10 Lesson 7 Quiz
  • 10

    Lesson 8 Annuities

    • Lesson Overview

    • Annuities – Background and Tables

    • Annuities Using Series

    • Extension Students

    • Practice Exercises

    • ADV#10 Lesson 8 Quiz
  • 11

    Lesson 9 Reducing Balance Loans

    • Lesson Overview

    • Reducing Balance Loans – Background and Tables

    • Reducible Balance Loan Using Series

    • Extension Students

    • Practice Exercises

    • ADV#10 Lesson 9 Quiz
  • 12

    Questions from the HSC

    • Advanced Financial Mathematics in the HSC Exams
  • 13

    Appendix 1: Mixed Revision Exercises

    • Mixed Revision
  • 14

    Conclusion

    • Highlights of Financial Mathematics

    • Conclusion to ADV#10
  • 15

    Course Feedback

    • Copy of Please take few minutes to give us your feedback

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