Course Description

This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach the NSW Mathematics Standard 2017 syllabus. It covers every dot point of MS-F2 Investment and MS-F3 Depreciation and Loans (Standard 1) and MS-F4 Investments and Loans and MS-F5 Annuities (Standard 2).


The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 113 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:

•113 recorded examples
•A total of 40 quiz questions at the end of each lesson
•A 189 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 77 page exercise booklet with 113 optional practice questions matching the examples from the course, with fully worked solutions.


The Year 12 Mathematics Standard 2017 syllabus is covered in five courses. The courses are:

•STD#E Year 12 Algebra covers MS-A3 Types of Relationships (Standard 1) and MS-A4 Types of Relationships (Standard 2)


•STD#F Year 12 Measurement  covers MS-M3 Right-angled Triangles, MS-M4 Rates and MS-M5 Scale Drawings (Standard 1) and MS-M6 Non-right-angled Trigonometry and MS-M7 Rates and Ratios (Standard 2)


•STD#G Year 12 Financial Mathematics (this course) covers MS-F2 Investment and MS-F3 Depreciation and Loans (Standard 1) and MS-F4 Investments and Loans and MS-F5 Annuities  (Standard 2)


•STD#H Year 12 Statistics and Probability covers MS-S3 Further Statistical Analysis (Standard 1) and MS-S4 Bivariate Data Analysis and MS-S5 The Normal Distribution (Standard 2)


•STD#I Year 12 Networks covers MS-N1 Networks and Paths (Standard 1) and MS-N2 Network Concepts and MS-N3 Critical Path Analysis (Standard 2)


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 administration

    • Course information
  • 2

    Part 1: Introduction to the Standard Year 12 In Depth Series

    • Information about the Year 11 and Year 12 series

    • Standard, Standard ◊, Standard 1 and Standard 2

    • Standard 2 and Advanced - Common content
  • 3

    Part 2: How is teaching Standard different?

    • General advice for teaching Standard

    • Hints for student success in Standard
  • 4

    Part 3: Introduction to Year 12 Financial Mathematics - STD#G

    • Overview of Year 12 Financial Mathematics

    • Relevant part of the Standard and Advanced syllabuses

    • Hints for success in Year 11 and Year 12 Financial Mathematics

    • How will Year 12 Financial Mathematics change in the new syllabus?
  • 5

    Part 4: Lessons

    • Overview of the lessons in this course
  • 6

    Lesson 1 - Compound interest and inflation

    • Lesson Overview

    • Interest in Year 11

    • Financial mathematics using spreadsheets and tables

    • Compound interest formula

    • Inflation and appreciation

    • Simple interest versus compound interest

    • Compound interest graphs, tables and recurrence relations

    • Practice Exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 - Interest compounding more than once a year

    • Lesson Overview

    • Understanding interest compounding more than once a year

    • Using the compound interest formula when interest compounds more than once a year

    • Other applications of interest compounding more than once a year

    • Practice Exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 - Shares [Standard 2 only]

    • Lesson Overview

    • Shares

    • Brokerage fees

    • Finding profit or loss from owning shares – no dividends

    • Dividends and dividend yield

    • Finding profit or loss from owning shares – with dividends

    • Practice Exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 - Declining-balance depreciation

    • Lesson Overview

    • Depreciation in Year 11

    • Declining-balance method of depreciation

    • Understanding the declining-balance of depreciation

    • Declining-balance depreciation formula

    • Combining the straight-line and declining-balance methods of depreciation

    • Practice Exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 - Reducing balance loans

    • Lesson Overview

    • Reducing balance loans

    • Understanding the link between the principal, regular repayments and interest paid

    • Understanding the effects of payment frequency, interest rates and total interest

    • Loan repayment tables

    • Calculating the balance owed on the loan

    • Recurrence relations with reducible loans

    • Harder applications

    • Practice Exercises

    • Lesson 5 Quiz
  • 11

    Lesson 6 - Credit cards

    • Lesson Overview

    • Credit cards

    • Calculating interest on credit cards

    • Closing balances and minimum repayments

    • Credit card statements

    • Cost of borrowing money from different sources

    • Practice Exercises

    • Lesson 6 Quiz
  • 12

    Lesson 7 - Annuities [Standard 2 only]

    • Lesson Overview

    • Annuities

    • Annuity tables – future value of an annuity

    • Harder applications

    • Practice Exercises

    • Lesson 7 Quiz
  • 13

    Lesson 8 - Further annuities [Standard 2 only]

    • Lesson Overview

    • Recurrence relations for annuities

    • Present value of an annuity

    • Practice Exercises

    • Lesson 8 Quiz
  • 14

    Part 5: Review of Year 12 Financial Mathematics in the Standard HSC exams

    • Year 12 Financial Mathematics in the Standard 1 and Standard 2 HSCs
  • 15

    Part 6: Feedback and Conclusion

    • Conclusion to STD#G

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