Course Description

This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach Mathematics Standard 11-12 Syllabus (2024). It all the dot points of Formulas and equations and Linear relationships.

The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 117 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:

•117 recorded examples

•A total of 65 quiz questions at the end of each lesson

•A 187 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 117 optional practice questions matching the examples from the course, with fully worked solutions.

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

Standard Course 1 - Year 11  

Formulas and equations

Linear relationships

Standard Course 2 - Year 11  

Earning money

Managing money

Standard Course 3 - Year 11 

Applications of measurement

Time and location

Standard Course 4 - Year 11 

Networks, paths and trees

Standard Course 5 - Year 11 

Data analysis

Standard Course 6 - Year 12 

STD1: Algebraic relationships

STD2: Algebraic relationships

Standard Course 7 - Year 12 

STD1: Investment | Depreciation and loans

STD2: Investment and loans | Annuities

Standard Course 8 - Year 12 

STD1: Right-angled triangles | Ratios and rates

STD2: Trigonometry |   Ratios and rates

Standard Course 9 - Year 12 

STD1: Bivariate data analysis | Relative frequency and probability

STD2: Bivariate data analysis | Relative frequency and probability | The normal distribution

Standard Course 10 - Year 12 

STD1: N/A

STD2: Network flow & Critical path analysis


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 Structure of the Standard Mathematics syllabuses

    • Standard, Standard 1 and Standard 2

    • Content in Standard 1 versus Standard

  • 3

    Part 1b Preparing to teach the 2024 Mathematics syllabuses

    • 2024 Syllabuses

    • Standard scopes and sequences
  • 4

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

    • How is teaching Standard different?

    • General hints for student success in Standard
  • 5

    Part 2a Introduction to Formulas and equations & Linear relationships

    • Summary of the content in this course

    • What has changed from the 2017 syllabus?
  • 6

    Part 2b Lessons

    • List of lessons
  • 7

    Lesson 1 - Substitution

    • Lesson introduction

    • Important skills

    • The order of operations

    • Showing working and practising written answers

    • Substitution

    • Evaluating the subject of a formula

    • Using spreadsheets for calculations

    • Practice Exercises

    • Lesson 1 Quiz
  • 8

    Lesson 2 - Algebraic skills

    • Lesson introduction

    • Collecting like terms

    • Expanding

    • Algebraic fractions

    • Practice Exercises

    • Lesson 2 Quiz
  • 9

    Lesson 3 - Solving linear equations

    • Lesson introduction

    • Background to solving an equation

    • Solving linear equations

    • Practice Exercises

    • Lesson 3 Quiz
  • 10

    Lesson 4 - Distance, speed and time

    • Lesson introduction

    • Understanding speed

    • Converting speed to different units

    • Distance, speed and time

    • Practice Exercises

    • Lesson 4 Quiz
  • 11

    Lesson 5 - Stopping distances

    • Lesson introduction

    • Stopping distance

    • Reaction distance

    • Braking distance

    • Total stopping distance

    • Using spreadsheets to evaluate formula

    • Practice Exercises

    • Lesson 5 Quiz
  • 12

    Lesson 6 - Blood alcohol content

    • Lesson introduction

    • Estimating blood alcohol content

    • Drop in blood alcohol content

    • Using spreadsheets for calculations

    • Practice Exercises

    • Lesson 6 Quiz
  • 13

    Lesson 7 - Medication dosages

    • Lesson introduction

    • Medication dosages

    • Fried’s formula

    • Young’s formula

    • Clark’s formula

    • Harder examples

    • Practice Exercises

    • Lesson 7 Quiz
  • 14

    Lesson 8 - Developing linear equations

    • Lesson introduction

    • Creating and solving equations from worded descriptions

    • Practice Exercises

    • Lesson 8 Quiz
  • 15

    Lesson 9 - Changing the subject

    • Lesson introduction

    • Evaluating a term that is not the subject of the formula

    • Changing the subject

    • Practice Exercises

    • Lesson 9 Quiz
  • 16

    Lesson 10 - Linear relationships I

    • Lesson introduction

    • Recognising linear relationships

    • Gradient of a line

    • Gradient without a graph

    • Gradient-intercept form of a line

    • Graphing a line given two pieces of information

    • Practice Exercises

    • Lesson 10 Quiz
  • 17

    Lesson 11 - Linear relationships II

    • Lesson introduction

    • Gradient-intercept form

    • Finding the intercepts

    • Finding two points on a line

    • Graphing lines without hints

    • Application of gradient

    • Practice Exercises

    • Lesson 11 Quiz
  • 18

    Lesson 12 - Linear modelling

    • Lesson introduction

    • Understanding linear relationships in worded questions

    • Using linear models and understanding their limitations

    • Using spreadsheets to model linear relationships

    • Practice Exercises

    • Lesson 12 Quiz
  • 19

    Lesson 13 - Direct variation

    • Lesson introduction

    • Direct variation

    • Creating an equation for direct variation

    • Direct variation without an equation

    • Direct variation with an equation

    • Currency conversion graphs

    • Practice Exercises

    • Lesson 13 Quiz
  • 20

    Conclusion

    • Conclusion

  • 21

    Course Feedback

    • Course Feedback

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