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 covers all of the dot points of Applications of measurement and Time and location.


The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 85 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:

•85 recorded examples

•A total of 50 quiz questions at the end of each lesson

•A 214 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 49 page exercise booklet with 85 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 Applications of measurement & Time and location

    • Summary of the content in this course

    • What has changed from the 2017 syllabus?
  • 6

    Part 2b Lessons

    • List of lessons
  • 7

    Lesson 1 - Significant figures and scientific notation

    • Lesson introduction

    • Significant figures

    • Scientific notation (standard form)

    • Metric prefixes

    • Practice exercises

    • Lesson 1 Quiz
  • 8

    Lesson 2 - Metric units of measurement

    • Lesson introduction

    • Metric units of measurement

    • Practice exercises

    • Lesson 2 Quiz
  • 9

    Lesson 3 - Perimeter

    • Lesson introduction

    • Perimeter of common quadrilaterals

    • Circumference of circles and perimeters of semicircles and sectors

    • Perimeter of right-angled triangles

    • Perimeter of composite shapes

    • Practice exercises

    • Lesson 3 Quiz
  • 10

    Lesson 4 - Area

    • Lesson introduction

    • Area of triangles and common quadrilaterals

    • Area of circles and sectors

    • Area of composite shapes

    • Practice exercises

    • Lesson 4 Quiz
  • 11

    Lesson 5 - Surface area

    • Lesson introduction

    • Sketching three dimensional solids

    • Surface areas of prisms and cylinders

    • Surface areas of spheres and hemispheres

    • Surface areas of composite solids

    • Practice exercises

    • Lesson 5 Quiz
  • 12

    Lesson 6 - Volume and capacity

    • Lesson introduction

    • Volume and capacity of prisms and cylinders

    • Volume and capacity of pyramids and cones

    • Volume and capacity of spheres and hemispheres

    • Volume and capacity of composite solids

    • Practice exercises

    • Lesson 6 Quiz
  • 13

    Lesson 7 - Trapezoidal rule

    • Lesson introduction

    • Exact perimeter and area of shapes that can be divided into regular shapes

    • Estimating area using the trapezoidal rule

    • Estimating volume and capacity using the trapezoidal rule

    • Practice exercises

    • Lesson 7 Quiz
  • 14

    Lesson 8 - Latitude and longitude

    • Lesson introduction

    • Positions on the Earth’s surface

    • Time around the world

    • Practice exercises

    • Lesson 8 Quiz
  • 15

    Lesson 9 - Working with time and time zones

    • Lesson introduction

    • Using 12-hour and 24-hour time

    • Calculate time intervals

    • Time zones in Australia

    • Daylight savings within Australia

    • Practice exercises

    • Lesson 9 Quiz
  • 16

    Lesson 10 - UTC

    • Lesson introduction

    • Times around the world using UTC

    • Daylight savings and times using UTC

    • Flights and UTC time zones

    • Practice exercises

    • Lesson 10 Quiz
  • 17

    Conclusion

    • Conclusion
  • 18

    Course Feedback

    • Course Feedback

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