Course Description

This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach Mathematics Extension 1 11-12 Syllabus (2024). It covers all of the dot points in Introduction to vectors.


The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 98 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:
  • 98 recorded examples
  • A total of 35 quiz questions at the end of each lesson
  • A 195 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 39 page exercise booklet with 98 optional practice questions matching the examples from the course, with fully worked solutions.


The Mathematics Extension 1 11-12 Syllabus (2024) will be covered in seven courses. The courses are:

Extension 1 Course 1 - Year 11 

Permutations and combinations

The binomial theorem

Extension 1 Course 2 - Year 11

Polynomials

Further work with functions

Extension 1 Course 3 - Year 11

Further trigonometry

Extension 1 Course 4 - Year 12

Proof by mathematical induction

Inverse trigonometric functions

Extension 1 Course 5 - Year 12

Introduction to vectors

Extension 1 Course 6 - Year 12

Further calculus skills

Further applications of calculus

Extension 1 Course 7 - Year 12

The binomial distribution and sampling
Distribution of the mean


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 Preparing to teach the 2024 Mathematics syllabuses

    • 2024 Syllabuses

    • Extension 1 scopes and sequences
  • 3

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

    • How is teaching Extension 1 different to teaching Advanced?

    • General hints for student success in Extension 1
  • 4

    Part 2a Introduction to vectors

    • Summary of the content in this course

    • What has changed from the 2017 syllabus?

  • 5

    Part 2b Lessons

    • List of lessons

  • 6

    Lesson 1 – Vector representation and notation

    • Lesson introduction

    • Introduction to vectors

    • Adding, subtracting and splitting vectors

    • Typing vectors in Microsoft Office

    • Practice exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 – Vectors in 2D and 3D space

    • Lesson introduction

    • Vectors on the Cartesian plane and in Cartesian space

    • Addition, subtraction and scalar multiplication of vectors

    • Magnitude of vectors

    • Unit vectors

    • Vectors and graphing applications

    • Practice exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 – Scalar product

    • Lesson introduction

    • Scalar (dot) product

    • Angle between two vectors

    • Vector projection

    • Practice exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 – Motion in 2D

    • Lesson introduction

    • Position using 2D vectors and displacement vectors

    • Cross-wind and cross-current problems

    • Differentiating vectors

    • Integrating vectors

    • Practice exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 – Introduction to projectile motion

    • Lesson introduction

    • Introduction to projectile motion

    • Projectile motion without air resistance

    • Equations of motion

    • Practice exercises

    • Lesson 5 Quiz
  • 11

    Lesson 6 – Features of the flight in projectile motion

    • Lesson introduction

    • Features of the flight of a projectile

    • Harder examples involving features of flight

    • Practice exercises

    • Lesson 6 Quiz
  • 12

    Lesson 7 – Introduction to projectile motion

    • Lesson introduction

    • Cartesian equations of projectile motion

    • Practice exercises

    • Lesson 7 Quiz
  • 13

    Conclusion

    • Conclusion
  • 14

    Course Feedback

    • Course Feedback

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