General Description

The course is the second of two that cover every dot point from MA-F1 Working with Functions the new NSW Year 11 Mathematics Advanced syllabus. The second covers parts of F1.2: Introduction to functions and F1.3: Linear, quadratic and cubic functions, and all of F1.4: Further functions and relations. The course goes into greater detail than the textbooks, so teachers are more comfortable in their ability to deliver the content. All 130 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 130 recorded examples, with a 300 page course handout. There are also 130 optional practice questions matching the examples from the course, and another exercise of 73 mixed questions, all with fully worked solutions. 

The Year 11 Advanced syllabus is covered in a total of five courses: 

ADV#1 and ADV#2 cover MA-F1 Working with Functions. 

ADV#3 will cover MA-T1 Trigonometry and Measure of Angles and MA-T2 Trigonometric Functions and Identities 

ADV#4 will cover MA-C1 Introduction to Differentiation. 

ADV#5 will cover MA-E1 Logarithms and Exponentials and MA-S1 Probability and Discrete Probability Distributions

 

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, 

6.2.2 Proficient Level - Engage in Professional Learning - Engage in professional learning and improve practice: Participate in learning to update knowledge and practice targeted to professional needs and school and/or system priorities.

 

Are you in NSW? If so, this is relevant for you

This course may contribute towards Elective PD hours. Visit https://educationstandards.nsw.edu.au for more details.

 

Course curriculum

  • 1

    Introduction

    • Course Administration

    • Introduction to the Mathematics Advanced Year 11 In Depth Series

    • Introduction to In Depth ADV#2

  • 2

    Functions

    • Introduction to Functions

    • Relevant Parts of the Syllabus

  • 3

    Lesson 1 - Simple Transformations

    • Overview

    • Simple Transformations

    • Vertical versus Horizontal Transformations

    • Translations

    • Dilations

    • Reflections

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 1 Quiz

  • 4

    Lesson 2 - Combining Transformations

    • Overview

    • Combining Transformations

    • One vertical and one horizontal transformation

    • Two vertical transformations

    • Two vertical and one horizontal transformations

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 2 Quiz

  • 5

    Lesson 3 - Quadratic Functions I

    • Overview

    • Quadratic Functions - Algebraically

    • Quadratic Functions - Geometrically

    • Sketching Parabolas

    • Finding the Equation of a Parabola

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 3 Quiz

  • 6

    Lesson 4 - Quadratic Functions II

    • Overview

    • The Discriminant

    • The Discriminant and the Number of 𝑥-intercepts

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 4 Quiz

  • 7

    Lesson 5 - Simultaneous Equations

    • Overview

    • Simultaneous Equations

    • Simultaneous Equations – graphical solution

    • Simultaneous Equations – algebraic solution

    • Extension Students

    • Practice Students

    • ADV#2 Lesson 5 Quiz

  • 8

    Lesson 6 - Cubic Functions

    • Overview

    • Geometric Forms of Cubic Functions

    • Algebraic Forms of Cubic Functions

    • Sketching Cubic Curves

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 6 Quiz

  • 9

    Lesson 7 - Polynomials

    • Overview

    • Polynomial Definitions

    • Sketching Polynomials

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 7 Quiz

  • 10

    Lesson 8 - Hyperbolas

    • Overview

    • Inverse Variation

    • Rectangular Hyperbolas

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 8 Quiz

  • 11

    Lesson 9 - Absolute Values I

    • Overview

    • Absolute Values

    • Sketching Absolute Value Functions

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 9 Quiz

  • 12

    Lesson 10 - Absolute Values II

    • Overview

    • Solving Absolute Value Equations

    • Geometric Solutions

    • Algebraic Solutions

    • Other Absolute Value Equations

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 10 Quiz

  • 13

    Lesson 11 - Circles and Semicircles

    • Overview

    • Circles

    • Semicircles

    • Concave Right Parabolas

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 11 Quiz

  • 14

    Lesson 12 - Combined Functions I

    • Overview

    • Combining Functions

    • The Sum, Difference or Product of Two Functions

    • The Quotient of Two Functions

    • Extension Students

    • Practice Students

    • ADV#2 Lesson 12 Quiz

  • 15

    Lesson 13 - Combined Functions II

    • Overview

    • Composite Functions

    • Domain and Range of Composite Functions

    • Extension Students

    • Practice Exercises

    • ADV#2 Lesson 13 Quiz

  • 16

    Questions from the HSC

    • Advanced Year 11 Function Part B in the HSC Exams

  • 17

    Appendix 1: Mixed Revision Exercises

    • Mixed Exercises

  • 18

    Conclusion

    • Conclusion to ADV#2

  • 19

    Course Feedback

    • Please take a few minutes to complete our feedback form.

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