General Description

The course is the first of two that cover every dot point from MA-F1 Working with Functions the new NSW Year 11 Mathematics Advanced syllabus. The first covers F1.1: Algebraic techniques and parts of F1.2: Introduction to functions and F1.3: Linear, quadratic and cubic functions.

The course goes into greater detail than the textbooks, so teachers are more comfortable in their ability to deliver the content. All 133 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 133 recorded examples, with a 225 page course handout. There are also 133 optional practice questions matching the examples from the course, and another exercise of 76 mixed questions, all with fully worked solutions.

The remainder of the Year 11 Advanced syllabus will be covered in four more courses: ADV#2 will cover the remainder of 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#1

  • 2

    Functions

    • Introduction to Functions

    • Relevant Parts of the Syllabus

  • 3

    Lesson 1 Basic Index Laws

    • Lesson Overview

    • Indices

    • Index Laws

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 1 Quiz

  • 4

    Lesson 2 Negative, Fractional & Combined Index Laws

    • Lesson Overview

    • Negative and Fractional Indices

    • Further Index Laws

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 2 Quiz

  • 5

    Lesson 3 Surds

    • Lesson Overview

    • Surds

    • Surd Rules

    • Simplifying Surds

    • Adding or Subtracting Surds

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 3 Quiz

  • 6

    Lesson 4 Surds - Rationalising the denominator

    • Lesson Overview

    • Rationalising the Denominator

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 4 Quiz

  • 7

    Lesson 5 Quadratic Equations I – Factorisation

    • Lesson Overview

    • Quadratic Functions - Background Information

    • Solving Quadratic Equations by Factorising

    • Factorising Monic Trinomials

    • Factorising Non-monic Trinomials - PSF Method

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 5 Quiz

  • 8

    Lesson 6 Quadratic Equations II – Completing the Square and the Quadratic Formula

    • Lesson Overview

    • Completing the Square

    • Quadratic Formula

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 6 Quiz

  • 9

    Lesson 7 Algebraic Fractions

    • Lesson Overview

    • Algebraic Fractions

    • Operations with Fractions

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 7 Quiz

  • 10

    Lesson 8 Relations and Functions, Types of Relations

    • Lesson Overview

    • Preamble

    • Relations and Functions

    • Functions

    • Why do we care whether a Relation is also a Function?

    • Types of Relations

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 8 Quiz

  • 11

    Lesson 9 Independent/Dependent, Function notation, Graphs

    • Lesson Overview

    • Dependent and Independent Variables

    • Function Notation

    • Graphing Functions

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 9 Quiz

  • 12

    Lesson 10 Domain and Range; Odd & Even Functions

    • Lesson Overview

    • Interval Notation

    • Domain and Range

    • Odd and Even Functions

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 10 Quiz

  • 13

    Lesson 11 Linear Functions - Direct Variation, Gradient/Intercept Form

    • Lesson Overview

    • How to approach teaching Linear Functions

    • Constant Functions

    • Linear Functions

    • Gradient of a Line

    • Standard Forms of a Line

    • Direct Variation

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 11 Quiz

  • 14

    Lesson 12 Linear Functions - Point Gradient and Two Point Forms

    • Lesson Overview

    • Determining the Equation of a Linear Function

    • Point-gradient Formula

    • Two Point Formula

    • Intercept Formula

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 12 Quiz

  • 15

    Lesson 13 Linear Functions - Parallel and Perpendicular

    • Lesson Overview

    • Parallel Lines

    • Perpendicular Lines

    • Extension Students

    • Practice Exercises

    • ADV#1 Lesson 13 Quiz

  • 16

    Questions from the HSC

    • Advanced Year 11 Function Part A in the HSC Exams

  • 17

    Appendix 1: Factorising Non-monic Trinomials - Alternative Methods

    • Alternative Methods for Factorising Non-monic Trinomials

    • Magic Method

    • Cross Method

  • 18

    Appendix 2: Mixed Revision Exercises

    • Mixed Revision

  • 19

    Conclusion

    • Conclusion to In Depth ADV#1

  • 20

    Course Feedback

    • Feedback from

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