Steve Howard Senior Maths >>

Course Description

The course is the second of two that cover every dot point from MA-F1 Working with Functions in 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
  • 300 page course handout
  • 130 optional practice questions matching the examples from the course
  • 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 covers MA-T1 Trigonometry and Measure of Angles and MA-T2 Trigonometric Functions and Identities 

ADV#4 covers 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



This Course:

Functions Part B - ADV#2

  $349 + GST (Teacher)
$1250 + GST (School)

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Complete Subject:

Year 11 Advanced (5 courses)

  $990 + GST (Teacher)
$2990 + GST (School)

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Do you teach in NSW? If so, this is relevant to you:

Completing Mathematics In Depth - Year 11 Advanced - Functions Part B - ADV#2 will contribute 10 hours of NSW Education Standards Authority (NESA) Accredited PD in the priority area of Delivery and Assessment of NSW Curriculum/Early Years Learning Framework, addressing Standard Descriptor 2.1.2 from the Australian Professional Standards for Teachers towards maintaining Proficient Teacher in NSW.

 

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

    • Highlights of Functions Part B

    • Conclusion to ADV#2
  • 19

    Course Feedback

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

Presented by:

Steve Howard

Steve Howard

Steve Howard has inspired and equipped hundreds of Maths teachers with his In-Depth Senior Mathematics courses, providing all the tips, examples and resources to teach the HSC syllabus with confidence. He loves to discover the most efficient techniques for solving mathematical problems, by analysing other experts' solutions or by developing his own approaches when he finds a better way. As a student, Steve did Unit 4 Mathematics, gaining a mark of 198/200, before training as an actuary. After retraining as a teacher, Steve has taught Maths at Cowra High School, NSW, for 28 years. He has also taught gifted and talented students online through Xsel and Aurora College, and developed all student course material for TTA's Year 12 Extension Maths Portal.

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