The Best Way to Learn
Mathematics Standard, Advanced, Extension 1 and Extension 2.
Version 13 of my free Extension 2 textbook for the 2017 syllabus is now available (the blue button below). Versions 2 to 7 included corrections to typos etc. Version 8 included more corrections, plus Mechanics has been slightly reworked – all examples now use definite integrals, and differential equations and slope fields are used in some explanations. Versions 9 to 13 had more typos corrected.
I am currently working on a new edition of the textbook for the 2024 syllabus. Expect more information later in 2025!
What's happening in 2025?
The 2025 TTA Exams were released late in Term 2, and I am now completing PD courses on Year 12 Standard. The courses are based on the 2017 syllabus but include new content and changes for the 2024 syllabus. Year 12 Algebra and Year 12 Networks have been released, with Measurement, Financial Mathematics and Statistics due soon.
All PD courses will be reissued for the 2024 syllabus, starting once the Year 12 Standard courses are complete.
For all my PD courses, the TTA Exams and the Extension 2 Student course go to stevehoward.tta.edu.au or use the link below.
All teachers and schools who previously purchased the Advanced, Extension 1 or Extension 2 courses can of course continue to access them in perpetuity on the main TTA website – tta.edu.au.
Follow the link below for more information, or email me on steve@howardmathematics.com.
Version 9 of the 1000 Questions is now available (the blue button below). Version 9 has more typos fixed and minor corrections.
Resources to purchase
Mathematics Extension 2 - Student Course
Mathematics In Depth online Professional Development Courses
There are currently 25 courses in the Mathematics In Depth series, with a total of 3089 recorded examples, and handouts and exercise booklets totalling 6315 pages!
All of Year 11 is covered with some Year 12 courses released and others due out this term.
The courses are:
- STD#A Year 11 Algebra covers MS-A1 Formulae and Equations and MS-A2 Linear Relationships
- STD#B Year 11 Measurement covers MS-M1 Applications of Measurement and MS-M2 Working with Time.
- STD#C Year 11 Financial Mathematics covers MS-F1 Money Matters
- STD#D Year 11 Statistics and Probability covers MS-S2 Relative Frequency and Probability
- STD#E Year 12 Algebra covers MS-A3 Types of Relationships (Standard 1) and MS-A4 Types of Relationships (Standard 2)
- STD#F Year 12 Measurement covers MS-M3 Right-angled Triangles, MS-M4 Rates and MS-M5 Scale Drawings (Standard 1) and MS-M6 Non-right-angled Trigonometry and MS-M7 Rates and Ratios (Standard 2) – yet to be released
- STD#G Year 12 Financial Mathematics covers MS-F2 Investment and MS-F3 Depreciation and Loans (Standard 1) and MS-F4 Investments and Loans and MS-F5 Annuities (Standard 2) – yet to be released
- STD#H Year 12 Statistics covers MS-S3 Further Statistical Analysis (Standard 1) and MS-S4 Bivariate Data Analysis and MS-S5 The Normal Distribution (Standard 2) – yet to be released
- STD#I Year 12 Networks (this course) covers MS-N1 Networks and Paths (Standard 1) and MS-N2 Network Concepts and MS-N3 Critical Path Analysis (Standard 2)
The Advanced syllabus is covered in five Year 11 courses and five Year 12 courses, including 1428 recorded examples, and handouts and exercise booklets totalling 2765 pages. The courses are:
Year 11
- ADV#1 Functions Part A covering part of MA-F1 Working with Functions
- ADV#2 Functions Part B covering the rest of MA-F1 Working with Functions
- ADV#3 Trigonometry covering MA-T1 Trigonometry and Measure of Angles and MA-T2 Trigonometric Functions and Identities
- ADV#4 Introduction to Differentiation covering MA-C1 Introduction to Differentiation
- ADV#5 Exponentials, Logarithms, Probability & Statistics covering MA-E1 Logarithms and Exponentials and MA-S1 Probability and Discrete Probability Distributions
Year 12
- ADV#6 Further Differentiation covering MA-C2 Differential Calculus and MA-C3 Applications of Differentiation
- ADV#7 Integration covering MA-C4 Integral Calculus
- ADV#8 Functions and Trigonometric Functions covering MA-F2 Graphing Techniques and MA-T3 Trigonometric Functions and Graphs
- ADV#9 Statistics covering MA-S2 Descriptive Statistics and Bivariate Data Analysis and MA-S3 Random Variables
- ADV#10 Financial Mathematics covering MA-M1 Modelling Financial Situations
The Extension 1 syllabus is covered in three Year 11 courses and two Year 12 courses, including 585 recorded examples, and handouts and exercise booklets totalling 957 pages. The courses are:
Year 11
- EXT1#1 Combinatorics and Further Work with Functions Part A covering ME-A1 Working with Combinatorics and part of ME-F1 Further Work with Functions Part A
- EXT1#2 Further Work with Functions Part B and Polynomials covering the rest of ME-F1 Further Work with Functions Part B and ME-F2 Polynomials
- EXT1#3 Trigonometry (Year 11) and Rates of Change covering ME-T1 Inverse Trigonometric Functions, ME-T2 Further Trigonometric Identities and ME-C1 Rates of Change
Year 12
- EXT1#4 Proof and Vectors covering ME-P1 Proof by Mathematical Induction and ME-V1 Introduction to Vectors
- EXT1#5 Trigonometry (Year 12), Calculus and Statistics covering ME-T3 Trigonometric Equations, ME-C2 Further Calculus Skills, ME-C3 Applications of Calculus and ME-S1 The Binomial Distribution
The Extension 1 syllabus is covered in three Year 11 courses and two Year 12 courses, including 459 recorded examples, and handouts and exercise booklets totalling 878 pages. The courses are:
- EXT2#1 Proof and Vectors covering MEX-P1 The Nature of Proof, MEX-P2 Further Proof by Mathematical Induction and MEX-V1 Further Work with Vectors
- EXT2#2 Complex Numbers covering MEX-N1 Introduction to Complex Numbers and MEX-N2 Using Complex Numbers
- EXT2#3 Integration covering MEX-C1 Further Integration
- EXT2#4 Mechanics covering MEX-M1 Applications of Calculus to Mechanics
EXTENSION 2 TEXTBOOK AT NO COST TO YOU
See below for more information.
About The Mathematician, Teacher & Author
My name is Steve Howard. I am a Mathematics Teacher who taught at Cowra High School, a medium sized rural high school in Central West NSW, for 30 years, and also taught gifted and talented students online through xsel and Aurora College. I now work from home, mainly creating Mathematics resources available through TTA, but also teaching Extension 2 online through Mount View High School in the Hunter, and marking the Extension 2 HSC. This website is a portal that brings together my free and commercial Mathematics resources for students and teachers. Here you will find my passion project - my own Mathematics Extension 2 textbook and 1000 Revision Questions for Extension 2 - that are available here for free. You can also look at information about and links to the commercial online PD courses that I make for teachers through TTA, the TTA Maths Exams and the Extension 2 course for students. Get a free download of the textbook and revision book using the links above, and subscribe to the email list to keep up to date with new resources - free or commercial.
1000 EXTENSION 2 REVISION QUESTIONS AT NO COST TO YOU
TTA ONLINE PD
Extension 2 Textbook and Revision Questions
The Extension 2 textbook and matching ‘1000 Revision Questions’ will be continually changed and updated over time so that it better matches the HSC while the other textbooks stay the same.
The textbook has over 1000 questions and at 582 pages is about 50% bigger than the commercial textbooks. The two digital books work best together, but you can just use one or the other.
This textbook is mainly a passion project, but indirectly earns me a bit of pocket money through school copyright licensing and increasing traffic to my commercial online professional development courses for teachers through TTA.
Some of the features of this textbook that students and teachers may find useful:
* The questions are in the style of past HSC questions where possible, so students are learning the right type of questions throughout the course.
* The questions are graded in difficulty so students can work at their own level.
* Each exercise starts with Basic questions that match the examples, so students can ease themselves into the new concepts if they need to. More confident students can skip these first questions and start with Medium.
* All questions have fully worked solutions.
* There are lots of diagrams that help students understand concepts that would normally only be dealt with algebraically. There are many hints and tips on how to more easily answer questions, and to see the way past tricks in exam questions.
The textbook is paired with ‘1000 Revision Questions in Mathematics Extension 2’. The first 500 questions are arranged topic by topic matching the chapters from the textbook to help students study and revise, while the last 500 questions are from mixed topics to help students prepare for their Trials and the HSC.
The textbook is set out so that you can cover the course in 42 lessons. The aim is for you to be able to finish the course as soon as possible so that you can have months of revision before the HSC to master the content.
Extension 2 Textbook and Revision Questions
The Extension 2 textbook and matching ‘1000 Revision Questions’ will be continually changed and updated over time so that it better matches the HSC while the other textbooks stay the same.
The textbook has over 1000 questions and at 582 pages is about 50% bigger than the commercial textbooks. The two digital books work best together, but you can just use one or the other.
This textbook is mainly a passion project, but indirectly earns me a bit of pocket money through school copyright licensing and increasing traffic to my commercial online professional development courses for teachers through TTA.
Some of the features of this textbook that students and teachers may find useful:
* The questions are in the style of past HSC questions where possible, so students are learning the right type of questions throughout the course.
* The questions are graded in difficulty so students can work at their own level.
* Each exercise starts with Basic questions that match the examples, so students can ease themselves into the new concepts if they need to. More confident students can skip these first questions and start with Medium.
* All questions have fully worked solutions.
* There are lots of diagrams that help students understand concepts that would normally only be dealt with algebraically. There are many hints and tips on how to more easily answer questions, and to see the way past tricks in exam questions.
The textbook is paired with ‘1000 Revision Questions in Mathematics Extension 2’. The first 500 questions are arranged topic by topic matching the chapters from the textbook to help students study and revise, while the last 500 questions are from mixed topics to help students prepare for their Trials and the HSC.
The textbook is set out so that you can cover the course in 42 lessons. The aim is for you to be able to finish the course as soon as possible so that you can have months of revision before the HSC to master the content.
