# Understanding Year 9 Maths: Australian Curriculum Edition

$36.95

**ISBN**Â 9781760323585

This book has been written to broadly follow both the Australian and the NSW Advanced Year 9 Mathematics Curriculum (5.3). It is intended to be a very thorough and concise summary of most major core topics which are taught and covered in Year 9 Advanced classes throughout Australia.

Please keep in mind that this curriculum is based on the work covered in 2 years of high school (Year 9 and Year 10) which implies that different schools may teach the topics in a different order throughout the two year period. Therefore if you cannot find a particular topic summary in this Year 9 book (for example: probability), then you will almost certainly find it explained in the Understanding Year 10 book.

This book will prove to be very beneficial to students, teachers and coaches in all states. It has primarily been developed to be used as an additional learning aid to the conventional school text book, but it could also be used as a class text on its own account

## Features and Benefits

- Firstly, the book has been split up into the 11 MAJOR IMPORTANT TOPICS.
- Each of these major topics has been broken down into a number of simpler ideas and rules, thus saving educators and students valuable TIME in research.
- Most pages explain only one idea or rule, thus giving students CLARITY.
- Each concept is thoroughly, but simply, explained for UNDERSTANDING.
- Each formula, rule or set of steps is highlighted in larger print for ease of MEMORISING.
- Each formula and page contains at least one fully worked example. This not only reinforces understanding, but also shows the student how to APPLY each formula to typical questions.
- At the end of each chapter, there are usually at least 4 comprehensive graded exercises for PRACTICE, which cover all the ideas in the topic. If a student is not sure how to do a particular problem, all they need to do is turn back to the page number shown in order to find a very similar example.
- In addition, the text presentation is well spaced out, in order to make the subject matter more APPEALING and USER FRIENDLY to this age group.
- The opening contents page of each chapter contains CURRICULUM REFERENCES which will prove helpful and beneficial to teachers.
- At the end of each chapter there is a CONDENSED SUMMARY of the complete chapter. These chapter summaries give all the formulas and rules that students must memorise before sitting for a test or exam.

The exercises in the book are carefully graded into 5 levels to provide confidence and success to lower ability students, while at the same time offering more difficult levels to extend students who have a good grasp of the basic concepts:

**EASIER QUESTIONS:**

These questions given in level 1 (sometimes also in level 2) are intended to build up confidence and ensure that all the basic concepts have been understood. Most of the questions are almost identical to the examples given throughout the chapter Â– except with the numbers changed. If the student does have difficulty, then he/she can easily refer back to a similar example on the page number shown in the margin.

**AVERAGE QUESTIONS:**

The questions in Level 2 are of average difficulty level, and will give all students (average & gifted) a good opportunity to practise and consolidate the ideas and rules given throughout most of the chapter. Once again, if a student does have difficulty with a particular problem, then he/she can quickly refer back to a similar example on the page number shown. All students should try to complete and understand the questions in the first 2 levels.

**HARDER QUESTIONS:**

The questions in this level are usually more difficult than the ones in level 1 and 2 and some of the more difficult ideas in the topic are tested. Reference page numbers have NOT been included in the margin, in order to make students who reach this level more skilful in researching through the chapter for their own information. Level 3 should be done by more capable students, or those students who have found earlier levels straightforward.

**PROBLEM SOLVING EXTENSION QUESTIONS:**

This more difficult level has been included to challenge those students who are more gifted at Maths. Usually the questions are more sentence and problem oriented, and therefore they involve more reading and comprehension skills. It is unlikely that any of the questions in this level can be done mentally, because several different ideas, rules or steps are usually required. Because ‘problem solving’ is becoming very important in examinations, we have tried to include at least 1 exercise at the end of each chapter.

## Contents

- Financial Mathematics [Number & Algebra strand]
- Algebra [Number & Algebra strand]
- Indices [Number & Algebra strand]
- Measurement [Measurement & Geometry strand]
- Equations [Number & Algebra strand]
- Surds [Number & Algebra strand]
- Coordinate Geometry [Number & Algebra strand]
- Graphs [Statistics & Probability strand]
- Statistics [Statistics & Probability strand]
- Geometry [Measurement & Geometry strand]
- Trigonometry [Measurement & Geometry strand]
- Solutions to graded exercises (worked solutions to the more difficult exercises)

## Additional information

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### Understanding Year 9 Maths Advanced Australian Curriculum Edition

**EASIER QUESTIONS:**These questions given in level 1 (sometimes also in level 2) are intended to build up confidence and ensure that all the basic concepts have been understood. Most of the questions are almost identical to the examples given throughout the chapter Â– except with the numbers changed. If the student does have difficulty, then he/she can easily refer back to a similar example on the page number shown in the margin.

**AVERAGE QUESTIONS:**The questions in Level 2 are of average difficulty level, and will give all students (average & gifted) a good opportunity to practise and consolidate the ideas and rules given throughout most of the chapter. Once again, if a student does have difficulty with a particular problem, then he/she can quickly refer back to a similar example on the page number shown. All students should try to complete and understand the questions in the first 2 levels.

**HARDER QUESTIONS:**The questions in this level are usually more difficult than the ones in level 1 and 2 and some of the more difficult ideas in the topic are tested. Reference page numbers have NOT been included in the margin, in order to make students who reach this level more skilful in researching through the chapter for their own information. Level 3 should be done by more capable students, or those students who have found earlier levels straightforward.

**PROBLEM SOLVING EXTENSION QUESTIONS:**This more difficult level has been included to challenge those students who are more gifted at Maths. Usually the questions are more sentence and problem oriented, and therefore they involve more reading and comprehension skills. It is unlikely that any of the questions in this level can be done mentally, because several different ideas, rules or steps are usually required. Because 'problem solving' is becoming very important in examinations, we have tried to include at least 1 exercise at the end of each chapter.

## Contents

- Financial Mathematics [Number & Algebra strand]
- Algebra [Number & Algebra strand]
- Indices [Number & Algebra strand]
- Measurement [Measurement & Geometry strand]
- Equations [Number & Algebra strand]
- Surds [Number & Algebra strand]
- Coordinate Geometry [Number & Algebra strand]
- Graphs [Statistics & Probability strand]
- Statistics [Statistics & Probability strand]
- Geometry [Measurement & Geometry strand]
- Trigonometry [Measurement & Geometry strand]
- Solutions to graded exercises (worked solutions to the more difficult exercises)

### Understanding Year 9 Maths Advanced Australian Curriculum Edition

**EASIER QUESTIONS:**These questions given in level 1 (sometimes also in level 2) are intended to build up confidence and ensure that all the basic concepts have been understood. Most of the questions are almost identical to the examples given throughout the chapter Â– except with the numbers changed. If the student does have difficulty, then he/she can easily refer back to a similar example on the page number shown in the margin.

**AVERAGE QUESTIONS:**The questions in Level 2 are of average difficulty level, and will give all students (average & gifted) a good opportunity to practise and consolidate the ideas and rules given throughout most of the chapter. Once again, if a student does have difficulty with a particular problem, then he/she can quickly refer back to a similar example on the page number shown. All students should try to complete and understand the questions in the first 2 levels.

**HARDER QUESTIONS:**The questions in this level are usually more difficult than the ones in level 1 and 2 and some of the more difficult ideas in the topic are tested. Reference page numbers have NOT been included in the margin, in order to make students who reach this level more skilful in researching through the chapter for their own information. Level 3 should be done by more capable students, or those students who have found earlier levels straightforward.

**PROBLEM SOLVING EXTENSION QUESTIONS:**This more difficult level has been included to challenge those students who are more gifted at Maths. Usually the questions are more sentence and problem oriented, and therefore they involve more reading and comprehension skills. It is unlikely that any of the questions in this level can be done mentally, because several different ideas, rules or steps are usually required. Because 'problem solving' is becoming very important in examinations, we have tried to include at least 1 exercise at the end of each chapter.

## Contents

- Financial Mathematics [Number & Algebra strand]
- Algebra [Number & Algebra strand]
- Indices [Number & Algebra strand]
- Measurement [Measurement & Geometry strand]
- Equations [Number & Algebra strand]
- Surds [Number & Algebra strand]
- Coordinate Geometry [Number & Algebra strand]
- Graphs [Statistics & Probability strand]
- Statistics [Statistics & Probability strand]
- Geometry [Measurement & Geometry strand]
- Trigonometry [Measurement & Geometry strand]
- Solutions to graded exercises (worked solutions to the more difficult exercises)

### Essential Mathematics for the Australian Curriculum Year 9 Third Edition

**ABOUT THE AUTHORS**

**David Greenwood**David Greenwood is the Head of Mathematics at an Independent school in Melbourne and has 30 years' experience teaching mathematics from Years 7 to 12. He is the lead author for the Cambridge Essential Mathematics series and has authored more than 80+ titles for the Australian Curriculum and for the syllabuses of other states. He specialises in analysing curriculum and the sequencing of course content for school mathematics courses. He also has an interest in the use of technology for the teaching of mathematics.

**Bryn Humberstone**Bryn Humberstone graduated from the University of Melbourne with an Honours degree in Pure Mathematics, and has taught secondary school mathematics for over 15 years. He has been a Head of Mathematics since 2014 at two independent schools in Victoria. Bryn is particularly passionate about designing engaging mathematical activities and effective assessment tasks for students with a variety of backgrounds and ability levels.

**Justin Robinson**Justin Robinson is the inaugural Director of the Institute of Positive Education, based at Geelong Grammar School, where he leads a team of staff dedicated to promoting the theory and practice of Positive Education. Prior to this, he spent 20 years teaching mathematics, covering all levels of secondary education and with significant experience teaching VCE, IB and A-Levels. Justin is passionate about challenging students within a safe learning environment. Justin is an Honorary Fellow of the University of Melbourneâ€™s Graduate School of Education, and was listed in The Educatorâ€™s 2017 â€˜Top 50â€™ Hot List.

**Jenny Goodman**Jenny Goodman has taught in schools for over 25 years and is currently teaching at a selective high school in Sydney. Jenny has an interest in the importance of literacy in mathematics education, and in teaching students of differing ability levels. She was awarded the Jones Medal for Education at Sydney University and the Bourke Prize for Mathematics.

**Jennifer Vaughan**Jennifer Vaughan has taught secondary mathematics for over 30 years in New South Wales, Western Australia, Queensland and New Zealand and has tutored and lectured in mathematics at Queensland University of Technology. She is passionate about providing students of all ability levels with opportunities to understand and to have success in using mathematics. She has extensive experience in developing resources that make mathematical concepts more accessible, to develop student confidence, achievement and an enjoyment of maths.

**Stuart Palmer**Stuart Palmer is a fully qualified high school mathematics teacher with more than 25 yearsâ€™ experience teaching students from all walks of life in a variety of schools. He has been Head of Mathematics in two schools. He is very well known by teachers throughout the state for the professional learning workshops he delivers. Stuart also assists thousands of Year 12 students every year as they prepare for their HSC Examinations. At the University of Sydney, Stuart spent more than a decade running tutorials for pre-service mathematics teachers.

### Essential Mathematics for the Australian Curriculum Year 9 Third Edition

**ABOUT THE AUTHORS**

**David Greenwood**David Greenwood is the Head of Mathematics at an Independent school in Melbourne and has 30 years' experience teaching mathematics from Years 7 to 12. He is the lead author for the Cambridge Essential Mathematics series and has authored more than 80+ titles for the Australian Curriculum and for the syllabuses of other states. He specialises in analysing curriculum and the sequencing of course content for school mathematics courses. He also has an interest in the use of technology for the teaching of mathematics.

**Bryn Humberstone**Bryn Humberstone graduated from the University of Melbourne with an Honours degree in Pure Mathematics, and has taught secondary school mathematics for over 15 years. He has been a Head of Mathematics since 2014 at two independent schools in Victoria. Bryn is particularly passionate about designing engaging mathematical activities and effective assessment tasks for students with a variety of backgrounds and ability levels.

**Justin Robinson**Justin Robinson is the inaugural Director of the Institute of Positive Education, based at Geelong Grammar School, where he leads a team of staff dedicated to promoting the theory and practice of Positive Education. Prior to this, he spent 20 years teaching mathematics, covering all levels of secondary education and with significant experience teaching VCE, IB and A-Levels. Justin is passionate about challenging students within a safe learning environment. Justin is an Honorary Fellow of the University of Melbourneâ€™s Graduate School of Education, and was listed in The Educatorâ€™s 2017 â€˜Top 50â€™ Hot List.

**Jenny Goodman**Jenny Goodman has taught in schools for over 25 years and is currently teaching at a selective high school in Sydney. Jenny has an interest in the importance of literacy in mathematics education, and in teaching students of differing ability levels. She was awarded the Jones Medal for Education at Sydney University and the Bourke Prize for Mathematics.

**Jennifer Vaughan**Jennifer Vaughan has taught secondary mathematics for over 30 years in New South Wales, Western Australia, Queensland and New Zealand and has tutored and lectured in mathematics at Queensland University of Technology. She is passionate about providing students of all ability levels with opportunities to understand and to have success in using mathematics. She has extensive experience in developing resources that make mathematical concepts more accessible, to develop student confidence, achievement and an enjoyment of maths.

**Stuart Palmer**Stuart Palmer is a fully qualified high school mathematics teacher with more than 25 yearsâ€™ experience teaching students from all walks of life in a variety of schools. He has been Head of Mathematics in two schools. He is very well known by teachers throughout the state for the professional learning workshops he delivers. Stuart also assists thousands of Year 12 students every year as they prepare for their HSC Examinations. At the University of Sydney, Stuart spent more than a decade running tutorials for pre-service mathematics teachers.