Essential Mathematics CORE for the Australian Curriculum 7–10 brochure

New!

Essential Mathematics CORE for the Australian Curriculum 7–10 David Greenwood, Bryn Humberstone, Sara Woolley, Justin Robinson, Jenny Goodman, Jennifer Vaughan and Stuart Palmer

An exciting new edition of the popular Essential Mathematics GOLD series

cambridge.edu.au/education/essentialmaths

What’s new in this series?

Essential Mathematics CORE for the Australian Curriculum Years 7–10 provides a practical interpretation of the Australian Curriculum to help students meet the minimum requirements of the Achievement Standards.

Combining a proven teaching and learning formula with innovative digital capabilities, Essential Mathematics CORE encourages students who require additional support in mathematics to master the basics of applied mathematics in everyday life and in the workplace.

Revised ‘Understanding’ questions

Tools to help students keep track of their progress

‘Understanding’ questions have been revised to be more closely linked to the ‘Key Ideas’ section to promote class discussion and to help consolidate the fundamental skills and concepts needed for the topic.

‘Learning Intentions’ at the beginning of each lesson clearly state what the student can expect to learn in the lesson. A checklist of success criteria, complete with short example questions, is then provided at the end of every chapter to assist students with keeping track of their progress, and as a form of quick revision.

‘Now You Try’ questions for every worked example Questions without worked solutions have been added to every worked example. These additional questions give students immediate practice at the same type of question covered in the worked example before completing equivalent exercise questions. ‘Now You Try’ questions also provide teachers with extra material to demonstrate questions in the same style as the worked example, without students having seen the solution beforehand.

New Pre-tests A new Diagnostic Pre-test in the Interactive Textbook for each chapter can be used to test students on the content before the topic has started and can be re-done later to assess progress. This is in addition to the existing Pre-test that assesses prior knowledge.

Even more comprehensive digital support

Modelling activities Modelling activities in each chapter encourage students to use the modelling process to define, solve, verify and communicate solutions to real-life problems.

1

Our extensive digital support now offers even more features to enhance the teaching, learning, assessment and reporting experience through integrated digital resources and a powerful Learning Management System (LMS).

Features you know and love Essential Mathematics CORE retains many of the features that made our previous series Essential Mathematics GOLD for the Australian Curriculum so popular.

Logical and sequential development

A practical interpretation of the proficiency strands

The sequencing of topics throughout the textbook for each year level encourages deep understanding, reduces lesson planning time, and allows the teaching program to be built around the textbook. Logical topic development is supported by carefully graded questions, linked examples, investigations and key point summaries in an uncluttered layout.

Our highly regarded interpretation of the Australian Curriculum proficiency strands supports precise grading of questions and consistent depth across all topics in the curriculum. Every question is grouped according to the four proficiency strands and every lesson contains questions for all four strands.

Supports differentiated learning

Develops vital literacy skills in mathematics

Two separate working programs are subtly embedded in every exercise in the student text, offering ‘Building’ and ‘Progressing’ pathways throughout the text. Within chapters, revision (Consolidating) and extension (Gold Star) sections are clearly signposted to make it easier for teachers to prioritise particular topics in each chapter to suit their students’ needs and goals.

A range of features are included to develop vital literacy skills in mathematics such as pop-up definitions (with illustrations, examples and audio pronunciation for all key terms), dragand-drop and fill-the-gap literacy-based activities within the Interactive Textbook, and maths literacy worksheets in the Online Teaching Suite for use in the classroom or as homework.

2

A new level of digital support for students

The Interactive Textbook powered by Cambridge HOTmaths The online version of the student text delivers a host of interactive features to enhance the teaching and learning experience, and when connected to a class teacher account offers a powerful Learning Management System (LMS). It is accessed online through a Cambridge GO account using a unique 16-character code provided with the Print Textbook, or available for purchase separately as a digital-only option.

Interactive features •

Workspaces allows students to enter their working for all exercises directly into the Interactive Textbook. Answers can be typed, hand-written or uploaded on a computer or tablet device. Students can then check their answers, self-assess their working using a four-point scale, and use a red flag to alert their teacher if they had trouble with a question. This encourages students to develop responsibility for their learning and effectively communicates their performance to the teacher.

•

Scorcher – our online timed competition allows students to compete against each other and other schools.

•

Pre-tests, Progress Quiz and multiple-choice review questions, in each chapter, become auto-marked quizzes, allowing easy tracking of student progress through the chapter.

•

Videos for all worked examples help students develop a robust understanding and support independent learning.

•

Drag-and-drop and fill-the-gap maths literacy activities.

•

Pop-up glossary with diagrams, examples and audio pronunciation of terms.

•

Students and teachers have access to the PDF Textbook, a downloadable version of the student text with note-taking and bookmarking enabled.

cambridge.edu.au/go

3

A new level of digital support for teachers

The Online Teaching Suite The Online Teaching Suite combines the Interactive Textbook powered by Cambridge HOTmaths and its rich digital resources with a suite of supplementary resources and a powerful Learning Management System (LMS). It is accessed through a Cambridge GO teacher account. Your Cambridge Education Resource Consultant will provide access to the Online Teaching Suite if your school has purchased or booklisted one or more year levels. It is also available for purchase separately.

Te a c h e r s u p p o r t •

Full access to the Interactive Textbook powered by Cambridge HOTmaths.

•

Access to student Workspaces entries allows for efficient and time-saving monitoring of work and provides students with the opportunity to alert teachers to problems with specific questions. Teachers can also provide feedback to individuals on specific questions.

•

The Task Manager function can be used to create a Quick task, a Directed task or a task Template. The Directed task option allows teachers to set an achievement benchmark for measurable activities that directs students on an activity sequence appropriate to their score. Templates for task sequences can be created and applied across a number of chapters and multiple classes, saving teachers time in allocating activities.

•

Quickly create customised tests from a large bank of questions.

Tests can be printed or assigned online for automarking, and are suitable for assessment, homework tasks, practice quizzes and trial exams. The Test Generator comes with a set of ready-made tests, and teachers can also share their customised tests with other teachers in the school, building a whole-school assessment bank.

•

The test function for Year 7 and Year 9 includes a set of readymade NAPLAN-style tests that can be used as a diagnostic tool and to familiarise students with test conditions.

•

Comprehensive, editable documents including working programs and curriculum grids are all available in the Online Teaching Suite.

•

Time-saving classwork, homework and assessment support material includes chapter tests, worksheets, skillsheets, maths literacy worksheets and investigations.

cambridge.edu.au/go

4

Contents

Year 7

Year 8

Available September 2020

Available November 2020

1 Whole numbers

1 Integers

2 Geometry

2 Lines, shapes and solids

3 Number properties and patterns

3 Fractions, decimals and percentages

4 Fractions and percentages

4 Measurement

5 Alegbra

5 Algebra

6 Decimals

6 Ratios and rates

7 Negative numbers

7 Equations

8 Statistics and probability

8 Statistics and probability

9 Shapes and transformations

9 Straight line graphs

10 Equations

10 Transformation and congruence

11 Measurement

Year 9

Year 10

Available November 2020

Available September 2020

1 Reviewing number

1 Measurement

2 Financial mathematics

2 Consumer arithmetic

3 Expressions and equations

3 Algebra and indices

4 Pythagoras’ Theorem and trigonometry

4 Probability

5 Linear relations

6 Straight line graphs

6 Measurement

7 Geometry

7 Indices

8 Equations

8 Geometry

9 Pythagoras’ Theorem and trigonometry

9 Algebraic techniques

10 Quadratics and non-linear graphs

5 Statistics

10 Statistics and probability

Contents are subject to change prior to publication.

5

Authors David Greenwood

Jenny Goodman

is the Head of Mathematics at Trinity Grammar School in Melbourne and has 25+ years’ experience teaching mathematics from Years 7 to 12. He has run numerous workshops within Australia and overseas regarding the implementation of the Australian Curriculum and the use of technology for the teaching of mathematics. He has written more than 30 mathematics titles and has a particular interest in the sequencing of curriculum content and working with the Australian Curriculum proficiency strands.

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. She has written for CambridgeMATHS NSW and was involved in the Spectrum and Spectrum Gold series.

J e n n i f e r Va u g h a n

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.

Sara Woolley completed an Honours degree in Mathematics at the University of Tasmania before completing her education training at the University of Melbourne. She has taught mathematics in Victoria from Years 7 to 12 since 2006 and is currently a Head of Mathematics. She has written more than 15 mathematics titles and specialises in lesson design and differentiation.

Justin Robinson

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 has been a head of department in two schools and is now an educational consultant who conducts professional development workshops for teachers all over NSW and beyond. He has been a Project Officer with the Mathematical Association of New South Wales, and also works with preservice teachers at the University of Sydney and the University of Western Sydney.

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 Melbourne’s Graduate School of Education, and was listed in The Educator’s 2017 ‘Top 50’ Hot List.

6

cambridge.edu.au/education/essentialmaths

P: 1800 005 210 F: 1800 110 521 enquiries@cambridge.edu.au Private Bag 31 Port Melbourne VIC 3207

ABN 28 508 204 178

ARBN 007 507 584