mathematics 2011 -...

MATHEMATICS20112011

The uniquely effective 4-book approach now for AQA

Official partnership resources for GCSE success

Popular and highly successful 4-book approach

Bestselling resources to make KS3 work for you

www.oxfordsecondary.co.uk/maths

Bestselling resources toBestselling resources to

GCSE Maths For Edexcel

GCSE

for OCRMaths GCSE

Maths

1

Contents

KS3/11–14MathsLinks NEW TITLES . . . . . . . . 2–7

Framework Maths . . . . . . . . . . . . . 8–10

Extension Mathematics . . . . . . . . . . 11

Maths Challenge. . . . . . . . . . . . . . . . 11

Mathswise . . . . . . . . . . . . . . . . . . . . 11

11–14 Mathematics: Revision and Practice . . . . . . . . . . . . 11

Other resources . . . . . . . . . . . . . . . . 11

GCSE/14–16AQA GCSE Maths NEW . . . . . . . . 12–15

Oxford GCSE Maths for Edexcel . . . . . . . NEW TITLES . . . . . . . . . . . . . . . . 16–21 Oxford GCSE Maths for OCR NEW TITLES . . . . . . . . . . . . . . . . . . . 22–25

Functional Maths for OCR . . . . . . . . . 24

GCSE Mathematics: Revision and Practice . . . . . . . . . . . . . . . . . . . 26–27

IGCSE . . . . . . . . . . . . . . . . . . . . . . . . 28

Statistics GCSE for AQA . . . . . . . . . . 29

Other resources . . . . . . . . . . . . . . . . 30

A Level/Post–16A Level Mathematics for AQA . . . . . . 31

A Level Mathematics for Edexcel . . . . . . . . . . . . . . . . . . . 32–34

International Baccalaureate . . . . . . . 34

Other resources . . . . . . . . . . . . . . . . 35

Customer servicesContact details . . . . . .Inside back cover

Educational Consultants . . . . . . . .Inside back cover

Key to SymbolsNew titles

International GCSE

IB Diploma Programme

Particularly relevant to Scotland

More material on the web

How to get in touchIt’s easy to evaluate resources, place an order or ask a question before you buy:

T 01536 452620

F 01865 313472

E [email protected]

www.oxfordsecondary.co.uk

(10% discount available when you order online)

Customizable resources, planning and assessment all in one place.

A single, one-off payment gives you a network licence and a free VLE disk.

Add in your own resources to build a personalized bank of material.

Look out for the OxBox CD-ROMs

Customizable resources, planning and

OxBox CD-ROMs

Full of resources students rea lly respond toOxBox user School

AQA Oxford GCSE Maths

Oxford GCSE Maths for OCR

Oxford GCSE Maths for Edexcel New Edition

MathsLinks

The successful and popular four-book approach now

available for AQA GCSE

New Revision Guides by experienced teachers

and senior examiners, plus new Linked Pair Pilot

Teacher Pack

New Homework VLE Packs, plus new write-on Foundation

Support Workbook

New Homework VLE Packs and New Basics Resource Pack

What’s new for 2011?

DISCOUNT

VOUCHER

20% Contact your local

Consultant for your 20% discount on any order

received by 31st March 2011. There is a minimum order of £350. You

must give this voucher to your Consultant and quote the code on the back of this catalogue. Please

note, this voucher can be used only once. UK schools only. Cannot be used in conjunction with any other offer.

NEW Makes the KS3

curriculum work for you!MathsLinks gives you everything you need for successful teaching.

All the work for APP (Assessing Pupils’ Progress), Functional Maths, and PLTS (Personal, Learning, and Thinking Skills) is done for you, giving you more time to teach

Combines change and innovation with effective levelling and essential rigour

Delivers the KS3 curriculum in a manageable, practical format that really works

Huge range of customizable material allows you to provide individual learning programmes for each of your students

Engaging resources show the real-life relevance of maths, bringing it to life...

Motivating and time-saving electronic resources on OxBox CD-ROM

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Each MathsLinks Evaluation Pack contains all three Student Books, a Homework Book, and a Teacher Guide.

Y7 MathsLinks Evaluation Pack 978 019 915315 2 £60.00



Evaluation

I chose MathsLinks because it has a wide variety of resources that are differentiated well, including Case Studies that bring different aspects of mathematics together to solve real life problems.

MathsLinks user school

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t: 01536 452620 f: 01865 313472 [email protected] www.oxfordsecondary.co.ukt: 01536 452620 f: 01865 313472 [email protected] www.oxfordsecondary.co.uk 3

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Course structure and orderingStudents’ Books Teacher’s Guides

Students’ Book ALevel 3/4978 019 915279 7£15.00

Students’ Book BLevel 4/5978 019 915280 3£15.00

Students’ Book CLevel 5/6978 019 915281 0£15.00

Teacher’s Guide ALevel 3/4978 019 915286 5£55.00

Teacher’s Guide BLevel 4/5978 019 915287 2£55.00

Teacher’s Guide CLevel 5/6978 019 915288 9£55.00

Homework and Practice Books

Homework Book ALevel 3/4Pack of 15 978 019 915405 0£82.00

Homework Book BLevel 4/5Pack of 15978 019 915406 7£82.00

Homework Book CLevel 5/6Pack of 15978 019 915407 4£82.00

Practice BookLevel 2/3Pack of 15978 019 915408 1£66.00

NB. Each Homework Book includes a FREE CD-ROM of the Student Book

Electronic Resources

Interactive Essentials OxBox CD-ROM978 019 915289 6£375.00+VAT

Assessment OxBox CD-ROMLevel 3–6978 019 915290 2£275.00+VAT

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Students’ Book ALevel 4/5978 019 915291 9£15.00

Students’ Book BLevel 5/6978 019 915292 6£15.00

Students’ Book CLevel 6/7978 019 915293 3£15.00

Teacher’s Guide ALevel 4/5978 019 915295 7£55.00

Teacher’s Guide BLevel 5/6978 019 915296 4£55.00

Teacher’s Guide CLevel 6/7978 019 915309 1£55.00

Homework Book ALevel 4/5Pack of 15978 019 915478 4£82.00

Homework Book BLevel 5/6Pack of 15978 019 915479 1£82.00

Homework Book CLevel 6/7Pack of 15978 019 915480 7£82.00

Practice BookLevel 3/4Pack of 15978 019 915481 4£66.00

Interactive Essentials OxBox CD-ROM*978 019 915300 8£375.00+VAT

Assessment OxBox CD-ROM*Level 4–7978 019 915301 5£275.00+VAT

Yea

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Students’ Book ALevel 4–6978 019 915302 2£15.00

Students’ Book BLevel 5–7978 019 915303 9£15.00

Students’ Book CLevel 6–8978 019 915304 6£15.00

Teacher’s Guide ALevel 4–6978 019 915306 0£55.00

Teacher’s Guide BLevel 5–7978 019 915307 7£55.00

Teacher’s Guide CLevel 6–8978 019 915308 4£55.00

Homework Book ALevel 4–6Pack of 15978 019 915482 1£82.00

Homework Book BLevel 5–7Pack of 15978 019 915483 8£82.00

Homework Book CLevel 6–8Pack of 15978 019 915484 5£82.00

Y9 Homework VLE Pack 978 019 912884 6 £250+VAT



Practice BookLevel 4Pack of 15978 019 915485 2£66.00

Interactive Essentials OxBox CD-ROM*978 019 915313 8£375.00+VAT

Assessment OxBox CD-ROM*Level 4–8978 019 915314 5£275.00+VAT

*Includes unique links to popular Autograph Software.

Basics Resource Pack for special needs support in Years 7, 8, and 9 978 019 912885 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .£250+VAT

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Geometry Angles and shapes90 91

Plans and elevations

A front elevation (F) is the view from the front.

A side elevation

A plan

These are the views of a Police Box.

F S

P

The plan is the bird’s-eye view.

Keywords

Front elevation Isometric paperPlanSide elevationSolid

exam

ple This solid is made from

four cubes.On square grid paper, draw a the front elevation (F)b the side elevation (S) c the plan view (P).

P

FS

The bold lines show when the level of cubes changes.

a b c

Front elevation

Side elevation

Plan view

Plans and elevations

exam

ple Draw a solid on isometric paper that

has these elevation and plan views.

F S P

P

F S

Front elevation Side elevation Plan view

Notice the vertical lines. The isometric paper must be this way up.

Exercise 6g1 On square grid paper, draw the front elevation (F), the side

elevation (S) and the plan view (P) of these solids. a

F S

P b

F S

P c

P

SF

d

F S

P

2 i On isometric paper, draw these solids after the shaded cube is removed.

ii On square grid paper, draw the elevations and the plan views of the new solids.

a

SF

P b

S

P

F

c

SF

P d

SF

P

3 A 3-D shape is made from some cubes. The elevations and the plan view are shown. a Draw the solid on isometric paper. b How many cubes are needed to make the

shape?

4 a Match each solid (A-D) with its plan view (E-F). b Give the mathematical name of each solid. A B C D

E F G H

ch

allen

ge

a

b

c FSP



SThis is the front This is the side This is the planelevation (F). elevation (S). view (P).

F P

LEVEL 6 LEVEL 6

Mid-unit pages from the Shape Angles & Shapes unit in MathsLinks Y8 Student Book B (NC levels 5-6)

Page from the Algebra Sequences unit in MathsLinks Y7 Teacher Guide C (NC levels 5-6)

Summary page from the Algebra Expressions & Equations unit in MathLinks Y7 Student Book B (NC levels 4-5)

Intro page from the Shape Angles & Shapes unit in MathsLinks Y8 Student Book B (NC levels 5-6)

Links to the wider curriculum to promote engagement and encourage further research

Offers a range of approaches to achieve progression

Misconceptions highlighted to pre-empt barriers to learning

Levelled questions for every chapter

Worked solutions

Clear worked examples to steadily develop techniques

Extension activities promoting deeper thought

How MathsLinks works

Objectives and key points

every topic

Steady progression with differentiation built in

Historical and cultural references ensure a fuller appreciation of conceptsLevelled diagnostic assessment

ensures students know how they are progressing

Plans and elev

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e a the fronb the sidc the plap

exam

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F

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Very clear and easy to understand Year 8 student


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Case Study pages from MathsLinks Y8 Student Book A (NC levels 4–5)

Throughout the Student Books engaging case studies use mathematics in a wide range of real-life contexts

Carefully levelled student material ensures inclusion for lower ability students

Open-ended investigations backed by materials on OxBox

Case Study page from MathsLinks Y7 Teacher Guide A (NC levels 3-4)

Case Study screen from Y7 Interactive Essentials OxBox CD-ROM

Encourage thinking skills with real-life scenarios

Blended teacher support brings case studies to life in the classroom

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Cross-curricular and cultural links

I really enjoyed revising from these books, they are colourful and make me remember the diagrams Year 8 student

Easy to read and easy

on the eye

Year 8 student

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NEW

This new Basics Resource Pack extends the possibility of maths success to students at the very lowest ability levels by providing high quality age-appropriate materials that engage fully with the sub-National Curriculum P levels, from level P6 to NC level 3a.

Age-appropriate: students asked to count hammers and money, not teddies or clowns

File of material includes free CD-ROM so materials can be customised

Resources on CD-ROM can be used on whiteboards

These new VLE Packs make students’ homework options even

provides a bank of Scorm-compliant

within your school’s VLE system. There are three packs, for Years 7, 8, and 9, making it incredibly easy to access these resources to save, display, or print out as you need.

Basics Resource Pack

Homework VLE Packs

Maths Links Year 8 Basics Maths Links Year 8 Basics

Worksheets start below National Curriculum levels and build up

Content is age neutral An example of the seamless transition from ‘P levels’ into National Curriculum levels

t: 01536 452620 f: 01865 313472 [email protected] www.oxfordsecondary.co.uk 7

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What OxBox will do for you!MathsLinks OxBox software is motivating, interactive, and easy-to-use. It gives you an extensive bank of highly visual, compelling, interactive resources, lesson plans, and assessment.

The Interactive OxBox contains motivating resources, including animations and Powerpoints, plus customizable lesson plans. The Assessment OxBox is especially suitable for APP (Assessing Pupils’ Progress), and it will do all the hard work of assessment – including setting, marking, and reporting – for you.

A full site licence is included in the price, plus a FREE VLE version that contains lots of MathsLinks print assessment.

Both the Assessment Oxbox and Interactive Essentials OxBox can be used with any KS3 course to help you meet the requirements of the curriculum.

Screens from Y7 Assessment OxBox

Choosing your test... testing... reporting...

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The KS3 course that actively encourages upward progression for all your studentsFramework Maths and the KS3 curriculum

Framework Maths covers the revised KS3 requirements thoroughly, with everything you need to help all your students succeed.

Framework Maths are perfect for the personalised approach

Framework Maths has a strong emphasis on problem solving, functional maths and real-life applications

Create your own schemes of work and

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Why not add OxBox CD-ROMs?

Why not consider adding MathsLinks OxBox CD-ROMs to your KS3 teaching programme? They can be used with any KS3 course to promote engagement and understanding, with a wide range of motivating activities and resources that are easy to customise.

It also does all the time-consuming bits of lesson planning for you, and makes it simple and easy to implement every aspect of APP (Assessing Pupils’ Progress). See page 5 for more details.

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Framework Maths provides a vast amount

of practice and consolidation material.

In addition to material provided in the

Students’ Books, this includes:

Homework books

500-page Consolidation Packs

Free online material for adopters

Find out more...

ss

ast amount


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ore

Course structure

YEAR 7

Exte

nsio

n

Framework Maths covers the revised National Curriculum thoroughly, actively targeting and

book per student per year. The chart below shows exactly which National Curriculum levels are covered by the different parts of the course.

Acc

ess

Sup

port

Bas

ics

Basics extends the possibility of maths success to students at the very lowest ability levels. It engages fully with the suggested P levels, right down to P6, and aims to ensure that they achieve their best possible result by the end of Year 9.

Extension is for high-ability students who have achieved Level 5 or above at KS2, and who will achieve levels 6-8 at the end of KS3. Extension offers challenging material and faster progression to help these students achieve Level 7 or 8 by the end of Y9.

Core is for able students who have gained a secure Level 4 at KS2, and will achieve levels 5–7 at the end of KS3. Core materials aim to ensure that these students achieve a sound Level 6 or more by the end of Y9.

Support is for under-achieving students who have gained a good Level 3 or weak Level 4 at KS2, and will achieve levels 4–6 at the end of KS3. Support aims to ensure that they achieve a sound Level 5 or more by the end of Y9.

Access is for low-achieving students currently performing below Support tier. Having reached levels 2 or 3 at KS2, they will achieve levels 3–5 at the end of KS3; Access aims to ensure that by the end of Y9 they will achieve a secure Level 4.

YEAR 9YEAR 8

NC Levels 2–4 NC Levels 3–5NC Levels 3–4

For students who will probably go on to an Entry level

Key Stage 4

For students who will probably go on to achieve ‘A-A*’ grade at GCSE

For students who will probably go on to achieve ‘C-B’ grade at GCSE

For students who will probably go on to achieve ‘E-D’ grade at GCSE

For students who will probably go on to achieve ‘G-F’ grade at GCSE

P6 to NC Level 2a P8 to NC Level 4aP7 to NC Level 3a




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Framework Maths Year 7Year 7 Basics Pack . . . . . . . . . . . . . . . . . . . . . . . . .978 019 915012 0 . . . . . . . . . . .£160.00

Year 7 Access Student Book . . . . . . . . . . . . . . . . .978 019 914939 1 . . . . . . . . . . . . £15.75

Year 7 Support Student Book . . . . . . . . . . . . . . . .978 019 914848 6 . . . . . . . . . . . . £15.75

Year 7 Core Student Book . . . . . . . . . . . . . . . . . . .978 019 914849 3 . . . . . . . . . . . . £15.75

Year 7 Extension Student Book . . . . . . . . . . . . . .978 019 914847 9 . . . . . . . . . . . . £15.75

Year 7 Access Teacher’s Book . . . . . . . . . . . . . . .978 019 914940 7 . . . . . . . . . . . . £42.00

Year 7 Support Teacher’s Book . . . . . . . . . . . . . .978 019 914846 2 . . . . . . . . . . . . £42.00

Year 7 Core Teacher’s Book . . . . . . . . . . . . . . . . .978 019 914844 8 . . . . . . . . . . . . £42.00

Year 7 Extension Teacher’s Book . . . . . . . . . . . . .978 019 914845 5 . . . . . . . . . . . . £42.00

Year 7 Access Workbook . . . . . . . . . . . . . . . . . . . .978 019 914941 4 . . . . . . . . . . . . . .£5.35

Year 7 Support Homework Book . . . . . . . . . . . . .978 019 914884 4 . . . . . . . . . . . . . .£6.50

Year 7 Core Homework Book . . . . . . . . . . . . . . . .978 019 914885 1 . . . . . . . . . . . . . .£6.50

Year 7 Extension Homework Book . . . . . . . . . . .978 019 914883 7 . . . . . . . . . . . . . .£6.50

Year 7 Homework Answer Book . . . . . . . . . . . . .978 019 914930 8 . . . . . . . . . . . . £15.75

Year 7 Coursemaster CD-ROM . . . . . . . . . . . . . . .978 019 914850 9 . . . . . .£262.00+VAT

Year 7 Animations CD-ROM . . . . . . . . . . . . . . . . .978 019 914976 6 . . . . . .£195.00+VAT
















Year 8 Consolidation . . . . . . . . . . . . . . . . . . . . . . . .978 019 915000 7 . . . . . . . . . . .£100.00

















Year 9 Consolidation . . . . . . . . . . . . . . . . . . . . . . . .978 019 914999 5 . . . . . . . . . . .£100.00


Revision GuidesRevision Guide NC Level 3-5 . . . . . . . . . . . . . . . . .978 019 914942 1 . . . . . . . . . . . . . .£5.75

Revision Guide NC Level 4-6 . . . . . . . . . . . . . . . . .978 019 914943 8 . . . . . . . . . . . . . .£5.75



Ordering

Framework Maths Y8 Core Student Book

t: 01536 452620 f: 01865 313472 [email protected] www.oxfordsecondary.co.ukt: 01536 452620 f: 01865 313472 [email protected] www.oxfordsecondary.co.uk

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Differentiation within the course allows you to meet the needs of individual students

Topics designed to be introduced by the teacher, avoiding the assumption that brighter students can necessarily be left to self-study

Teacher’s Book provides plenty of suggested approaches and all numerical solutions

The first structured KS3/S1-S2 programme for gifted and talented students

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Maths Challenge Book 1 978 019 914777 9 . . . . . . £12.00



Maths ChallengeEnriched material for gifted and talented students

MathswiseMotivate your lower level students

Mathswise Book 1 978 019 914774 8 . . . . . . £13.00

Mathswise Book 2 978 019 914775 5 . . . . . . £13.00

Mathswise Book 3 978 019 914776 2 . . . . . . £13.00

Mathswise Teacher’s Resource Pack 978 019 914569 0 . . . . . . £45.00

11-14 Mathematics Foundation 978 019 914780 9 . . . . . . £11.99

11-14 Mathematics Intermediate 978 019 914781 6 . . . . . . £11.99

11-14 Mathematics Higher 978 019 914782 3 . . . . . . £11.99

11-14 Mathematics Answer Book 978 019 914568 3 . . . . . . £18.50

Book 2 978 019 833742 3 . . . . . . £10.50

Book 3 978 019 833743 0 . . . . . . £10.50

Book 4 978 019 833744 7 . . . . . . £10.50

Book 5 978 019 833745 4 . . . . . . £10.50

Book 6 978 019 833746 1 . . . . . . £10.50

Answer Book 978 019 833747 8 . . . . . . £19.50

Revision and Practice Student Book 978 019 914560 7 . . . . . . £15.99

Revision and Practice Answer Book 978 019 914564 5 . . . . . . £18.50

11-14 Mathematics:Revision and PracticeNo-nonsense material for your core students

Curriculum Mathematics PracticeCovers National Curriculum levels 3-8

Key Stage 3 Mathematics: Revision and PracticeCovers National Curriculum levels 4-7

Maths Challeng Key Stage 3Curriculum 11-14 MathemMathswise

Alpha . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 915150 9 . . . . . . . . . . . . . . £12.00

Beta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 915151 6 . . . . . . . . . . . . . . £12.00

Gamma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 915152 3 . . . . . . . . . . . . . . £12.00

Teacher’s Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 915153 0 . . . . . . . . . . . . . . £42.00

Ordering

Alpha is aimed at Year 7, but is also suitable for especially gifted students in Year 6.

Extension Mathematics

Beta is aimed at Year 8, but can be used as enrichment material throughout Key Stage 3.

Gamma is aimed at Year 9, and provides a platform for gifted students moving onto Key Stage 4.

The Teacher’s Book contains suggested approaches to promote whole-class learning.

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NEW The highly successful Oxford

four-book approach now available for AQA GCSEDue to popular demand, the uniquely effective Oxford four-

This tried-and-tested method offers a choice of four levelled student books to give each student the one single book they really need to succeed. This is how it works:

you choose which of four levelled student books is right for each of your students

topics correspond across all four books so teaching different levels in one class is easy

one double-page-spread per lesson makes classroom management and planning simple

slimmer student books with less irrelevant material are less daunting and more cost-effective

grades are given on each page – Oxford books are so tailored to levels that we have space to dedicate a double page to each grade, not just a single question

Written Communication), and functional skills

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FREE evaluation for 30 days!An Evaluation Pack is available containing a copy of each of the four Student Books, the Foundation Plus Homework Book, plus sample Teacher Guide material, and a demonstration disk of the OxBox CD-ROMs.

AQA Oxford GCSE Maths Evaluation Pack 978 019 912905 8 £60.00

Evaluation

2

AQA GCSE Maths

t: 01536 452620 f: 01865 313472 [email protected] www.oxfordsecondary.co.ukt: 01536 452620 f: 01865 313472 [email protected] www.oxfordsecondary.co.uk

NEW

NEW


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Choose your level: Four overlapping levels, one single Student Book for each – with each giving access to grade C.

Foundation covers grades GFE, with an extra booster section covering grades DC for students who have reached Levels 3-4 at KS3, and are aiming at a target GCSE grade of GFE.

Foundation Plus covers grades EDC, with GF consolidation for students who have reached Level 5 at KS3, and are aiming at a target GCSE grade of EDC.

Higher covers grades DCB for students who have reached Level 6 at KS3, and are aiming at a target GCSE grade of DCB.

Higher Plus covers grades BAA* with DC consolidation for students who have reached Levels 7-8 at KS3, and are aiming at a target GCSE grade of BAA*.

Foundation Student Book 978 019 912891 4 £19.00

Foundation Plus Student Book 978 019 912892 1 £19.00

Higher Student Book 978 019 912893 8 £19.00

Higher Plus Student Book 978 019 912894 5 £19.00

Foundation Homework Book 978 019 912895 2 £6.50

Foundation Plus Homework Book 978 019 912896 9 £6.50

Higher Homework Book 978 019 912897 6 £6.50

Higher Plus Homework Book 978 019 912898 3 £6.50

Foundation Teacher Guide 978 019 912899 0 £50.00

Foundation Plus Teacher Guide 978 019 912900 3 £50.00

Higher Teacher Guide 978 019 912901 0 £50.00

Higher Plus Teacher Guide 978 019 912902 7 £50.00

Course structure and ordering details

Popular OxBox software includes an extensive bank of highly interactive resources, lesson plans, and assessment, and is incredibly easy to use and customize.

Interactive OxBox 978 019 912903 4 £400.00+VAT

Assessment OxBox 978 019 912904 1 £300.00+VAT

14

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202202 203203

Grade EExercise G2.2Properties of triangles

AO

3P

roble

m 6 In triangle B, all the lengths are double the lengths in triangle A. What can you say about the angles within each triangle?

Exa

mple

p The side lengths of this spinner are equal.

1

32

The spinner is rotated about the dot.

What does this rotation show about the angles in the triangle?

1

32 1

3

2 13

2 1

32

Each position looks identical to the previous one.

The angles are exactly the same.

The angles in a triangle add to 180 .

A triangle is a 2-D shape with 3 sides and 3 angles.

1 Calculate the third angle of each of these triangles and state the type of triangle.a 60°, 60° b 37°, 53° c 114°, 33°d 53°, 48° e 45°, 90°

2 The points A( 1, 2) and B(3, 2) are shown. Give the coordinates of a point C, so that triangle ABCa is isoscelesb is right-angled but scalenec is right-angled and isoscelesd is scalenee is equilateral (only an approximate

value of y is possible)f has an area of 4 cm2.

3 Here is a regular hexagon. The yellow triangles are equilateral. The green triangles are isosceles. Calculate the three angles in thea yellow triangleb green triangle.

4 A regular pentagon is shown. Find the number of isosceles triangles with each of these designs.a b c

d e f

5 Calculate the area of trianglea ABC d ABFb ABD e ABG.c ABE.

This spread will show you how to:

Use angle properties of equilateral, isosceles and right-angled triangles

You need to know the properties of these triangles.

The equilateral

triangle is a regular

shape as it has

equal sides and

equal angles.

All its interior

angles are 60°.

Triangle Properties Reflection symmetry

Rotational symmetry

Right-angled One 90 angle marked

No lines of symmetry

Order 1

Equilateral 3 equal angles3 equal sides

3 lines ofsymmetry

Order 3

Isosceles 2 equal angles2 equal sides

1 line of symmetry

Order 1

Scalene No equal angles No equal sides

No lines of symmetry

Order 1

1

2

3

1 2 3 0

y

2

3

x2 3

BA

1

1

C D E

A

F G

B

DID YOU KNOW?

The Bermuda Triangle is a region of the Caribbean sea that forms a roughly isosceles triangle between Bermuda, Puerto Rico and Florida. A large number of ships and planes have disappeared in mysterious circumstances in this area and many theories abound.

G2.2Keywords

Equilateral

Isosceles

Regular

Right-angled

triangle

Scalene

Similar

Triangle

p.330

p.212

AB

Two shapes with

identical angles

are said to be

similar.

Unit

2

Sample pages from AQA Oxford GCSE Maths Foundation Plus Student Book

FFFFFFFoooundddddddatttttttiiiiiion PPPPPPPPlllllllustargets levels C-E

Probability revision

330330 331

Unit

3

331

AO

3P

roble

m 5 Match each equation in set A to its solution in set B. Set A: Set B:

1 For each of these diagrams work out the weight of one box.a b

c d

2 Copy and complete these balances to solve the equations.a x 6 19 b x 4 8

3 Copy and complete to solve these equations.a m 7 13 The inverse of 7 is ___ Subtract 7 from both sides: m 7 ___ 13 ______ m ________b n 9 17 The inverse of 9 is ___ Add ____ to both sides: n 9 ____ 17 ____ n _______

4 Solve these equations using the balance method.a x 5 8 b x 3 14 c x 8 13 d x 3 18e x 9 0 f 5 x 11 g x 4 7 h x 9 6

�

19� 6

�

19 ?� 6 ?

�

8� 4

�

8 ?� 4 ?

Grade FExercise A5.4

The inverse of 5

is 5.

Use the inverse

operation to get x on its own.

In a the inverse

of 4 is 4.

Subtract 4 from

both sides.

In b the inverse

of 3 is 3.

Add 3 to both

sides.

Exa

mple

p Use the balance method to solve these equations.a m 4 15 b n 3 8

a m 4 15 b n 3 8 m 4 4 15 4 n 3 3 8 3 m 11 n 11

The two sides of an equation balance.

You can use the balance method to solve an equation.You do the same to each side to keep the equation balanced.

In this set of scales, the two sides balance.

Add 2 boxes to each side. Take 3 boxes from each side.

Still balanced. Still balanced. 1 box 100 g

If you add or subtract (take away) the same amount from both sides, the scales still balance.


Use the balance method to solve equations

The balance methodA5.4

Start with the equationx 5 11

Subtract 5 from each sidex 5 5 11 5

The solution is x 6.

�

11� 5

�

11 � 5� 5 � 5

Keywords

Balance

Inverse

Sample pages from AQA Oxford GCSE Maths Foundation Student Book

Grades on every page show clearly the levels of demand

FFFFFFFoundddddddattttttiiiiiiontargggggggets levels E-G witth

access to C

Objectives explained right from the start of a topic

Booster section delivers achievable topics at grade C

The Foundation Plus Student Book targets levels C-E.

The Foundation Student Book targets levels E-G, with a special ‘booster’ section allowing access to grade C.

For each student, one single highly focused AQA Oxford GCSE Maths provides four Student Books covering four different ability levels: Foundation, Foundation Plus, Higher, and Higher Plus.

Checklist of key words for each lesson

Full of hints to get your borderline students from D to C

2 AQ

A G

CS

E M

ath

s


14

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book covers the whole course

358358 359359

Unit

3

AO

3

Grade A*Exercise A7.7Further graphical solutionsA7.7This spread will show you how to:

Find the intersection points of graphs of a linear and quadratic function

Solve complex equations graphically by splitting them into two equations

1 Use the graphs to find approximate solutions of the these equations.a x2 2x 3 0 b x2 2x 3 x 1c x2 2x 5 0 d x2 x 0

�

�

�

�

��

� � ��

� �

�

2 Which graph, if any, would you need to add to the grid in question 1 in order to solve each of these equations?a x2 2x 3 b x2 x 5 c 2x 3 0

3 If you have the graph of y x2 4x 2, which one line would you need to draw in order to solve each of these equations?a x2 4x 2 3 b x2 4x 2 0 c x2 4x 2 2x 1d x2 4x 6 e x2 5x x 4 f x2 2x 3 6x

4 If you have the graph of y x3 2x2 5x 1, which graph would you need to draw in order to solve each of these equations?a x3 2x2 5x 1 2x 1 b x3 2x2 2 0c x3 2x2 3x 4 d x3 2x2 5x 1 0e x3 x2 5x 0 f x(x 5) 0

5 a Draw the graph f(x) 2x for 4 x 4.b Draw suitable graphs to solve

i 2x 3 ii 2x 4x 2 iii 2x x2 0

Pro

ble

m 6 a Draw the graph f(x) 24

___ x 1 for 4 x 4.

b Draw suitable graphs to find the approximate solutions of

i 24

___ x 3 ii 24 ___ x x2

c What graph could you draw in order to find the approximate value of √

___ 24 ?

Keywords

Function

Intersection

Transform

Exa

mple

p Given the graph of y 3x2 2x 4, what graph do you need to draw to solve

a 3x2 2x 4 3x 1 b 3x2 6x 0?By drawing the graphs, solve the equations.

a Draw the graph of y 3x 1.b To transform 3x2 6x to 3x2 2x 4 you subtract 4x and subtract 4. Doing the same to both sides: 3x2 6x 4x 4 0 4x 4 3x2 2x 4 4x 4 Draw the graph of y 4x 4.

02

03

04

05

0102 04 06 0

y

2

3

4

5

1

x62 4

y#3x2!2x04

y#3x01 y#04x04

The solutions to part a are approximately x 0.8 and x 1.2.

The solutions to part b are x 2 and x 0.

You can solve x2 5x 7 2 by drawing the graphs of the functions y x2 5x 7 and y 2 and finding the x-value(s) at their point(s) of intersection.

You can use the same graphs to solve other equations, such as x2 8x 1 0.

To transform x2 8x 1 to x2 5x 7, you need to add 3x 6.Adding 3x 6 to both sides of x2 8x 1 0 gives x2 5x 7 3x 6.

Plot the graph of y 3x 6 and see where the two graphs intersect.

4

6

8

22 8 4 6 0

y

4

6

8

2

x42 86

y 3x 6

y x2 5 x 7This solution is at x 0.1. There is a second solution at x 7.9

You do not need

to drawn them.

Sample pages from AQA Oxford GCSE Maths Higher Plus Student Book

HHHHHHHiiiiiigggggghhhhhheer PPPPPPlllllllustargets levels A*-B The Higher Plus Student Book targets levels A*-B.

Frequent opportunities to practise QWC (Quality of Written Communication)

Stretch and challenge to help students achieve higher grades

A grade allocated to each page

392392 393

Unit

3

393

Grade C

This parabola shows the height of a javelin as it is thrown.

1 The graph y 2x2 x 4 is shown. What are the coordinates of the minimum point of the graph?

2 a Copy and complete the table of values for the graph y x2 x 1.

x 3 2 1 0 1 2 3

x2 9

y 7 3

b Plot the points for x and y and join them to form a smooth parabola.

c What is the approximate minimum value of x2 x 1 and for what value of x does it occur?

3 A ball is thrown into the air. The formula, y 20x 4x2, shows its height, y metres,

above the ground x seconds after it is thrown.a Copy and complete the table of values to show the

height of the ball during its first five seconds.

Time(x) 0 1 2 3 4 5

20x4x2

Height (y)

b Use the table to plot a graph to show the ball’s height against time.c Use your graph to find i the maximum height reached by the ball and the time at which

it reaches this height ii two times when the ball is 12 metres above the ground iii the interval of time when the ball is above 15 metres.

Exercise A6.7

The maximum point on the graph shows that the javelin reaches a height of 18 m when it is 30 m away from the throwing line.

Exa

mple

p One part of a roller coaster is modelled using the equation y x2 20x ________

10 10 where x is

the horizontal distance and y is the vertical distance from the start of the section.

a Complete this table of values and use it to plot the graph that shows the path of the roller coaster.

x 0 5 10 15 20

x2 0 25

20x 0 100

x2 20x _________

10 0 7.5

y 10 2.5

b How long is this part of the roller coaster ride?

a x 0 5 10 15 20

x2 0 25 100 225 400

20x 0 100 200 300 400

x2 20x _________

10 0 7.5 10 7.5 0

y 10 2.5 0 2.5 10

b 20 m

10

5

050 10 15 20

Horizontal distance (m)

Ver

tica

l dis

tan

ce(m

)

0

�2

�3

�4

�5

�1

1

2

3

4

y

x�2 2 4�4

y � 2x2� x�4

Keywords

Maximum

Model

Parabola

Quadratic

10

15

5

0

20

100 20 30 40 50 60Horizontal distance (m)

Ver

tica

l d

ista

nce

(m

)

Maximum point

DID YOU KNOW?

When a uniform load is hung from the cables of a suspension bridge they take up the shape of a parabola.

You can model some real-life situations with quadratic graphs.

Using quadratic graphsThis spread will show you how to:

Plot graphs of simple quadratic functions

A6.7

Sample pages from AQA Oxford GCSE Maths Higher Student Book

The Higher Student Book targets levels B-D.

Plenty of problem solving to address AO3

HHHHHHiiiiiiggggggghhhhhhher targets levels B-D

2AQ

A G

CS

E M

ath

s

Arranged by

for easy navigation

Topics correspond across all four books so mixed ability teaching is easy

Each lesson on a

double-page-spread

NEW

Give each of your students the one book they really need

that gives each student the one single book they really need to succeed.

This tried-and-tested method offers a choice of four levelled student books, allocating just one single highly-focused book to each student for the whole course. Learning becomes simpler and more strongly targeted, and therefore more successful.

Written by practising teachers and examiners, Oxford GCSE Maths for Edexcel New 2010 Edition offers you:

extra help to cope easily and effectively with the new

Communication), and functional skills precisely targeted learning to give more of your students the best possible chance to achieve that all-important target grade

grades on each page – our books are so tailored to levels that we have space to dedicate a page to each grade, not just a single question

practical to manage in class, with one double page spread per lesson

really simple and manageable with just one focused book per student

slimmer student books with less irrelevant material are less daunting

highly effective strategies to improve all students grades include stretch and challenge

ideal for use with Results Plus

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FREE evaluation for 30 days!An Evaluation Pack is available containing a copy of each of the four Student Books, Foundation Plus Homework Book, plus sample Teacher Guide material, and a demonstration disk of the OxBox CD-ROMs.

Oxford GCSE Maths for Edexcel New 2010 Edition Specification A (Linear) Evaluation Pack 978 019 913933 0 £60.00

Specification B (Modular) Evaluation Pack 978 019 913934 7 £60.00

Evaluation

HHHHHHHooooooommmmmmmeeeeeeewwwwwwwooooooorrrrrrrkkkkkkk VVVVVVVVLLLLLLLEEEEEE PPPPPPPaaaaaaacccccccckkkkkkkksssssss

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FFFFFFoooooooouuuuuuuunnnnnnndddddddaaaaaaaatttttttiiiiiooooooonnnnnnn SSSSSSSuuuuuuppppppppppppppppoooooorrrrrttttt WWWWWWorkkkkkbbbbbbbookkkkkkSee e page 20 0

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Foundation covers grades GFE, with an extra booster section covering grades DC for students who have reached Levels 3-4 at KS3, and are aiming at a target GCSE grade of GFE.

Higher Plus covers grades BAA* with DC consolidation for students who have reached Levels 7-8 at KS3, and are aiming at a target GCSE grade of BAA*.

Higher covers grades DCB for students who have reached Level 6 at KS3, and are aiming at a target GCSE grade of DCB.

Foundation Plus covers grades EDC, with GF consolidation for students who have reached Level 5 at KS3, and are aiming at a target GCSE grade of EDC.

Foundation Student Book for Specification A (Linear), grades E-G978 019 913950 7£18.99

Foundation Plus Student Book for Specification A (Linear), grades C-E978 019 913949 1£18.99

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Foundation Teacher Guide 978 019 913942 2 £55.00

Foundation Plus Teacher Guide978 019 913941 5 £55.00

Higher Teacher Guide978 019 913940 8 £55.00

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Foundation Homework Book 978 019 913938 5 £6.99

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Foundation Homework VLE Pack978 019 912824 2 £175 + VAT£175 + V

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Course structure and ordering details

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14

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18

230230 231

Unit

2

231


Work out an average speed from a distance–time graph

A3.7 Average speed

You can work out the average speed for a journey from a distance–time graph. Use this formula:

Average speed total distance

___________ total time

The graph illustrates a train journey from York to Banbury.From 8.30 pm until 9 pm the train waits at Birmingham.The whole journey is 200 miles.The whole journey takes 4 hours.The average speed for the whole journey is


____________ total time

200

____ 4 200 4

50 miles per hour

Exa

mple

p Tom cycled to Sam’s house.The graph shows his journey.

a Work out the average speed in km per hour for the first part of Tom’s journey.

b Tom stayed at Sam’s house for 1 1 _ 2 hours.

He then cycled home at a steady speed of 20 km per hour.

Copy and complete the graph to show this information.

a First part of journey, Tom cycles 8 km in 1 _ 2 hour.

Method 1 Method 2 Average speed in km per hour Using the formula: number of km cycled in 1 hour Average speed 8 1 _

2

8 km in 1 _ 2 hour 16 km in 1 hour 16 km per hour

Average speed 16 km per hour

b Tom cycles home at 20 km per hour. So it takes him 1 hour to cycle the 20 km home.

6 pm 7 pm 8 pm 9 pm 10 pmYork

Banbury200

100

Time

Dis

tan

ce (

mil

es)

12 1 pm 2 pm 4 pm3 pm0

10

20

Time

Dis

tan

ce (

km

)

For speeds in

km per hour, use

distances in km

and times in hours.

Grade CExercise A3.7

AO

2Fu

nct

ional

Math

s 1 The graph shows Shani’s journey to her grandmother’s house.a What was the total distance she travelled?b What was the total time for the journey?c Work out the average speed for the

complete journey using the formula


____________ total time

d Copy and complete: Average speed for first part of

journey 2 ____ km per houre Work out the average speed for the

second part of her journey.f Which part of the journey was fastest: first or second?g Copy and complete: The steeper the graph, the _________ the speed.

2 The graph illustrates a boat trip to two islands and then back to port.a How far from port was the first island?b How long did the boat stop at the first

island?c From the graph, on which part of the

trip was the boat travelling fastest? Explain how you know.d Work out the average speed for the

trip to the first island.e How many miles is it from the

first island to the second?f How long did it take to travel from the first island to the second?g Work out the average speed for the second part of the trip, to the

second island.h How far is the second island from the port?i The boat waited for 3 _

4 hour at the second island and then sailed

back to port at a steady speed of 15 miles per hour. Copy and complete the graph for the trip.

j What time did the boat arrive back in port?

3 Here is a graph showing part of Dave’s trip to the dentist.a How far is the dentist’s from Dave’s home?b Dave took 30 minutes to walk to the dentist’s. Work out his walking speed in km/h.c Dave was at the dentist’s for 30 minutes. Then he jogged home at 6 km/h. Copy and complete the travel graph.

12 1 2 3 4 50

40

20

80

60

30

10

70

50

Time

Dis

tan

ce (

km

)

1 pm 2 pm 3 pm 4 pm 5 pm0

10

5

15

Time

Dis

tan

ce f

rom

port

(m

iles

)

0 20 40 60 80 1000

2

1

3

Time (minutes)

Dis

tan

ce f

rom

ho

me

(km

)

Use your answers

to parts e and f.

Keywords

Average speed

Sample pages from the

FFFFFFFoooundddddddatttttttiiiiiion PPPPPPPPlllllllustargets levels C-E

196196 197197

Unit

2

AO

2

Grade F

Exa

mple

p

Use the conversion graph to help you write these temperatures in order, from coldest to hottest. 10 °F 60 °F 10 °C 80 °C 160 °F

To compare temperatures, they need to be measured in the same units.

From the graph, 10 °C 50 °F 80 °C 176 °F

So in order the temperatures are 10˚F

10˚F

50˚F

10˚C

60˚F

60˚F

160˚F

160˚F

176˚F

80˚C

Use the original

values in the

answer.

More conversion graphs

Use the conversion graph for °F to °C on page 340 to answer questions 1 to 3.

1 Convert these temperatures.a 120 °F to °C b 60 °F to °C c 40 °C to °F d 65 °C to °Fe 75 °F to °C f 8 °F to °C g 5 °C to °F h 20 °C to °F

2 Which is hotter?a 20 °C or 20 °F b 150 °F or 40 °C c 18 °C or 60 °Fd 90 °F or 30 °C e 8 °C or 8 °F f 30 °F or 30 °C

3 a The melting point of ice is 32 °F. What is this in °C?b The boiling point of water is 100 °C. What is this in °F?c Average body temperature for humans is 37 °C.

What is this in °F?

A2.8 Exercise A2.8

You can use this conversion graph to converttemperatures in °C to °Ftemperatures in °F to °C.

12

12

10

9

8˚C 46˚F

8˚C 46˚F

8˚C 46˚F

8˚C 46˚F

8˚C 46˚F

8˚C 46˚F

8˚C 46˚F

8˚C 46˚F

8˚C 46˚F

9˚C 48˚F

9˚C 48˚F 9˚C 48˚F

9˚C 48˚F

7˚C 44˚F

7˚C 44˚F

20

25°C10°C

16°F

20 40 60 80 100

40

80

120

160

200

240

°C

°F

40

40 0

A weather forecast often gives temperatures in degrees Fahrenheit (°F) and degrees Celsius (°C).

Exa

mple

p

Use the conversion graph to converta 80 °F to °C b 10 °C to °F.

a To convert 80 °F to °C i Find 80 °F on the °F (vertical)

axis. (This scale goes up in 40s.) ii Draw a line across to the graph. iii Draw a line down from the

graph to the °C (horizontal) axis. iv Read the value off the axis. 80 °F 25 °C

b To convert 10 °C to °F i Find 10 °C on the °C

(horizontal) axis. ii Draw a line up to the graph. iii Draw a line across from the

graph to the °F (vertical) axis. iv Read the value off the axis. 10 °C 16 °F

Funct

ional

Math

s

4 Here is a conversion graph for inches to centimetres.a Use the conversion graph to convert

i 6 inches to cm ii 10 cm to inches iii 4 cm to inches iv 10 inches to cm.

b Use the graph to help you write these sets of lengths in order. i 2 inches 12 cm 13 inches 9 cm 4 inches ii 23 cm 1 inch 16 cm 5 inches 3 cm

c For a handling data project, a group of students measured the lengths of their feet.

Some measured in inches instead of centimetres. i Convert all the measurements in

inches to centimetres. ii Write the students’ feet in order of size.

Name Length of foot

Nadia 19 cm

Mel 10 inches

Jonathan 13 inches

Omar 23 cm

Shelley 10.5 inches

Dustin 12 inches

Jake 29 cm

0 8 124 16 20 28 3224 360

8

4

6

10

14

2

12

Centimetres

Inch

es


Use and interpret conversion graphs

Read values from graphs

Keywords

Degrees

Celsius (°C)

Degrees

Fahrenheit (°F)


Grades on every page show clearly the levels of demand

Foundaaaatttttiiiooooonnnntargets levels E-G witth

access to C

Objectives clearly explained right from the start of a topic

Booster section delivers achievable topics at grade C

The Foundation Plus Student Book targets levels C-E.

The Foundation Student Book targets levels E-G, with a special ‘booster’ section allowing access to grade C.

References to AO2/3 so you are ready for the new assessment objectives

For each student, one single highly focused Oxford GCSE Maths for Edexcel New 2010 Edition provides four Student Books covering four ability levels: Foundation, Foundation Plus, Higher, Higher Plus. N.B. The four Student Books

Both versions cover the same four levels to precisely target learning.

Checklist of key words for each lesson

Full of hints to get your borderline students from D to C


14

–1

6

book covers the whole course

Probability revision

230230 231

Unit

3

231

Grade A/A*

p.314

Exa

mple

p Complete the square on x2 8x 12.

x2 8x 12 (x 4)2 q

(x 4)2 28

Exa

mple

p Write these equations in the form (x p)2 q.

a x2 20x 1 b x2 5x 8 c 2x2 8x 6

a x2 20x 1 (x 10)2 q (x 10)2 1 100 (x 10)2 99

b x2 + 5x + 8 ( x + 5 _ 2 ) 2 + q

( x + 5 _ 2 ) 2 + 8 ( 5 _

2 ) 2

( x + 5 _ 2 ) 2 + 7 _

4

c 2x2 8x 6 2(x2 4x 3) 2[(x 2)2 1] 2(x 2)2 2

Exercise A4.2

1 Complete the square on these quadratic expressions.

a x2 4x 6 b x2 8x 15c x2 10x 26 d x2 4xe x2 12x 10 f x2 14x 25g x2 4x 10 h x2 8x 3i x2 16x 1 j x2 3x 4k x2 5x 6 l x2 7x 10m x2 9x n x2 5x 2o x2 11x 4

2 Write these expressions in the form (x p)2 q where p and q are positive or negative integers.

a x2 30x 90 b x2 2 16xc 7x x2 d x2 17x 2

e x2 + 1 _ 2 x 1 f x2 9x 11

3 Complete the square on these expressions.

a 2x2 6x 4 b 3x2 6x 9c x2 6x 2 d 5x2 10x 15e 6x 8 x2 f 2x2 7x 3

4 a Explain why it is difficult to make x the subject of x2 2bx c.b Complete the square on x2 2bx.c Using your answers from parts a and b, show that it is possible to

make x the subject of x2 2bx c and that

x √ ______

c b2 b

5 Make x the subject of these equations by completing the square first.

a x2 4cx k b x2 6x t3

c x2 m 6gx 0 d 2x2 4cx p

AO

3P

roble

m 6 By completing the square on ax2 bx c 0, prove the quadratic equation formula.

x b √

________ b2 4ac _______________

2a

Completing the square means writing a quadratic as a squared bracket plus an extra term.

Some quadratics factorise into squared brackets without an extra term.

For example, x2 2x 1 (x 1)(x 1) (x 1)2

x2 4x 4 (x 2)(x 2) (x 2)2

x2 6x 9 (x 3)(x 3) (x 3)2

x2 8x 16 (x 4)(x 4) (x 4)2

Some quadratics factorise into the form (x p)2 q.

For example,

12

Coefficient of 10 10 5 ( 5)( 5)

2 10 15 ( 5)2 ? ( 5)2 10

Expanding ( 5)( 5) givesconstant term 25. You onlywant 15, so subtract 10.

12 6 3 ( 3)2

2 6 20 ( 3)2 ? ( 3)2 11

( 3)2 constant 9.You want 20, so add 11.

Notice that

the number in

the squared

bracket is half

the coefficient of

the x term in the

original quadratic

expression.

( 4)2 is 16, so

subtract 28 to

give the 12

required.

You can write the

constant you want

(1) and subtract

100 (102).

This means

‘complete the

square’.

With odd coefficients,

it may be best to

work with fractions.

8 25

__ 4

32 25

______ 4

7

__ 4

Factorise first.


Solve quadratic equations by completing the square

Completing the squareA4.2Keywords

Coefficient


HHHHHHiiiiiigggggghhhhhhheer PPPPPPlllllllustargets levels A*-B The Higher Plus Student Book targets levels A*-B.

Frequent opportunities to practise QWC (Quality of Written Communication)

Stretch and challenge to help students achieve higher grades

A grade allocated to each page

Plenty of examiners’ tips

392392 393U

nit

3393

Grade C

This parabola shows the height of a javelin as it is thrown.

1 The graph y 2x2 x 4 is shown. What are the coordinates of the minimum point of the graph?

2 a Copy and complete the table of values for the graph y x2 x 1.

x 3 2 1 0 1 2 3

x2 9

y 7 3

b Plot the points for x and y and join them to form a smooth parabola.

c What is the approximate minimum value of x2 x 1 and for what value of x does it occur?

3 A ball is thrown into the air. The formula, y 20x 4x2, shows its height, y metres,

above the ground x seconds after it is thrown.a Copy and complete the table of values to show the

height of the ball during its first five seconds.

Time(x) 0 1 2 3 4 5

20x4x2

Height (y)

b Use the table to plot a graph to show the ball’s height against time.c Use your graph to find i the maximum height reached by the ball and the time at which

it reaches this height ii two times when the ball is 12 metres above the ground iii the interval of time when the ball is above 15 metres.

Exercise A6.7

The maximum point on the graph shows that the javelin reaches a height of 18 m when it is 30 m away from the throwing line.

Exa

mple

p One part of a roller coaster is modelled using the equation y x2 20x ________

10 10 where x is

the horizontal distance and y is the vertical distance from the start of the section.

a Complete this table of values and use it to plot the graph that shows the path of the roller coaster.

x 0 5 10 15 20

x2 0 25

20x 0 100

x2 20x _________

10 0 7.5

y 10 2.5

b How long is this part of the roller coaster ride?

a x 0 5 10 15 20

x2 0 25 100 225 400

20x 0 100 200 300 400

x2 20x _________

10 0 7.5 10 7.5 0

y 10 2.5 0 2.5 10

b 20 m

10

5

050 10 15 20

Horizontal distance (m)

Ver

tica

l dis

tan

ce(m

)

0

�2

�3

�4

�5

�1

1

2

3

4

y

x�2 2 4�4

y � 2x2� x�4

Keywords

Maximum

Model

Parabola

Quadratic

10

15

5

0

20

100 20 30 40 50 60Horizontal distance (m)

Ver

tica

l d

ista

nce

(m

)

Maximum point

DID YOU KNOW?

When a uniform load is hung from the cables of a suspension bridge they take up the shape of a parabola.

You can model some real-life situations with quadratic graphs.

Using quadratic graphsThis spread will show you how to:

Plot graphs of simple quadratic functions

A6.7


The Higher Student Book targets levels B-D.

Plenty of problem solving to address AO3

Grade C

HHHHHHiiiiiigggggggghhhhhhher targets levels B-D

Each lesson on a

double-page-spread

Arranged by

for easy navigation

20

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Homework BooksHandy pocket-sized Homework Book to go with each of the Student Books provides a huge amount of practice material to help consolidate learning.

Homework VLE PacksNow homework options are even more

the pages in the Homework Book, for use within your school’s VLE system. There is one pack for each level, and a Bumper Pack containing all four.

Foundation Support WorkbookA low-ability practice resource for GCSE that your students can write in. Written by authors with over 25 years experience of writing for low-ability maths, the exercises emphasise positive achievement and help provide access to slightly higher grades.

Teacher GuidesTeacher resources are available for each level, and provide comprehensive help with lesson plans and practical advice for all levels of teaching experience. Also ideal for

3

Objectives● Understand, recall and use Pythagoras’

theorem in 2-D ● Calculate the length of a side of a right

angled triangle given the lengths of the other two sides in a 2-D shape

Useful resources● Mini whiteboards● Coloured squares of paper, of different sizes,

labelled with the square’s area size● Past GCSE question

StarterAsk students to estimate square roots, for example of 10, 12, 18 and 20. Accuracy should be initially between two values, then to a rough decimal point. These can be checked with a calculator.

Teaching NotesAsk pairs of students to recall as much as they can about Pythagoras’ theorem for 2–3 minutes.Share the information, and model the theorem using coloured squares of paper to make three triangles. One where two smaller squares add to less than the third square, one with the two smaller squares totalling the third and one where the two smaller add to more than the third. The triangles illustrated can then be examined as obtuse-angled, right-angled and acute-angled.Check that students can recognise which side of a triangle is the largest; ask them to explain how they know.In pairs, ask students to solve two problems on right-angled triangles. Check results and ask them where they think most mistakes are likely to occur in such problems. Share these points, recording important points as a preliminary to some consolidation.

PlenaryTake a straightforward past GCSE question on the topic, extending it with further questions if necessary. Ask as many individual students as possible to give strategies or procedures for each stage of the question, building up the solution from the whole group. Ask others to help in corrections if necessary, or to disagree and offer alternatives, finally showing a complete and thorough solution.

Exercise commentaryA common mistake made by students where the rule is learned with little context is to assume that a procedure involving adding is always applied. However, students readily see the common sense of the ‘two smaller adding to the larger’ when it is made explicit. It helps to have a mix of problems, finding the hypotenuse or another side, rather than dealing with these as two separate types of problems. The other potential area for error is forgetting to find the square root.

SimplificationProvide students with a template to help organise their calculations.

(hypotenuse)2 � (first short side)2 � (second short side squared)2

(hypotenuse)2 � ( )2 � ( )2

�

hypotenuse � √ _________

� cm

ExtensionInvite students to carryout a dissection and rearrangement proof of the theorem.Draw any right angled triangle and construct squares on each side. Find the middle of the mid-sized square and draw lines parallel and perpendicular to the hypotenuse.Cut out the small square and four triangles, can these be rearranged to fit exactly in the square on the hypotenuse?

G7.4 Pythagoras’ theorem

3

del the theoremto make three

er squares add e with the two rd and oneore than the

an then beht-angled and

se which side hem to explain

wo problems onsults and ask stakes are . Share these

nts as a on.

E question on her questions ifual students as cedures for

ding up the Ask others toor to disagree owing a .

hypotenuse � √√ � cm

ExtensionInvite students to carryout a dissection andrearrangement proof of the theorem.Draw any right angled triangle and constructsquares on each side. Find the middle of themid-sized square and draw lines parallel and perpendicular to the hypotenuse.Cut out the small square and four triangles, can these be rearranged to fit exactly in thesquare on the hypotenuse?

2

Objectives● Find the volume of a cuboid from counting

cubes● Recall and use the formula for the volume of

a cuboid

Useful resources● Number fans● Nets of cuboids worksheet – four having the

same volume (say 24 cm3) and a fifth having a different but close volume (say 25 cm3)

● Isometric paper● Small cubes

StarterAsk students to give responses using a number fan, to questions on simple squares of numbers, cubes of numbers, and square/cube roots.Build more challenging square root questions as appropriate, asking for estimates or nearest whole number answers.This may be extended to cube roots of numbers near to simple solutions.

Teaching NotesBriefly discuss the meaning of the measure volume.Ensure that students understand what a cuboid is, and discuss strategies for finding its volume. Progress from counting cubes to giving the formula (discuss the analogy with finding the area of a rectangle).Discuss the example in the student book – part b is a shape made from two cuboids.Arrange students in groups of three or four. Give out the worksheet showing nets of five different cuboid boxes. The aim is to establish which box will hold more. The group should first discuss and agree on a box before any cutting or assembling, then revise their decisions afterwards.Comparisons of surface area could be an extension to the group work: which has the largest/smallest surface area?Groups should report their findings to the whole class.

PlenaryChallenge students to find as many different cuboids with volume 36 cm3 as they can. Give thinking time before selecting various dimensions from the students. Are these all the possible ways? How do you know? What if half centimetres are allowed?

G7.2 Volume of a cuboid

Exercise commentarySome students believe that the words length, width (or breadth) and height are specific directional dimensions and will want to know which is which, to enable them to process the volume formula. It is worth pointing out that the names are simply for convenience.A better way of applying the formula might be to take any corner (vertex) and use each of the three dimensions there. This again helps to reinforce the use of correct units and the concept of dimensions.Ensure that students write cubed units in their answers.

SimplificationProvide students with isometric paper and ask them to draw the cuboids in question 1 showing individual unit cubes. Ask students how many cubes are in the top layer; agree that this is most easily found as ‘length � width’. Ask how many layers of cubes are there and then how many unit cubes are in the cuboid; agree that this is most easily found as ‘length � width � height’. Turn the paper on its side and agree that the formula still works in the new orientation. As necessary use small cubes to reinforce understanding.

ExtensionDraw a 3 � 3 � 3 cube and challenge students to find its surface area. (54 cm2) A second cuboid also has surface area 54 cm2, challenge students find its dimensions. (1 � 3 � 6).

Sample pages from the Foundation Plus Teacher Guide

Thorough lesson plans, linked to Student Books

Exercise commentary provides focus on new requirements

NEW

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What OxBox will do for you!Popular OxBox software provides unique electronic support for Oxford GCSE Maths for Edexcel New 2010 Edition. It includes an extensive bank of highly visual interactive resources, lesson plans, formative and summative assessment, and is incredibly easy to use and customise to your own unique requirements.

Also provides paper-based tests to print off

IIIIIInnnnnnnttttteeeeeerrrrraaaaaaacccccctttttttiiiiiivvvvveeeeeee AAAAAAAsssssssssssssseeeeesssssssssssssmmmmmmmeeeeeennnnnttttttttInteractive case studies

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Schemes of

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Formative and summative assessment

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Self-assessment checklists

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Oxford and OCR working together to help your students succeedIn official partnership with OCR we offer a highly achievable route

in either a linear or modular way. Oxford GCSE Maths for OCR will give you:

a clear and straightforward route to exam success, combining clarity and simplicity with rigour and challenge

a great deal of extra help with AO3 problem-solving, QWC Functional Maths

special boosts to help D students achieve C, and C students a B

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2222

Course structureStudent Books

Foun

dati

on

The two spread-based Student Books provide simplicity, pace, flexibility, and engagement, with objectives clearly labelled and arranged as they appear in the specification.

Hig

her

Foundation Student Book978 019 913929 3 £18.99

Higher Student Book978 019 913928 6 £18.99

Teacher Guides Practice Books Revision Guides Software

Foundation Teacher Guide978 019 912728 3 £80.00

Higher Teacher Guide978 019 912729 0 £80.00

Foundation Practice Book978 019 913930 9 £6.75

Higher Practice Book978 019 913931 6 £6.75

Interactive OxBox CD-ROM978 019 913932 3 £435.00+VAT

Assessment OxBox CD-ROM978 019 912730 6 £320.00+VAT

Comprehensive teacher resources are full of practical and accessible lesson plans, designed to make teaching easier for the whole range of teaching needs, including NQTs and non-specialists.

Two handy pocket-size Practice Books provide plenty of extra material to practise essential concepts, plus a free CD-ROM with PDFs of the pages.

With exercises, questions, practice papers, worked examples, and includes free CD-ROM.

Popular OxBox software provides unique electronic support for Oxford GCSE Maths for OCR, to bring engagement to your classroom and save you an incredible amount of time.

O Bo CD ROM

OxBox CD ROMFoundation Revision Guide978 019 912804 4 £7.00

Higher Revision Guide978 019 912805 1 £7.00

Free for 30 days!

Oxford GCSE Maths for OCR Evaluation Pack 978 019 913927 9 £32.00

Evaluation

See pappp geggg 24 for new

OCR Revision Guides s

and Linked Paiir


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Foundation Student Book

Student Books and Practice Books

Higher Student Book

Higher Practice Book

Lots of problem-solving to thoroughly address AO3

Intro pages in both Student Books set learning in an engaging context

Rich tasks to practise a variety of skills and knowledge

Focus on techniques needed to boost your Ds up to Cs

Plenty of the right sort of practice for the new questioning style

Practice that addresses AO2 and AO3 in the same way as the new exams

Functional maths fully incorporated and embedded throughout

‘Check in’ sections to make sure students have the necessary knowledge to start a new topic

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Teacher Guides

OCR GCSE Maths Linked Pair Pilot Teacher Pack

Comprehensive teacher resources full of accessible and practical lesson plans.

These are the endorsed OCR resources for the GCSE Linked Pair pilot. They contain material to cover all the new GCSE topics, as well as practice assessments written by senior examiners.

Revision GuidesNew Revision Guides by experienced teachers and senior examiners are full of exercises, questions, and practice papers. They include worked examples and examiner hints and tips.

ck

Foundation Revision Guide978 019 912804 4 £7.00

Linked Pair Pilot Teacher Pack978 019 912887 7 £75.00

Higher Revision Guide978 019 912805 1 £7.00

Partnership resources to support the OCR Functional Skills Maths qualificationThis CD-ROM covers Levels 1, 2, and Entry Level 3, and is

Real-life scenarios similar to those you’d get in the exam

Comprehensive teacher guidance

Full mark scheme so you can see how marks are awarded

Also ideal for your KS3 and GCSE students

Functional Maths for OCR . . . . . . . . . . . . . . . . . . . . 978 019 913882 1 . . . . . . . . . £80.00+VAT

Ordering

Aim

to demonstrate how mathematics can be applied to create works of art

Case study 7: Art

C21

152

Useful resources Art starter Presentation Art enlargement Presentation Art polar coordinates Presentation Art polar coordinates Presentation

Simplification

Teaching notes After using the Art starter presentation, you could begin by showing students a picture of some graffiti on a wall and ask them how they think the artist would approach creating such a large design.

Let students consider the first block of text and answer the related questions. You might use Art enlargement presentation to help with this. Ensure that they understand the concept of using a scale factor.

Show students the image of the polar coordinate grid. Carefully explain how a point is plotted and described on such a grid. Use the example point P to demonstrate, before students attempt the related questions. The Art polar coordinate presentation will help to illustrate this further.

Ensure that they are comfortable with the basic principals of a polar coordinate grid, plotting and describing points.

Show students a picture of a circle and of a spiral and ask how they could describe the difference between them (a circle has constant radius, but the radius of the spiral changes).

Look at the image of the circle and the spiral drawn on the polar grid. Work through the questions with students to ensure they understand this concept of plotting a circle or spiral on the grid.

Apply what students have learnt about circles and spirals by looking at the photo of the crop circle and encourage discussion to identify the circles/spirals involved by looking at the radii.

Encourage students to research other crop circles to see if they can identify circles or spirals as part of the designs.

Extension


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What OxBox will do for you!Popular OxBox technology gives you an extensive bank of highly visual, compelling, interactive resources, lesson plans, formative and summative assessment, and is incredibly easy to use and customise to suit your own unique requirements.

Assessment checklists so students can control their own learning

Summative assessment needed to thoroughly prepare for exams

Interactive graphing and geometry tools

Activities for use with Autograph, Cabri, and TI software

Formative/adaptive assessment that students need to embed learning

Customisable lesson plans with handy links to resources

Interactive case studies

Thorough and

on-screen assessment

Schemes of

planning

Renowned Rayners now even better than ever!

GCSE Mathematics: Revision and Practice by David Rayner remains an all-round winner. Available in a completely new edition for the new 2010

will continue to increase your students’ chance of success with your chosen exam board.

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26

by David Rayner

CCann bbbbbbeeee uuuussssseeeeeedddddd wwwwwwwiiiiiittttttthhhhhh aaaaannnnnnnyyyyyyy

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BBBBBByyyyyy DDDDDDDDaaaaaaaavvvvvvviiiiiiiddddddd RRRRRRRRRayyyyyyner

Real life links to engage students


Lots of questions with gradual progression

Problem solving highlighted to address the new changes

For all exam boards


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Renowned for helping record numbers of students to GCSE success, this is the most trusted and successful GCSE mathematics course ever. Author David Rayner is well-known for his straightforward and coherent style, and the updated version retains the unique bestselling combination of gradual progression and well-planned practice that has proved so effective.

Written by the most popular and experienced GCSE Maths author

Can be used with any exam board

Gradual progression with practice at every level to consolidate learning

Very clear structure and content make books very easy to use alongside other materials

Higher Student Book

GCSE Mathematics: Revision and Practice New 2010 Edition

Foundation Student Book . . . . . . . . . . . . . . . . . . . . . 978 019 913925 5 . . . . . . . . . . . . . . £21.00

Higher Student Book. . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 913926 2 . . . . . . . . . . . . . . £21.00

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Higher Student Book

Higher Student Book

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Real life links to engage students

A03 Problem solving highlighted to address the new changes

Lots of questions with gradual progression

NB. The previous edition of GCSE Mathematics:Revision and Practice is still available, ordering details are on the enclosed order form.

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IGC

SE

NEW

Student Books 3rd edition

Mathematics for Cambridge IGCSE: Core & Extended

Core Mathematics for Cambridge IGCSE . . . . . . . . . . 978 019 913872 2 . . . . . . . .£18.00

Extended Mathematics for Cambridge IGCSE . . . . . . 978 019 913874 6 . . . . . . . .£18.00

Core Mathematics for Cambridge IGCSE Teacher’s Resource Kit . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 913873 9 . . . . . . . .£45.00

Extended Mathematics for Cambridge IGCSE Teacher’s Resource Kit . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 913875 3 . . . . . . . .£45.00

Cambridge IGCSE Mathematics Revision Guide . . . 978 019 915487 6 . . . . . . . .£11.50

Edexcel Mathematics for IGCSE . . . . . . . . . . . . . . . . . . 978 019 915262 9 . . . . . . . .£18.50

Oxford Content and Language Support: Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 913529 5 . . . . . . . .£13.50

Ordering

These trusted, levelled student texts by David Rayner are now even more comprehensive with free student CD-ROMs of extra activities and new teacher support. Thousands of graduated practice questions will help students apply their learning and achieve exam success.

Endorsed by University of Cambridge International Examinations

Teacher’s Resource Kits

New, invaluable teaching support for this trusted course, with convenient and customisable digital material. Contains a wealth of lesson plans and worksheets, plus customisable PowerPoints, trial exam papers and extension activities.

Plus suggestions and ideas for approaching tricky concepts to ensure you get the best from your students.

Cambridge IGCSE Mathematics Revision Guide

Help all your students achieve exam success with this comprehensive revision guide. David Rayner’s clear, graduated approach will challenge your most able while still supporting those who need extra practice.

Edexcel Mathematics for IGCSEThis comprehensive, endorsed textbook offers carefully compiled exercises and explanations, along with worksheets, a PDF of the book and extra material for Foundation Level on a free CD-ROM.

OCLS MathmaticsFor EAL/ESL/E2L/EFL 13-16 year olds preparing for a Maths examination in English

These unique, easy-to-use practice books support students whose true capabilities in maths might be

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books support maths might be

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The most popular resource offering the clearest and best route to exam success

Statistics GCSE for AQAand it is still the best. Totally in tune with the new curriculum, it brings the study and interpretation of statistics to life, making it clear and compelling for all your students.

Overlap with GCSE Maths clearly shown, to enable teaching to be focused most effectively

ICT is incorporated throughout as an integral part of the course

Unique links to popular Autograph software

Coursework section replaced with new Controlled

Plenty of practice papers and recent past exam questions

All you need for both Foundation and Higher GCSE Statistics in a single book

Covers all the appropriate terminology for GCSE/Standard Grade

to add depth and understanding.

Straight to success for your GCSE Statistics students!

Oxford Mathematics Study Dictionary

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Statistics GCSE for AQA Student Book . . . . . . . . . . 978 019 913430 4 . . . . . . . . £20.50

Oxford Mathematics Study Dictionary . . . . . . . . . . 978 019 911688 1 . . . . . . . . £11.99

Ordering

Ordering

IGC

SE

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Ideal for re-takes

GCSE Maths in a Year does exactly what it says on the cover. Ideal for re-sits, returners to study, and anyone looking for a fast-track GCSE course, it is fully focused on achieving that all-important C grade. It can be used for the Foundation or Higher tier entry of any of the exam boards, and the spread-based unit structure makes it suitable for either modular

Functional mathematical contexts make it more motivating for a slightly older age group.

The single-volume passport to fast-track maths success!

From GCSE Maths in a Year

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Suitable for O Level and a wide range of other international syllabuses, this book includes answers at the back of the book. Written by David Rayner.

978 019 914278 1 £15.99

This popular textbook is especially useful as a one-volume revision course for students aiming for GCSE and Standard Grade grades B to E. Answers are included at the back of the book.

978 019 914256 9 £12.85

Ideal for those taking O Levels, this tried and trusted book is written by David Rayner.

978 019 914350 4 £16.99

Suitable for O Level other international s

Ideal for those takinand trusted book is

This popular textbooas a one volume rev

General Mathematics: Revision and Practice

Basic Mathematics: Revision and Practice

Complete Mathematics for GCSE and Standard Grade

OrderingGCSE Maths in a Year Student Book . . . . . . . . . 978 019 915156 1 . . . . . . . £19.50

Contextual problems later on

Worked examples to encourage familiarity and improve technique

Simple questions at the start to develop technique

Key points to focus learning and aid revision


Fully endorsed by AQA

Advanced Level Mathematics

Full of past paper questions to ensure students reach required level

Includes specimen exam papers, written by senior examiners

The best endorsed resources for AQA Modular A Level

Post–

16

Core Maths C1 & C2 . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 914936 0 . . . . . . . . . . . . .£23.50

Statistics S1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 914937 7 . . . . . . . . . . . . .£13.99

Mechanics M1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 914938 4 . . . . . . . . . . . . .£13.99

Further Pure FP1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 914985 8 . . . . . . . . . . . . .£14.99

Core Maths C3 & C4 . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 914987 2 . . . . . . . . . . . . .£23.50

Statistics S2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 914986 5 . . . . . . . . . . . . .£13.99

Decision Maths D1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 914988 9 . . . . . . . . . . . . .£13.99

Mechanics M2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019 914989 6 . . . . . . . . . . . . .£13.99

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Core Maths C1+C2

MATHS FOR ADVANCED LEVEL

Key points highlighted throughout to help clarify ideas

Worked examples with clear explanations

Endorsed by

Plenty of targeted exercises to help ensure understanding

Clearly illustrated throughout for visual clarity

Student-friendly hints to enhance understanding

Why not change to something newer and more inspiring?Oxford A Level Mathematics for Edexcel covers the latest curriculum and takes a completely fresh look at presenting the challenges of A Level.

Books endorsed by Edexcel

Offers a chance of real success to more of your students

Includes tactics to help cut early student drop-out rates

Boosts performance of average students

Includes stretch material to push brighter students on

A wealth of bridging material smooths transition from GCSE to A Level

So why not use this opportunity to replace your current, old, A Level texts with new and more inspiring materials?

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32

g

…uncomplicated explanations

and definitions…very good

glossary…key points easy to

identify…plenty of examples

ranging from straightforw

ard to

lengthy questions that sho

uld

make the more able think…very

clear and concise…definitely

worth consideration.

Mathematics in School

A Level Mathematics for Edexcel

Plus unique OxBox software that really is new and differentThe OxBox CD-ROMs provide material to consolidate students’ learning at A Level. Each CD-ROM contains a wide range of summative and formative assessment materials, including a wealth of exam-style questions, ideal exam preparation for all students, and links to Autograph software for A2 students.


Post–

16

How can this new Oxford course help more of my students achieve real success at A Level?

Page from Mechanics M2

Page from Decision D1

Page from Mechanics M2

Clear explanations, aims and layout help inspire students to realize how they can succeed at A Level.

FFFFFFFFFRRRRRRRRREEEEEEEEEEEEEEEEEE CCCCCCCCCDDDDDDDDD--RRRRRRRRROOOOOOOOOMMMMMMMMMwiwiwiwiwiwiwiwwiththththththththh C CCCCCCCorororororororore e eeeeee bobobbobobobbobookokokokokokokoks s ssssss gigigigigigigig vevevevevevevves s sssss exexexexexexeextrtrtrtrtrtrtrtrra a aaaaaaprprpracacactititicecece, , GCGCGCSESESE t tto oo A A A lelelevevevel l lbrbrbridididgigig ngngng m matataterereriaiaial ll ananand d dPoPoPoPoPoPooowewewewewewewerPrPrPrPrPrPPoioioioioiointntntntnntntnt ww wwwwworororororooorkekekekekekeked d ddddd exexexexexexexamamamamamamamplplplplpplplllesesesesesesesss..

Introduction pages check that students are prepared for each chapter and clearly state the objectives

End-of-chapter summaries consolidate learning and aid revision

‘Links’ feature inspires students by linking the chapter content to its real-life application

Review sections give students lots of exam practise and revision material

All-new exam questions cover the latest curriculum

A Level M

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Further Pure FP3

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Pages from Core C3/C4

A Level Mathematics for Edexcel

Core C1/C2 (includes free CD-ROM) . . . . . . . . . . 978 019911779 6 £22.00

Decision D1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019911780 2 £11.50

Mechanics M1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019911781 9 £11.50

Statistics S1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019911782 6 £11.50

Further Pure FP1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019911783 3 £12.50

Core C3/C4 (includes free CD-ROM) . . . . . . . . . . 978 019911784 0 £22.00

Decision D2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019911785 7 £14.25

Mechanics M2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019911786 4 £11.50

Statistics S2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019911787 1 £11.50

Further Pure FP2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019911788 8 £14.25

Further Pure FP3 . . . . . . . . . . . . . . . . . . . . . . . . . . . 978 019912740 5 £14.50

AS Teaching and Learning OxBox CD-ROM . . . . 978 019911789 5 £350.00+VAT

A2 Teaching and Learning OxBox CD-ROM . . . . 978 019911790 1 £350.00+VAT

NB.The OxBox CD-ROMs can be used with any A Level syllabus

Ordering

Clearly marked key points, worked examples and derivations focus students’ learning

FFFFFFFFFRRRRRRRREEEEEEEEEEEEEEEEE CCCCCCCCCDDDDDDDD---RRRRRRRROOOOOOOOMMMMMMMMMwiwiwiwiwiwiwiwiw thththtthththtth C CCCCCCCCororoororororore e eeeee bobobobobbobob okokokokokokokokks s sssssss gigigigiggigigg veveveveveveveves s s ssssssexexextrtrtra a a prprprpp acacactiticece, , ,,,, GCGCGCSESESE t t to ooA A A lelelevevevell l brbrb ididdggigingngng m mmatataterereriaiaal llananananananand d ddddd PoPoPoPoPoPoPowewewewewewewewerPrPrPrPrPrPrPPoioioioioiooioio ntntntntntnt ww ww wwororororororoorkekekekekekekeed d dddddexexexexexexexe amamamamamamamammplplplpplpplpplesesesesesesss......

Steady progression of exercises gives practice at all levels

Material arranged in digestible sections with regular practice questions and revision

Investigations to explore concepts further

More stretch and challenge to differentiate between your most able students

Course Companion: Mathematical Studies

Mathematical Studies for the IB Diploma: IB Study Guide

Mathematics Standard Level for the IB Diploma

Mathematics Higher Level for the IB Diploma

Uniquely developed with the IB. Packed with worked examples, exercises and activities, plus offers essential advice and guidance for the Mathematical Studies project.

978 019 915121 9 . . . . . . . . . . . . . . . . £23.00

Allows students to further understand basic concepts and reinforce their knowledge. It provides stepped examples to help students progress with plenty of exam practice and test-taking advice.

978 019 915242 1 . . . . . . . . . . . . . . . . £18.99

Comprehensive coverage, with key facts and worked examples to help students understand techniques. Unique support for graphical calculator skills.

978 019 914979 7 . . . . . . . . . . . . . . . . £26.50

Helps students achieve their full potential. Packed with levelled exercises and exam practice with a free CD-ROM containing extra practice activities.

978 019 915226 1 . . . . . . . . . . . . . . . . £30.00(Includes free CD-ROM)

IB


Post–

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Advanced Level resources to cover all specificationsWe publish a wide variety of established and well-respected resources to cover all A Level

which levels and subjects are covered by each book.

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Introducing, Understanding, and Further Pure Mathematics take students from AS to A2 and beyond. Answers are provided at the back of each book.

Introducing Pure Mathematics978 019 914803 5 . . . . . . . £32.00

Understanding Pure Mathematics978 019 914243 9 . . . . . . . £32.00

Further Pure Mathematics978 019 914735 9 . . . . . . . £32.00

AS and some A2

Introducing Understanding Further

A2 and 1st year university

A level and up to 1st year university

Introducing, Understanding, and Further Mechanics take students from AS to A2 and beyond. Answers are provided at the back of each book.

Introducing Mechanics978 019 914710 6 . . . . . . . £32.00

Understanding Mechanics978 019 914675 8 . . . . . . . £32.00

Further Mechanics978 019 914738 0 . . . . . . . £32.00

AS and some A2 A2 and 1st year university

A level and up to 1st year university

Introducing and Understanding Statistics cover Statistics from AS up to A-level and university, both as a subject in its own right and as part of Mathematics. Answers are provided at the back of each book.

Introducing Statistics978 019 914801 1 . . . . . . . £32.00

Understanding Statistics978 019 914391 7 . . . . . . . £32.00

AS and some A2 A level and up to 1st year university

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Oxford GCSE Maths for OCR

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