Maths Catalogue 2c259

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Geometry Angles and shapes

F S P

Front elevation Side elevation Plan view

Plans andd eelev ele elevations le lev leva eva ev vaation titi ns tio tions

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Extension activites promoting deeper thought

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

Misconceptions highlighted to pre-empt barriers to learning

Levelled past exam questions for every chapter Worked solutions Offers a range of approaches to achieve key indicators

Links to the wider curriculum to promote engagement and encourage further research Page from the Algebra Sequences unit in

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

MathsLinks Y7 Teacher Guide C (NC levels 5-6)

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F 01865 313472 www.OxfordSecondary.co.uk [email protected]

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11–14

Real-life scenarios promote the application of functional maths

Engaging and relevant problems designed to encourage student learning

Opportunities provided to encourage personal learning and thinking skills (PLTS)

Page 5 from the Functional Maths chapter in MathsLinks Y8 Student Book B (NC levels 5–6)

OxBox software also available MathsLinks OxBox software really is new and different – motivating, interactive, and easy-to-use. se. The Assessment OxBox is especially suitable for APP (Assessing Pupils’ Progress), and it will do allll the hard work of assessment – including setting, marking, and reporting – for you. A full site licence is iincluded l d d iin the h price, i 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 new curriculum.

Easy to customise and add in your own resources

Screens from Y7 Assessment OxBox

Choosing your test...

6

testing...

reporting...

11–14 The KS3 course that actively encourages upward progression for all your students Framework Maths and the new curriculum The new KS3 curriculum has made Framework Maths more relevant than ever before because it already covers the new requirements, so nothing needs to be ‘bolted on’ as an afterthought. The five ability tiers in Framework Maths are perfect for the personalised approach

C Consider adding new OxBox CD-ROMs O Specifically created for the new curriculum, new MathsLinks OxBox 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.

Framework Maths already has a strong emphasis on

It also does all the time-consuming bits of lesson planning for

problem solving, functional maths and real-life

you, and makes it simple and easy to implement every aspect of

applications

APP (Assessing Pupils’ Progress). See page 6 for more details.

Create your own schemes of work and assessments to deliver the curriculum flexibly

9 e g a p e Se ering for ord details Find out more 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

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Course Structure

Framework Maths levels Framework Maths covers the revised National Curriculum thoroughly, actively targeting and encouraging upward progression through five different tiers for each year. All you need is one book per student per year. The chart below shows exactly which National Curriculum levels are covered by the different parts of the course.

BASICS

YEAR 7

For students who will probably go on to an Entry level qualification at Key Stage 4

ACCESS

P7 to NC Level 3a

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

NC Levels 3-4

NC Levels 3-5

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

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. aims to ensure that they achieve a sound Level 5 or more by the end of Y9. NC Levels 3-5

CORE

P7 to NC Level 3a

Access is for low-achieving students currently performing below 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. NC Levels 2-4

NC Levels 4-5

NC Levels 4-6

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

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. NC Levels 4-5

NC Levels 5-6

NC Levels 5-7

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

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. NC Levels 5-6

NC Levels 6-7

To see exactly how Framework Maths matches the renewed Framework for KS3, go to www.OxfordSecondary.co.uk/fm/2008matching

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YEAR 9

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. P6 to NC Level 2a

EXTENSION

YEAR 8

NC Levels 7-8

11–14

Ordering Year 8 Core Student Book 978 019 914855 4

Framework Maths Year 7 Year 7 Basics Pack 978 019 915012 0

£14.99

Year 9 Extension Student Book 978 019 914860 8

£14.99

£14.99

Year 9 Access Teacher’s Book 978 019 914975 9

£39.99 £39.99

£150.00


£14.99

Year 7 Student Book 978 019 914848 6


£39.99

Year 9 Teacher’s Book 978 019 914856 1

£14.99

Year 7 Core Student Book 978 019 914849 3


£39.99

Year 9 Core Teacher’s Book 978 019 914857 8

£39.99

£14.99



£39.99

Year 9 Extension Teacher’s Book 978 019 914858 5

£39.99

£14.99



£39.99

Year 9 Access Workbook 978 019 914974 2

£4.99

£39.99



£4.99

Year 9 Homework Book 978 019 914893 6

£6.00

£39.99



£6.00

Year 9 Core Homework Book 978 019 914892 9

£6.00

£39.99



£6.00

Year 9 Extension Homework Book 978 019 914894 3

£6.00

£39.99

Year 8 Extension Homework Book 978 019 914891 2

£6.00

Year 9 Homework Answer Book 978 019 914981 0

£14.99

Year 9 Coursemaster CD-ROM 978 019 914862 2

Year 7 Access Student Book 978 019 914939 1


£4.99


Year 8 Homework Answer Book 978 019 914980 3

£6.00


Year 8 Coursemaster CD-ROM 978 019 914864 6

£6.00

Year 8 Consolidation 978 019 915000 7

£6.00

Year 8 Animations CD-ROM 978 019 914978 0

Year 7 Extension Homework Book 978 019 914883 7 Year 7 Homework Answer Book 978 019 914930 8 Year 7 Coursemaster CD-ROM 978 019 914850 9 Year 7 Animations CD-ROM 978 019 914976 6

£182.00+VAT

£245.00+VAT £182.00+VAT

£150.00 £14.99


£14.99

£245.00+VAT

Year 9 Consolidation 978 019 914999 5 Year 9 Animations CD-ROM 978 019 914978 0

£95.00 £182.00+VAT

Revision Guides Revision Guide NC Level 3-5 978 019 914942 1

£4.75

£150.00

Revision Guide NC Level 4-6 978 019 914943 8

£4.75


£14.99


£4.75


£14.99


£4.75

Year 9 Core Student Book 978 019 914861 5

£14.99

Framework Maths Year 9


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£95.00

£14.99

Framework Maths Year 8 Year 8 Basics Pack 978 019 915011 3

£245.00+VAT

£14.99

Year 9 Basics Pack 978 019 915010 6


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

11–14

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

Information

Experienced author Tony Gardiner is well-known in the gifted and talented field

Ideal preparation for the Mathematical Olympiad and for pre-IGCSE

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

Ordering Extension Mathematics

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

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

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.

Alpha 978 019 915150 9

£11.00

Beta 978 019 915151 6

£11.00

Gamma 978 019 915152 3

£11.00

Teacher’s Book 978 019 915153 0

£40.00

Other resources

Other resources Maths Challenge

Mathswise

Enriched material for gifted and talented students

Motivate your struggling students

Maths Challenge Book 1 978 019 914777 9 £10.99 Maths Challenge Book 2 978 019 914778 6 £10.99 Maths Challenge Book 3 978 019 914779 3 £10.99

Mathswise Book 1 978 019 914774 8

£12.50

Mathswise Book 2 978 019 914775 5

£12.50

Mathswise Book 3 978 019 914776 2

£12.50

Mathswise Teacher’s Resource Pack 978 019 914569 0 £42.00

Curriculum Mathematics Practice Covers National Curriculum levels 3-8. Book 2 Book 3 Book 4 Book 5 Book 6 Answer Book

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978 019 833742 3 978 019 833743 0 978 019 833744 7 978 019 833745 4 978 019 833746 1 978 019 833747 8

11-14 Mathematics: Revision and Practice

£9.50 £9.50 £9.50 £9.50 £9.50 £18.00

No-nonsense material for your core students 11-14 Mathematics Foundation 978 019 914780 9 £10.99 11-14 Mathematics Intermediate 978 019 914781 6 £10.99 11-14 Mathematics Higher 978 019 914782 3 £10.99 11-14 Mathematics Answer Book 978 019 914568 3 £17.50

Key Stage 3 Mathematics: Revision and Practice Covers National Curriculum levels 4-7. Revision and Practice Student Book

978 019 914560 7 £15.00

Revision and Practice Answer Book

978 019 914564 5 £17.50

14 –16 New editiocantion

for new 2009 specifi

New edition

Straight to success for your GCSE Statistics students! Popular resource offering the clearest and most effective route to exam success The brand new edition of Statistics GCSE for AQA is 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 Emphasis on real-life data, reflecting the new curriculum ICT is incorporated throughout as an integral part of the course Unique links to popular Autograph software Coursework section replaced with new Controlled Assessment to reflect major assessment changes Plenty of practice papers and recent past exam questions All you need for both Foundation and Higher GCSE Statistics in a single book

IGCSE

Oxford Mathematics Study Dictionary

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Covers all the appropriate terminology for GCSE/Standard Grade and above, including clear definitions, illustrations, and diagrams to add depth and understanding.

Statistics GCSE for AQA

978 019 911688 1

Student Book

£11.99

Ordering 978 019 913430 4


£19.50

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14 –16

For Edexcel NEW EDITION For 2010

Fast forward for 2010... with the power of 4-wheel drive learning Get top results with 4-wheel drive learning, the official Oxford four-book approach that more precisely targets learning to help your results zoom ahead! This tried-and-tested method offers a choice of four levelled student books, allocating just one single highly-focused text to each student for the whole course. Learning becomes simpler and more strongly targeted, and therefore more successful for all students. Written by practising teachers and examiners to make sure it really works, Oxford GCSE Maths for Edexcel New 2010 Edition offers you:

What teachers say about the current edition of Oxford GCSE Maths for Edexcel: The four-book approach has made a real difference to our school’s GCSE results. They make it easy to focus learning for each individual student, helping them achieve their maximum potential. This has not only helped many more of our students achieve that all-important ‘C’ Grade but has helped many students who would have got a C go on to get a B. Very good, targeted at specific grades and therefore pupils.

Major GCSE change in 2010! Major change is happening to GCSE in 2010, and Oxford GCSE Maths for Edexcel New 2010 Edition will help you cope easily and effectively. The new edition has been written specifically for the new curriculum, and in particular provides a great deal of extra help with AO3 problemsolving, QWC (Quality of Written Communication), functional skills, and grade C borderline, with boosts to help D students get C, and C students go up to B.

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precisely targeted learning gives more of your students the best possible chance to achieve that all-important C 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 really simple and manageable right from the start, with just one focused book per student slimmer student books with less irrelevant material are less daunting, lighter to carry, and more cost-effective highly effective strategies to improve all students grades include stretch and challenge ideal for use with Results Plus

Plus unique OxBox sof software OxBox CD-ROMs provide motivating resources and everything you need to develop more in an incredibly easyto-use format – see pages 18 and 19 for more details.

Evaluation ‘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 978 019 913934 7 £60.00 Evaluation Pack

14–16

Teach and examine in either ‘modular’ or ‘linear’ style - the three units can be delivered in any order!

Oxford GCSE Maths for Edexcel New 2010 Edition focuses on four overlapping ability levels (Foundation, Foundation Plus, Higher, and Higher Plus), each giving accesss to a grade C. For each of these four levels one single Student Book covers the whole course.

Foundation covers grades GFE, with an extra booster section covering grades DC. This is 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. This is for students who have reached Level 5 at KS3, and are aiming at a target GCSE grade of EDC.

Higher covers grades DCB. This is 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. This is for students who have reached Levels 7-8 at KS3, and are aiming at a target GCSE grade of BAA*.

Foundation Student Book for E-G

Foundation Plus Student Book for C-E

Higher Student Book for B-D

Higher Plus Student Book for A*-B

978 019 913946 0 £18.00

978 019 913945 3 £18.00

978 019 913944 6 £18.00

978 019 913943 9 £18.00

Foundation Teacher Guide

Foundation Plus Teacher Guide

Higher Teacher Guide

Higher Plus Teacher Guide

978 019 913942 2 £50.00

978 019 913941 5 £50.00

978 019 913940 8 £50.00

978 019 913939 2 £50.00

Foundation Homework Book

Foundation Plus Homework Book

Higher Homework Book

Higher Plus Homework Book

978 019 913938 5 £6.50

978 019 913937 8 £6.50

978 019 913936 1 £6.50

978 019 913935 4 £6.50

Interactive OxBox CD-ROM

Assessment OxBox CD-ROM

978 019 913951 4 £400.00 + VAT

978 019 912727 6 £300.00 + VAT

NB. The previous edition of Oxford GCSE Maths for Edexcel will continue to be available, ordering details are on the order form enclosed with this catalogue.

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For each student, book covers the

For Edexcel

Oxford GCSE Maths for Edexcel New 2010 Edition provides four Student Books covering four ability levels: Foundation, Foundation Plus, Higher, Higher Plus.

NEW EDITION For 2010 The Foundation Student Book targets levels E-G, with a special ‘booster’ section allowing access to grade C.

ation -G Found v le els E targets ess to C c with ac

Booster section delivers achievable topics at grade C

Objectives clearly explained right from the start of a topic

Grades on every page show clearly the levels of demand

Sample page from the Foundation Student Book

The Foundation Plus Student Book targets levels C-E.

Functional maths embedded throughout the course with explicit references to AO2

Checklist of key words for each lesson

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

References to AO2/3

Founda

targets le tion vels C-E

Sample page from the Foundation Plus Student Book

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Plus

14–16

one single highly focused whole course Teach and examine in either ‘modular’ or ‘linear’ style - the three units can be delivered in any order!

Four levels, four Student Books!

The Higher Student Book targets levels B-D.

Arranged by specification unit, for easy navigation

‘Did you know?’ features to provoke interest and explain relevance

Pleanty of problem solving to address AO3

Higher

targets le vels B-D

Sample pages from the Higher Student Book

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

Parallel content between all four books, so students can switch between tiers easily if necessary

A grade allocated to each page Frequent opportunities to practise QWC (Quality of Written Communication) Stretch and challenge to help students achieve higher grades Plenty of examiners’ tips

Higher

targets le Plus vels A*-B Sample pages from the Higher Plus Student Book


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14 –16 The overlapping ability levels of the four

Teach and examine in either ‘modular’ or ‘linear’ style - the three units can be delivered in any order!

student books precisely target learning to make it uniquely effective. All four books have parallel content lists to make teaching easier, and also enable students to switch easily between books if necessary.

Orientation boxes show students exactly where they are in their learning timetable

Four levels, four Student Books!

Rich task draw on, and practise, a variety of skills and range of knowledge

Worked examples focus on process skills

Grades on every page show clearly the levels of demand

‘What’s the point?’ section makes it easy to see how the maths is useful and relevant

Summary pages focus on the key objectives

Worked exam questions show what examiners look for

Functional maths is integrated throughout the course, and specific references to AO2 are provided

Lots of exam questions provide essential practice at assessment Sample pages from the Foundation Plus Student Book

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14–16

Homework Books There is a handy pocket-sized Homework Book to go with each of the Student Books, providing a huge amount of practice material to help consolidate learning.

N5 HW2

Fraction and percentage of a quantity

1 Use a suitable method to calculate a d g j

3 of £33 11 11 of 100 g 20 5 of $300 6 1 of 500 people 20

b e h k

N5 HW3

c f i l

7 of 63p 9 14 of e600 25 1 of 192 people 6 9 of 572 miles 11

i Increase £40 by 10% iii Decrease £86 by 15% v Increase £48 by 17.5%

50 kg as a fraction of 80 kg £20 as a proportion of £50 16 cm as a fraction of 64 cm 450 cm as a fraction of 600 cm 44 minutes as a proportion of 60 minutes 540 metres as a fraction of 4 metres 78p as a fraction of £2.

i Increase £97 by 12% iii Decrease 89 kg by 58% v Increase $890 by 17%

50% of £400 10% of £60 30% of e550 40% of 90p 55% of 1800 g 35% of e180

ii iv vi viii x xii

25% of £200 1% of 600p 20% of $350 15% of $800 75% of 860 kg 13% of 40 cm

a A holiday cost £495 but it is reduced by 15% in a sale. Calculate the new price of the holiday. b Mr Holmes earns £456 a week. He has a pay increase of 3%. Work out how much he will earn after the pay increase. c A plumber charges Teresa £4389 for new central heating. If the bill is paid within 7 days he reduces the bill by 5%. Teresa pays within 7 days. Work out how much she saves.

25% of £49 34% of $458 98% of 58 kg 135% of 135 km

ii iv vi viii

17.5% of 67 m 12% of 740 tonnes 89% of 2550 mm 7% of 95 m

4 A 500 ml smoothie drink is made up of these juices 33% strawberry 21% banana 22% orange 11% grape 13% apple Calculate the number of ml of each type of juice.

Real-life scenarios to emphasise relevance and functional skills

3 Copy and complete the table. Item

b Use a suitable method to calculate these. Where appropriate round your answers to 2 decimal places. i iii v vii

ii Decrease $78 by 27% iv Increase 270 g by 86% vi Decrease 1350 m by 83%

2 Use an appropriate method to work out each of these problems. Give your answer to 2 decimal places where necessary.

3 a Find these percentages without using a calculator. You must show all of your workings. i iii v vii ix xi

Plenty of solid graded practice

ii Decrease 160 m by 20% iv Increase 740 kg by 35% vi Decrease 480p by 1%

b Calculate these giving your answers correct to 2 decimal places.

2 Express each of these as proportions. Give your answer as a fraction in its simplest form. a b c d e f g

Percentage increase and decrease

1 a Find these without using a calculator.

5 of 350 kg 7 9 of 45° 15 6 of £104 13 7 of 168 cm 12

TV Microwave Cooker Fridge

Cost price £499 £89.50 £245.50 £389

% increase or decrease 17.5% increase 10% decrease 20% increase 2.5% decrease

Four levels, four Homework Books!

Selling price

4 a A shop buys cakes for 50p each and sells them for 89p. What is the percentage profit? b Paul buys a car for £3995 and sells it one year later for £3125. Work out the percentage loss.

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Sample pages from the Foundation Plus Homework Book

Teacher Guides Teacher 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 non-specialists and NQTs.

Rich task

Gg

A discussion on the shapes of drinks containers should be fruitful at the start of this investigation with cylinders and cuboids presenting themselves as obvious starting points. Encourage pupils to go beyond integer values and to explore different 3D shapes which they have encountered but generally limited to prisms. Practical considerations might involve the material used to make the container, the area of tabs/overlaps for any nets, the comfortable ‘hand’ size of a container and the ability to stack a container on a shelf. Finally encourage pupils to write a report on their design. An extension might be to work out the length of the longest straw you could attach to your drinks carton (for cuboids).

Use Pythagoras’s theorem in 2-D – 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 – Calculate the length of a diagonal of a rectangle given the length and width of the shape G z Find circumferences and areas of circles – Find circumferences and areas of circles – Recall and use the formulae for the circumference of a circle and the area enclosed by a circle – Use π ≈ 3.142 or use the π button on a calculator G aa Calculate volumes of right prisms and shapes made from cubes and cuboids – Find the volume of a cuboid from counting cubes – Find the volume of a cylinder – Find the volume of a prism, cube and cuboid – Recall and use the formula for the volume of a cuboid

Development and links Cuboids, cylinders, prism and compound shapes made from them describe many of the shapes of everyday objects. Understanding how to calculate areas and volumes allows manufacturers to design packaging which uses the least amount of raw materials to hold a given volume of product.

Extra Resources

Required knowledge Before your students start this unit they should be able to: Calculate with integers and decimals using the correct order of operations Understand and use square numbers and square roots Round answers to appropriate degrees of accuracy Understand and use the correct units and dimensions for lengths, areas and volumes Calculate area and perimeters of rectangles, triangles and trapezia Recognise a range of 2-D shapes by their geometric properties Understand and use 2-D representations of 3-D shapes

7 7.1 7.2 7.3

Start of chapter presentation Cabri Activity: Make a note Worked solution: Q2 Animation: Finding the volume of a cylinder’ 7.4 Autograph: Pythagoras’ theorem 7.5 TI activity: Finding the angle Consolidation sheet chapter G7 Assessment: chapter G7

G7 Measures and Pythagoras

Objectives

G7.4

Pythagoras’ theorem

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 Starter Ask 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 Notes Ask pairs of students to recall as much as they can about Pythagoras’ theorem for 2–3 minutes. Share the information, and model the theorem ke three using coloured squares of paper to make res add triangles. One where two smaller squares to less than the third square, one with the two smaller squares totalling the third and one an the where the two smaller add to more than third. The triangles illustrated can then be ed and examined as obtuse-angled, right-angled acute-angled. ch side Check that students can recognise which of a triangle is the largest; ask them to explain how they know. lems on In pairs, ask students to solve two problems nd ask right-angled triangles. Check results and 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. Plenary tion on Take a straightforward past GCSE question estions if the topic, extending it with further questions ents as necessary. Ask as many individual students possible to give strategies or proceduress for each stage of the question, building up the hers to solution from the whole group. Ask others isagree help in corrections if necessary, or to disagree and offer alternatives, finally showing a complete and thorough solution.

Exercise commentary A 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. Simplification Provide students with a template to help organise their calculations. (hypotenuse)2 (first short side)2 (second short side squared)2 (hypotenuse)2 ( )2 ( _________ hypotenuse √ cm

)2

Extension Invite 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. Objectives Cut out the small square and four triangles, Find the volume of a cuboid from counting can these be rearranged to fit exactly in the cubes square on the hypotenuse? Recall and use the formula for the volume of a cuboid

G7.2

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 Starter Ask 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 Notes Briefly 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.

Rich task commentary to help deliver AO3

Specification objectives clearly spelt out

Exercise commentary provides focus on new requirements

Exercise commentary Some 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. Simplification Provide 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 its3side and agree that the formula still works in the new orientation. As necessary use small cubes to reinforce understanding. Extension Draw 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).

Plenary Challenge 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?

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Four levels, four Teacher Guides!


Thorough lesson plans, linked to Student Books

Sample pages from the Foundation Plus Teacher Guide

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14 –16

What OxBox will Popular OxBox software provides unique electronic for Oxford GCSE Maths for Edexcel New Edition, to bring

For Edexcel

engagement to your GCSE maths classroom as well as save you an incredible amount of time.

NEW EDITION For 2010

Inter

activ

e Interactive case studies

Lots of animations, PowerPoints and starter activities

Activities for use with Autograph, Cabri, and TI software

Interactive graphing and geometry tools

Schemes of work for flexible planning Customisable lesson plans with handy links to resources Interactive simulations to enhance learning

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14–16

do for you! It includes an extensive bank of highly visual, compelling, interactive resources, lesson plans, and formative and summative

Easy to customise and add in your own resources

assessement, and is incredibly easy to use and customise to suit your own unique requirements.

ent

ssm Asse

Formative/adaptive assessment that students need to embed learning

Traffic light system helps build confidence

Thorough and flexible on-screen assessment

Self-assessment check lists to track students’ progress Summative assessment needed to fully prepare for exams

Also provides paper-based tests to print off

STOP PRESS! Watch out for Oxford GCSE Maths for Edexcel Revision Guides, to make absolutely sure your students will be fully prepared for the new-style assessments. Revision Guides will be available in 2010.


T 01536 741068


19

14 –16 Teach and examine in a ‘linear’ or ‘modular’ way

NEW For 2010

Oxford and OCR are working together to help your students succeed In official partnership with OCR we offer a highly achievable route to success with OCR’s flexible new specification, developed with teachers for teachers, and which can be taught in either a linear or modular way.

Oxford GCSE Maths for OCR provides a comprehensive ing package for teachers and students following the new 2010 OCR GCSE maths specification, comprising Student Books, Teacher Guides, Practice Books, and OxBox CD-ROMs. It also provides a great deal of extra help to cope with 2010 changes, especially AO3 problem-solving, QWC (Quality of Written Communication) and functional maths, with boosts to help D students up to a C, and C students up to a B. A clear and straightforward route to exam success, combining clarity and simplicity of approach with rigour and challenge Uniquely graded structure, enabling students to personalise their learning and gauge their progression Thorough and flexible assessment Popular OxBox software packed with a huge range of time-saving and compelling resources

Evaluation Plus popular O OxBox software OxBox CD-ROMs provide motivating OxBo resources and tools to customise them and to resou develop more in an incredibly easy-to-use devel format – see page 25 for more details. forma

20

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

Oxford GCSE Maths for OCR Evaluation Pack 978 019 913927 9

£30.00

14–16

Course structure

See page 24 for OCR Functional Maths materials

Oxford GCSE Maths for OCR provides differentiated resources for Foundation and Higher tiers, with a particular focus on targeting attainment at the C/D borderline, plus stretch and challenge for all students across the A*-G spectrum.

Course Structure FOUNDATION

HIGHER

Student Books

Student Books

The two spread-based Student Books provide simplicity, pace, flexibility, and engagement, with objectives clearly labelled and arranged as they appear in the specification. There is overlap between the Foundation and Higher books at the C/D borderline level, with particular emphasis in the Foundation book on boosting D grades up to C. Foundation Student Book

Higher Student Book

978 019 913929 3

978 019 913928 6

£18.00

Teacher Guides

£18.00

Teacher Guides Comprehensive teacher resources are full of practical and accessible lesson plans. They are designed to make teaching easier for the whole range of teaching experience and needs, including NQTs and non-specialists, and have a particular focus on the new processes. Foundation Teacher Guide

Higher Teacher Guide

978 019 912728 3

978 019 912729 0

£75.00

£75,00

Practice Book

Practice Books

Foundation Practice Book

Higher Practice Book

978 019 913930 9

978 019 913931 6

£6.50

In addition, two handy pocket-size Practice Books, one for Foundation and one for Higher, complement the Student Books. As well as plenty of extra material to practise essential concepts, each Practice Book contains a free CD of extra material, including PowerPoint worked examples. £6.50

Software

OxBox CD-ROMs Ms

Interactive OxBox CD-ROM

Assessment OxBox CD-ROM

978 019 913932 3

978 019 912730 6

T 01536 741068

£400.00 + VAT

£300.00 + VAT

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


21

14 –16

Student Books and Practice Books

NEW For 2010 Intro pages in both Student Books set learning in an engaging context

Foun

datio

n

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

Rich tasks to practise a variety of skills and knowledge

Lots of problem solving to thoroughly address AO3

Foundation Student Book

Functional maths activities that will engage pupils, increasing understanding

Focus on techniques needed to boost your Ds up to Cs

Foundation Practice Book

22

14–16 Objectives clearly stated from the start

Functional maths fully incorporated and embedded throughout

er

High

Summary pages focus on the key processes and techniques needed for the new assessments

Higher Student Book

‘Check out’ box at end of each chapter to check on learning achieved

Higher Student Book

Practice Books provide plenty of extra exercises, worked examples and reminders

Worked questions show how to improve performance

Exam style questions written specifically for the new exams help preparation

Higher Practice Book

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23

14 –16

Teacher Guides NEW For 2010

Objectives clearly stated at beginning of each unit

Exercise commentary outlines exactly how the AO1, AO2, and AO3 strands are addressed in Student Book pages

Lesson plans written by experienced teachers with lots of useful and practical suggestions

Official Resources to the new OCR Maths Functional Skills qualification We are also publishing teaching materials endorsed by OCR to deliver the new OCR Maths Functional Skills qualification. Tailored specifically for the OCR Functional Maths specification Real-life scenarios, set out just like the assessments, to help students gain confidence -friendly CD-ROM containing all activities for networking or print off and copy Covers Levels 1, 2, and Entry Level 3 to suit a wide range of needs Includes Teacher Notes and source materials for all activities, saving you time Written by senior examiners to give best possible preparation Functional Maths for OCR

24

978 019 913882 1

£75.00

14–16

Comes with OxBox software! 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

Activities for use with Autograph, Cabri, and TI software

Summative assessment needed to thoroughly prepare for exams

Interactive graphing and geometry tools

Formative/adaptive assessment that students need to embed learning

Thorough and flexible on-screen assessment

Schemes of work for flexible planning

Customisable lesson plans with handy links to resources

Interactive case studies

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14–16 by David Rayner

Renowned Rayners now even better Whatever specification you teach, GCSE Mathematics: Revision and Practice by David Rayner remains an all-round winner. Now available in a completely new edition for the

Can be used with any exam board!

new 2010 GCSE specification, this uniquely effective series will continue to increase your students’ chance of success with your chosen exam board.

NEW EDITION For 2010

Real life links to engage students

Problem solving highlighted to address the new changes

Foundation

For all exam boards


Lots of questions with gradual progression

By David Rayner


Ordering GCSE Mathematics: Revision and Practice New 2010 Edition Foundation Student Book

978 019 913925 5

£20.00

Higher Student Book

978 019 913926 2

£20.00 Foundation Student Book

26

14–16

than ever for 2010! Renowned for helping record numbers of students to GCSE success, this course is one of the most trusted and successful GCSE mathematics courses 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 Comprehensive coverage of new specifications Gradual progression with practice at every level to consolidate learning Very clear structure and content make books very easy to use alongside other materials Problem solving highlighted to address the new changes Real life links to engage students

Higher

Higher Student Book Higher Student Book

Lots of questions with gradual progression

For all exam boards

Extra Help Extra help to cope with 2010 change, especially AO3 problem-solving, QWC (Quality of Written Communication), functional skills, and grade C borderline, with boosts to help D students get C, and C students go up to B.

By David Rayner Higher Student Book

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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27

The singlevolume port to fast-track maths success!

14 –16 ths SE Ma GC Maths GCSE Year R IN inAaYEA

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

Ordering GCSE Maths in a Year Student Book 978 019 915156 1 £18.00

Simple questions at the start to develop technique

Key points to focus learning and aid revision

Worked examples to encourage familiarity and improve technique

Contextual problems later on

From GCSE Maths in a Year

Other resources General Mathematics: Revision and Practice

e-Tests: GCSE Maths Electronic Assessment

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

£15.00

Complete Mathematics for GCSE and Standard Grade

Student’s Version 978 019 914993 3

£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

28

£6.00+VAT

Basic Mathematics: Revision and Practice

Ideal for those taking O Levels, this tried and trusted book is written by David Rayner. Student Book 978 019 914350 4

Assessment for learning, with diagnostic - appropriate for all tiers of entry and all major exam boards. Teacher’s Network Version 978 019 914992 6 £365.00+VAT

£11.99

Post –16 Advanced Level Maths for AQA dorsed by En

Fully endorsed by AQA

The best endorsed resources for AQA Modular A Level

Eight books offering the best coverage of AQA modular Advanced Level Mathematics Full of past paper questions to ensure students reach required level Includes specimen exam papers, written by senior examiners

Key points highlighted throughout to help clarify ideas

Worked examples with clear explanations

Student-friendly hints to enhance understanding

Why not add new OxBox to your A level teaching?

Core Maths C1+C2

See page 33 for more details

Plenty of targeted exercises to help ensure understanding

Clearly illustrated throughout for visual clarity

Ordering Core Maths C1 & C2

978 019 914936 0

£22.00

Core Maths C3 & C4

978 019 914987 2

£22.00

Statistics S1

978 019 914937 7

£13.50

Statistics S2

978 019 914986 5

£13.50

Mechanics M1

978 019 914938 4

£13.50

Decision Maths D1

978 019 914988 9

£13.50

Further Pure FP1

978 019 914985 8

£14.50

Mechanics M2

978 019 914989 6

£13.00

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29

Post -16 A Level Mathematics for Edexcel For NEW 2009 specification

Why not change to something newer and more inspiring? Oxford A Level Mathematics for Edexcel covers the latest curriculum changes and takes a completely fresh look at presenting the challenges of A Level. All 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? …uncomplicated explanations and definitions… very good glossary…key points easy to identify…plenty of examples ranging from straightforward to lengthy questions that should make the more able think…very clear and concise…makes last minute revision effortless… definitely worth consideration. Mathematics in School

30

Plus unique OxBox ox software that reallyy is new and different The OxBox CD-ROMs provide material to consolidate students’ learning at A Level. Each CDROM contains a wide range of summative and formative assessment materials, including a wealth of exam-style questions, ideal exam preparation for all students and for A2,links to Autograph software. See page 33 for more details.

NEW

STOP PRESS! Further Pure FP3 available Spring 2010 978 019 912740 5 £14.50

Post -16

How can this new Oxford course help more of my students achieve real success at A Level? Clear explanations, aims and layout help inspire students to realize how they can succeed at A Level.

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

Free CDROM

with prac Core boo t mate ice, GCS ks gives work rial and E to A le extra P v ed e xam owerPoi el bridg ing nt ples.

Pages from Further Pure FP1

End -of - chapter summaries consolidate learning and aid revision

‘Links’ feature inspires students by linking the chapter content to its real - life application Pages from Mechanics M2

Pages Pag ffrom ro M Mechanics echa h nic i s M2 M2

Review sections give students lots of exam practise and revision material

Full solutions at the back of each book enable students to check their own work

e 32 See pag g erin for ord details

All-new exam questions cover the latest curriculum Pages from Core C1/C2 Pages from Decision D1

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31

Post -16 Clearly marked key points, worked examples and derivations focus students’ learning

Steady progression of exercises gives practice at all levels

-ROM Free CDgiv es extra

with Core books level bridging practice, GCSE to A oint erP Pow and al teri ma worked examples.

Hints and misconceptions lead students through the work and actively prevent pitfalls

Material arranged in digestible sections with regular practice questions and revision

More stretch and challenge to differentiate between your most able students

Investigations to explore concepts further

Pages from Core C3/C4

Inspiring material with clear diagrams and photos to engage students

Pages from Statistics S1

Ordering A Level Mathematics for Edexcel Core C1/C2 (includes free CD-ROM)

978 019911779 6

£21.00

Mechanics M2

978 019911786 4

Decision D1

978 019911780 2

£11.00

Statistics S2

978 019911787 1

£11.00 £11.00

Mechanics M1

978 019911781 9

£11.00

Further Pure FP2

978 019911788 8

£13.50

Statistics S1

978 019911782 6

£11.00

Further Pure FP3 (available Spring 2010)

978 019912740 5

£14.50

Further Pure FP1

978 019911783 3

£12.00

AS Teaching and Learning OxBox CD-ROM

978 019911789 5

£335.00+VAT

978 019911790 1

£335.00+VAT

Core C3/C4 (includes free CD-ROM)

978 019911784 0

£21.00

A2 Teaching and Learning OxBox CD-ROM

Decision D2

978 019911785 7

£13.50

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

32

Post -16

How will you use the

?

OxBox really is new and different, providing electronicc suppor rt that brings engagem engagement to your A Level maths classroom. It includes an extensive bank of highly visual, interactive student resources, an extensive bank of formative and summative assessment, unique at A Level and A2, and unique links to popular Autograph software. So how will you use OxBox? NB. The OxBox CD-ROMs can be used with any A Level course or syllabus.

Prepare your students

Keep track of your students’ progress

OxBox contains bridging material to smooth the transition to A Level. Consolidation sheets also provide revision of AS level Core ideas for A2 students.

A wide range of summative tests for each AS level student book show results so you can see what level your students are at.

Grab your students’ attention

Improve your students’ confidence

Create engaging lessons by choosing from a variety of interactive animations to illustrate key mathematical concepts, with a focus on the core mathematical knowledge.

Use formative tests so students take ownership of their learning. Students can complete these on-screen and also receive helpful .

Share ideas with your department Use the OxBox as a central place to keep and share resources. OxBox is fully networkable so all your colleagues can easily access it.

File away your own resources If you have lots of your own resources you can tidy them up into the OxBox. These resources can then be associated with the book and chapter of your choice.

T 01536 741068

Improve your students’ performance In addition to interactive formative and summative assessment, OxBox contains exam-style assessment sheets and mark schemes.

A free VLE version is included for tipping into your school VLE. The site licence is included in the price – so there are absolutely no subscription costs to sneak up on you every year. It is also suitable for use with all exam boards. So why not order it on 30 days FREE approval and see for yourself?


33

Endorsed by University of Cambridge International Examinations

International

NEW

IGCSE / IB

Your first choice for Core and Extended Mathematics Full coverage of the curriculum along with thousands of practice questions ensure that students achieve the best grade possible. Comprehensive, carefully graded worked examples and exercises gradually develop important skills for the exam and beyond. Our new Revision Guide will also help your students achieve their full potential.

Edexcel Mathematics for IGCSE

Comprehensive coverage of the Higher Level IGCSE. Provides carefully compiled exercises and explanations for the Edexcel IGCSE with material to the Foundation level. A free CD-ROM provides extra practice including preparation.

Core Mathematics for IGCSE Extended Mathematics for IGCSE IGCSE Revision Guide

978 019 91526 2 9 £17.75

A unique new resource designed specifically for students with English as an additional language. Combining both subject content and essential language , this companion for 14-16 year olds will ensure that your students get the most from their course. 978 019 913529 5 September 2010

Mathematical Studies for the IB Diploma This IB Study Guide allows students to further understand basic concepts and reinforce their knowledge. It provides carefully stepped examples to help students progress and offers plenty of exam practice and test-taking advice from teachers and students. 978 019 915242 1

£18.00

£12.99

Course Companion: Mathematical Studies Uniquely developed with the IB. Makes mathematics relevant to the international student. Packed with worked examples, exercises and activities from around the world. Offers essential advice and guidance for the Mathematical Studies project from the experts. 978 019 915121 9

£20.50

Mathematics Higher Level for the IB Diploma

Mathematics Standard Level for the IB Diploma

Helps students achieve their full potential. Packed with carefully levelled exercises and exam practice along with advice. Comes with a free CD-ROM containing a copy of the book and extra practice activities.

Comprehensive coverage of the Standard Level course. Key facts and worked examples help students understand important mathematical techniques. Unique integrated for graphical calculator skills.

978 019 915226 1

978 019 914979 7

(Includes free CD-ROM)

34

£17.50 £17.75 £10.99

Oxford Content and Language : Mathematics

NEW

(Includes free CD-ROM)

978 019 914995 7 978 019 914994 0 978 019 915487 6

£27.00

£25.00

Advanced Level resources to cover all specifications We publish a wide variety of established and well-respected resources to cover all A Level specifications. The chart below shows exactly

STATISTICS

MECHANICS

PURE MATHS

which levels and subjects are covered by each book.

Post -16 Other resources

INTRODUCING

UNDERSTANDING

FURTHER

AS and some A2

A level and up to 1st year university

A2 and 1st year university

AS and some A2


A2 and 1st year university

AS and some A2


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 Mathematics 978 019 914803 5

£30.00

Understanding Pure Mathematics 978 019 914243 9

£30.00

Further Pure Mathematics 978 019 914735 9

£30.00

Introducing, Understanding, and Further Mechanics take students from AS to A2 and beyond. Answers are provided at the back of each book. Introducing Mechanics 978 019 914710 6

£30.00

Understanding Mechanics 978 019 914675 8

£30.00

Further Mechanics 978 019 914738 0

£30.00

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 Statistics 978 019 914801 1

£30.00

Understanding Statistics 978 019 914391 7

£30.00

Oxford Revision Guides AS Level Mathematics through diagrams Authors: Dick Russell and Juli Beales

A fresh, visual approach to help reinforce conceptual understanding Clear, concise explanations to make content memorable A page for each topic to break content down into manageable chunks 978 019 914838 7

T 01536 741068

£12.50


35

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Age 14 –16

See pages 12 –19

Age 14 –16

See pages 2 0 –25

Age 14 –16

See pages 26 – 27

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