Scheme of Work - The Maths Mann

Cambridge Secondary 2

Scheme of Work

Cambridge IGCSE? Mathematics 0580

For examination from 2017

Contents

Introduction .................................................................................................................................................................................................................................................. 3 1: Number .................................................................................................................................................................................................................................................... 6 2: Algebra and graphs ............................................................................................................................................................................................................................... 16 3: Geometry ............................................................................................................................................................................................................................................... 27 4: Mensuration ........................................................................................................................................................................................................................................... 33 5: Co-ordinate geometry ............................................................................................................................................................................................................................ 37 6: Trigonometry.......................................................................................................................................................................................................................................... 40 7: Matrices and transformations ................................................................................................................................................................................................................ 43 8: Probability .............................................................................................................................................................................................................................................. 47 9: Statistics ................................................................................................................................................................................................................................................ 50

Cambridge IGCSE? Mathematics 0580 ? from 2016

Scheme of Work

Introduction

This scheme of work has been designed to support you in your teaching and lesson planning. Making full use of this scheme of work will help you to improve both your teaching and your learners' potential. It is important to have a scheme of work in place in order for you to guarantee that the syllabus is covered fully. You can choose what approach to take and you know the nature of your institution and the levels of ability of your learners. What follows is just one possible approach you could take.

Guided learning hours

Guided learning hours give an indication of the amount of contact time you need to have with your learners to deliver a course. Our syllabuses are designed around 130 hours for Cambridge IGCSE courses. The number of hours may vary depending on local practice and your learners' previous experience of the subject. The table below give some guidance about how many hours we recommend you spend on each topic area.

Topic 1 Number 2 Algebra and graphs 3 Geometry 4 Mensuration 5 Co-ordinate geometry 6 Trigonometry 7 Matrices and transformations 8 Probability 9 Statistics

Suggested teaching time (%) 39?46 h (Core) 20?26 h (Extended) (30?35% (Core) 15?20% (Extended)) 26?33 h (Core) 46?52 h (Extended) (20?25% (Core) 35?40% (Extended)) 9 h (7% of the course) 9 h (7% of the course) 9 h (7% of the course) 4?7 h (3?5% of the course) 7?10 h (5?8% of the course) 9 h (7% of the course) 9 h (7% of the course)

Suggested teaching order 1 2 3 4 5 6 7 8 9

Resources

The up-to-date resource list for this syllabus, including textbooks endorsed by Cambridge, is listed at .uk Endorsed textbooks have been written to be closely aligned to the syllabus they support, and have been through a detailed quality assurance process. As such, all textbooks endorsed by Cambridge for this syllabus are the ideal resource to be used alongside this scheme of work as they cover each learning objective.

Version 1.0

3

Cambridge IGCSE? Mathematics 0580 ? from 2016

Scheme of Work

Teacher Support

Teacher Support is a secure online resource bank and community forum for Cambridge teachers, where you can download specimen and past question papers, mark schemes and other resources. We also offer online and face-to-face training; details of forthcoming training opportunities are posted online. This scheme of work is available as PDF and an editable version in Microsoft Word format; both are available on Teacher Support at . If you are unable to use Microsoft Word you can download Open Office free of charge from

Websites

This scheme of work includes website links providing direct access to internet resources. Cambridge International Examinations is not responsible for the accuracy or content of information contained in these sites. The inclusion of a link to an external website should not be understood to be an endorsement of that website or the site's owners (or their products/services).

The website pages referenced in this scheme of work were selected when the scheme of work was produced. Other aspects of the sites were not checked and only the particular resources are recommended.

Version 1.0

4

Cambridge IGCSE? Mathematics 0580 ? from 2016

Scheme of Work

How to get the most out of this scheme of work ? integrating syllabus content, skills and teaching strategies

We have written this scheme of work for the Cambridge IGCSE Mathematics 0580 syllabus and it provides some ideas and suggestions of how to cover the content of the syllabus. We have designed the following features to help guide you through your course.

Learning objectives help your learners by making it clear the knowledge they are trying to build. Pass these on to your learners by expressing them as `We are learning to / about...'.

Suggested teaching activities give you lots of ideas about how you can present learners with new information without teacher talk or videos. Try more active methods which get your learners motivated and practising new skills.

Syllabus ref. C1.4

Learning objectives

Use directed numbers in practical situations.

Core and Extended is clearly highlighted throughout the scheme of work.

E1.5

Includes the conversion of recurring decimals to fractions.

Past and specimen papers

Suggested teaching activities

Extension activities provide your

An effective start for this topic is to draw a number line from -20 to +20, then point to various numbemrso(rbeothabploesitlievae rannedrs with further

negative) asking learners, for example, "what is 5 more than this number?", "What is 6 less than thics hnaumllebnerg?e" beyond the basic content of

You can keep it simple by using only integers.

the course. Innovation and independent

Extension activity: extend the task by using decimals or fractions.

learning are the basis of these activities.

An interesting extension to this is to then look at directed numbers in the context of practical situations. For example,

temperature changes, flood levels, bank credits and debits. Learners can see weather statistics for over 29000 cities online at , which can be used for them to investigate a variety of temperature changes involving positive and negative temperatures. (I)

3TU

A useful activity for learners is to look at the online lesson at basic- to learn how to convert recurring decimals to fractions. It uses the method:

x = 0.15151515.... 100x = 15.15151515... subtract these to get 99x = 15 so x =



Independent study (I) gives your learners the opportunity to develop their own ideas and understanding with direct input from you.

Past/specimen papers and mark schemes are available to download at (F)

E1.1

C1.14

Paper 41, June 2012, Q8 Paper 33, June 2012, Q1 (b)(c)

Past Papers, Specimen Papers and Mark Schemes are available for you

Formative assessment (F) is on-going assessment which informs you

to download at:

about the progress of your learners. Don't forget to leave time to review

what your learners have learnt, you could try question and answer,

Using these resources with your learners allows you to check their

tests, quizzes, `mind maps', or `concept maps'. These kinds of activities

progress and give them confidence and understanding.

can be found in the scheme of work.

Version 1.0

5

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download