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=    __Welcome to the KSCsurds wikispace __      = Before you start this you may like to watch this video explaining how a wiki works and the benefits of using a wiki to combine ideas media type="teachertube" key="be6ec9b852b0a542e2f3" width="400" height="350" http://www.teachertube.com/view_video.php?viewkey=be6ec9b852b0a542e2f3

During this unit of work you will find all the course requirements on this wiki and this will be where you will post most of your assessments and responses to this unit. **__You will need to create your own page on this wiki and this is where you will post your work__**. To do this go to New Page in the menu bar at the side and follow the directions to create your own page with your name as the title. Your teacher and other students will visit this page to view your work.

In this unit of work you will work in a combination of face to face classroom situations with your teacher giving you instruction, in groups in the class room and online. Some of your work will be presented in person and some online. You will need to build up a folio of your work to present as part of the assessment for this unit.

At the start of your time working in a group in this unit please complete this checklist for yourself and post on your wiki page. Use this to also post a reflection on areas you think you need to develop when you are working in a group.

Assessment will consist of your folio of skills practice, your reflections on your work on your wiki page, your investigative report, your class presentation of your invesigation and a class skills test.

These are the questions at the centre of this unit of work and you will be revisiting some familiar ideas to start and then looking at some new types of numbers__**
 * __ Is near enough good enough? What is an exact value?

First - Let's revise some skills-

Complete this document as a pretest of what you know about the relationships between common fractions, decimals and percentages After you have completed this show it to your teacher and go to your wiki page to comment about what you think is an exact number - REFLECTION 1

**__What is a surd??__**

This is where there will be face to face classroom instruction by your teacher and some skills practice ( Exercise 2.1 as requested by your teacher ). After this you can post your initial thoughts on what a surd is onto your wiki page - REFLECTION 2.

You will gain access to all the necessary information to complete this unit from 3 main sources - your teacher, your text and online. Some online information as to how to work with surds is at these sites. You may also find some other sites which you find useful and you will need to cite these on your wiki page.

http://www.staff.vu.edu.au/mcaonline/units/indices/surds.html

http://www.mathsteacher.com.au/year10/ch09_surds/01_surds/surds.htm

http://www.ltscotland.org.uk/Images/surds_tcm4-123380.ppt#258,3,Adding & Subtracting Surds.

http://www.mathcentre.ac.uk/students.php/all_subjects/arithmetic/surds/resources/

Complete the following work sheets of skills practice - you can either print these out and do a hardcopy and hand directly to your teacher or do electronically and either email to your teacher or post on this wiki or your own wiki if you have set up one to record your work in this topic.

Worksheet 1 Entire Surds

Worksheet 2 Simplifying Surds 1

Worksheet 3 Simplifying Surds 2

You now need to complete exercise 2.3 in you text to consolidate these skills. You will come back to the analysis tasks in an investigation at the end of this unit so you can concentrate on questions 1 to 5 and choose as many as you feel you need to do to be confident with these new skills working with surds

Adding and Subtracting Surds. As well as the site listed above you may also like to watch this video on teachertube to help you with adding and subtracting surds http://www.teachertube.com/view_video.php?viewkey=960ce0a2a7b123dd55af There will be direction instruction from your teacher on how to add and subtract surds so you can see them now for individual or group instruction, follow some of the links above ,research your text or go online to find out how to do this. You need to complete Exercise 2.4 nos 1 - 4 in your texts.

Worksheet 4 Expanding Surds Worksheet 5 Conjugate Surds You may need some extra practice with this new skill. If so do Exercise 2.5 no1. Worksheet 6 Rationalising Surds For some consolidation practice with this skill do Exercise 2.6 nos 1 - 4.

**__Investigation__** There is an invetigation for you to complete as part of this unit. During this investigation you will use your skills in working with surds and also some of your prior mathematical knowledge. You have a choice of investigations 1.A selection of open-ended analysis tasks

OR 2.The following investigation on surd spirals

http://www.eduweb.vic.gov.au/edulibrary/public/teachlearn/student/mathscontinuum/surdspiralswsheet.pdf OR 3. One of the investigations at http://extranet.edfac.unimelb.edu.au/DSME/RITEMATHS/general_access/curriculum_resources/surd_delights/index.shtml#spiral

You have a choice as to how you present the results of your investigtion However as part of this unit you need to present some, or all, of your investigation to the class. This presentation may be This presentation must be posted on your wiki page
 * Pen and paper work handed to your teacher
 * Word processed document posted on the wiki
 * A PowerPoint presentation
 * A Photostory presentation
 * A video of your work made on the IWB
 * An alternative presentaion negotiated with your teacher

This rubric will be used by your teacher to assess your investigation



There will be a pen and paper in class test on your surd skills.

Complete this self assessment rubric and post on your wiki page

Complete this collaboration rubric for each member of the group you worked in during this unit and post to their wiki page and then post a rfelection on this process on your wiki page

If you are interested in other irrational numbers which are not surds but which are used very often you might like to research pi and e (eulers number). http://en.wikipedia.org/wiki/E_(mathematical_constant