Mathematics Pangarau

2007/2

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Contents

Welcome to mathematics MX000 resource bank What will my programme be? How will I know what my programme is? Equipment How to do the work Getting help Accessing maths online How will I be assessed?

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Welcome to mathematics Curriculum levels 3 to 5 This mathematics programme is based on learning resources developed from the New Zealand mathematics curriculum statement. The learning materials are particularly aimed at Year 9 and 10 students, but are also available to older students who want to revise and consolidate mathematics skills at a level prior to NCEA level 1.

Most students would take more than two years to complete the full curriculum level 4 and 5 learning so that they can proceed to a full academic NCEA Level 1 mathematics programme. However, a pathway such as this is not suitable for some students.

Students may focus on applying basic mathematical skills across the different aspects of mathematics, and could work towards a programme including NCEA for these concepts and skills in Year 11.

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MX002 Solving problems and investigating situations MX003 Patterns in mathematics MX004 Geometry of shapes UM320 Approximations and rounding MX337 Working with fractions NC111 Using percentages MX006 Investigations â&#x2C6;&#x2019; using surveys and time series MX007 Patterns and graphs using ordered pairs MX008 Metric measurement and angle geometry UM305/308 Angle geometry of lines and triangles

Level 4

UM403 UM433 UM434 MX023 UM432 UM435

Integer operations Linear equations Linear graphs Applying formulae and solving equations Laws of exponents Algebra terms and expanding brackets

NC112 MX015 UM328 UM405 UM406 UM423 UM436 UM437 MX018 MX016

Using ratio, mean and range Measurement, enlargement and ratio Probability Square roots and Pythagorasâ&#x20AC;&#x2122; theorem Squares, cubes and order of operations Introduction to trigonometry Quadratic expressions Quadratic equations and parabolas Using paper to design and make a product A range of mathematical activities

Other items

MX021 Transformation geometry and constructions UM427 Constructions and loci

MX005 Decimals, fractions and percentages MX019 Marketing a product MX020 Working with money Level 5 Algebra

Level 5 Geometry

MX014 Working in three dimensions MX013 Solving problems using area measurement UM444 Areas and volumes

Level 5 Measurement

MX017 Investigating the paper technology processes MX022 Investigating probability

Level 5 Probability and Statistics

Level 5 Number

Investigating simple scale maps Constructions and symmetry Rates, percentages and probability Statistics - your own investigation Algebra - using equations Metric areas Frequency tables and histograms Circle measures and terms

MX335 MX009 MX010 MX011 MX012 UM316 UM412 UM443

MX321 MX322 MX323 MX324 MX325 MX326 MX327 MX328 MX329 MX330 MX331 MX332 MX333 MX334 MX336

Working with angles, lines and polygons Estimating and measuring length Using a calculator to explore number patterns Presenting and interpreting graphs Applying number place value concepts Exploring changes and symmetry of shapes Using a calculator to solve problems Measuring mass, capacity and time Investigating 3-dimensional shapes Using decimals in a range of contexts Estimating and calculating areas Exploring packaging Working with pattern Carrying out a survey and making predictions Understanding fractions

Level 4 (continued)

Level 3

MX000 resource bank

What will my programme be? Learning resources in mathematics have been designed to meet national curriculum requirements. There are a large number of resources available in this programme of learning. It is unlikely that you will need to do all of them. The learning resources listed by curriculum level on the page opposite can be put together in different ways to form an individual programme designed to meet the aims and needs of you, the learner. Your specific programme of study will depend on the mathematics you already know. This information comes from your answers in the booklet MX001 Planning your maths course. Your teacher will match your needs, goals, year level and time of enrolment with the booklets of learning you should do.

How will I know what my programme is? When you receive MX001 back from your teacher, some of the resources in your personal programme may be highlighted on the page inside the back cover of the booklet. You could mark or highlight the same items on the list of booklets on the previous page (of this booklet). However, sometimes your teacher may add to or change the items in your programme. Keep a track of these other items on this list also. When your teacher sends you further learning material(s), he or she may advise you of a suitable order to do them in. This may not be in strict numerical order. When you receive any marked work back, you can use the list on the previous page to record what youâ&#x20AC;&#x2122;ve done and what youâ&#x20AC;&#x2122;ve achieved as you work through the learning material.

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Equipment Special equipment to complete some activities for some booklets will be enclosed with the booklet. • • •

In some booklets, this special equipment may be referred to as being in your ‘maths kit’. You are expected to provide your own pens, pencils, eraser, ruler and calculator. Where a graph is required to be drawn, you should use quad paper (squared paper), preferably 5 mm square size.

Calculators You must have a calculator for this programme. A basic calculator is all that is needed in the first part of the course, as long as it has a square root button ( ). You will need a scientific calculator if you move on to curriculum level 5. If you need to buy a calculator, it is more useful to buy a scientific one. A basic calculator shouldn’t cost more than \$10 and a scientific calculator should cost about \$30. Calculators can often be purchased in stationery sections of bookstores, supermarkets and department stores.

CD and DVD players Several booklets will require the use of a CD player. This is indicated in the booklet by the tape icon.

Some booklets will recommend the use of a DVD player. This is indicated in the booklet by the video icon. If you are a full-time student and do not have access to CD player, contact your teacher immediately. 6

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How to do the work •

Plan a regular time to study. Some people learn best with frequent short sessions of study, others do better with fewer but longer sessions. What is important is that you have a plan and keep to it.

Each booklet is split into lessons. There are up to 10 lessons in most booklets and each one may take up to 10 hours of study. Some booklets have only five lessons. Many booklets have space provided for you to write your answers. For some booklets you will need to write your answers on your own paper. A few booklets have a workbook for you to write answers in.

Inside the front cover of most booklets there is information similar to that shown here. It gives you an idea of the topics you will learn about in that booklet.

Some booklets require special equipment to complete the activities. Check that you’ve got the equipment on the list. If you haven’t received the equipment that should be provided with a particular booklet, contact your maths teacher.

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Check your answers after doing each exercise. Exercises or activities where you need to do this are shown by a ✔ . You’ll find these answers on the pages that follow the last lesson. This is an important part of your learning, so do it carefully.

Complete all the exercises for teacher assessment. Nearly all booklets also have some kind of assessment task which your teacher will mark. You must send all your written work to your teacher.

Complete the Evaluation page on the inside of the back cover. You have the chance there to show how you think you got on.

Return each booklet, with your work to be assessed, as soon as you’ve finished it. This means you’ll be able to make the best use of feedback from your teacher.

Getting help If your answer to a question is different from that in the answer guide • first reread the teaching for that section in the booklet • then try the question(s) again. If that doesn’t make it clear, contact your mathematics teacher. You can do this between 9 am and 4 pm each school day. Use email, or call the tollfree phone 0800 65 99 88. Have your ID number handy and pen, paper and calculator.

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Accessing maths online You can access some maths resources online from http://www.tekura.school.nz • • • •

Click on subjects & courses Click on subject websites Click on mathematics Click on your maths programme

How will I be assessed? The work you mark yourself in each booklet will give you a good idea of how well you’ve understood the teaching. You will find information about what you will be assessed on, and where, inside the front cover of most booklets.

The exercises to be assessed by your teacher are indicated by a

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Maths MX000 Series