Booklets
If you need specific information on a particular mathematical topic then you will find it here. Most of the booklets are 50 pages or more of concentrated explanations and exercises to practise. Visit this section often as it will be continually updated with booklets being revised and added to each month.
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AS91027 Apply Algebraic Procedures In Solving Problems
This 84 page booklet is designed for the MCAT (Mathematics Common Assessment Task). It is the NCEA Level 1 Achievement Standard for algebra and covers expanding and factorising, exponents, substituting values, linear patterns, solving equations, quadratics, rearranging formulae and simultaneous equations. There are specific achievement, merit and excellence examples and exercises to cater for all student levels. The booklet contains both write-on sheets and worksheets that could be used as homework or classwork sheets. At the back we have put the actual 2011 and 2012 exam papers (along with the answers). Each year, during September, over 40,000 New Zealand students will sit the MCAT exam. By using this booklet they will have the best chance at passing this standard.
Also make sure you refer to the videos listed below.Download Now Year / Level:
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Videos: Expanding and Removing Brackets | Simple Linear Equations | Simplifying Algebraic Fractions | Simultaneous Linear Equations | Solving quadratic equations | Substitution & Formulae
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AS91256, Apply Coordinate Geometry Methods in Solving Problems
AS91256 is a Year 12, Level 2 Achievement Standard worth 2 credits towards NCEA. This 40 page booklet provides a number of situations and problems that require you to find distances, lengths, gradients, midpoints, equations and perpendiculars. To gain achievement in this standard requires you to understand all of these processes. To gain a merit grade requires you to carry out a sequence of steps that link together these different concepts. To gain an excellence grade requires extended abstract thinking. You should be able to explain the logic behind any answers you produce and be able to justify them with appropriate mathematical statements. Quite often you will need to use algebra to prove your answer. The questions in this booklet contain scope for all of the Achievement, Merit and Excellence type questions. There are many worked examples with lots of hints and tips. Full answers are supplied. The booklet will help you approach this achievement standard with confidence no matter what grade you want.Download Now Year / Level:
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Videos: Properties of straight line segments | Pythagoras' Theorem | Simple Linear Equations | Tangents and Normals | The Geometry of a Circle | The gradient of a straight line segment
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AS91269 Apply Systems of Equations in Solving Problems
AS91269 is a Year 12, Level 2 Achievement Standard worth 2 credits towards NCEA. This booklet provides a number of situations and problems that require you to form and use pairs of simultaneous equations and inequations. Both linear and non linear equations are used. There are 40 pages in this booklet and the exercises require you to devise strategies to enable you to solve the problems. There are many worked examples and lots of hints, tips and full answers are supplied. The booklet will help you approach this achievement standard with confidence.Download Now Year / Level:
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Videos: Solving Cubic Equations | Solving quadratic equations | The Geometry of a Circle
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Algebra Skills for NCEA Level 2
This document was sent to us by another teacher. It can be used to determine whether you have the algebra skills needed to proceed into a Year 12, mathematics course or it can also be used to study for AS91027 (the Level 1 MCAT - Maths Common Assessment Task). There are worked examples, practice questions, and practice assessments with all answers provided. Topics include indices, manipulating brackets, expanding and factorising, solving linear equations and other algebraic expressions. The booklet is 26 pages in length.Download Now Year / Level:
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Videos: Expanding and Removing Brackets | Factorising Quadratic Equations | Fractions - adding and subtracting | Powers or Indices | Pythagoras' Theorem | Simple Linear Equations | Simplifying Algebraic Fractions | Simultaneous Linear Equations | Solving quadratic equations | Substitution & Formulae | Surds
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Grand Designs and Structures
This 80 page booklet features line designs, fun with circles, impossible pictures and nets for some very interesting solids. There are lots of ideas on how to arrange your art to form some really grand designs. Don't just photocopy the pages to make a small model. They are there to give you ideas on how to make each shape, so expand your mind and create some really grand structures. With the pages in this book, your maths classroom is about to be transformed from a blank canvas to a visual symphony! -
Simulations Chance and Data
This excellent 60 page book with teacher notes and student handouts guides students through a number of simulation exercises to show that sometimes in real life, situations don’t always come out the way we expect. As well as the teacher notes and student worksheets there is also an explanation on how to use the RND# function on a calculator and how to use Excel for simulations.
Can we predict male/female compositions in different family sizes? How many winning streaks can you expect when playing against a person of equal ability? How many packets of tea do you need to purchase in order to collect a full set of 6 jigsaw pieces? What floor will people get off when setting out in an elevator? Do lie detectors really work? What is the Monty Hall dilemma? Do we need to worry about radioactive decay? What are the chances of having the same birth date as another person in the same room? How fast can an infectious disease spread? Can we predict lambing rates on a farm? What are the chances of not getting on the plane on your next flight? To find out the answer to any or all of these, download Simulations Chance and Data by Kim Freeman. -
Miscellaneous Worksheets
This resources was sent to us by Barry Bellamy, a retired NZ teacher. It contains 20 tested worksheets covering work for Year 9 or Year 10. There are sheets on Angles, Area, Algebra - collecting like terms, Circle Geometry, Decimal arithmetic, Factorising, Fraction Arithmetic, Percentages, Solving Equations, Statistics (mean, median, mode, range), Substitution, Solving Quadratics, Standard Form, Transformations (enlargement, reflection, rotation). Don't spend time preparing worksheets. You will find the material you want on this site. -
Mighty Maths Numeracy Project
This excellent booklet from Kim Freeman contains 16 double sided pages of numeracy work for Year 7 and up. These are not just ordinary pages of mindless addition, subtraction, multiplication and division but a collection of worksheets that help students become more aware of numbers, how they are related as well as little tricks to help make numeracy more interesting and fun. There are: addition pyramids, number hunts, methods of multiplication, beautiful numbers, adding over the tens, adding in parts, number bonds, partitioning, Fibonacci minutes, division tips, 24 challenge, four 4s and consecutive numbers. Use them as homework sheets or during class. -
Year 9 Mathematics Exams
This booklet contains a sample Year 9 course outline as well as exams and practice exams for Year 9 and each of Terms 1, 2, 3 and 4. At the back of the booklet are some coordinate geometry worksheets for those students that dare to finish early. In Year 9 there are 3 strands in the curriculum, each separated into topics. Mathematical processes such as problem solving, reasoning and communicating mathematical ideas are covered across all the strands.
Number and Algebra
Numeracy strategies for solving number problems without a calculator.
Developing an understanding of numbers, confidence in calculating and the ability to estimate and approximate.
Recognising algebra patterns, thinking abstractly and communicating mathematical relationships.
Measurement and Geometry
Developing knowledge and understanding of measurement systems with and without the use of measuring instruments.
Developing spatial awareness and using models as aids to solving practical geometry problems.
Statistics and Probability
Collecting, organising, analysing, presenting and interpreting data.
Finding the probability of everyday events.Download Now Year / Level:
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Videos: Decimals | Fractions - adding and subtracting | Fractions - basic ideas | Fractions - Multiplying and Dividing | Percentages | Powers or Indices | Rules of arithmetic | Simple Linear Equations
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NCEA Level 2 Mathematics
This booklet contains over 170 pages of work for the main Level 2 Achievement Standards. Each chapter starts off with a revision summary of all the main points in the standard. There are then 2 practise assessments that can test whether you are ready for the exernal examinations. Fully worked answers are included in the back section. Note that this book was written for the Achievement Standards that were replaced in 2012. However the general content is unchanged for most of the new standards therefore this book is a valuable resource for ALL Year 12 students.Download Now Year / Level:
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Videos: Arithmetic and geometric progressions | Completing the Square - By Inspection | Completing the Square - Maxima & Maxima | Differentiating logs and exponents | Differentiating Powers of x | Differentiation from First Principles | Equations of straight lines | Factorising Quadratic Equations | Finding areas by integration | Introduction to functions | Limits of sequences | Logarithms | Properties of straight line segments | The sum of an infinite series
