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High school

  • The Algebra Project
    The Algebra Project
    This 48 page booklet contains all the Algebra needed for Year 11 from Achieve (simplifying, expanding, substitution and solving) to Merit (simultaneous equations, factoring harder quadratics) to Excellence (quadratic sequences and complex equations). There are pages of drill and pages of examination questions. Can also be used for advanced Year 10 or Year 9.
    1.4MB PDF
  • Algebra Project Answers
    Algebra Project Answers
    This file contains the answers to The Algebra Project above.
    1.2MB PDF
  • Substitution and Formula
    Substitution and Formula
    In mathematics, engineering and science, formulae are used to relate physical quantities to each other. They provide rules so that if we know the values of certain quantities, the values of others can be calculated.
    20:58 MIN
    229KB PDF
  • Expanding and Removing Brackets
    Expanding and Removing Brackets
    Expanding brackets means being able to rewrite the expression in an equivalent form without any brackets. This video shows examples using simple expressions through to brackets inside other brackets (nesting).
    39:25 MIN
    259KB PDF
  • Solving Linear Equations
    Solving Linear Equations
    This video gives examples of simple linear equations and shows how the unknown quantity can be found. This involves collecting terms, removing brackets, and solving linear equations with fractions.
    33:59 MIN
    217KB PDF
  • Solving Inequalities
    Solving Inequalities
    This video explains linear and quadratic inequalities and how they can be solved both algebraically and graphically. It includes information on inequalities in which the modulus symbol is used.
    26:50 MIN
    259KB PDF
  • Simultaneous Equations
    Simultaneous Equations
    Solving a pair of simultaneous equations is equivalent to finding the location of the point of intersection of two straight lines This video looks at the main methods - elimination and substitution and then looks at further examples.
    34:21 MIN
    203KB PDF
  • Simplifying Algebraic Fractions
    Simplifying Algebraic Fractions
    This involves simplifying fractions to their lowest equivalent form, fractions that need to be factorised before simplifying and looks at common mistakes made when cancelling.
    17:33 MIN
    184KB PDF
  • Factorising Quadratic Equations
    Factorising Quadratic Equations
    The video and PDF look at factorising by inspection and then other methods of factorising used for example when the coefficient of x² is not 1 or when there is no constant term.
    42:36 MIN
    250KB PDF
  • Solving Quadratic Equations
    Solving Quadratic Equations
    This video is about the solution of quadratic equations. These take the form ax²+bx+c = 0. We will look at four methods: factorisation, completing the square, using a formula, and solution using graphs.
    50:19 MIN
    336KB PDF
  • Solving Cubic Equations
    Solving Cubic Equations
    21:30 MIN
    242KB PDF
  • Simplify and Solve
    Simplify and Solve
    This 82 page booklet contains work on simplifying expressions, exponents, solving simultaneous equations using algebra and graphs. The pages are ideal for Year 10 and Year 11 Algebra and specifically work for the "Apply Algebraic Procedures in Solving Problems" external examination.
    1.7MB PDF
  • Expand and Factorise
    Expand and Factorise
    This booklet contains 70 pages of worksheets (with answers) cover simple expanding and factorising through to harder work with quadratics. In most cases there are 5 parallel question papers that you can complete. It is an ideal Algebra resource for Year 10 students through to Year 11 especially those that want to sit the MCAT exam AS91027 Apply algebraic procedures in solving problems.
    273KB PDF
  • Year 11 Algebra Skills
    Year 11 Algebra Skills
    This resource can either 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.
    689KB PDF
  • Systems of Equations (NCEA Level 2)
    Systems of Equations (NCEA Level 2)
    AS91269 is a Year 12, Level 2 Achievement Standard worth 2 credits. 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 with many worked examples, lots of hints, tips and full answers.
    1.8MB PDF
  • Logarithms
    Logarithms
    Before calculators logarithms were used to assist in multiplication and division. They still appear in a number of calculations in engineering, science, business and economics. There is a video that looks at what a logarithm is, why use it and examples on how to use them. There is also a PDF booklet with further information.
    34:48 MIN
    96KB PDF