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High school

  • Pythagoras
    Pythagoras
    Pythagoras' theorem - the square on the hypotenuse is equal to the sum of the squares on the other two sides - is well known. In this tutorial we revise the theorem and use it to solve problems in right-angled triangles.
    18:47 MIN
    281KB PDF
  • Right Angle Triangle Trigonometry
    Right Angle Triangle Trigonometry
    Trig ratios in a right angled triangle covers sine, cosine and tangent. They are used in engineering, science and maths. This unit introduces them and provides examples of how they can be used to solve problems.
    34:36 MIN
    293KB PDF
  • Non Right Angle Trigonometry
    Non Right Angle Trigonometry
    A common mathematical problem is to find the angles or side lengths of a non right angled triangle when some, but not all of these quantities are known. This unit illustrates several formulae for doing this.
    41:26 MIN
    236KB PDF
  • Years 9-11, Angle Geometry Lesson
    Years 9-11, Angle Geometry Lesson
    This PowerPoint covers angle definitions and properties for Year 9, 10 and 11. It includes angles on a straight line, in a triangle, interior and exterior angles of a polygon and parallel lines. The lesson should take approximately an hour from start to finish. All the answers are included in the PowerPoint and there should be time to discuss and explain each concept as you work through the slides. Ideal as a wrap up to an angles or geometry unit of work.
    1.8MB PPTX
  • Coordinate Geometry (NCEA Level 2)
    Coordinate Geometry (NCEA Level 2)
    AS91256 is a Year 12, Level 2 Standard worth 2 credits. This 40 page booklet provides a number of situations and problems that require you to find distances, lengths, gradients, midpoints, equations and perpendiculars. The questions contain scope for Achievement, Merit and Excellence type questions. There are many worked examples with lots of hints and tips. Full answers are supplied.
    3.3MB PDF
  • Straight Lines
    Straight Lines
    If you don’t the understand the Level 2 Coordinate Geometry achievement standard then you should look at this booklet. It does not contain any exercises but does have a lot of worked examples to help you understand: The Distance Between Points, The Midpoint Formula, Gradients, Collinearity, Gradients of Perpendicular Lines, The Equation of a Straight Line, Medians, Altitudes, Perpendicular Bisectors, Intersection of Lines and Concurrency.
    345KB PDF