• 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.
• 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.
• 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.
• 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.
• 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.
• Straight Lines
If you donâ€™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.