Geometry

The study of the properties and relationships of points, lines and surfaces in space.
Angles
  • Angles - How to draw them

  • Angles - How to name them

  • Angles - Measuring angles

  • Angles - Types of angle 1 ( acute, etc)

  • Angles - Types of angle 2 ( complementary, etc)

  • Angles - Vertically opposite and Corresponding

  • Click on the link for an interactive java play !
  • Angles - Alternate !

  • Click on the link for an interactive java play !
    Bearings
  • Example


  • Arcs and Sectors

    Perimeter, Area & Volume
  • Perimeter
  • Area
  • Area of a square
  • Area of a rectangle
  • Area of a triangle
  • Area of a circle
  • Area of a kite
  • Volume
  • Volume of a prism
  • Volume of a cuboid

  • Surface area

  • Composite Area
    Composite Volume
    Surface area of a cylinder
    An excel example for finding min surface area of a cylinder

    The Circle
  • Calculating the circumference

  • Calculating the area

  • Circle - Arcs, sectors Overview

  • Circle - Calculating length of arcs

  • Circle - Calculating the area of a sector

  • Circle - Chords and things

  • Circle - Pythagoras in a circle

  • Circle - Angle in a semi circle


  • Circle - Area and Circumference

  • Click on the link for an Excel based quiz. (380 KB)

    The Circle - Higher Course examples
  • Equation of circle : x^2 + y^2 = r^2


  • Equation of circle : given centre, radius


  • Equation of circle : line joining diameter


  • General equation of circle


  • Intersection of line & circle


  • Tangents to a circle




  • Co-ordinates
    Cartesian coordinates
    Reading Cartesian coordinates
    Plotting Cartesian coordinates
    Polar coordinates

    Dimensions
    3-D shapes
    3-D shapes : planes
    3-D shapes : prisms


    The Theorem of Pythagoras
    Finding the length of the hypotenuse
    Finding the length of a shorter side
    The Converse of the Theorem of Pythagoras

    Quadrilaterals
  • Quadrilaterals - Line Symmetry

  • Click on the link for an interactive java play !
  • Quadrilaterals - Rotational Symmetry

  • Click on the link for an interactive java play !


    Reflections - horizontal
    Click on the link for an interactive java play !
  • Reflections - vertical

  • Click on the link for an interactive java play !
  • Reflections - diagonal

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  • Reflections - vertical

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    Scale Drawings
  • The Rule of 3
  • Example
  • Click here for Powerpoint 2003 ( 200 KB)


  • Similarity
    Congruence
    Enlargements & Reductions
    Scale factor
    The Rule of 3
    Similar shapes
    Similar triangles
    Scaled area
    Scaled volume

    The straight line
  • Gradients

  • Equations and graphs

  • Plotting Straight Line Graphs

  • Finding equations from Straight Line Graphs

  • Straight lines, gradients and the y-intercept
    click on the link for an Excel refresher (677 KB)
  • Straight lines - Quick Quiz


  • Higher Straight Lines
  • Higher: y - b = m(x-a)

  • Higher: gradient = tan theta

  • Higher: Distance formula

  • Higher: Midpoint formula

  • Higher: Perpendicular lines

  • Higher:Collinearity

  • Higher:General Equation of a Straight Line


  • Types of Triangles
  • Higher:Altitudes

  • Higher: Centroid

  • Higher:Circumcentre

  • Higher: Circumcircle

  • Higher:Concurrency

  • Higher:Median

  • Higher: Orthocentre

  • Higher: Perpendicular bisector



  • Vectors
  • Scalar and vector quantities

  • Components

  • Magnitude

  • Position Vectors

  • Unit Vector

  • Zero Vector

  • Equal vectors

  • Adding vectors

  • Subtracting vectors

  • Collinearity

  • Perpendicular vectors

  • Angle between vectors

  • Scalar Product

  • Example

  • Section Formula