Geometry
The study of the properties and relationships of points, lines and surfaces in space.- Angles - how to draw them
- Angles - how to name them
- Angles - measuring angles
- Angles - types of angle ( acute, etc)
- Complementary Angles
- Supplementary Angles
- Vertically Opposite Angles
- Corresponding Angles
- Alternate Angles
- Angles in a polygon (Interior/exterior angles)
- Perimeter
- Area
- Area of a square
- Area of a rectangle
- Area of a triangle
- Area of a circle
- Area of a kite
- |Area of a parallelogram
- Area of a rhombus
- Area of a trapezium
- Volume
- Volume of a prism
- Volume of a cuboid
- Volume of a sphere
- Volume of a cone
- Volume of a cylinder
- Volume of a pyramid
- Surface area
- Composite area
- Composite volume
- 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 (Advanced)
- The circle - higher course examples
- equation of circle : x2 + y2 = r2
- Equation of circle : given centre, radius
- Equation of circle : line joining diameter
- General equation of circle
- Intersection of line & circle
- Tangents to a circle
- Equation of a circle from chords
- Touching circles
- Cartesian coordinates
- Reading cartesian coordinates
- Plotting cartesian coordinates
- 3D coordinates
- Polar coordinates
- matrix algebra
- Matrix multiplication
- Determinants
- Inverse of a square matrix
- Transformation matrices
- The theorem of pythagoras
- Finding the length of the hypotenuse
- Finding the length of a shorter side
- The converse of the theorem of pythagoras
- Hidden pythagoras
- Co-ordinates and Pythagoras
- Congruence
- Enlargements & reductions
- Scale factor
- The rule of 3
- Similar shapes
- Similar triangles
- Scaled area
- Scaled volume
- The straight line
- Gradients
- Gradients - powerpoint
- Equations and graphs
- Plotting straight line graphs
- Finding equations from straight line graphs
- y - b = m(x-a)
- gradient = tan theta
- distance formula
- midpoint formula
- perpendicular lines
- collinearity
- general equation of a straight line
- Types of triangles
- Altitudes
- Centroid
- Circumcentre
- Circumcircle
- Concurrency
- Median
- Orthocentre
- Perpendicular bisector
© Alexander Forrest