Geometry

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

• Bearings
• example

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

• Arcs and sectors
• 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)

Circle (Higher)

• 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

Co-ordinates

• Cartesian coordinates
• Reading cartesian coordinates
• Plotting cartesian coordinates
• Polar coordinates

3D shapes

• 3-d shapes
• 3-d shapes : planes
• 3-d shapes : prisms

Matrices

• matrix algebra
• Matrix multiplication
• Determinants
• • 2 x 2 matrix
  • 3 x 3 matrix
  • Cofactor of a 3 x 3 matrix
  • Adjoint of a 3 x 3 matrix
• Inverse of a square matrix
• Transformation matrices

Pythagoras' Theorem

• 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
• 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

• Reflections - horizontal
  click on the link for an interactive java play !
• reflections - vertical
  click on the link for an interactive java play !
• Reflections - diagonal
  click on the link for an interactive java play !
• Reflections - vertical
  click on the link for an interactive java play !

• Reflections -
• Rotations
• Transformations

Scale drawings

• Map scales
• 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

• 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

Straight Line (Higher)

• 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

Triangles

• Types of triangles

Triangles (Higher)

• higher:altitudes
• higher: centroid
• higher:circumcentre
• higher: circumcircle
• higher:concurrency
• higher:median
• higher: orthocentre
• higher: perpendicular bisector

Vectors (Higher)

• 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

Vectors (Ad Higher)

• Vector product
• Scalar triple product
• Planes
• Vector equations
• Equations of a line
• Intersections