interactive mathematics

Please make sure that Java is installed and active in your browser. This will enable you to drag (left mouse button) and change the constructions.

(Note that the Solids & net sketches are not yet Explorer 9 friendly - I apologise for the inconvenience.) 

functions & graphs transformation of functions
graphs of the basic functions transformation: parabola
quadratic function (general) transformation: hyperbola
cubic function (general) transformation: exponential
y = sin x & table transformation: sin-function
y = cos x & table transformation: cos-function
y = tan x & table transformation: tan-function
cubic: Tangent and derivative inverse graphs: exponential & logarithmic
   
transformation geometry geometry: solids and their nets
reflection in the x-axis Net of a rectangular pyramid
reflection in the y-axis Platonic solids: cube
reflection in the line y = x Platonic solids: dodecahedron
translation: triangle Platonic solids: icosahedrons
rotation: triangle Platonic solids: octahedron
rotation of 90°, 180°, 270° Platonic solids: tetrahedron
rotation of a point: formulae  
dilations: enlargement & reduction  
   
geometry: area of triangles geometry: area of quadrilaterals
area and height of triangle

parallelograms between parallel lines
triangles between parallel lines parallelograms & lines: same base
triangles & parallel lines: same base parallelogram: formulae
triangles with same vertex  
   
trigonometry geometry: angles & lines
sin-graph & unit circle vertical opposite angles
3D trigonometry applications angles on a straight line
   
geometry: volume of solids geometry: parallel lines
cone versus cylinder corresponding angles
sphere versus cylinder alternate angles
  co-interior angles
   
intersections geometry: triangles
conic sections sum of interior angles
cube and plane exterior angle & opposite interior angle
cylinders cutting Pythagoras theorem
  Isosceles and equilateral triangles
   
geometry: quadrilaterals Euclidian geometry: circle
trapezium

line through centre and midpoint of chord
parallelogram line from centre perpendicular to chord
rectangle angle at the centre and circumference
square angle on diameter of circle
kite angles at circumference in same segment
rhombus cyclic quad: equal angles
  opposite angles of cyclic quad
  cyclic quad: opposite angles
geometry: advanced exterior angle of cyclic quad
Dual of the tetrahedron tangent and radius
Dual of the cube perpendicular line to tangent
Dual of the octahedron tangents from same point
Snowflake curve (Koch curve) angle between tangent and chord
Euler line: points of intersection rider
   
  other
  cone and height (Pythagoras)
  diagonal in a prism
 

gerrit stols
 
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