Angles in a Triangle
Show that when you move the points of a triangle the angles always sum to 180^{o}
Angle in a Semicircle
Show that the angle drawn in at the circumference from either ends of the diameter is always 90^{o}.
Polygons
Make a poster showing the basic polygons and their names. For example
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Parallel Lines
Move intersecting parallel lines to show that alternate, vertically opposite and corresponding angles are always equal.
Tangram
Accurately construct the perfect Tangram puzzle after first calculating the required lengths and angles.
Rotational Symmetry
Triangle Centres
Research different ways of finding the centre of a triangle. Investigate the conditions under which at least two of the following coincide:
Centroid
Circumcenter
Incenter
Orthocenter.
Unit Circle
Show the relationship between sine and cosine in a dynamic unit circle.
Transformations
Find the transform tools then make dynamic diagram showing what each type of transformation looks like.