Triangle Explorer Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid. Pythagorean Explorer Students find the length of a side of a right triangle by using the Pythagorean Theorem, and then check their answers. Squaring the Triangle Students learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Sizes of the legs of the triangle. Floor Tiles Students learn about tessellation on quadrilateral figures by dynamically changing the shape of the quadrilateral through dragging corners.
Students deform a triangle, rectangle or hexagon to form a polygon that tiles the plane.
Corners of the polygons may be dragged, and corresponding edges of the polygons may be dragged. Type of polyhedron, length, width and height. Coloring Multiples in Pascal's Triangle Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables investigating number patterns, and investigating fractal patterns. Coloring Remainders in Pascal's Triangle Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing multiplication tables, investigating number patterns, and investigating fractal patterns. Fractal Dimensions Students investigate the fractal dimensions of several line- deformation fractals.