Cheat sheets

GA-17Cheat sheet1 pageIn a paid pack

Transformations of Shapes

Spatial routine (what a move keeps and what it reverses), translation, rotation by 90 and 180 degrees, reflection in the axes and in y = x, scaling, the coordinate rule for each move with an original point, compositions (two reflections make a rotation or a translation), mirror and water images, mirror images of clocks, symmetry of shapes and letters, pattern completion by rotation steps, assembling pieces into a figure and grouping figures by a shared rule, and counting squares, rectangles and triangles in figures.

Diagrams from GA-17

GA-18Cheat sheet1 pageIn a paid pack

Folding, Cutting, Nets and Cubes

Patterns in two and three dimensions: paper folding and punching (unfold by reflecting across fold lines in reverse order, layers double per fold, holes on fold lines), folding a rectangle repeatedly, cube nets (the 11 nets, opposite faces, invalid shapes), dice from two views, counting cubes in stacks, painted cubes and cuboids cut into unit cubes, cuts and pieces, and front, top and side views.

Diagrams from GA-18