Students develop common understanding of mathematical ideas, including the role of definitions. Students describe, extend, analyze, and create a wide variety of patterns.
Students learn that many objects can be described in terms of simple plane figures and solids.
Shapes can be compared in terms of concepts such as parallel and perpendicular, congruence and similarity, and symmetry. Symmetry can be found by reflection, turns or slides . 2d in some direction. In the following activities, students compare and contrast quasi- periodic tiling with periodic tilings. In a more systematic approach, students usually explore periodic tilings before learning about quasi-periodic tiling.