Students use Unifix cubes or pattern blocks to create designs. Students work through the Tiling a Floor lesson that is described in the First FourStandards of this Framework . They discover that the shapes which can be used for tiling must be able to fit around a point without leaving spaces and without overlapping. Students create borders from a single simple design element which is repeated using slides, flips, and turns. Students study and describe the use of transformations in Pennsylvania Dutch hex signs, and then they design their own.
Students create quilt designs by using geometric transformations to repeat a basic pattern.
Develop the concepts of coordinates and paths, using maps, tables, and grids. Students create Logo procedures for drawing rectangles or other geometric figures. A good interdisciplinary assessment in both reading and mathematics is to have students draw maps for stories they have read, using coordinates to identify the locations of critical events or objects in the story. Students find the lengths of paths on a grid, such as the distance from Susan's house to school. Understand the variety of ways in which geometric shapes and objects can be measured.