Tile and Cut Figures with Congruent Pieces
A region is cut into, or built from, congruent pieces; the piece count, a side length, or the total area follows from how the copies fit. Learners recover a side from the number of cut pieces, count grid cards, identify tiling pieces and area, and read a base shape from solid views. It links multiplication and division to spatial structure.
grade 2–4 GMDOA Draw a DiagramVisualize Spatial Relationships
Progression (5)
2-2 1. Cut a rectangle into a grid of cards 2.G.A.23.MD.C.7
3-1 2. Base perimeter from multiple views 3.MD.D.8K.G.A.34.MD.A.3
3-1 3. Recover side length from number of cut pieces 3.OA.A.33.MD.D.8
4-2 4. Count distinct shapes built by adding congruent tiles 4.G.A.2
4-2 5. Identify tiling pieces and total area 4.G.A.24.MD.A.3