Systematically Count Shapes in a Figure
Small pieces combine into larger ones, so counting all triangles, quadrilaterals, segments, or vertices in a composite figure requires an organized sweep by size or type to avoid missing or double-counting. Learners count hidden shapes in grids and composites and tally dots, lines, and faces. The discipline is exhaustive, non-overlapping enumeration.
grade 3–4 GOA Make a Systematic ListDraw a Diagram
Progression (5)
3-1 1. Count all shapes hidden in a grid 1.G.A.23.OA.D.9
3-1 2. Count segments between points on a line 4.G.A.13.OA.D.9
4-1 3. Express counts of dots, lines, faces 4.OA.C.5
4-2 4. Systematically count all triangles in a composite 4.G.A.2
4-2 5. Count all the rhombuses in a figure of small triangles 4.G.A.2