Kindergarten Spring Math — Compose/Decompose to 10, Addition & Subtraction within 10, Teen Numbers as Ten-and-Ones, Measurement, and Classification
Math · GM K math.gK.s.gm.compose_shapes

Compose simple shapes to form larger shapes (K.G.B.6)

Compose larger shapes from smaller shapes. Specifically: two right triangles compose a square or rectangle; two squares compose a rectangle; six equilateral triangles compose a hexagon; a triangle on top of a square composes a 'house' pentagon; a square + a triangle + a rectangle compose various pictures (house, tree, sailboat). The K-stretch is shape substitution: realize that the same large shape can be composed in multiple ways (a rectangle = 2 squares = 4 right-triangles).

Mastery threshold
90%
Min instances
10
Typical minutes
25
Spaced intervals (days)
1, 3, 7, 14, 30, 60
Successors
  • math.g1.s.gm.compose_3d_shapes
    (not yet loaded)
  • math.g1.s.gm.partition_shapes_into_halves_fourths
    (not yet loaded)
Common misconceptions
  • Leaves gaps or overlaps when composing — does not see that shapes must tile without gap or overlap.
  • Cannot recognize a hexagon when it is composed of six triangles (sees only the small triangles, not the larger shape).
  • Rotates the composed shape and reports it as 'a different shape' (rotation-invariance not yet established for composed shapes).
  • Tries to fill a hexagon with squares (does not realize squares cannot tile a hexagon).

Exercise pool (3)