Kindergarten Fall Math — Counting to 100, Subitizing, Cardinality, Shapes, and Pattern
Lesson 15 30 min math.gK.f.lesson_15

3D solids — sphere, cube, cone, cylinder

Objectives
  • Students can name 3D solids (sphere, cube, cone, cylinder) and find real-world examples.
  • Students can distinguish 2D (flat) shapes from 3D (solid) shapes.
Vocabulary
solid3Dspherecubeconecylinderfaceedgerollstack

Lesson plan

Warm-up

5 min

Roll or stack test: teacher holds up a ball (sphere), a die (cube), a soup can (cylinder). 'Which one rolls? Which one stacks?'

Teacher moves
  • Demonstrate: ball rolls every direction; can rolls only one direction; die only stacks.
  • 'Why? Let's find out.'
Media
M-K-F-GM-15-B Video Physical / non-image

60-second video. Tabletop with sphere (orange), cube (die), cylinder (soup can), cone (party hat). A child's hand pushes each in turn from one side; camera shows whether each rolls, stacks, or both. On-screen labels appear: 'sphere — rolls ALL ways' / 'cube — stacks' / 'cylinder — rolls ONE way' / 'cone — rolls in a circle.' Bright daylight, top-down camera.

Direct instruction

10 min

Yesterday we met FLAT shapes — 2D. Today: SOLID shapes — 3D. They have THICKNESS — you can pick them up and turn them.

Key examples
  • Sphere = curved all around, like a ball.
    model 'No flat faces — all curved. Rolls every which way!'
    prompt Sphere (ball/orange): how many faces? Edges?
  • Cube = 6 SQUARE faces. Like a die.
    model Count together: 6 flat faces, 12 edges, 8 corners.
    prompt Cube (die): how many faces? Edges? Vertices?
  • Cylinder = 2 circles + a curved wrap.
    model '2 circle faces (top and bottom). Curved side. No vertices.'
    prompt Cylinder (soup can): faces?
  • Cone = 1 circle + curved up to a point.
    model '1 circle face (bottom). Curved up to a point. 1 vertex (the tip).'
    prompt Cone (ice-cream cone): faces?
Checks for understanding
  • Which solid rolls every direction? (sphere)
  • How many flat faces does a cube have? (6)
Media
M-K-F-GM-15-A Chart
24"x36" poster titled '3D SOLIDS.' Four panels: (top-left) sphere with photo of orange + '0 flat faces, 0 edges, 0 verti

24"x36" poster titled '3D SOLIDS.' Four panels: (top-left) sphere with photo of orange + '0 flat faces, 0 edges, 0 vertices, rolls all ways'; (top-right) cube with photo of die + '6 flat faces, 12 edges, 8 corners, stacks'; (bottom-left) cone with photo of party hat + '1 flat circle face, curved up to 1 point (vertex)'; (bottom-right) cylinder with photo of soup can + '2 flat circle faces, curved wrap, no corners, rolls one way.' Bold 36-pt solid names.

Guided practice

8 min
Tasks
  • Solid-or-flat sort: children sort 12 cards (mix of 2D shapes and 3D objects) into 'FLAT' and 'SOLID' piles.
    scaffold First sort with teacher; second pile is independent.
  • Roll-or-stack lab: children predict and test which solids roll and which stack; record on a 2x2 table (rolls / stacks / both / neither).

Formative assessment

2 min
Exit ticket
  • Teacher holds up cube, sphere, cone, cylinder in random order; child names each.
scoring 4/4 = mastery snapshot; 3/4 = practicing; ≤2/4 = reteach

Closure

Moves
  • Class chant: 'Sphere rolls / Cube stacks / Cone points / Cylinder rolls one way!'
  • Preview: 'Tomorrow — position words: above, below, beside!'

Homework

5 min
Tasks
  • Find a sphere, a cube, a cylinder, and a cone in your kitchen. Draw or take a picture (with grown-up help).

Exercises in this lesson

math.gK.f.gm.shapes_3d.ex_01
Sort these 8 objects into two groups: FLAT (2D) and SOLID (3D). Tell me how you decided.
solid or flat sort · diff 2
math.gK.f.gm.shapes_3d.ex_02
For each solid, predict (and then test): does it ROLL, does it STACK, or both? Record on the chart.
roll or stack · diff 3
math.gK.f.gm.shapes_3d.ex_03
Match each solid name to a real-world object photo.
match solid to real world · diff 2

Differentiation

Scaffolds
  • Wooden geosolids (weight-balanced for handling)
  • Real-world objects for direct comparison
Extensions
  • Introduce rectangular prism, triangular prism, pyramid
  • Trace the face shapes of each solid on paper
English Learners
  • Bilingual solid-name cards
  • Real-world object alongside each solid (universal recognition)
Ieps 504s
  • Tactile/weighted solids for sensory input
  • Reduce to 2 solids (sphere + cube only)

Teacher notes

Children often confuse 2D shape names (square) with 3D solid names (cube) — a child may say 'square' when holding a cube. Today's explicit naming of the distinction is essential. The roll/stack lab gives children direct physical evidence of the attribute difference (flat face = stacks; curved face = rolls). Per Clements & Sarama, the 3D solid trajectory follows the 2D shape trajectory by about a year — K's job is just the names and basic attributes.