In the kindergarten lessons, students learn to identify right angles, squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres. Emphasis is placed on learning and using vocabulary that describes the defining attributes of these shapes. Students learn to distinguish between two-dimensional (“flat”) shapes and three-dimensional (“solid”) shapes and describe objects in their environment using names of shapes. They model real-world objects with compositions of shapes. They describe the relative positions of objects using relational terms such as *in front of*, *above*, and *next to*. They analyze and compare two- and three-dimensional shapes focusing on important distinguishing features such as number of sides, number of vertices, or lengths of sides.

- CCSS.MATH.CONTENT.K.G.A.1
- CCSS.MATH.CONTENT.K.G.A.2
- CCSS.MATH.PRACTICE.MP4

- Basic Shapes: Circles
- Basic Shapes: Polygons
- Basic Shapes: Quadrilaterals
- Basic Shapes: Triangles

- CCSS.MATH.CONTENT.K.G.A.1
- CCSS.MATH.CONTENT.K.G.A.2
- CCSS.MATH.PRACTICE.MP3
- CCSS.MATH.PRACTICE.MP4

- Basic Shapes: Triangles

- CCSS.MATH.CONTENT.K.G.A.1
- CCSS.MATH.CONTENT.K.G.A.2
- CCSS.MATH.PRACTICE.MP3
- CCSS.MATH.PRACTICE.MP4

- Angle Tester
- Basic Shapes: Polygons
- Basic Shapes: Quadrilaterals
- Basic Shapes: Triangles

- CCSS.MATH.CONTENT.K.G.A.1
- CCSS.MATH.CONTENT.K.G.A.2
- CCSS.MATH.PRACTICE.MP3
- CCSS.MATH.PRACTICE.MP4

- Basic Shapes: Quadrilaterals
- Composing Polygons

- CCSS.MATH.CONTENT.K.G.A.1
- CCSS.MATH.CONTENT.K.G.A.2
- CCSS.MATH.CONTENT.K.G.B.5
- CCSS.MATH.PRACTICE.MP3
- CCSS.MATH.PRACTICE.MP4

- Basic Shapes: Circles
- Basic Shapes: Polygons
- Basic Shapes: Quadrilaterals
- Basic Shapes: Triangles
- Composing Polygons (optional)

- CCSS.MATH.CONTENT.K.G.B.4

CCSS.MATH.PRACTICE.MP2

- Basic Shapes: Circles
- Basic Shapes: Polygons
- Basic Shapes: Quadrilaterals
- Basic Shapes: Triangles
- Composing Polygons (optional)

- CCSS.MATH.CONTENT.K.G.B.6
- CCSS.MATH.PRACTICE.MP4
- CCSS.MATH.PRACTICE.MP7

- Basic Shapes: Polygons
- Basic Shapes: Quadrilaterals
- Basic Shapes: Triangles
- Decomposing Shapes (optional)

Students further explore shape composition by selecting shapes that complete template puzzles.

- CCSS.MATH.CONTENT.K.G.B.6
- CCSS.MATH.PRACTICE.MP4
- CCSS.MATH.PRACTICE.MP7

- Basic Shapes: Circles
- Basic Shapes: Polygons
- Basic Shapes: Quadrilaterals
- Basic Shapes: Triangles
- Tangram

- CCSS.MATH.CONTENT.K.G.B.6
- CCSS.MATH.PRACTICE.MP4
- CCSS.MATH.PRACTICE.MP7

- Decomposing Shapes

- CCSS.MATH.CONTENT.K.G.A.3
- CCSS.MATH.PRACTICE.MP2

- Basic Shapes: Circles
- Basic Shapes: Polygons
- Basic Shapes: Quadrilaterals
- Basic Shapes: Right Solids
- Basic Shapes: Triangles

- CCSS.MATH.CONTENT.K.G.B.4
- CCSS.MATH.CONTENT.K.G.A.2
- CCSS.MATH.PRACTICE.MP2
- CCSS.MATH.PRACTICE.MP4

- Basic Shapes: Right Solids

Students model shapes in the real world by composing solid shapes.

- CCSS.MATH.CONTENT.K.G.B.5
- CCSS.MATH.PRACTICE.MP4
- CCSS.MATH.PRACTICE.MP7

- Basic Shapes: Right Solids
- Composing Polyhedrons (optional)

**The Kindergarten lessons address the second critical area of focus in the geometry domain of the Common Core State Standards (CCSS):**

Students describe their physical world using geometric ideas (e.g., shape, orientation, spatial relations) and vocabulary. They identify, name, and describe basic two-dimensional shapes, such as squares, triangles, circles, rectangles, and hexagons, presented in a variety of ways (e.g., with different sizes and orientations), as well as three-dimensional shapes such as cubes, cones, cylinders, and spheres. They use basic shapes and spatial reasoning to model objects in their environment and to construct more complex shapes. (CCSS, 2010, p. 9)