Geometry Curriculum Track Kindergarten Lessons

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.

Lesson 1: Circles and Position

Students develop a working definition of a triangle that can be used to discriminate between two-dimensional shapes that are triangles and those that are not triangles. They are introduced to vocabulary related to polygons (e.g., sides and vertices). Emphasis is placed on the defining attributes of triangles and using the defining attributes to justify decisions about whether a shape is a triangle or not.

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

MyStemKits 3D Kits used

• Basic Shapes: Circles
• Basic Shapes: Polygons
• Basic Shapes: Quadrilaterals
• Basic Shapes: Triangles

Lesson 2: Introducing Triangles

Students develop a working definition of a triangle that can be used to discriminate between two-dimensional shapes that are triangles and those that are not triangles. They are introduced to vocabulary related to polygons (e.g., sides and vertices). Emphasis is placed on the defining attributes of triangles and using the defining attributes to justify decisions about whether a shape is a triangle or not.

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

MyStemKits 3D Kits used

• Basic Shapes: Triangles

Lesson 3: Identifying Right Angles

Students are introduced to the concept of a right angle. They identify examples of right angles in the real world and in geometric shapes and are introduced to vocabulary related to angles (i.e., sides and vertices). This lesson prepares students for understanding and identifying rectangles.

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

MyStemKits 3D Kits Used

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

Lesson 4: Introducing Rectangles

Students develop a working definition of a rectangle that can be used to discriminate between two-dimensional shapes that are rectangles and those that are not rectangles. They continue to use vocabulary related to polygons (e.g., sides and vertices). Emphasis is placed on the defining attributes of rectangles and using the defining attributes to justify decisions about whether a shape is a rectangle or not.

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

MyStemKits 3D Kits Used

• Basic Shapes: Quadrilaterals
• Composing Polygons

Lesson 5: Introducing Hexagons

Students develop a working definition of a hexagon that can be used to discriminate between two-dimensional shapes that are hexagons and those that are not hexagons. They continue to use vocabulary related to polygons (e.g., sides and vertices). Emphasis is placed on the defining attributes of hexagons and using the defining attributes to justify decisions about whether a shape is a hexagon or not.

• 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

MyStemKits 3D Kits Used

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

Lesson 6: Comparing Flat Shapes

Students analyze and compare properties of two-dimensional (flat) shapes to which they have been introduced. They develop and deepen their understanding of defining attributes of two-dimensional shapes by analyzing and comparing them. Students analyze circles, triangles, rectangles, and hexagons. They compare shapes based on the numbers of sides, vertices, presence of right angles, and congruence of sides.

• CCSS.MATH.CONTENT.K.G.B.4
CCSS.MATH.PRACTICE.MP2

MyStemKits 3D Kits Used

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

Lesson 7: An Introduction to Composing Shapes

Students recognize that shapes can be joined along sides of equal length to compose new shapes. They compose rectangles, squares, and hexagons using other two-dimensional shapes.

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

MyStemKits 3D Kits Used

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

Lesson 8: Composing Shapes with Templates

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

MyStemKits 3D Kits Used

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

Lesson 9: Decomposing Shapes

Students will work to decompose known shapes into their component parts. They will explore and discuss the shapes and their attributes that compose hexagons, pentagons, and other complex shapes.

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

MyStemKits 3D Kits Used

• Decomposing Shapes

Lesson 10: Flat and Solid Shapes

Students learn to distinguish between two- and three-dimensional shapes. Terms describing attributes of three-dimensional shapes are also introduced.

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

MyStemKits 3D Kits Used

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

Lesson 11: Naming Solid Shapes

Students are introduced to cubes, cylinders, cones, and spheres. Emphasis is placed on identifying and naming these solids using manipulatives and finding examples in the environment.

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

MyStemKits 3D Kits Used

• Basic Shapes: Right Solids

Lesson 12: Modeling Shapes in the Real World

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

MyStemKits 3D Kits Used

• 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)

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