Last updated: 8/15/2021

 Subject: Mathematics (NYS P-12 Common Core)
 Unit Title: Grade K - Geometry
 Approx. Number of Weeks: 2nd Semester

#### Unit Summary:

Shapes and Space can be described.

Geometric vocabulary will be used to describe geometric ideas, such as shape, orientation and spatial relations.

A variety of 2-D shapes (square, triangle, circle, hexagon, rectangle), presented in a variety of ways (e.g. different sizes and orientations) will be identified, named and described.

A variety of 3-D shapes (spheres, cubes, cones, cylinders ) presented in a variety of ways (e.g. different sizes and orientations) will be manipulated, identified, named and described.

Basic shapes and spatial reasoning will be used to model objects in the environment and construct more complex shapes.

The understanding of geometry and number will be integrated (e.g. create simple navigational directions; walk ten steps forward, turn right, and walk forward five steps; play Simon Says, etc.)

 Collaboration & Communication Creativity & Innovation Critical Thinking & Problem Solving Research & Information Fluency Social & Emotional Intelligence

### 1. What will students know and be able to do?

#### Standards:

 K.G.1 - Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. K.G.2 - Correctly name shapes regardless of their orientations or overall size. K.G.3 - Identify shapes as two-dimensional (lying in a plane, "flat") or three dimensional ("solid"). K.G.4 - Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/"corners") and other attributes (e.g., having sides of equal length). K.G.5 - Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. K.G.6 - Compose simple shapes to form larger shapes. For example, "Can you join these two triangles with full sides touching to make a rectangle?"

#### Essential Understandings:

Students will understand that…

Geometry describes the world.

#### Essential Questions:

How do I describe an object?

Possible ways to scaffold the question:

What is the shape?

Is the shape flat or solid?

How can we describe the shape’s position in space?

#### Students will know:

The physical world can be interpreted and described with geometric ideas.

Shapes can be identified and described.

Shapes can be analyzed and compared for their similarities, differences and parts

Simple shapes can be composed to form larger ones.

#### Students will be able to:

Geometry

Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to. (K.G.1)

Correctly name shapes regardless of their orientations or overall size. (K.G.2)

Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”) (K.G.3)

Analyze, compare, create, and compose shapes.

Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length). (K.G.4)

Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes. (K.G.5)

Compose simple shapes to form larger shapes. For example, "Can you join these two triangles with full sides touching to make a rectangle?” (K.G.6)

Color Code Key: Gaps, Major Clusters, Supporting Clusters, Additional Clusters

### 3. What learning activities will students participate in?

#### Discipline Specific Considerations:

Vocabulary – Specialized and High Frequency

Above, below, behind, beside, in-front-of, next-to, under, circle, square, triangle, rectangle, hexagon, cube, cone, cylinder, sphere, 2-dimensional, 3-dimensional, describe, position, shape, corner, side, attribute, compare, create, compose, size, geometry, forward, backward, similarities, differences. parts