Standard 2 : Analyze, compare, create, and compose shapes. (Supporting Cluster) (Archived)



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Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

General Information

Number: MAFS.K.G.2
Title: Analyze, compare, create, and compose shapes. (Supporting Cluster)
Type: Cluster
Subject: Mathematics - Archived
Grade: K
Domain-Subdomain: Geometry

Related Standards

This cluster includes the following benchmarks
Code Description
MAFS.K.G.2.4: 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).
MAFS.K.G.2.5: Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.
MAFS.K.G.2.6: Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MAFS.K.G.2.AP.6a: Compose a larger shape from smaller shapes.
MAFS.K.G.2.AP.4a: Recognize two-dimensional shapes in environment, regardless or orientation or size.
MAFS.K.G.2.AP.4b: Use spatial language (e.g., above, below, etc.) to describe three-dimensional shapes.
MAFS.K.G.2.AP.5a: Build three-dimensional shapes.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Original Student Tutorials

Name Description
Sorting Shapes:

Learn to sort and identify two-dimensional and three-dimensional shapes in this carnival-themed interactive tutorial.

The Search for Shapes: Recognizing Rectangles and Squares:

Identify and name rectangles and squares based on their defining attributes, even if they have different sizes or positions. Join King Geo and his scout, Quad, as they search for rectangles and squares in this interactive tutorial. 

This is part of a series on the defining attributes of shapes. Click the links below.

The Shape Factory with Robbie the Robot:

Learn to combine simple shapes to compose larger shapes with Robbie the Robot in this interactive tutorial.

Building Shapes With Becca:

Help Becca identify and build shapes that you see in the world around you as you complete this interactive tutorial.

Briana's Shape Playground:

Learn how to identify the similarities and differences in the number of sides of two-dimensional shapes in this interactive tutorial.

Educational Game

Name Description
Shape & Solid Exploration: In this game, learners use clues to identify mystery shapes. Use everyday objects (like from the pantry) as the shapes. It is important for learners to be able to describe a shape with correct math vocabulary and to be able to visualize a shape in their head.

Formative Assessments

Name Description
Hexagonal Tiles:

Students examine a picture of hexagonal tiles and draw a model of a tile.

Modeling the Shape of the Door:

Students draw the outline of the door.

Model the Shapes:

Students look at two photographs taken at a school and choose a shape from one of the photographs to model or draw.

How Are These Shapes Alike?:

Students compare and contrast two shapes based on their attributes.

Draw a Triangle:

Students draw a triangle and explain their reasoning in drawing the shape.

Cubes and Prisms:

Students compare a cube to a rectangular prism and discuss the similarities and differences.

Compose a Rectangle:

Students join two right triangles together to compose a rectangle.

Compose a Hexagon:

Students use triangles to compose a hexagon.

Can You Make a Rectangle?:

Students are asked to make a rectangle using only squares.

Compare Rectangles and Triangles:

Students compare a triangle to a rectangle based on attributes of these figures.

Compare Hexagons:

Students compare two hexagons and describe how they are alike and how they are different.

Compose a Square:

Students join small squares together to compose a larger square and then justify the new shape.

Lesson Plans

Name Description
Creating Shapes in Our World:

In this lesson, students will work with 3-Dimensional shapes identifying attributes of the shapes and recreating them. Students will create, identify and describe 3-Dimensional shapes as part of the assessment process.

Understanding Polygons:

This is a simple and fun activity that is great to incorporate into your geometry unit. As you read "The Greedy Triangle" aloud, the students "create" each shape with marshmallows and pretzel sticks - as you are reading the story, they complete a sheet in which they write the name of each shape, draw the shape, and record the number of sides and vertices each shape has.

Eating Shapes (Exploring 3D Shapes):

This lesson is an introduction to 3-dimensional shapes. The lessons uses food to help students explore the attributes of those shapes. Then, of course, the students get to eat them!

Hide and Seek those Shapes:

In this lesson, students will discover the names of different two-dimensional and three-dimensional shapes and their attributes through activities such as playing "Hide and Seek" with shapes and playing "Hot and Cold" to find shapes in the classroom.

ShapeBot:

In this hands-on lesson, students will be challenged to demonstrate their understanding of shapes to combine smaller two-dimensional shapes to form larger composite shapes. The lesson culminates with students using triangles, rectangles, and squares to form a "robot".

Shape Creator:

In this lesson, students will be taking their knowledge of two-dimensional shapes and applying it to recognizing combinations of shapes in real-world objects. They will also sketch these shapes and use them to model real-world objects.

What am I? (An Exploration of 3D Shapes):

Students work together to build and identify three-dimensional shapes and their attributes.

Shape Up!:

In this lesson students will compare two-dimensional shapes to other two- dimensional shapes (circle, square, triangle, and rectangle) and three-dimensional shapes to other three-dimensional shapes (cone, cylinder, sphere, cube) by differentiating them according to attributes. Students describe attributes of shapes by exploring real world objects.

3D Shape Shifters:

This is a hands-on lesson that introduces and allows students to identify and build three-dimensional figures including rectangular prisms, square pyramids, and cubes. The students will also gain an understanding of what a vertex is, and how many vertices a given shape has.

Going On a Shape Hunt: Integrating Math and Literacy :

Integrating mathematics and literacy allows students to develop an understanding of the place of mathematics in their world. Students are introduced to the idea of shapes through a read-aloud session with an appropriate book. They then use models to learn the names of shapes, work together and individually to locate shapes in their real-world environment, practice spelling out the names of shapes they locate, and reflect in writing on the process. This lesson provides opportunities to engage students using many different learning modalities.

Teaching Ideas

Name Description
String Shapes: In this activity, learners work together to make polygons with string. Learners explore making different kinds of triangles, quadrilaterals, and other polygons. Through teacher-led questioning and discussion, students can analyze and compare two dimensional shapes in different sizes and orientations, as well as similarities, differences, and attributes. (Please note: the understanding of concave & convex polygons are not part of kindergarten geometry standards.)
Shape Hunt:

To give students opportunities to recognize, describe, build, and explore shapes in many different contexts.

Virtual Manipulatives

Name Description
Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

Patch Tool:

This virtual manipulative allows you to create patches and more complex figures using the provided 2-dimensional geometric shapes.

Shape Cutter:

This virtual manipulative allows students to draw geometric shapes and then decompose and recompose them into other shapes, using slides, turns, and flips to cut and move pieces around.



Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Original Student Tutorials

Title Description
Sorting Shapes:

Learn to sort and identify two-dimensional and three-dimensional shapes in this carnival-themed interactive tutorial.

The Search for Shapes: Recognizing Rectangles and Squares:

Identify and name rectangles and squares based on their defining attributes, even if they have different sizes or positions. Join King Geo and his scout, Quad, as they search for rectangles and squares in this interactive tutorial. 

This is part of a series on the defining attributes of shapes. Click the links below.

The Shape Factory with Robbie the Robot:

Learn to combine simple shapes to compose larger shapes with Robbie the Robot in this interactive tutorial.

Building Shapes With Becca:

Help Becca identify and build shapes that you see in the world around you as you complete this interactive tutorial.

Briana's Shape Playground:

Learn how to identify the similarities and differences in the number of sides of two-dimensional shapes in this interactive tutorial.

Virtual Manipulatives

Title Description
Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

Patch Tool:

This virtual manipulative allows you to create patches and more complex figures using the provided 2-dimensional geometric shapes.

Shape Cutter:

This virtual manipulative allows students to draw geometric shapes and then decompose and recompose them into other shapes, using slides, turns, and flips to cut and move pieces around.



Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

Virtual Manipulative

Title Description
Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.