Unit 6

Analyzing, comparing, and Composing Shapes







Description: Students end the year with an exploration of shapes.  Students build shapes from components, analyze and compare them, and discover that they can be composed of smaller shapes, just as larger numbers are composed of smaller numbers.






CCSS for Mathematical Content

Counting and Cardinality



Understand the relationship between numbers and quantities; connect counting to cardinality.

a. When counting objects in standard order, say the number names as they relate to each object in the group, demonstrating one-to-one correspondence.

b. Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted.

c. Understand that each successive number name refers to a quantity that is one larger.





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 lengths).




Model shapes in the world by building shapes from components (e.g., stick and clay balls) and drawing shapes.




Compose simple shapes to form larger shapes. For example, “Can you join these two triangles with full sides touching to make a rectangle?”






Enduring Understandings:

•          Students describe their world by using shapes and their position.

•          Students identify two-dimensional and three-dimensional shapes based on their attributes.

•          Students sort shapes in different ways.

•          Students tell how shapes are alike and how they are different.

•          Students use small shapes to make larger shapes.

•          Students draw two-dimensional shapes.


Essential Questions:


•          How can I tell about shapes? 

•          Where can shapes be found in my world?

•          How can I sort and tell about shapes?

•          How are shapes alike?  Different?

•         How can I use two-dimensional shapes to make new shapes?