Unit 6

Geometry: Classifying Two-Dimensional Figures

Grade 5




In unit 6, students will continue the study of polygons, rhombuses, rectangles, squares, triangles and quadrilaterals. Students will classify two-dimensional figures into categories based on their properties. Students will reason about the properties of shapes as they make sense of the hierarchy of shapes. Students will create shapes using a coordinate plane and ordered pairs.


Additional Cluster: G: Geometry

Classify two-dimensional figures into categories based on their properties.


Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.


Classify quadrilaterals in a hierarchy based on properties. (Students will define a trapezoid as a quadrilateral with at least one pair of parallel sides.)

Enduring Understandings:

         Ordered pairs are used to locate specific locations on a coordinate plane.

         Plane shapes have many properties that make them different from one another.

         Polygons can be described and classified by their sides and angles.

         Any subcategory of a shape must also belong to the more general category of a shape.

         Two dimensional figures can be classified into categories based on their properties.

Essential Questions:

         How do I use the language of math to make sense of/solve a problem?

         What is the best way to categorize a particular shape?

         What are the properties of 2 dimensional figures?

         What is the relationship of an ordered pair and its location on the coordinate plane?

         How do I construct a coordinate system, recognize the origin, recognize the x and y axes and identify an ordered pair?