Students describe and analyze shapes by examining their sides and angles. Students investigate, describe and reason about decomposing and combining shapes to make other shapes. Through building, drawing and analyzing two- and three-dimensional shapes, students develop a foundation for understanding area, volume, congruence, similarity, and symmetry.


Understandings, Skills and Guiding Questions

Students will understand that …

Shapes can be described by their attributes and used to represent part/whole relationships.


Guiding questions:

  • How can we describe geometric figures?

  • Is a half always the same size and shape?

  • When can I break things into smaller parts to help solve problems?


Students will be skilled at:

  • recognizing and drawing shapes having specified attributes, such as a given number of angles or a given number of equal faces. identifying triangles, quadrilaterals, pentagons, hexagons, and cubes.

  • partitioning a rectangle into rows and columns of same-size squares and counting to find the total number of them.

  • partitioning circles and rectangles into two, three, or four equal shares.

  • describing shares using the works halves, thirds, half of, a third of, etc.

  • describing wholes as two halves, three thirds, four fourths.

Real Life Application

  • Fairness in sharing depends on equal quantities, such as sharing a piece of cake, candy bar, or payment for a chore.

  • Shapes are used to communicate how people view their environment.

  • Geometry provides a system to describe, organize, and represent the world around us.



  • equal                               

  • shares

  • shapes

  • attributes

  • angles

  • equal

  • faces

  • triangle

  • quadrilaterals

  • pentagon

  • hexagon

  • cube

  • rows

  • columns

  • half

  • thirds

  • quarters

  • whole

  • fourths

  • relationships


How can I help at home?






Simple Games:

  • Finding real life examples of shapes around them.  Possibly even taking pictures.

  • Building structures using recycled materials: cereal boxes, soda cans, used up toilet and/or paper towel rolls, etc.  Then discussing the shapes and function of each shape on the structure.



  • Montessori Geometry

  • Geometry 4 Kids

  • Jungle Fractions

  • Pizza Fractions