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Elementary School | Mathematics | Geometry

Geometry provides important methods for reasoning and solving problems with points, lines, planes and space. The word “geometry” comes from Greek words meaning “measurement of the Earth.” While we use modern technology and employ a wider variety of mathematical tools today, we still study geometry to understand the shapes and dimensions of our world. The applications of geometry are widespread in construction, engineering, architecture, mapmaking and art. Historically, geometry is a way to develop skill in forming convincing arguments and proofs. This goal of developing a means of argument and validation remains an important part of our reasons for studying geometry today.

Learning Objectives Grades K-2

Demonstrate and apply geometric concepts involving points, lines, planes and space:

  • Identify related two- and three-dimensional shapes including circle-sphere, square-cube, triangle-pyramid, rectangle-rectangular prism and their basic properties.
  • Draw two-dimensional shapes.

Identify, describe, classify and compare relationships using points, lines, planes and solids:

  • Identify and describe characteristics, similarities and differences of geometric shapes.
  • Sort, classify and compare familiar shapes.
  • Identify lines of symmetry in simple figures and construct symmetrical figures using various concrete materials.

Construct convincing arguments and proofs to solve problems:

  • Draw logical conclusions and communicate reasoning about simple geometric figures and patterns using concrete materials, diagrams and contemporary technology.

Learning Objectives Grades 3-5

Demonstrate and apply geometric concepts involving points, lines, planes and space:

  • Build physical models of two- and three-dimensional shapes.
  • Identify and describe how geometric figures are used in practical settings (e.g., construction, art, advertising).
  • Describe and draw representations of geometric relationships, patterns, symmetries, and designs in two- and three-dimensions with and without technology.

Identify, describe, classify and compare relationships using points, lines, planes and solids:

  • Compare geometric figures and determine their properties including parallel, perpendicular, similar, congruent and line symmetry.

Construct convincing arguments and proofs to solve problems:

  • Formulate logical arguments about geometric figures and patterns and communicate reasoning.

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