Grade 6 Mathematics - Geometrical Thinking

Explore the Geometrical Thinking strand of the Grade 6 Mathematics curriculum. Develop skills in understanding and applying geometrical concepts, transformations, and spatial reasoning.

Grade Six Expectations for Geometrical Thinking

Essential Learning Outcome 1: Explore and Analyse Geometric Shapes and Relationships

  • Use language and gestures that describe shape, objects, and space orally and in writing
  • Describe a picture or object in real world contexts or an object undergoing a transformation
  • Identify and categorize various types of quadrilaterals based on their characteristics
  • Compile comprehensive lists of geometric properties for each type of quadrilateral

Specific Curriculum Outcomes

By the end of Grade Six, the learner will be expected to:

Inclusive Assessment Strategies

Assessment strategies that provide information about learning:

  • Observations: Geometric construction and transformation processes
  • Conversations: Spatial reasoning and geometric property discussions
  • Products: Geometric drawings, tessellations, and 3D models

Sample Assessment Tools:

  • Geometric construction rubrics
  • Angle measurement accuracy checks
  • Transformation portfolio assessments
  • Tessellation design projects

Inclusive Learning Strategies

Additional Resources and Materials

Manipulatives

  • Geometric shapes and pattern blocks
  • Protractors and angle measurers
  • Rulers and straightedges
  • Compasses for circle construction
  • 3D geometric solids and nets
  • Tangrams and tessellation materials
  • Coordinate grid boards and markers
  • Transformation mirrors and tracing paper

Digital Resources

  • Virtual geometry construction tools (GeoGebra)
  • Interactive angle measurement activities
  • 3D shape exploration software
  • Transformation and tessellation games
  • Educational videos on geometric concepts
  • Online coordinate plane activities
  • Virtual protractor and ruler tools

Recommended Reading

  • "Geometry and Spatial Sense" by Catherine Twomey Fosnot
  • "Teaching Geometry According to the Common Core Standards" by Laurie Boswell
  • "Developing Geometric Reasoning in Grades K-8" by Douglas Clements
  • "Transformational Geometry" by Richard Brown