Shape and space

Central idea:

Objects and figures have identifiable characteristics and properties that allow us to make sense of and interact with our world.

Key Concepts:

Form, Function

Lines of inquiry:

  • The language of shape and space.
  • How we use different tools we use to investigate shape and space.
  • How we manipulate shape and space.
Teacher questions:
  • What language do we use to describe shape and space? (form)
  • How do we use different tools to investigate shape and space? (function)
  • How do we manipulate shape and space? (function)
Learning outcomes:
  • LO1. Understand the properties of regular and irregular polyhedra. (P = Classify regular and irregular polyhedra using properties; HP =  Classify regular and irregular polyhedra, prisms and pyramids using properties)
  • LO2. Identify and use scale and ratios to enlarge and reduce shapes. (P = scale drawing of a tennis court HP = 3-D or more complex shape – eg. basketball court)
  • LO3. Apply the language and notation of bearing to describe direction and position. (P = 8 cardinal points – eg. N, NE, multiple positions; HP = use numerical bearing, multiple positions)
Learning experiences:

Click on the links below for our shape and space units:

Benchmarks:

  • MAT.MS.5.1: 1.  investigate how 2D representations of 3D objects can be used to visualize and solve problems.
  • MAT.MS.5.3: 3.  analyse, describe, classify and visualize 2D (including triangles and quadrilaterals) and 3D shapes, using geometric vocabulary.  Identifying Objects  Polygons  Triangles  Features of Pyramids
  • MAT.MS.5.4: 4.  use geometric vocabulary when describing shape and space in mathematical situations and beyond.
  • MAT.MS.5.5: 5.  identify the properties of regular and irregular polyhedra.
  • MAT.MS.5.6: 6.  use 2D representations of 3D objects to visualize and solve problems, for example using drawings or models.
  • MAT.MS.5.12: 12.  create and model how a 2D net converts into a 3D shape and vice versa.

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