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Unit 18 - Tessellations

Unit 18 - Tessellations






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Unit 18 - Tessellations Unit 18 - Tessellations Presentation Transcript

  • Unit 18 Tessellations
  • Lesson Objectives
    • At the end of this lesson, pupils will be able to
    • identify the shape used in a tessellation
    • find out whether a shape can tessellate or not
    • tessellate a given shape
  • Shapes are all around us
    • Example 1
    A square Floor tiling in a classroom
  • Shapes are all around us
    • Example 2
    Shapes can be arranged on unusual ways. Sometimes an unusual shape will tessellate. At the parade square
  • What is a tessellation?
    • If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then we say that the shape will tessellate.
    • The pattern that is formed is called a tessellation .
  • Can be tessellated
    • How do we know?
    No gaps between the shapes which form it
  • Have you seen these?
    • Tessellations in walls and pavements
  • Have you seen these?
    • Tessellations in walls and pavements
  • What is common among the tessellation?
    • The tessellations are made with only one shape .
    • There are no gaps in the tessellations.
    • Only one face of a shape is used to make the tessellations.
  • Triangles Squares Hexagons. Some examples
  • This is NOT a tessellation, because... This is NOT a tesselation, because there is space left over. vertex space
  • Try these yourself
    • Task 1
    • To explore constructing a tessellation using a drawing tool.
    • Task 2
    • To construct a tessellation using the isometric dot paper.
  • Task 1
    • http://www.shodor.org/interactivate/activities/tessellate/index.html
    • User Guide
    • Select one shape, for example, rectangle
    • Click on tessellate
    • You will see this
    • Click on Edit. You will see the shape which forms the tessellation.
    • Now, select Edit Edges . You will see + .
    • Click on it and drag till you get the shape you want.
    • Click on Tessellate.
    You may change its colors too!
  • Enjoy making your own tessellations!
  • Task 2
    • Go to desktop  double-click on Fun With Construction
    • We’ll do this together.
  • Enjoy making your own tessellations!
  • References
    • www.numeracysoftware.com
    • http://www.shodor.org/interactivate/activities/tessellate/index.html
    • Software: Fun With Construction