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Lesson Presentation

Lesson Presentation. Learn to create tessellations. Vocabulary. tessellation regular tessellation. Fascinating designs can be made by repeating a figure or group of figures. These designs are often used in art and architecture.

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Lesson Presentation

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  1. Lesson Presentation

  2. Learn to create tessellations.

  3. Vocabulary tessellation regular tessellation

  4. Fascinating designs can be made by repeating a figure or group of figures. These designs are often used in art and architecture. A repeating pattern of plane figures that completely covers a plane with no gaps or overlaps is a tessellation.

  5. In a regular tessellation, a regular polygon is repeated to fill a plane. The angles at each vertex add to 360°,so exactly three regular tessellations exist.

  6. Additional Example 1: Creating a Tessellation Create a tessellation with quadrilateral EFGH. There must be a copy of each angle of quadrilateral EFGH at every vertex.

  7. J K L I Check It Out: Example 1 Create a tessellation with quadrilateral IJKL. There must be a copy of each angle of quadrilateral IJKL at every vertex.

  8. Additional Example 2: Creating a Tessellation by Transforming a Polygon Use rotations to create a tessellation with the quadrilateral given below. Step 1: Find the midpoint of a side. Step 2: Make a new edge for half of the side. Step 3: Rotate the new edge around the midpoint to form the edge of the other half of the side. Step 4: Repeat with the other sides.

  9. Additional Example 2 Continued Step 5: Use the figure to make a tessellation.

  10. Check It Out: Example 2 Use rotations to create a tessellation with the quadrilateral given below. Step 1: Find the midpoint of a side. Step 2: Make a new edge for half of the side. Step 3: Rotate the new edge around the midpoint to form the edge of the other half of the side. Step 4: Repeat with the other sides.

  11. Check It Out: Example 2 Continued Step 5: Use the figure to make a tessellation.

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