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# Unit 18 - Tessellations

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### Unit 18 - Tessellations

1. 1. Unit 18 Tessellations
2. 2. Lesson Objectives <ul><li>At the end of this lesson, pupils will be able to </li></ul><ul><li>identify the shape used in a tessellation </li></ul><ul><li>find out whether a shape can tessellate or not </li></ul><ul><li>tessellate a given shape </li></ul>
3. 3. Shapes are all around us <ul><li>Example 1 </li></ul>A square Floor tiling in a classroom
4. 4. Shapes are all around us <ul><li>Example 2 </li></ul>Shapes can be arranged on unusual ways. Sometimes an unusual shape will tessellate. At the parade square
5. 5. What is a tessellation? <ul><li>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. </li></ul><ul><li>The pattern that is formed is called a tessellation . </li></ul>
6. 6. Can be tessellated <ul><li>How do we know? </li></ul>No gaps between the shapes which form it
7. 7. Have you seen these? <ul><li>Tessellations in walls and pavements </li></ul>
8. 8. Have you seen these? <ul><li>Tessellations in walls and pavements </li></ul>
9. 9. What is common among the tessellation? <ul><li>The tessellations are made with only one shape . </li></ul><ul><li>There are no gaps in the tessellations. </li></ul><ul><li>Only one face of a shape is used to make the tessellations. </li></ul>
10. 10. Triangles Squares Hexagons. Some examples
11. 11. This is NOT a tessellation, because... This is NOT a tesselation, because there is space left over. vertex space
12. 12. Try these yourself <ul><li>Task 1 </li></ul><ul><li>To explore constructing a tessellation using a drawing tool. </li></ul><ul><li>Task 2 </li></ul><ul><li>To construct a tessellation using the isometric dot paper. </li></ul>
13. 13. Task 1 <ul><li>http://www.shodor.org/interactivate/activities/tessellate/index.html </li></ul><ul><li>User Guide </li></ul>
14. 14. <ul><li>Select one shape, for example, rectangle </li></ul><ul><li>Click on tessellate </li></ul>
15. 15. <ul><li>You will see this </li></ul>
16. 16. <ul><li>Click on Edit. You will see the shape which forms the tessellation. </li></ul>
17. 17. <ul><li>Now, select Edit Edges . You will see + . </li></ul><ul><li>Click on it and drag till you get the shape you want. </li></ul>
18. 18. <ul><li>Click on Tessellate. </li></ul>You may change its colors too!
19. 19. Enjoy making your own tessellations!
20. 20. Task 2 <ul><li>Go to desktop  double-click on Fun With Construction </li></ul><ul><li>We’ll do this together. </li></ul>
21. 21. Enjoy making your own tessellations!
22. 22. References <ul><li>www.numeracysoftware.com </li></ul><ul><li>http://www.shodor.org/interactivate/activities/tessellate/index.html </li></ul><ul><li>Software: Fun With Construction </li></ul>