The document discusses tessellations, which are patterns formed by shapes that can be arranged without gaps to cover a surface. It provides examples of shapes that can and cannot tessellate, such as squares, triangles and hexagons that tessellate versus shapes with leftover spaces. Students are tasked with exploring tessellations using online software that allows selecting a shape and dragging edges to form new shapes for tessellations.

1. Unit 18 Tessellations

2. 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

3. Shapes are all around us Example 1 A square Floor tiling in a classroom

4. Shapes are all around us Example 2 Shapes can be arranged on unusual ways. Sometimes an unusual shape will tessellate. At the parade square

5. 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 .

6. Can be tessellated How do we know? No gaps between the shapes which form it

7. Have you seen these? Tessellations in walls and pavements

8. Have you seen these? Tessellations in walls and pavements

9. 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.

10. Triangles Squares Hexagons. Some examples

11. This is NOT a tessellation, because... This is NOT a tesselation, because there is space left over. vertex space

12. 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.

13. Task 1 http://www.shodor.org/interactivate/activities/tessellate/index.html User Guide

14. Select one shape, for example, rectangle Click on tessellate

15. You will see this

16. Click on Edit. You will see the shape which forms the tessellation.

17. Now, select Edit Edges . You will see + . Click on it and drag till you get the shape you want.

18. Click on Tessellate. You may change its colors too!

19. Enjoy making your own tessellations!

20. Task 2 Go to desktop  double-click on Fun With Construction We’ll do this together.

21. Enjoy making your own tessellations!

22. References www.numeracysoftware.com http://www.shodor.org/interactivate/activities/tessellate/index.html Software: Fun With Construction