INVESTIGATING TESSELLATIONS

1. Tessellations in Art

1.1. Look at these websites about creating tessellations

1.2. See if you can follow the instructions to create your own tessellations

1.3. Photograph them and paste them in your worksheet

1.4. http://bluesimplex.com/111/

1.5. http://juliannakunstler.com/art1_tessellations.html#.VFlOapOG-UR

2. Famous People

2.1. Research the following famous people

2.2. M.C. Escher

2.3. Marjorie Rice

2.4. Make some notes in your worksheet about their connection to tessellations

3. Tessellations in the world around us

3.1. Think about how tessellations are used to decorate places

3.2. Look at these examples in Islamic Art

3.3. http://www.thegrid.org.uk/learning/maths/ks1-2/framework/investigations/shapes/islamic.shtml

3.4. http://www.vam.ac.uk/content/articles/t/teachers-resource-maths-and-islamic-art-and-design/

3.5. Make some notes on your worksheet on what you learnt

4. The Mathematics behind Tessellations

4.1. Look at these pages on the mathematics behind tessellations

4.2. http://mathandmultimedia.com/2010/03/05/tessellation-mathematics-of-tiling/

4.3. http://www.mathsinthecity.com/sites/mathematics-tiling

4.4. Make some notes on your worksheet on what you learnt

5. Reflection

5.1. http://www.mathsisfun.com/geometry/reflection.html

6. Tessellation Creator

6.1. Investigate which regular polygons tessellate perfectly

6.2. Investigate which combinations of polygons tessellate

6.3. You can rotate and translate the shapes, as well as use different colours

6.4. Make screenshots of your designs and paste them in your worksheet

6.5. http://illuminations.nctm.org/Activity.aspx?id=3533

7. Let's Tessellate!

7.1. Create some fun tessellations

7.2. Make screenshots of your designs and paste them in your worksheet

7.3. http://www.pbs.org/parents/education/math/games/first-second-grade/tessellation/

8. The basics

8.1. What is a polygon?

8.1.1. What is a regular polygon?

8.2. What are vertices?

8.2.1. How many sides and vertices do these shapes have?

8.2.1.1. Triangle

8.2.1.2. Square

8.2.1.3. Pentagon

8.2.1.4. Hexagon

8.2.1.5. Circle

8.3. How big is the size of each angle in these regular polygons?

8.3.1. Triangle

8.3.2. Square

8.3.3. Pentagon

8.3.4. Hexagon

8.4. Transformations

8.4.1. Rotation

8.4.1.1. http://www.mathsisfun.com/geometry/rotation.html

8.4.2. Translation

8.4.2.1. http://www.mathsisfun.com/geometry/translation.html