A tessellation (or tiling) is a covering of a plane region by one or more congruent shapes.  The following diagrams show how to use parallelograms to create tessellations.  For this project, you will be asked to create your own 4x4 tessellation.  Here is a website to aid you.

To create a tessellation, cut a parallelogram (in this case, I used a square) out of paper.  You will use this parallelogram to make the shape that you will then trace to create your tessellation.

 Step 3
 Step 4

Now, following the steps above, create a curve that connects two of the vertices (Step 1).  Copy this curve onto tracing paper and then place the vertices onto the opposite side of the parallelogram.  Now trace the curve onto your working paper (Step 2).  Do the same for the other two sides of the parallelogram (Steps 3 and 4).  Now, copy this figure a number of times onto other tessellated parallelograms to create a pattern like the one shown below.  Color and decorate like crazy!!

The expectations of the project are:

1.      Create an original tessellation design based on a “tessellate-able” polygon.

2.     Use your design to create a 4 row x 4 column tessellation.

3.     Be creative!  Think about other polygons (besides parallelograms) that might tessellate…if you can find one, and would rather use that for your design, feel free! Use Lessons 8.4 – 8.8 in the book for ideas, techniques, etc.

Evaluation of the project:

Your completed tessellation is worth 50 points and will be evaluated on the following criteria:

1.      Accuracy – all lines, curves, etc. should be carefully drawn or traced (once the original tessellation design has been made).

2.     Presentation – the tessellation should be carefully presented on your chosen background.

3.     Creativity – the original tessellation design and any coloring, shading, etc. should be unique and show some planning and effort.

4.     Neatness – attention to the look and neatness of the tessellation is important.

5.     Following Directions – the project must satisfy the above expectations and be completed on time.  Your tessellation is due March 27th (Yellow/Blue classes) or March 28th (Red Class).

If you need help coming up with an idea, here is a great website for you to check out.