Translation TessellationsFor simple translation tessellations, polygons should have opposite sides that are parallel and congruent – squares, hexagons, parallelograms.

Example: Translation TessellationYou can create more complex designs starting with

square tessellations and making changes on both pairs of sides.

Glide Reflection Tessellation

For glide reflection tessellations, polygons should have opposite sides that are parallel and congruent – squares, hexagons, parallelograms.

Tessellation created by RotationAdjacent sides must be congruent – squares, equilateral

triangles, regular hexagons, rhombi

Midpoint Rotations Triangles, Squares, and Quadrilaterals

Note: More than one side may be altered for more challenging designs. Coloring one side of the pattern will help prevent accidental flipping during tracing.

Part 1 of Project: 4 Types of Tessellations

You are to create 4 different tessellation templates using the 4 different transformations.

You must use at least one shape other than a square to begin your tessellation.

These tessellations can be created using graph paper, white paper, notebook paper, or scratch paper.

Part 2 of Project: Final Tessellation You must create a 5th Tessellation first using paper

and then transferring it onto cardstock. Once you have your final copy of your tessellation

you will be given a piece of white paper to fill with your tessellation. Be sure that you are using the correct transformation

while covering your paper. You must create a design on each individual

tessellation and color them

Criteria Excellent Good Okay Not doneDegree of Difficulty

The difficulty and intricacy of the template you made and the

difficulty of the type of transformation you choose.

10 9 82 cut-outs

7 6 5 42 or 1 cut-outs

3 2 11cut-out

0

Complexity of DecorationThe detail, coloring and creativity

of your final product.10 9 8 7 6 5 4 3 2 1 0

AppearanceFigured must be centered, no stray marks showing, no blank

space, and final product should be mounted on construction paper.

10 9 8 7 6 5 4 3 2 1 0

Proper Transformation UsedA correct use of translation, glide reflection, rotation or mid-point

rotation must be used.

10 9 8 7 6 5 4 3 2 1 0

Followed DirectionsOn the front of you final product

you must give your artwork a title, your name and type of

tessellation.

10 9 8 7 6 5 4 3 2 1 0

Part 3 of Project: EssayYou are to write a 1-2 page essay on the Mathematical art of M.C Escher. Your essay should include

His background. Who is M.C. Escher? Where he was born? What was his education? Etc. Escher’s contributions to art and mathematics. How does he integrate Mathematics with art? Also give specific examples of his work. What is his nickname? and any additional interesting facts about him.

The paper should be typed, 12 point font, Times New Roman, double spaced, and 1 inch margins. In addition to the 1-2 pages you are to have a reference page of the websites, or books you used to write your essay. Spelling and grammar count!

Final Grading Rubric4 Tessellations 5 points each

Final Tessellation 50 points

Paper on M.C. Escher 30 points

Total 100 points**you may receive an extra 5 points (up to 10 points) for every extra

tessellation design you create from your first 4 tessellations**

Tessellation Project Your project is due on Thursday, April 7th

by the end of class. On the due date, you must turn in your 4

tessellation templates, your completed tessellation design, your template (attached to the back of your tessellation design), and your 1-2 page paper on M.C. Escher.

Use your class time wisely!!!!!