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

2. Example: Translation Tessellation You can create more complex designs starting with square tessellations and making changes on both pairs of sides.

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

4. Tessellation created by Rotation Adjacent sides must be congruent – squares, equilateral triangles, regular hexagons, rhombi

5. 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.

6. 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.

7. Part 2 of Project: Final Tessellation  You must create a 5 th 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

8. CriteriaExcellentGoodOkayNot done Degree of Difficulty The difficulty and intricacy of the template you made and the difficulty of the type of transformation you choose. 10 9 8 2 cut-outs 7 6 5 4 2 or 1 cut-outs 3 2 1 1cut-out 0 Complexity of Decoration The detail, coloring and creativity of your final product. 10 9 87 6 5 43 2 10 Appearance Figured must be centered, no stray marks showing, no blank space, and final product should be mounted on construction paper. 10 9 87 6 5 43 2 10 Proper Transformation Used A correct use of translation, glide reflection, rotation or mid-point rotation must be used. 10 9 87 6 5 43 2 10 Followed Directions On the front of you final product you must give your artwork a title, your name and type of tessellation. 10 9 87 6 5 43 2 10

9. Part 3 of Project: Essay You 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!

10. Final Grading Rubric 4 Tessellations 5 points each Final Tessellation50 points Paper on M.C. Escher30 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**

11. Tessellation Project  Your project is due on Thursday, April 7 th 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!!!!!