Translation Tessellations For simple translation tessellations, polygons should have opposite sides...
-
Upload
dwight-stevenson -
Category
Documents
-
view
213 -
download
0
Transcript of Translation Tessellations For simple translation tessellations, polygons should have opposite sides...
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!!!!!