1. Tessellation Simulation Project
By: Leonora Spyros
Math409
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2. Main Menu Tessellations Rotation Translation Reflection Assessment
Teacher’s Page
Click on one of the pictures to learn more!!

3. Regular Tessellations Semi-Regular Tessellations
A tessellation is another name for a tiling
Tessellations are made up of regular polygons that are repeated over and over again to cover an entire plane
They cannot have any gaps or overlaps
Every vertex of a tessellation must be the same, and the angles of the vertices must add up to 360 degrees
Regular Tessellations
Semi-Regular Tessellations
Click on one of the two types of tessellations to learn more!
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4. Regular Tessellations
The tessellation must tile a floor completely with no gaps and no overlaps
The tiles must all be the same regular polygon
All the vertex angles must look the same
There are 3 examples of regular tessellations
Triangles
Squares
Hexagons
Click on one of the three shapes to learn more!
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5. Equilateral Triangles
The interior angle of each equilateral triangle is 60 degrees
The vertex angles are = 360 degrees
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6. Squares The interior angle of a square is 90 degrees
The vertex angels are = 360 degrees
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7. Hexagons The interior angle of each hexagon is 120 degrees
The vertex angles are = 360 degrees
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8. Semi-Regular Tessellations
A semi-regular tessellation is made up by using two or more different regular polygons
The arrangement of polygons at each vertex must still be the same and the vertices must add up to 360 degrees
Which of the following are examples of semi-regular tessellations?
Click on the ones that you think are the answer to find out!
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9. Yes! You are right!
This is a semi-regular tessellation because it does not have any gaps or overlaps and all of the vertices are the same!
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10. Yes! You are right!
This is a semi-regular tessellation because it does not have any gaps or overlaps and all of the vertices are the same!
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11. Sorry! Wrong answer
This is not a semi-regular tessellation because it does not follow the rule that all the vertices must have the same configuration
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12. Translation (Slide) A translation is another name for a slide
If you move an object from one area to another on a plane without rotating or reflecting it, it is a translation
Every point of the object must move the same distance in the same direction
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Practice!
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13. Rotation (Turn) Rotate is another name for turn
Every rotation has a center and an angle
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Practice!
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14. Reflection (Flip) Another name for reflection is a flip
The reflected figure is always the same size, it just faces in the other direction
To reflect an object means to produce its mirror image
Every reflection has a mirror line
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Practice!
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15. Quiz
Directions: Write one to two sentences for each of the following questions.
Why are the following NOT regular tessellations? 2. 1.
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16. Create Your Own Tessellation!!
Directions: Create your own unique tessellation that includes reflections, rotations, and translations by clicking on the button below. Mark a few places where these things occur in your tessellation. Once you have completed it, print it out and hand it in.
Click here to create
your own tessellation!
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17. Teacher’s Page
Lesson Objective: This lesson is geared towards students in the 5th grade. It is designed to help student understand the concept and the process of creating tessellations. The students will learn what a tessellation is, and what the rules for creating a tessellation are. They will also learn what a reflection, rotation, and translation is. They will then use all of the skills that they learned to be assessed by creating their own unique tessellation. Also included in the assessment is a quiz. The rubric for these assessments will be based on how well they answer the quiz questions, and how well they do on creating their own tessellation and identifying where it reflects, rotates, and translates.
NCTM standards:
•recognize, name, build, draw, compare, and sort two and three-dimensional shapes
•describe attributes and parts of two and three-dimensional shapes
•identify, compare, and analyze attributes of two and three-dimensional shapes and develop vocabulary to describe the attributes
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18. Teacher’s Page Lesson Plan – click to see the lesson plan
CT Standards:
Grade 5 #1- The students are able to draw and classify 2-dimensional shapes and geometric vocabulary
Grade 5 #6- The students will be able to relate geometric shapes to nature and the real world
Lesson Plan – click to see the lesson plan
References on next page

19. References http://www.coolmath.com/tesspag1.htm
Virtual Manipulative websites
Google images
CT standards
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