Unit 3 Review Day 1

Agenda1. Quiz 2. Warm-up3. Homework Check4. Project 5. Homework

1. m< 1 + m<2 = 180. Which lines are parallel and why?

2. If a ll c, b ⊥ a,a. what is m<8?b. what is m<2?

Bonus: Find m<1.

Quiz – When finished complete:

Project - I Wanna be like M.C. Escher

Tessellation ProjectToday we will discuss the requirements and expectations for your Tessellation projects and you will receive a brief introduction to the different types of tessellations. This is an individual project.

Tessellation Project Maurits Cornelis Escher (1898 – 1972) was a

Dutch artist famous for his repetitive, interlocking pattern. His works look like paintings but were done by woodcarving and lithographs.

Escher’s designs are made from variations on tiling patterns called tessellations. A floor covered by square tiles is an example of a tessellation of squares.

Tessellations & Transformations

Tessellations can be modified by using transformations. As you know,

transformations are movements of geometric figures. One transformation, commonly used to create tessellations is

a slide, or translation, of a figure.

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.

Depending how you decide to color your tessellation, a very simple design can have a very creative result.

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

Example

By reflecting and gliding over more than one side, you can create a more complex tessellation.

Adding coloring and features will enhance the artwork.

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.

Example: Rotational Tessellation

Suggestions READ THE Project Sheet first before trying your

tessellation. There is a lot of good information in the packet that will help you in deciding on which type of tessellation to do and in creating your tessellation.

Research M.C. Escher A template that is approximately 2 inches by 2

inches will work well to create an 8 ½ by 11 inch tessellation.

Suggestions Try out several designs, by cutting and taping paper

together until you find something you like. When you have decided on a design, create your

template on a stiff material – heavy cardstock or a file folder seem to work well for creating a sturdy template that can be traced over and over.

Be creative. Your design should not look like any of the designs in the packet or in this presentation.

Remember: Finding a design online and copying it is plagiarism.

Tessellation Project Your project is due on Thursday, October 18

at the beginning of class. Grading criteria is in your packet.

On the due date, you must turn in your completed tessellation, your template (attached to the back of your tessellation), your summary paragraph (for each Design), and your assigned packet.

Do NOT wait until the last minute!!!!!

Find the missing angle:

Extra Review/Extra Practice

Homework Review Sheet

AND Review sheet of unit 2 – Must complete in order to take retake of unit 2 in Class on Thursday.