SYMMETRY: Theory, Reality and Art! A GEMS/ALEX Submission Submitted by: Elizabeth Thompson, PhD. Summer, 2008.

Slides:

Advertisements

Similar presentations

To transform something is to change it

Advertisements

Transformations and Tesselations By: Christine Berg Edited By: VTHamilton.

Exploring Tessellations

Student Support Services

Tessellations……… Creating Tiles that Tessellate.

M. C. Escher Facts Created over 448 lithographs, woodcuts and wood engravings and over 2000 drawings and sketches illustrated books, designed.

Learn to recognize, describe, and show transformations.

Translations I can: Vocabulary: Define and identify translations.

Math 213 Professor Mitchell Click Here For Click Here For Translation Click Here For Click Here For Reflection Click Here For Click Here For Rotation Click.

MCC8.G.1, 2, and 3 Translation Reflection Rotation.

Transformations MathScience Innovation Center Betsey Davis.

Tesselations What is a tesselation? It is a design consisting of the same interlocking pattern repeated over and over.

Tessellation Simulation Project

REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections.

This Exploration of Tessellations will guide you through the following: Exploring Tessellations Definition of Tessellation Semi-Regular Tessellations.

The Four Planes of Symmetry Kallia Katsampoxaki-Hodgetts University of Crete 2012.

Theme of the Week Fact or opinion? Wednesday. Word of the Day 38% of all statistics are made up. Niece.

TESSELLATIONS Presentation By Allison Cornish ECA551 Primary Art Education Assignment One. Student No

Chapter 7 Transformations.

Rigid Motions & Symmetry Math 203J 11 November 2011 ( is a cool date!)

SYMMETRY: Math and Art By Rebecca K. Fraker Atlantic Union Teacher Bulletin Atlantic Union Teacher Bulletin June 2012 June 2012.

Unit 5: Geometric Transformations.

Geometry, Patterns and Art

Repeating Figures and Symmetries How can tessellations be made with repeating figures? What four types of symmetry do you look for in repeating figures?

Symmetry Figures are identical upon an operation Reflection Mirror Line of symmetry.

Transformations and Tessellations Edited By: K. Stone.

18.1 Congruence and Similarity p.394 Quick Review Quick Review Objective: to learn how to use translations, rotations, and reflections to transform geometric.

What are transformations? The word "transformation" refers to a movement or change in a geometric shape Introduction to Unit V- Transformations.

Reflection Rotation and Translation. Start with a picture like this..

TESSELATION WEBQUEST! CARINA SAVERINO MATH 409 Begin Teacher Page.

Tessellations This presentation is based on the work of Melissa Hogg and Miranda Hodge.

Create Your Own Tessellation If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then we say that the shape.

Transformations.

2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image.

LESSON 5-1 I can draw reflected images. I can recognize and draw lines of symmetry.

Transformational Geometry

Tessellations By Kiri Bekkers & Katrina Howat. What do my learner’s already know... Yr 9 Declarative Knowledge: Students will know... Procedural Knowledge:

TransformationsTransformations. transformation One to One Mapping Preimage Point  Image Point A change of position or size of a figure. A  A´

Create Your Own Tessellation If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then we say that the shape.

To transform something is to change it. In geometry, there are specific ways to describe how a figure is changed. The transformations you will learn about.

G.5.C Use properties of transformations and their compositions to make connections between mathematics and the real world, such as tessellations.

PROJECT Transformations Chapter 14 beginning on page 570 Student Notes.

Symmetry. What Is Symmetry? Fundamental organizing principle in nature and art Preserves distances, angles, sizes and shapes.

To transform something is to change it

Exploring Tessellations

Transformations and Symmetry

Transformations in Geometry

To transform something is to change it.

Translation Rotation reflection Dilation Pre Image Image Rigid Motions

To transform something is to change it

Reflections & Rotations

9.1 Translations -Transformation: a change in the position, shape, or size of a geometric figure -Preimage: the original figure -Image: the resulting figure.

Tessellations: A Brief Mathematical History.

Tessellations Starting slide….

DRILL If A is in between points B and C and AC is 4x + 12 and AB is 3x – 4 and BC is 57 feet how long is AB? Angles A and B are Supplementary if.

Transformation in Geometry

TRANSFORMATION. TRANSFORMATION Foldable PRIME Original New IN MATH TERMS…. P -> P’

To transform something is to change it

Reflections in Coordinate Plane

To transform something is to change it

Congruence Transformations

Module 1 Topic C – Lesson 14 – Reflections

Transformations.

Is there a TRANSFORMATION in your future?

TRANSFORMATIONS Dianna Ramirez.

Transformations.

Transformations.

Transformations Project

Unit 37 Further Transformations

To transform something is to change it

Presentation transcript:

SYMMETRY: Theory, Reality and Art! A GEMS/ALEX Submission Submitted by: Elizabeth Thompson, PhD. Summer, 2008

Types of Symmetry Rotation Translation Reflection

Rotational Symmetry Illustration: Take an object and rotate it by some degree (90, 45, 180, 26) and you have an example of rotational symmetry) Every rotation has a center and an angle!

Examples of Rotational Symmetry Can you find the center of each object, and approximate the degrees that each object was rotated? (click for each) What other objects would have rotational symmetry?

Translational Symmetry Illustration: Every translation has a distance and a direction. Translations are not rotated or reflected…the shape remains the same size.

Examples of Translational Symmetry The objects simply move from one position to another retaining size and shape.

Reflective Symmetry Illustration: Every reflection has a line of reflection (a mirror line).

Examples of Reflective Symmetry Can you find the line of reflection in each object? (click to see)

Multiple forms of symmetry can be found in one object…can you name the ones found here? The flower has rotational and/or reflective symmetry. The Escher Art has reflective…then it is translated (that makes it a tessellation)

POWERPOINT BREAK TIME FOR PRACTICE (see teacher notes)

PART TWO: Tessellations (Geometric Art) "I never got a pass mark in math... Just imagine -- mathematicians now use my prints to illustrate their books." -- M.C. Escher

Samples of tessellations

How to Tessellate (Slide 1 of 3) (there are many methods…this is just one)

How to Tessellate (Slide 2 of 3)

How to Tessellate (Slide 3 of 3)

Student Samples (repeated) Warning: These are harder than they appear… frustration levels can rise.