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Tessellate!. Math Standard 4.17c. Introductory Questions. Take a look at this picture. Can you identify the original drawing? How do you think this was created?. Transformations. The design was created by transforming a polygon into a new design. There are three types of transformations:
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Tessellate! Math Standard 4.17c
Introductory Questions • Take a look at this picture. • Can you identify the original drawing? • How do you think this was created?
Transformations • The design was created by transforming a polygon into a new design. • There are three types of transformations: • Translation (slide) • Reflection (flip) • Rotation (turn) • Let’s look at each one!
Translation • A translation (slide) is a transformation in which an image is formed by moving every point on a figure the same distance in the same direction. starting figure
Reflection • A reflection (flip) is a transformation in which a figure is flipped over a line called the line of reflection. All corresponding points in the image and original image are equally distant from the line of reflection. Line of reflection
Rotation • A rotation (turn) is a transformation in which an image is formed by turning the original image about a point.
Practice • How has this image been transformed? • Translation (slide) • Reflection (flip) • Rotation (turn) • Answer: Rotation (turn)
Practice • How has this image been transformed? • Translation (slide) • Reflection (flip) • Rotation (turn) • Answer: Reflection (flip) • Where is the line of reflection?
Practice • How has this image been transformed? • Translation (slide) • Reflection (flip) • Rotation (turn) • Answer: Translation (slide)
Putting It Together • Now we are going to practice manipulating an image and repeating it over and over to create our own tessellation. • http://www.shodor.org/interactivate/activities/tessellate/
Computer Time • Now that you know about transforming figures and tessellations, you can visit “Tessellation Town” to practice what you have learned. • Logon to Mrs. Ashley’s portaportal (aashley) and go to fourth grade-Tessellation Town.
Resources • Mrs. Stone’s Fifth Grade Math Class tessellation projects • Tessellate! http://www.shodor.org/interactivate/activities/tessellate/ • Tessellation Town http://www.mathcats.com/explore/tessellationtown.html