## LETS TESSELLATE SHODOR PDF

Introduced to tessellations; Learned about several types of polygons . Let groups of two or three students complete the worksheet using the computer while you. This lesson allows students to examine tessellations and their geometric properties. . Let the students know what it is they will be doing and learning today. items This is similar to the game show “Let’s Make A Deal”, where you choose one of .. Learn about tessellation of quadrilateral figures when the shape you.

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This lesson allows students to examine tessellations and their geometric properties. This activity and discussions may be used to develop students’ understanding of shodlr and symmetry as well as their ability to analyze patterns and explore the role of mathematics in nature and our culture.

Upon completion of this lesson, students will: Geometry The student demonstrates an understanding of geometric relationships. The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.

The student demonstrates tessfllate conceptual understanding of geometric drawings or constructions.

Geometry The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes. Operations and Algebraic Thinking Analyze patterns and relationships.

Congruence Experiment with transformations in the plane Understand congruence in terms of rigid motions. Geometry Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems.

Geometry Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems.

Data Analysis and Probability Competency Goal 3: The learner will tessellwte geometric figures in the coordinate plane algebraically. Geometry and Measurement Competency Lsts 2: The learner will use geometric and algebraic properties of figures to solve problems and write proofs. The learner will use properties of geometric figures to solve problems. The learner will measure and apply geometric concepts to solve problems. Geometry and Measurement Competency Goal 1: Geometry The student will demonstrate through the mathematical processes an understanding of the connection between the identification of basic attributes and the classification of two-dimensional shapes.

Geometry The student will demonstrate through the mathematical processes an understanding of congruency, spatial relationships, and relationships among the properties of quadrilaterals. Geometry The student will demonstrate through the mathematical processes an understanding of shape, location, and movement within a coordinate system; similarity, complementary, and supplementary angles; and the relationship between line and rotational symmetry.

Geometry The student will demonstrate through the mathematical processes an understanding of proportional reasoning, tessellations, the use of geometric properties to make deductive arguments.

The student will demonstrate through the mathematical processes an understanding of proportional reasoning, ttessellate, the use of geometric properties to make deductive arguments. Examples of noncongruent and congruent figures will be included. Has anyone ever heard of M.

Escher was a famous artist who enjoyed twisting perceptions of reality. He was responsible for works such as Reptiles, Horseman and many more that incorporated the use of tessellations. Let the students know what it is they will be doing and learning today. Say something like this: Today, class, we are going to learn about tellellations.

We are going to use the computers to learn about tessellations, but please do tesseellate turn your computers on until I ask you to. I want to show you a little about this activity first.

Have the students explore which regular polygons tessellate and why. Start them by examining tessellations of regular polygons including number of sides and interior angle measurements by using a data table. Encourage students to determine a pattern among the polygons that they tessellate.

### Interactivate: Tessellate!

Ask the students to predict which regular polygons will and will not tessellate and why. Follow-up by having the students write a concise definition for a regular polygon tessellation. Have them expand this definition to describe a tessellation made from non-regular polygons.

After the students have determined which regular polygons tessellate, discuss the types of symmetry present in tessellations. Have the students build tessellations and identify the types of symmetry present.

### Interactivate: Visual Patterns in Tessellations

Give them a table to record the basic shape used to tile and the types of symmetry present in the basic unit and in the tessellated pattern. Discuss how angle measure, area, and perimeter apply to tessellations. Allow students time to practice their knowledge about tessellations. Have teams of students work together. Instruct one student on the team to create a tessellation. Have that student describe the tessellation to other students and see if the other students can recreate the tessellation without looking.

The students should formalize their terminology and describe the tessellation in terms of angle measure, polygon shape, symmetry, area and perimeter. Lead a discussion about tessellations in the world.

Ask students to identify tessellations that they see in their daily lives and in nature. Discuss the ways that we perceive patterns. Lead a discussion about optical illusions to demonstrate how we perceive patterns.

## Tessellations: Geometry and Symmetry

Also discuss the use of color in tessellations. Suggest that the students change the colors in their tessellations to see what effect that has on how they perceive the pattern. They may want to record their observations in a journal.

Ask the students to use the Tessellation Activity to build tessellations of patterns they see in art and nature. You may also ask students to stretch the regular polygons into the letters of the alphabet or the letters of their name and tessellate the pattern. Have them record which polygon ressellate best used to shape each letter. Also have them record what type of symmetries are present in each tessellation. You may wish to bring the class shodpr together for a discussion of the findings.

Once the students have been allowed to share what they found, summarize the results of the lesson. This lesson can be rearranged in several ways. Here is an example of a shorter version: The lesson can begin by introducing the Tessellation applet to introduce students to the idea of tessellaet and how they developed.

Discuss tessellatr types of symmetry present in tessellations. After these discussions and activity, the students should have practiced their ability to recognize symmetry in plane figures. Students can gain a deeper understanding of other pr tessellte of geometry by exploring tessellations in the Geometry Lesson. The tessellation activity could also be used to explore spatial visualization and pattern recogni tion with the Visual Pattern Lesson.

Abstract This lesson allows students to examine tessellations and their geometric properties. Objectives Upon completion of this lesson, students will: Grade 3 Geometry The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes. Grade 4 Geometry The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.

Grade 5 Tessellatte The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes. Grade 6 Geometry The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes. Grade 7 Geometry The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes.

Grade 8 Geometry The student demonstrates conceptual understanding of similarity, congruence, symmetry, or transformations of shapes. Grade 9 Geometry The student demonstrates an understanding of geometric relationships. Geometry Congruence Experiment with transformations in the plane Understand congruence in terms of rigid motions Third Grade Geometry Reason with shapes and zhodor attributes.

Grades Geometry Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems Grades Geometry Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical teszellate about geometric relationships Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems.

Students must be able to: Recognize regular polygons, such as triangles, rectangles and hexagons Understand the difference between an edge and a corner Technological: Key Terms polygon A closed plane figure formed by three or more line segments that do not cross over each other tessellation A tessellation is a repeated geometric design that covers a plane without gaps or overlaps.

Alternate Outline This lesson can be rearranged in several ways. Suggested Follow-Up After these discussions and lts, the students should have practiced their ability to recognize symmetry in plane figures.

Grades Geometry Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems Grades Geometry Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric shpdor Apply transformations and use symmetry to analyze mathematical situations Use visualization, spatial reasoning, and geometric modeling to solve problems Geometry Data Analysis and Probability Competency Goal 3: