Tessellations. A tessellation is a repeating pattern of polygons that covers a plane with no gaps or overlaps. What transformations do you see?
|
|
|
- Clement Howard
- 6 years ago
- Views:
Transcription
1 Tessellations A tessellation is a repeating pattern of polygons that covers a plane with no gaps or overlaps. What transformations do you see? Typically the shapes making up a tessellation are polygons or similar regular shapes.
2 Tessellations can be formed from more than one shape. Tessellations can be formed from irregular shapes, too.
3 Tessellation Project 2016 Real Life Tessellations M.C. Escher Maurits Cornelis Escher ( ), a Dutch artist, created unique works of art that explore and exhibit many mathematical ideas. He used translations, reflections, rotations, and glide reflections in many of his works.
4 Tessellation Project 2016
5 PROJECT: PART 1 Honors: You will construct one tessellation template for all four of the following shapes. CP: You will construct one tessellation template for three of the following shapes. 1. square 2. equilateral triangle 3. hexagon 4. rectangle PART 1 is due Friday, February 19, It will count as one quiz grade. PROJECT: PART 2 You will cover an 11 by 17 piece of paper with tessellations. You can use one of the templates that you turned in from Part 1 or a new one that you create. PART 2 is due Friday, February 26, It will count as one test grade.
6 RUBRIC Template (on cardstock) turned in with project Template approved by teacher (by Tuesday, 02/24/15) In class participation (February 18 20) Neatness Complexity Accuracy Colorful TOTAL 10 points 10 points 15 points 20 points 10 points 20 points 15 points 100 points DEDUCTIONS will occur for 1) white areas and 2) lateness (10 points/day). BONUS points will be awarded for 1) difficulty, 2) special creativity and 3) tessellating a 14 by 22 posterboard. So how do we start making tessellations? Translation Tessellation (EASY) a square. 2. Draw a on one side of the square. 3. Cut the out & translate it across to the opposite side of the square. Secure with tape...no OVERLAPPING!
7 Translation Tessellation (HARD) a square. 2. Draw a on one side of the square, translate it to the other side, and secure. 3. Draw another on the adjacent side of the square, translate it to the opposite side, and secure. Glide Reflection Tessellation a square. 2. Draw a on one side of the square. 3. Cut the piece out and translate it across to the opposite side of the square. Reflect (flip) the cut piece. 4. Secure the piece with tape to the opposite side of the square. **This pattern needs to be reflected as it is traced.
8 Rotation Tessellation a square. 2. Draw a on one side of the square. 3. Cut the piece out and rotate (turn) it on an end point until it lies evenly with the adjacent side of the square. 4. Secure the piece with tape to the adjacent side of the square. **This pattern needs to be rotated as it is traced. Translation Tessellation with Rectangles a rectangle. Draw a and cut it out. 2. Translate it to the opposite side and secure. 3. Draw a second and cut. Translate to the opposite side and secure. 4. Add colors and s.
9 Rotation Tessellation with Triangles a triangle. Draw a and cut it out. 2. Rotate it to another side and secure. 3. This pattern needs to be rotated as it is traced. 4. Add colors and s. Translation Tessellation with Hexagons a hexagon. Draw a and cut it out. Translate it to the opposite side and secure. 2. Repeat 3. Repeat Step #1 Step #1 from another from side (optional). another side. (optional) 4. Add colors and s.
10 Rotation Tessellation with Hexagons a hexagon. Draw a and cut it out. 2. Rotate it to another side and secure. 3. Repeat Steps 1 & 2 as desired. 4. This pattern needs to be rotated as it is traced.
Lesson 10. Unit 3. Creating Designs. Transformational Designs. Reflection
Lesson 10 Transformational Designs Creating Designs M.C. Escher was an artist that made remarkable pieces of art using geometric transformations. He was first inspired by the patterns in mosaic tiles.
TESSELLATION PROJECT DIRECTIONS
TESSELLATION PROJECT DIRECTIONS You are to create a tessellation portfolio. In addition to your portfolio, you will be making your own tessellation masterpiece. Your tessellation will be created based
TESSELLATION PROJECT DIRECTIONS
TESSELLATION PROJECT DIRECTIONS You are to create your own tessellation masterpiece. Your tessellation will be created based on specific criteria. You MUST follow the guidelines given in order to receive
Pattern tessellates the plane Template with modifications turned in Appearance and Neatness Creativity/Originality/Difficulty
Name: Date: Hour: A tessellation is a repeated polygon and/or combinations of polygons on a two dimensional plane. Each tessellated tile fits perfectly next to its adjacent twin. A true tessellation could
Camden County HS Honors Math II Summer Tessellation Project 2018
Camden County HS Honors Math II Summer Tessellation Project 2018 Maurits Cornelis Escher, born in Leeuwarden, Holland in 1898 created unique and fascinating works or art that explore and exhibit an array
Name. Criteria for grading. Total Points Earned. What to do to Create your own Tessellation
What to do to Create your own Tessellation Name 1. Begin by creating a template using at least 1 of the nibbling methods. You may start with any size rectangular piece of cardstock. Use tape to assemble
DATE PERIOD. Lesson Reading Guide
NAME DATE PERIOD Lesson Reading Guide Get Ready for the Lesson Read the introduction at the top of page 316 in your textbook. Write your answers below. 1. Predict the number of triangles and the sum of
Creating Escher-Style Tessellations
Creating Escher-Style Tessellations Focus on After this lesson, you will be able to... create tessellations from combinations of regular and irregular polygons describe the tessellations in terms of the
Helpful Hint When you are given a frieze pattern, you may assume that the pattern continues forever in both directions Notes: Tessellations
A pattern has translation symmetry if it can be translated along a vector so that the image coincides with the preimage. A frieze pattern is a pattern that has translation symmetry along a line. Both of
Foundations of Math II Unit 2: Transformations in the Coordinate Plane
Foundations of Math II Unit 2: Transformations in the Coordinate Plane Academics High School Mathematics 2.1 Warm Up 1. Draw the image of stick-man m when translated using arrow p. What motion will take
This is a tessellation.
This is a tessellation. What shapes do you see? Describe them. How are the shapes alike? How are the shapes different? POM Do the Tessellation P 1 What happens at the corners (vertices) of the shapes?
Objective: Students will
Please read the entire PowerPoint before beginning. Objective: Students will (1) Understand the concept of and the process of making tessellations. (2) Create tessellations using: Rotation, Translation,
TESSELLATIONS #1. All the shapes are regular (equal length sides). The side length of each shape is the same as any other shape.
TESSELLATIONS #1 Arrange for students to work in pairs during this lesson. Each pair of students needs unlined paper and two tessellation sets, one red and one blue. Ask students in each pair to share
TESSELATIONS. BIG IDEA: Students will create a representational tessellation composition in the style of M.C. Escher ESSENTIAL QUESTIONS:
TESSELATIONS BIG IDEA: Students will create a representational tessellation composition in the style of M.C. Escher ESSENTIAL QUESTIONS: Why might M.C. Escher think like a mathematician? What is the relationship
2. Draw a non-isosceles triangle. Now make a template of this triangle out of cardstock or cardboard.
Tessellations The figure at the left shows a tiled floor. Because the floor is entirely covered by the tiles we call this arrangement a tessellation of the plane. A regular tessellation occurs when: The
Grade 7/8 Math Circles November 3/4, M.C. Escher and Tessellations
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Tiling the Plane Grade 7/8 Math Circles November 3/4, 2015 M.C. Escher and Tessellations Do the following
Middle School Geometry. Session 3
Middle School Geometry Session 3 Topic Transformational Geometry: Tessellations Activity Name Sums of the Measures of Angles of Triangles Do Congruent Triangles Tessellate? Do Congruent Quadrilaterals
Grade 6 Math Circles Fall 2010 Tessellations I
1 University of Waterloo Faculty of Mathematics entre for Education in Mathematics and omputing Grade 6 Math ircles Fall 2010 Tessellations I tessellation is a collection of shapes that fit together with
Constructing Tessellations Using Translations and Refl ections
Constructing Tessellations Using Translations and Refl ections Focus on After this lesson, you will be able to... identify how translations and reflections can be used to create a tessellation create tessellating
Quantitative Literacy: Thinking Between the Lines
Quantitative Literacy: Thinking Between the Lines Crauder, Evans, Johnson, Noell Chapter 9: Geometry 2013 W. H. Freeman & Co. 1 Lesson Plan Perimeter, area, and volume: How do I measure? Proportionality
Shapes. Reflection Symmetry. Exercise: Draw the lines of symmetry of the following shapes. Remember! J. Portelli
Reflection Symmetry Shapes Learning Intention: By the end of the lesson you will be able to Identify shapes having reflection and/or rotational symmetry. Exercise: Draw the lines of symmetry of the following
MATH 113 Section 9.2: Symmetry Transformations
MATH 113 Section 9.2: Symmetry Transformations Prof. Jonathan Duncan Walla Walla University Winter Quarter, 2008 Outline 1 What is Symmetry 2 Types of Symmetry Reflective Symmetry Rotational Symmetry Translational
Tessellation Patterns To Color
Patterns To Color Free PDF ebook Download: Patterns To Color Download or Read Online ebook tessellation patterns to color in PDF Format From The Best User Guide Database Page 77. Naming Conventions. A
Grade 6 Math Circles February 19th/20th
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Grade 6 Math Circles February 19th/20th Tessellations Warm-Up What is the sum of all the angles inside
Zome Symmetry & Tilings
Zome Symmetry & Tilings Tia Baker San Francisco State tiab@mail.sfsu.edu 1 Introduction Tessellations also known as tilings are a collection of polygons that fill the plane with no overlaps or gaps. There
Worksheet 29: Friday November 20 Tessellations: Tiling The Plane
Definition Worksheet 29: Friday November 20 Tessellations: Tiling The Plane A tiling of the plane or tesselation is a pattern that covers the plane with non-overlapping figures A periodic tiling is one
Escher-type Tessellations and Pull-up Polyhedra: Creative Learning for the Classroom
Bridges 2010: Mathematics, Music, Art, Architecture, Culture Escher-type Tessellations and Pull-up Polyhedra: Creative Learning for the Classroom E.B. Meenan* and B.G. Thomas School of Education* and School
Section A Solids Grade E
Name: Teacher Assessment Section A Solids Grade E 1. Write down the name of each of these 3-D shapes, (i) (ii) (iii) Answer (i)... (ii)... (iii)... (Total 3 marks) 2. (a) On the isometric grid complete
Board Tiling, Chocolate Breaking with a Hint of Fibonacci. Part I By Harry Main-Luu
Board Tiling, Chocolate Breaking with a Hint of Fibonacci Part I By Harry Main-Luu General Overview Part 1: Tiling a Plane Part 2: Tiling a Board Part 3: Breaking and Sharing Chocolate Some overarching
Grade 6 Math Circles February 19th/20th. Tessellations
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Grade 6 Math Circles February 19th/20th Tessellations Introduction to Tessellations tessellation is a
Become an Escher Sleuth
mathematical explorations classroom-ready activities Become an Escher Sleuth Linda L. Cooper, Sandy M. Spitzer, and Ming C. Tomayko ttessellations, the repetition of a shape that covers a plane without
Worksheet 30: Wednesday April 22 Tessselations: Tiling The Plane
Definition Worksheet 30: Wednesday April 22 Tessselations: Tiling The Plane A tiling of the plane or tesselation is a pattern that covers the plane with non-overlapping figures A periodic tiling is one
The Geometry Template
Math Message The Geometry Template Answer the following questions about your Geometry Template. DO NOT count the protractors, Percent Circle, and little holes next to the rulers. 1. How many shapes are
Part XV. Drawing wallpaper patterns. The goal for this part is to draw Esher-style wallpaper patterns with interlocking figures.
Part XV Drawing wallpaper patterns The goal for this part is to draw Esher-style wallpaper patterns with interlocking figures. Translation only What shape can be used to make a simple fundamental domain
Geometry of Art and Nature
School of the Art Institute of Chicago Geometry of Art and Nature Frank Timmes ftimmes@artic.edu flash.uchicago.edu/~fxt/class_pages/class_geom.shtml Syllabus 1 Sept 03 Basics and Celtic Knots 2 Sept 10
TESSELLATION. For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art. M.C.
![TESSELLATION. For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art. M.C.](/thumbs/78/77863811.jpg "TESSELLATION. For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art. M.C.")
TESSELLATION For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art. M.C. Escher Activity 1: Guessing the lesson Doc. 1 Word Cloud 1) What do you
Personal Social Values and Skills - Students will work cooperatively and contribute positively in group learning activities.
Integration This unit integrates math with subjects such as language arts and arts education. Throughout our activities we have asked the students to respond to the concepts of tessellations. They will
M8WSB-C07.qxd 4/4/08 7:00 PM Page NEL
8 NEL GOAL Chapter 7 Tessellations You will be able to use angle measurements to identify regular and irregular polygons that might tessellate identify and describe translations, reflections, or rotations
Vocabulary. Term Page Definition Clarifying Example. center of dilation. composition of transformations. enlargement. glide reflection.
CHAPTER 12 Vocabulary The table contains important vocabulary terms from Chapter 12. As you work through the chapter, fill in the page number, definition, and a clarifying example. center of dilation Term
Tessellations: The Importance of Symmetry. Although tessellations have been traced back to ancient human cultures and are
Abbie Wold Math 300 May 2, 2002 Tessellations: The Importance of Symmetry HISTORY Although tessellations have been traced back to ancient human cultures and are found in the natural world, they have had
Properties of polygons Year level: 6 7
Properties of polygons Year level: 6 7 Unit of work contributed by Anne Pillman, Marryatville Primary School, SA L6558 Exploring s. Copyright Alberta Education About the unit Unit description This unit
Transformation, tessellation and symmetry line symmetry
Transformation, tessellation and symmetry line symmetry Reflective or line symmetry describes mirror image, when one half of a shape or picture matches the other exactly. The middle line that divides the
We can use square dot paper to draw each view (top, front, and sides) of the three dimensional objects:
Unit Eight Geometry Name: 8.1 Sketching Views of Objects When a photo of an object is not available, the object may be drawn on triangular dot paper. This is called isometric paper. Isometric means equal
Sample Questions About Transformation In Geometry
Sample About In Free PDF ebook Download: Sample About In Download or Read Online ebook sample questions about transformation in geometry in PDF Format From The Best User Guide Database Reteaching with
Name: Class: Date: 2. I have four vertices. I have four right angles and all my sides are the same length.
1. Circle the right triangles. Use the corner of a piece of paper to check. 2. I have four vertices. I have four right angles and all my sides are the same length. What am I? 3. I have four vertices. All
Escher s Tessellations: The Symmetry of Wallpaper Patterns II. Symmetry II
Escher s Tessellations: The Symmetry of Wallpaper Patterns II Symmetry II 1/38 Brief Review of the Last Class Last time we started to talk about the symmetry of wallpaper patterns. Recall that these are
What You ll Learn. Why It s Important
First Nations artists use their artwork to preserve their heritage. Haida artist Don Yeomans is one of the foremost Northwest Coast artists. Look at this print called The Benefit, created by Don Yeomans.
acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6
acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6 angle An angle is formed by two rays with a common end point. Houghton Mifflin Co. 3 Grade 5 Unit
Chapter 20 Tilings For All Practical Purposes: Effective Teaching Chapter Briefing Chapter Topics to the Point Tilings with Regular Polygons
Chapter 20 Tilings For All Practical Purposes: Effective Teaching With this day and age of technology, most students are adept at using E-mail as a form of communication. Many institutions automatically
PLC Papers Created For:
PLC Papers Created For: Year 10 Topic Practice Papers: Polygons Polygons 1 Grade 4 Look at the shapes below A B C Shape A, B and C are polygons Write down the mathematical name for each of the polygons
SHAPE AND STRUCTURE. Shape and Structure. An explanation of Mathematical terminology
Shape and Structure An explanation of Mathematical terminology 2005 1 POINT A dot Dots join to make lines LINE A line is 1 dimensional (length) A line is a series of points touching each other and extending
TOPIC 16 STUDY GUIDE LINES, ANGLES AND SHAPES
Name: Teacher: TOPIC 16 STUDY GUIDE LINES, ANGLES AND SHAPES Study Guide Due: Test Date: Parents, 4th Graders are focusing on giving their best effort. One way to show that they are going above and beyond
UNIT 6: Connecting Algebra & Geometry through Coordinates
TASK: Vocabulary UNIT 6: Connecting Algebra & Geometry through Coordinates Learning Target: I can identify, define and sketch all the vocabulary for UNIT 6. Materials Needed: 4 pieces of white computer
Euclid s Muse Directions
Euclid s Muse Directions First: Draw and label three columns on your chart paper as shown below. Name Picture Definition Tape your cards to the chart paper (3 per page) in the appropriate columns. Name
Unit 1, Lesson 1: Moving in the Plane
Unit 1, Lesson 1: Moving in the Plane Let s describe ways figures can move in the plane. 1.1: Which One Doesn t Belong: Diagrams Which one doesn t belong? 1.2: Triangle Square Dance m.openup.org/1/8-1-1-2
Easy Tessellation Projects
Easy Projects Free PDF ebook Download: Easy Projects Download or Read Online ebook easy tessellation projects in PDF Format From The Best User Guide Database. is a pattern made with identical shapes with
Students construct nets of three dimensional objects using the measurements of a solid s edges.
Student Outcomes Students construct nets of three dimensional objects using the measurements of a solid s edges. Lesson Notes In the previous lesson, a cereal box was cut down to one of its nets. On the
Math 8 Shape and Space Resource Kit Parent Guide
Math 8 Shape and Space Resource Kit Parent Guide Resources Included with this Resource Kit (To be Returned to HCOS): Parent Guide Student worksheets Jenga blocks (game) Set of mini geosolids (Right Start
2D Shapes, Scaling, and Tessellations
2D Shapes, Scaling, and Tessellations Name(s): Sarah Hunter Title of lesson: How do different shapes fit together? Date of lesson: Week 2, Day 5 Length of lesson: 50 Minutes (1 Class Period) Description
Ready to Go On? Skills Intervention Building Blocks of Geometry
8-1 Ready to Go On? Skills Intervention Building Blocks of Geometry A point is an exact location. A line is a straight path that extends without end in opposite directions. A plane is a flat surface that
Differentiated Product Project: Tessellation
1 Brianna Myers and Adriana Pena Doctor Loughmiller SPED 2324.01 3 April 2013 Differentiated Product Project: Tessellation Definition: Tessellation (or Tilling)- is when you cover a surface with a pattern
TeeJay Publishers Homework for Level D book Ch 10-2 Dimensions
Chapter 10 2 Dimensions Exercise 1 1. Name these shapes :- a b c d e f g 2. Identify all the 2 Dimensional mathematical shapes in these figures : (d) (e) (f) (g) (h) 3. Write down the special name for
12-6 Exercises KEYWORD: MG7 12-6
THINK AND DISCUSS 1. Explain how you can identify a frieze pattern that has glide reflection symmetry. 2. Is it possible to tessellate a plane using circles? Why or why not? 3. GET ORGANIZED Copy and complete
Geometry. Standardized Practice Have students try the following problem.
1 Students need a basic understanding of angles to learn the properties of twodimensional shapes. In this lesson, students use models to represent, measure, and classify angles. Objective Recognize types
Tessellations. Irena Swanson Reed College, Portland, Oregon. MathPath, Lewis & Clark College, Portland, Oregon, 24 July 2018
Tessellations Irena Swanson Reed College, Portland, Oregon MathPath, Lewis & Clark College, Portland, Oregon, 24 July 2018 What is a tessellation? A tiling or a tessellation of the plane is a covering
Math 8 Review Package
UNIVERSITY HILL SECONDARY SCHOOL Math 8 Review Package Chapter 8 Math 8 Blk: F Timmy Harrison Jan 2013/6/7 This is a unit review package of chapter 8 in Theory and Problems for Mathematics 8 This review
Pulling a One-Eighty! Triangle Sum and Exterior Angle
Pulling a One-Eighty! Triangle Sum and Exterior Angle 1 Theorems Rules Exterior WARM UP Solve each equation for x. 1. x 1 105 5 180 105 105 75 ok 05 2. 2x 1 65 5 180 X 57.5 3. x 1 (x 1 30) 1 2x 5 180 4.
Copyright 2009 Pearson Education, Inc. Chapter 9 Section 5 - Slide 1 AND
Copyright 2009 Pearson Education, Inc. Chapter 9 Section 5 - Slide 1 AND Chapter 9 Geometry Copyright 2009 Pearson Education, Inc. Chapter 9 Section 5 - Slide 2 WHAT YOU WILL LEARN Transformational geometry,
EUCLID AND DEMAINE 11/12/2014 AWESOME TWIST-AND-CUT RESULTS EXPERIMENTS? WARM-UP THE ONE-CUT ARROW
WARM-UP AWESOME TWIST-AND-CUT RESULTS FROM @HOME EXPERIMENTS? Can you cut an arrow -shape out of a piece of paper with a single straight-line cut? Step 1: Draw an arrow Step 2: Attempt to fold it up so
PERSPECTIVES ON GEOMETRY PRE-ASSESSMENT ANSWER SHEET (GEO )
PERSPECTIVES ON GEOMETRY PRE-ASSESSMENT ANSWER SHEET (GEO.11.02.2) Name Date Site TURN IN BOTH TEST AND ANSWER SHEET TO YOUR INSTRUCTOR WHEN DONE. 1. 18. I. 2. 19. 3. 20. 4. 21. 5. 22. 6. 23. 7. 24. 8.
Answer Key Lesson 11: Workshop: Shapes and Properties
Answer Key esson 11: Use the nine Power Polygons below for Questions 1 and 2. 1. A. Sort the shapes with four sides into ox A. Sort the Shapes with one or more right angles into ox. Some shapes will go
a) A rectangle is cut twice once horizontally and once vertically. The four smaller rectangles have area 45, 25, 15, and x. Find x.
Day 54 1. Opener a) A rectangle is cut twice once horizontally and once vertically. The four smaller rectangles have area 45, 25, 15, and x. Find x. b) Sketch a coordinate plane and connect the points:
Investigate and compare 2-dimensional shapes *
OpenStax-CNX module: m30563 1 Investigate and compare 2-dimensional shapes * Siyavula Uploaders This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 3.0 1 MATHEMATICS
Unit 10 Study Guide: Plane Figures
Unit 10 Study Guide: Plane Figures *Be sure to watch all videos within each lesson* You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass needed for a piece
Main Idea: classify polygons and determine which polygons can form a tessellation.
10 8: Polygons and Tesselations Main Idea: classify polygons and determine which polygons can form a tessellation. Vocabulary: polygon A simple closed figure in a plane formed by three or more line segments
TOPIC 11. Triangles and polygons
TOPIC 11 Triangles and polygons We can proceed directly from the results we learned about parallel lines and their associated angles to the ideas concerning triangles. An essential question is a question
Mathematics Success Level E
T877 [OBJECTIVE] The student will classify two-dimensional figures based on properties. [PREREQUISITE SKILLS] Lesson 29, knowledge of basic geometry terminology including: parallel sides, congruent sides,
Lesson 2. Investigation. Name: a. Identify the shape of the sign and describe the symmetries
Check Your Understanding Being able to recognize traffic signs by their shape and color is important when Unit driving 6and is often tested on exams for a driver s license. Examine the school crossing
Geometry Unit 1: Transformations in the Coordinate Plane. Guided Notes
Geometry Unit 1: Transformations in the Coordinate Plane Guided Notes Standard: MGSE9 12.G.CO.1 Know precise definitions Essential Question: What are the undefined terms essential to any study of geometry?
Describe Plane Shapes
Lesson 12.1 Describe Plane Shapes You can use math words to describe plane shapes. point an exact position or location line endpoints line segment ray a straight path that goes in two directions without
Polyhedron Nets. National Standards (NCTM) 21 st Century Skills. Middle School
Polyhedron Nets Middle School National Standards (NCTM) 21 st Century Skills Instructional programs from prekindergarten through grade 12 in Geometry should enable each and every student to Analyze characteristics
Mathematics and the prints of M.C. Escher. Joe Romano Les Houches Summer School 23 July 2018
Mathematics and the prints of M.C. Escher Joe Romano Les Houches Summer School 23 July 2018 Possible topics projective geometry non-euclidean geometry topology & knots ambiguous perspective impossible
Tessellations: Wallpapers, Escher & Soccer Balls. Robert Campbell
Tessellations: Wallpapers, Escher & Soccer Balls Robert Campbell Tessellation Examples What Is What is a Tessellation? A Tessellation (or tiling) is a pattern made by copies of one or
Escher s Tessellations: The Symmetry of Wallpaper Patterns III. Symmetry III
Escher s Tessellations: The Symmetry of Wallpaper Patterns III Symmetry III 1/20 In the past two classes we saw many examples of Escher s tessellations, and different combinations of symmetry. We will
Geometry Lesson Polyhedron Nets. National Standards
Geometry Lesson Polyhedron Nets National Standards Instructional programs for Algebra grades 6 th -8 th should enable all students to: Precisely describe, classify, and understand relationships among types
Designing Polygons: Connecting Your Knowledge
Unit 1: Shapes and Designs//Investigation // Connections Designing Polygons: Connecting Your Knowledge I can define the Properties needed to Construct Polygons Math: Reflection: Total: / 40 For this packet,
Closed shapes with straight sides
41 Unit 6 and 7 Properties of 2D shapes Activity 1 Closed shapes with straight sides (polygons). Let s revise the 2D shapes you learnt about in Grade 5 Closed shapes with straight sides triangle quadrilateral
Student Outcomes. Lesson Notes. Classwork. Opening Exercise (3 minutes)
Student Outcomes Students solve problems related to the distance between points that lie on the same horizontal or vertical line Students use the coordinate plane to graph points, line segments and geometric
"Unpacking the Standards" 4th Grade Student Friendly "I Can" Statements I Can Statements I can explain why, when and how I got my answer.
0406.1.1 4th Grade I can explain why, when and how I got my answer. 0406.1.2 I can identify the range of an appropriate estimate. I can identify the range of over-estimates. I can identify the range of
A C E. Applications. Applications Connections Extensions
A C E Applications Connections Extensions Applications 1. Suppose that the polygons below were drawn on centimeter grid paper. How many 1-centimeter cubes (some cut in pieces) would it take to cover each
The National Strategies Secondary Mathematics exemplification: Y8, 9
Mathematics exemplification: Y8, 9 183 As outcomes, Year 8 pupils should, for example: Understand a proof that the sum of the angles of a triangle is 180 and of a quadrilateral is 360, and that the exterior
COMPUTER DESIGN OF REPEATING HYPERBOLIC PATTERNS
COMPUTER DESIGN OF REPEATING HYPERBOLIC PATTERNS Douglas Dunham University of Minnesota Duluth Department of Computer Science 1114 Kirby Drive Duluth, Minnesota 55812-2496 USA ddunham@d.umn.edu Abstract:
Tesselations. To configure Netscape to open these Tesselmania files,
Kursus i at tessellere: http://www.geom.uiuc.edu/~demo5337/group4/tsslatns.html Up: Home Page Geometry in Art Tesselations Background Information If you have ever seen an Escher picture you know what a
Review Interior Angle Sum New: Exterior Angle Sum
Review Interior Angle Sum New: Exterior Angle Sum QUIZ: Prove that the diagonal connecting the vertex angles of a kite cut the kite into two congruent triangles. 1 Interior Angle Sum Formula: Some Problems
Prime Time (Factors and Multiples)
CONFIDENCE LEVEL: Prime Time Knowledge Map for 6 th Grade Math Prime Time (Factors and Multiples). A factor is a whole numbers that is multiplied by another whole number to get a product. (Ex: x 5 = ;
Vocabulary. Term Page Definition Clarifying Example. center of dilation. composition of transformations. enlargement. glide reflection.
CHAPTER 12 Vocabulary The table contains important vocabulary terms from Chapter 12. As you work through the chapter, fill in the page number, definition, and a clarifying example. center of dilation Term
CCM6+/7+ - Unit 13 - Page 1 UNIT 13. Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date:
CCM6+/7+ - Unit 13 - Page 1 UNIT 13 Transformations CCM6+/7+ Name: Math Teacher: Projected Test Date: Main Idea Pages Unit 9 Vocabulary 2 Translations 3 10 Rotations 11 17 Reflections 18 22 Transformations
Geometry AP Book 8, Part 2: Unit 7
Geometry P ook 8, Part 2: Unit 7 P ook G8-7 page 168 1. base # s V F 6 9 5 4 8 12 6 C 5 10 15 7 6 12 18 8 8 16 24 10 n n-agon n 2n n n + 2 2. 4; 5; 8; 5; No. a) 4 6 6 4 = 24 8 e) ii) top, and faces iii)
Section 4: Introduction to Polygons Part 1
Section 4: Introduction to Polygons Part 1 Topic 1: Introduction to Polygons Part 1... 85 Topic 2: Introduction to Polygons Part 2... 88 Topic 3: ngles of Polygons... 90 Topic 4: Translation of Polygons...
Quadrilaterals & Transformations Study Guide
s & Transformations Study Guide What do I need to know for the upcoming Summative Assessment? s Classifications and Properties of: o o Trapezoid o Kite o Parallelogram o Rhombus o Rectangle o Square The