Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Tessellations Geometry and Symmetry

For Teachers 3rd - 8th Standards
This lesson plan deals with tessellations and their geometric concepts. Upper elementary and middle school students will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature and culture.
Unit Plan
Other

Symmetry in Architecture

For Students 9th - 10th
Provides real world examples of symmetry in architecture, including pictures of each kind of symmetry, examples, acknowledgements, and a bibliography.
Lesson Plan
Oswego City School District

Regents Exam Prep Center: Intuitive Symmetry: Point, Line, Plane, Rotational

For Teachers 3rd - 8th Standards
Investigate the concept of symmetry at this test prep site. See detailed definitions and picture examples, answer the questions in the interactive practice pages, and do the classroom activity where students use a digital camera to...
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Transformations

For Students 6th - 8th
This multimedia Learn Alberta math resource looks at real world examples of transformations found throughout West Edmonton Mall. The accompanying interactive component asks students to predict transformations through looking at...
Unknown Type
Houghton Mifflin Harcourt

Holt, Rinehart and Winston: Homework Help Independent Practice: Symmetry

For Students 9th - 10th
Get independent practice working with scientific and standard notation. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
Unit Plan
E-learning for Kids

E Learning for Kids: Math: Tea Store: 3 D Shapes and Symmetry

For Students 5th - 7th Standards
In this tea store, the boxes all have different shapes! What do you know about shapes?
eBook
Mathigon

Mathigon: Geometry: Symmetry Groups and Wallpapers

For Students 9th - 10th
This lesson focuses on wallpaper groups. While there are infinitely many possible patterns, they all have one of just 17 different symmetry groups. These are called the Wallpaper Groups. Every wallpaper group is defined by a combination...
Unit Plan
Texas Education Agency

Texas Gateway: Making Conjectures About Congruence Transformations

For Students 9th - 10th Standards
Given geometric figures on the coordinate plane, the student will apply the definition of congruence, in terms of rigid transformations, to identify congruent figures. The student will also identify and distinguish between reflectional...
Unit Plan
Clark University

Clark University: Dave's Short Trig Course: Transformations of the Plane

For Students 9th - 10th Standards
Site that focuses on planar pattern and transformations within geometry. It also identifies different kinds of symmetry.
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Upside Down (Pdf)

For Students 3rd - 8th Standards
What lowercase letters read the same both upside down and right side up? If you have the answer, then you can handle this geometric symmetry math challenge. A one-page activity from the NTCM Math Challenge for Families collection....
Activity
Rice University

Rice University: Cynthia Lanius: Dueling Pinwheels (Geometer's Sketchpad)

For Teachers 9th - 10th
An introductory look at the interactive Geometer's Sketchpad in terms of using it to explore rotations, translations, and reflections. Only a beginner's amount of skill with the program is needed. Exploration questions are given for the...
Lesson Plan
Texas Instruments

Texas Instruments: Transformations, Rotations, Dilations 1

For Teachers 9th - 10th Standards
This StudyCards stack tests students' understanding of translation, transformation, symmetry, dilation, and rotation of a point to form images. Teachers require TI StudyCards Creator Software and students will need the StudyCardApp on...
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Translations, Reflections, and Rotations

For Teachers 3rd - 8th Standards
This upper elementary and middle school lesson plan introduces a variety of motion geometry concepts such as translations, reflections, and rotations. Lots of interactive support for students.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Rotating Parabolas

For Students 9th - 10th Standards
Dr. Math, in a reply to a student question, shows how to derive the equation of a parabola for situations when the line of symmetry is not || to one of the axes.
Lesson Plan
PBS

Pbs Learning Media: Math + Arts: Geometry in Dance

For Teachers 3rd - 5th
In this instructional activity, students observe symmetry, geometric shapes, and angles in two Early American dances, and then choreograph their own dance with symmetrical figures. Media and teaching materials are included.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: A Group of Symmetries

For Teachers 9th - 10th Standards
Based off of the hit television show NUMB3RS, this lesson has students examine a set of transformations to determine if certain properties (such as associativity and closure) exist for equilateral triangles. Students create tables of...
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Visual Patterns in Tessellations

For Teachers 3rd - 8th Standards
This upper elementary and middle school lesson plan examines the mathematical nature of art, tilings and tessellations. Students will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature and our...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Traslaciones, Simetrias Y Giros

For Students 9th - 10th Standards
In Spanish. In this unit you can learn about movements in the plane: translations, symmetry and rotation.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Seven Circles Ii

For Teachers 9th - 10th Standards
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Learners are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...
Activity
University of Georgia

University of Georgia: Transformations: Revisiting Congruence

For Students 9th - 10th Standards
This site presents information on the three basic transformations of figures in a plane: Reflections, Rotations, and Translations.
Activity
Rice University

Rice University: Cynthia Lanius: Polyominoes Fun With Dominoes

For Teachers 9th - 10th
For students who have ever played dominoes and Tetris, polyominoes will strike them as a great deal of fun. Teachers will see the educational benefits of working with similar and congruent shapes and rotating them in a plane. Exploration...
Rubric
McGraw Hill

Glencoe Mathematics: Online Study Tools: Self Check Quiz on Transformations

For Students 9th - 10th Standards
Students show comprehension of advanced mathematics skills in Geometry. The questions check understanding on transformational geometry. Topics include translations, symmetry, and rotations.
Handout
Other

Xah Lee: Some Theorems on Rotation and Translation

For Students 11th - 12th Standards
This site is for the purpose of using proofs for geometry. It helps by giving some useful theorems.
Activity
Other

Hstry: Transformations

For Students 9th - 10th Standards
A unique geometry project that asks students to complete a transformation using a picture. Project includes instructions, examples, and quiz questions.

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