Lesson Plan
Annenberg Foundation

Annenberg Learner: Learning Math: Symmetry

For Teachers 9th - 10th
This presentation provides a tutorial on symmetry. In the tutorial, you will do the following: learn about geometric symmetry, explore line or reflection symmetry, explore rotation symmetry, and explore translation symmetry and frieze...
Unit Plan
Mathigon

Mathigon: Geometry: Rigid Transformations

For Students 9th - 10th Standards
This lesson focuses on rigid transformations, a specific set of rules that convert one geometric figure into another one. There are many different types of transformations, like reflections or rotations. It provides several practice...
Website
Other

Transformational Geometry & Iteration in Mangbetu Art

For Students 9th - 10th
Mangbetu art shows the use of all four geometric transforms: Reflection, Translation, Rotation, and Scaling. This website will provide you with some cultural background on the Mangbetu and their art. The software will allow you to...
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.
Interactive
Mangahigh

Mangahigh: Transtar: Reflections, Rotations, Dilations and Translations

For Students 6th - 8th Standards
For this geometry game, students must guide Transtar, an alien spaceship, across space by applying transformations to it. At the same time, there are dangers to avoid and the number of moves and tries are limited.
Handout
Simon Fraser University

Chem1 Virtual Textbook: How Thermal Energy Is Stored in Molecules

For Students 9th - 10th
With an overview of topics related to chemical energetics, this site provides a foundation to a study of thermodynamics and thermal energy. Other topics covered include kinetic energy, translation, rotation, vibrations, density, and more.
Activity
Math Open Reference

Math Open Reference: Plane Geometry: Transformations

For Students 9th - 10th Standards
Explore transformations of a polygon that include: 1) translation 2) rotation 3) reflection and 4) dilation.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Transformations of Graphs

For Students 9th - 10th Standards
Find a quick, concise explanation of the transformations of graphs: translations, reflections and rotations. Examples are given and clearly explained for each transformation.
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
Other

Derivation and Classification of Groups

For Students 9th - 10th
This gives examples of classification of the differences between rotation and translation.
Activity
Khan Academy

Khan Academy: Finish Your Scene!

For Students 9th - 10th
This activity focuses on finishing the scene by arranging items with rotation. The items that just require translation and scaling are already in place. Now you can add items that also require rotation.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Transformations

For Teachers 3rd - 5th
This lesson shows elementary students how they can know that rigid motions like reflections, rotations, and translations create a shape congruent to the original.
Lesson Plan
Alabama Learning Exchange

Alex: Determine the Vertices of Transformed Images

For Teachers 9th - 10th
This hands-on lesson uses exploration and discovery to help young scholars determine the coordinates of the vertices of various figures when translated, rotated, or reflected in a coordinate plane. The exploration phase will access...
Article
Khan Academy

Khan Academy: Multiple Transformations

For Students 9th - 10th
Creating multiple transformations using translation, rotation, and scaling and understanding how order makes a difference. PushMatrix, popMatrix, and resetMatrix are explained.
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
National Council of Teachers of Mathematics

The Math Forum: The Four Types of Symmetry in the Plane

For Students 9th - 10th Standards
This Math Forum site gives visual examples of rotation, translation, reflection, and glide reflection with background information about each. Also gives problems to work on concerning symmetry.
Activity
Texas Instruments

Texas Instruments: Geoboard App

For Teachers 6th - 8th Standards
Students use the Geoboard App to measure arcs, line segments, area, and perimeter, as well as rotate, reflect, and translate objects.
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: F Tf, G Co, Trigonometric Identities and Rigid Motions

For Teachers 9th - 10th Standards
The purpose of this task is to apply translations and reflections to the graphs of the functions f(x)=cos x and g(x)=sin x in order to derive some trigonometric identities. There are also rotations 180 degrees about points on the x-axis...
Handout
Purple Math

Purplemath: Function Transformations

For Students 9th - 10th Standards
Generally, translation involves only moving the graph around. Squeezing or stretching a graph is more of a "transformation" of the graph. But these two topics are usually taught at the same time, and usually under the same name. Just be...
Handout
CK-12 Foundation

Ck 12: Geometry: Types of Transformations Study Guide

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Transformations move and modify geometric shapes. There are several types of transformations that all transform figures in different ways. These transformations can...
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 8.1 Circles and Similarity

For Students 9th - 10th Standards
Learn how similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation.
Lesson Plan
Other

Nearpod: Transformations on Coordinate Planes

For Teachers 8th
In this lesson on transformations on coordinate planes, 8th graders explore dilation, translation, reflection, and rotation of shapes within a coordinate plane.
Unit Plan
E-learning for Kids

E Learning for Kids: Math: Living in the Mill: 2 D Shapes

For Students 2nd - 3rd
Students can use this interactive site to practice various geometric concepts such as rotations, reflections, translations, tesselations and geometric patterns.

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