Unit Plan
CK-12 Foundation

Ck 12: Geometry: Translation, Rotations, and Reflections

For Students 7th - 8th Standards
[Free Registration/Login may be required to access all resource tools.] Translate, rotate, and reflect figures using coordinate notation and graphing in the coordinate plane.
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...
Activity
Texas Instruments

Texas Instruments: Connecting Translations, Reflection, and Rotations

For Teachers 9th - 10th Standards
In this activity, students will investigate the relationship among the three types of rigid transformations - translations, rotations, and reflections.
Lesson Plan
Other

Nearpod: Geometric Transformations: Rotation & Reflection

For Teachers 9th - 10th
For this lesson, students will learn how to identify, describe, graph, and write geometric reflections and rotations.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Translations, Reflections, and Rotations

For Teachers 6th - 8th Standards
Students are introduced to translations, reflections, and rotations and how to explore them in real-world scenarios.
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Reflections, Rotations, and Translations

For Teachers 8th Standards
This task uses GeoGebra software, which can be freely downloaded, to explore what happens to the line segments and angles of a triangle when it is reflected, rotated, and translated. Includes printable task sheet for students and a...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Fixed Points of Rigid Motions

For Teachers 9th - 10th Standards
A rigid motion of the plane is a map of the plane to itself which preserves distances between points. The purpose of this task is to use fixed points as a tool for studying and classifying rigid motions of the plane, i.e., translations,...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Symmetries of a Quadrilateral I

For Teachers 9th - 10th Standards
Suppose ABCD is a quadrilateral for which there is exactly one rotation, through an angle larger than 0 degrees and less than 360 degrees, which maps it to itself. Further, no reflections map ABCD to itself. What shape is ABCD? Aligns...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Symmetries of Rectangles

For Teachers 9th - 10th Standards
This task examines the rigid motions which map a rectangle onto itself. The emphasis here is on careful reasoning using the definitions of reflections and rotations. Aligns with G-CO.A.3.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Symmetries of a Quadrilateral Ii

For Teachers 9th - 10th Standards
There is exactly one reflection and no rotation that sends the convex quadrilateral ABCD onto itself. What shape(s) could quadrilateral ABCD be? Explain. Aligns with G-CO.A.3.
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...
Activity
Texas Instruments

Texas Instruments: Transforming "F" on the Coordinate Plane

For Teachers 9th - 10th Standards
Students move their cursor in this activity center to occupy a unique point on a background letter "F" in quadrant 1. Students then together follow a rule for going to a different point (such as "use the opposite of the original x...
Activity
Texas Instruments

Texas Instruments: Traveling Shapes Motion Geometry

For Teachers 6th - 8th Standards
In this activity, students describe how to move a shape from one place to another in a plane. They learn about translations, rotations, and line reflections. [Requires Adobe Reader.]
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.
Activity
Exploratorium

Exploratorium: Science Snacks: Reflections of a Star

For Teachers 9th - 10th
This simple lesson allows students to work cooperatively in determining the angular diameter of the Sun.
Unit Plan
Texas Education Agency

Texas Gateway: Comparing and Explaining Transformations

For Students 7th - 8th Standards
Given rotations, reflections, translations, and dilations, students will be able to develop algebraic representations for rotations and generalize and then compare and contrast the properties of congruence transformations and...
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.
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
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...
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.
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...
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...
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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