National Council of Teachers of Mathematics
The Math Forum: Analytic Geometry: Polar Coordinates
This site from The Math Forum provides great information on polar coordinates. You can access this information either by clicking on the coordinates link or just scrolling down, it is the first one listed on the page. Includes several...
Common Core Sheets
Common Core Sheets: Geometry 8.g.3 Worksheets: Coordinate Plane
Worksheets provide practice with finding the area or circumference of a circle and answer keys are provided. You can even create your own worksheet or flashcards.
Math Is Fun
Math Is Fun: Definition of Congruent
Definition of congruent. Choose the "here's more" link to see examples of a rotation, reflection and translation.
ClassFlow
Class Flow: Transformations in Geometry
[Free Registration/Login Required] This flipchart was designed to introduce fourth grade students to transformations in geometry. It includes translations, reflections, and rotations.
National Council of Teachers of Mathematics
The Math Forum: The Four Basic Symmetries
This is a site from the Math Forum that gives visual examples to show the differences between the four different kinds of symmetry. Examples are given along with links to additional information.
University of Cambridge
University of Cambridge: Nrich: Transformation Tease
Follow the directions at this one page website. You will get lots of practice plotting points on the coordinate grid and experience with transformational geometry.
ClassFlow
Class Flow: Tesselations
[Free Registration/Login Required] This is a visual instruction of tessellations. It displays a variety of tessellations throughout the world and in different cultures.
Texas Education Agency
Texas Gateway: Comparing and Explaining Transformations
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...
TeachEngineering
Teach Engineering: Ding! Going Up? Elevators and Engineering
Students create model elevator carriages and calibrate them, similar to the work of design and quality control engineers. Students use measurements from rotary encoders to recreate the task of calibrating elevators for a high-rise...
Other
Transformational Geometry & Iteration in Mangbetu Art
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...
Other
Brilliant: Conservation of Energy
Discusses conservation of energy, and explains what kinetic energy is, some kinds of potential energy, and how work and energy are related using the work-kinetic energy theorem. Provides lots of examples along with calculations.
University of Waterloo (Canada)
University of Waterloo: Cemc: Geometry and Spatial Sense: Transformations [Pdf]
Accompanied by links to online activities and demonstrations, middle schoolers learn about the different types of transformations on a coordinate grid through this lesson plan. The lesson is designed to match the Grade 7 Ontario...
Alabama Learning Exchange
Alex: Geometry City
This lesson plan reviews transformations in the coordinate plane while mimicking real-world planning skills. It gives an assessment and ideas for remediation, extention as well as ways to manage behavior problems and reluctant learners.
E-learning for Kids
E Learning for Kids: Math: Market Place: 2 D Space
At the Food Market there are a lot of shapes. Help Afia find and name the shapes.
Khan Academy
Khan Academy: Scaling Items in a Scene
In this activity, students will arranging items with scaling. The items that just require translation are already in place. Now you can add items that require translation and scaling. Ignore any item that requires rotation. Again, once...
Texas Instruments
Texas Instruments: Transforming Tangrams
The student will use the transformations - rotation, reflection, translation - to create common shapes from tangram pattern blocks
Varsity Tutors
Varsity Tutors: Hotmath: Similar Figures
Find a clear explanation of similar figures. Discusses how they can be transformed through a sequence of rotations, reflections, translations, and dilations. Explanations are supported with illustrated examples.
Other
Center for Technology and Teacher Education:exploring and Creating Tessellations
This site is a Geometer's Sketch Pad lesson plan where students explore tessellations through reflections, rotations, and translations.
Math Planet
Math Planet: Geometry: Transformation Using Matrices
Explains how simple polygons translate into matrices and how to use 2x2 matrices to represent transformations in a plane. Includes video demonstrating an example where a vector must be rotated 90 degrees using matrices. [4:18]
Alabama Learning Exchange
Alex: Determine the Vertices of Transformed Images
This hands-on lesson uses exploration and discovery to help students determine the coordinates of the vertices of various figures when translated, rotated, or reflected in a coordinate plane. The exploration phase will access students'...
Khan Academy
Khan Academy: Multiple Transformations
Creating multiple transformations using translation, rotation, and scaling and understanding how order makes a difference. PushMatrix, popMatrix, and resetMatrix are explained.
University of Regina (Canada)
University of Regina: Math Central: Mathematics Glossary
This site contains the definitions for many geometric terms including transformations.
Shodor Education Foundation
Shodor Interactivate: Lesson: Geometry in Tessellations
This upper elementary and middle school lesson plan explores tessellations and their geometric properties. Plenty of interactive support is available for students. Lots of resources for teachers to use.
Shodor Education Foundation
Shodor Interactivate: Lesson: Tessellations Geometry and Symmetry
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.