Texas Instruments
Texas Instruments: Transforming "F" on the Coordinate Plane
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...
Texas Instruments
Texas Instruments: Flipping Over the Coordinate Plane
In this activity, students review basic geometry vocabulary while investigating reflections on a coordinate grid.
Illustrative Mathematics
Illustrative Mathematics: 8.g Reflecting Reflections
In this task, 8th graders are shown a picture of a triangle on a coordinate grid and are asked to draw and label reflections and explain a transformation. Aligns with 8.G.A.3.
CK-12 Foundation
Ck 12: Geometry: Translation, Rotations, and Reflections
[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.
Texas Education Agency
Texas Gateway: Graphing Dilations, Reflections, and Translations
Given a coordinate plane, the student will graph dilations, reflections, and translations, and use those graphs to solve problems.
Khan Academy
Khan Academy: Determine Reflections (Advanced)
Given two figures on the coordinate plane, draw the line of reflection that takes one figure to another.
Texas Instruments
Texas Instruments: Handy Reflections
The purpose of this investigation is to: Revise plotting points on the Cartesian plane; Use and understand aspect ratios; Improve estimation skills; Use a spreadsheet or a graphing calculator to draw a graph; Learn how to reflect lines...
Khan Academy
Khan Academy: Advanced Reflections
Find the reflection that maps a given figure to another and draw the image of a reflection. The lines of reflection in this exercise have a wide range of slopes. Students receive immediate feedback and have the opportunity to try...
Illustrative Mathematics
Illustrative Mathematics: g.co Reflections and Equilateral Triangles Ii
This task examines some of the properties of reflections of the plane which preserve an equilateral triangle. The task gives learners a chance to see the impact of these reflections on an explicit object and to see that the reflections...
![Math by Design: Transformations/reflections [Pdf] Lesson Plan](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Math by Design: Transformations/reflections [Pdf] Lesson Plan")
Thinkport Education
Math by Design: Transformations/reflections [Pdf]
On a coordinate plane students will identify, describe, and plot the results of transformations with guidance provided by this lesson plan.
Illustrative Mathematics
Illustrative Mathematics: G Co Reflections and Equilateral Triangles
Given an equilateral triangle, students are asked to explore its symmetries using rigid transformations of the plane. Aligns with G-CO.B.
Oswego City School District
Regents Exam Prep Center: Intuitive Notion of Line Symmetry and Plane Symmetry
Definitions are provided line of symmetry, line symmetry, and plane symmetry, and several nice examples are provided that illustrate these definitions.
Texas Instruments
Texas Instruments: Reflections on the Coordinate Plane
Use the activity center in TI-Navigator to discover a generalization for reflecting ordered pairs over the x- or y-axis.
Clark University
Clark University: Dave's Short Trig Course: Transformations of the Plane
Site that focuses on planar pattern and transformations within geometry. It also identifies different kinds of symmetry.
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.
Texas Instruments
Texas Instruments: Reflecting a Triangle in the Coordinate Plane
In this activity, students use the drawing and measurement tools of Cabri Jr. to blend coordinate geometry with drawing tools. They visualize symmetry and reflect a point across the y-axis.
Khan Academy
Khan Academy: Practice: Reflect Points
In this set of questions, students practice using an interactive tool to reflect images on a Cartesian grid. Includes hints.
Alabama Learning Exchange
Alex: Creating a Reflection
In this lesson, the students will create geometric reflections. This is a hands on activity where the student will be able to conceptualize how geometric shapes are reflected across the x and y axis of a coordinate graph. This lesson...
Shodor Education Foundation
Shodor Interactivate: Transmographer 2
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, rotations about any point, and translations in any direction.
CK-12 Foundation
Ck 12 Exploration Series: Simulations: Physics: Prom Night
[Free Registration/Login Required] Understand the Law of Reflection by plane mirrors and the formation of virtual images. Use the simulation to play with variables for a variety of reflections. Further examples explaining how mirrors...
Khan Academy
Khan Academy: Reflect Points
In this exercise, students practice performing reflections on a coordinate plane. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.
University of Georgia
University of Georgia: Transformations: Revisiting Congruence
This site presents information on the three basic transformations of figures in a plane: Reflections, Rotations, and Translations.
Illustrative Mathematics
Illustrative Mathematics: G Co Fixed Points of Rigid Motions
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,...
University of South Florida
Fcat: Reflection: Teacher Notes
Students use the coordinate plane to investigate how reflections affect geometric shapes. Can be used by the student, but is also a great lesson plan idea for teachers.