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Curated OER
Reflecting Reflections
A triangle rests in quadrant two, from which your class members must draw reflections, both over x=2 and x=-2. This focused exercise strengthens students' skills when it comes to reflection on the coordinate plane.
Curated OER
Congruent Rectangles
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.
US National Archives
We the People Focusing on Details: Compare and Contrast
Even the most inspiring documents in American history had to go through a few drafts before they were ready for publication. Reinforce the importance of the writing process, as well as the collaborative nature of democracy, with an...
Curated OER
Triangle Congruence with Coordinate
Two triangles are displayed on a coordinate plane. Youngsters apply a reflection and a translation to demonstrate their congruence. This exercise makes a terrific tool for teaching these concepts, or a way to assess learning.
PBS
Using Symmetry to Create Corporate Logos
Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the...
Illustrative Mathematics
Why Does SSS Work?
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
Illustrative Mathematics
Congruent Triangles
Geometers prove that triangle PQR is congruent to triangle ABC by describing any combination of rotations, reflections, and translations that would prove it so. There is only this single task on the handout, but a detailed explanation of...
US Department of Education
A Close Reading of Lincoln’s Gettysburg Address
Abraham Lincoln's Gettysburg Address provides the text for a series of close reading exercises that model for instructors how carefully crafted guiding questions can help readers think critically about what they read, thus developing...
National Endowment for the Humanities
The Beauty of Anglo-Saxon Poetry: A Prelude to Beowulf
Riddle me this! What do kennings, caesura, and alliteration have to do with the Nowell Codex? Introduce class members to Anglo-Saxon poetry and prepare readers for a study of Beowulf with a series of activities that...
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
Novelinks
Wildwood Dancing: Questions using Bloom’s Taxonomy of Thinking Process
Readers respond to a series of questions focused onJuliet Marillier's young adult novel Wildwood Dancing, and crafted to reflect the levels in Bloom's Taxonomy.
Shmoop
ELA.CCSS.ELA-Literacy.SL.9-10.1
Translate the first speaking and listening standard for yourself and your ninth and tenth graders! Learners can focus on communicating in small groups with the two activities presented here. Both activities center around group creation...
Texas Instruments
Texas Instruments: Transformations, Reflections and Translations
Students will discover how to move a function up, down, to the right or left or reflect it.
Texas Instruments
Texas Instruments: Connecting Translations, Reflection, and Rotations
In this activity, students will investigate the relationship among the three types of rigid transformations - translations, rotations, and reflections.
Texas Instruments
Texas Instruments: Geometry: Translations and Reflections
Students will be in groups and plot given points. From the given points the students will plot the appropriate reflection or translation.
Texas Instruments
Texas Instruments: Geoboard App
Students use the Geoboard App to measure arcs, line segments, area, and perimeter, as well as rotate, reflect, and translate objects.
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.
Math Open Reference
Math Open Reference: Plane Geometry: Transformations
Explore transformations of a polygon that include: 1) translation 2) rotation 3) reflection and 4) dilation.
National Council of Teachers of Mathematics
The Math Forum: The Four Types of Symmetry in the Plane
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.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Transformations of Graphs
Find a quick, concise explanation of the transformations of graphs: translations, reflections and rotations. Examples are given and clearly explained for each transformation.
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Texas Instruments
Texas Instruments: Traveling Shapes Motion Geometry
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.]
Beacon Learning Center
Beacon Learning Center: Wrapping Paper Patterns
Students explore slides, flips, and turns in this interactive web lesson.
National Council of Teachers of Mathematics
Nctm: Illuminations: Visualizing Transformations
Choose a transformation and apply it to a shape to observe the resulting image.