Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
California Mathematics Project
Reflections
Reflections are the geometric mirror. Pupils explore this concept as they discover the properties of reflections. They focus on the coordinates of the reflections and look for patterns. This is the third lesson in a seven-part series.
EngageNY
Representing Reflections with Transformations
In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line...
EngageNY
Rotations, Reflections, and Symmetry
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
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
Geometry: Translations and Reflections
Group work and participation is used to perform a specified translation or reflection. In this geometrical translation lesson, small groups of pupils are each given a shape to plot on a coordinate grid. Each shape is then translated or...
EngageNY
End-of-Module Assessment Task - Geometry (module 1)
Have you hit a wall when trying to create performance task questions? Several open-ended response questions require a deep level of thinking. Topics include triangle congruence, quadrilaterals, special segments, constructions, and...
Curated OER
Translations, Reflections and Rotations
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
Curated OER
Mira, Mira on the Wall: Reflections
Students investigate and perform reflections and symmetry. In this geometry lesson, students compare and contrast the relationship between reflections and symmetries.
Curated OER
Geometry: Tessellations
Students create tessellations with computer software while applying their knowledge of reflections, rotations, and translations.
Curated OER
Reflections in the Plane
Have your class explore the concept of reflections as they use Cabri Jr. to construct a triangle and reflect it over a line. Learners reflect shapes across the coordinate plane and across the lines y = x and y = -x.
Curated OER
Symmetrical Geometry Paintings
Here is a clever, cross-curricular instructional activity that combines art and geometry. Learners design a painting that uses geometrical shapes and is symmetrical. Sponge-shaped geometrical figures are used to design half a page and...
Curated OER
Reflections
Tenth graders perform reflections on different geometric shapes. In this geometry worksheet,students define the concept of geometric reflections and find the coordinates of the reflection on a coordinate grid.
EngageNY
Reflections
Facilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...
NTTI
Transform Your Geometry into a Work of Art
Mathematicians utilize artwork to help illustrate the major ideas of transformations and tessellations. They visually identify transformations including reflections, rotations, and translations. They discuss how artists have used...
EngageNY
Mid-Module Assessment Task - Geometry (Module 1)
How do you prepare class members for the analytical thinking they will need in the real world? An assessment requires the higher order thinking they need to be successful. The module focuses on the concept of rigid transformations...
Virginia Department of Education
Translation and Reflection
Bring about the change you want to see in the world or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to develop...
Curated OER
Properties of Reflections
Students perform transformation on their polygons. In this geometry lesson, students identify the correct transformation of each shape. They move the polygons around on a coordinate plane. There are extension and homework activities...
Curated OER
The Geometry of Indigenous Art
Students examine the concepts of symmetry, rotations, reflections, translation, dialations, and tessellations and apply them to indigenous art. They also do Internet research and create artwork (painting, pottery, computer graphic design).
Curated OER
Reflections
Students investigate image and pre-image. In this geometry lesson, students identify the reflection and rotation of different shape on a coordinate plane. They identify similarities and differences of image and pre-image of a reflection.
Curated OER
Symmetry of Road Signs
Students identify symmetry in road signs. In this geometry lesson, students explore objects in the real world for symmetry. They perform translation, rotation and reflection.
EngageNY
Transformations—The Next Level
Transform your geometry instruction by incorporating role play into math class. Pupils begin by completing an assessment to locate unknown angles, and then performing a simulation activity to better understand rotations, reflections, and...
Curated OER
Composition of Reflections
Students perform reflections and translations of polygons. In this geometry lesson, students perform reflection in two parallel lines. They use Cabri to observe the transformation and rotations of each shape.
Curated OER
Geometry History Lesson
Tenth graders investigate the early history of geometry. In this geometry instructional activity, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry...
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