Curated OER
Reflections
In this reflections activity, 10th graders solve and complete 34 different problems that include determining various reflections. First, they trace the figure and draw its reflection in each line. Then, 10th graders use the diagram shown...
Curated OER
Introducing Tessellations
Students create tessellations to increase their knowledge of the applications of geometry. They explore the different shapes of polygons.
Curated OER
Geometric Transformations
In this geometric transformations worksheet, 4th graders choose how three shapes have been transformed, either reflected, rotated or translated.
Curated OER
Transformation of Alphabet Letters
In this transformation of alphabet letters worksheet, students choose whether three alphabet letters have been reflected, rotated or translated.
Curated OER
Identifying Transformations
In this identifying transformations learning exercise, 3rd graders look at three figures and choose reflected, rotated or translated to indicate how it has been transformed.
Curated OER
Fold and Cut 2
Second graders make, name, and describe, using their own language and the language of geometry, everyday shapes and objects. They create and discuss geometric patterns which repeat (show translation), or which have rotational or...
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...
Curated OER
Exploring Quadratic Data : Transformation Graphing
High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...
Curated OER
Exploring Quadratic Data with Transformation Graphing
Using a data collection device to collect data regarding a bouncing ball, young scholars use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of...
Curated OER
In The Garden
Middle schoolers examine symmetry and transformation concepts. They create patterns that translate, reflect and rotate. Students participate in a variety of activities that explore transformation concepts through the context of a garden.
Curated OER
Frieze Patterns
In this frieze pattern worksheet, students draw frieze patterns that can be constructed from a given motif. They perform translations, glide reflections, horizontal and vertical reflections and 180 degree rotations. This one-page...
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
Clay Tile: Art Deco Style
Students analyze and classify sets of pictures using a mathematical classification system and create original works of Art Deco tiles using this new knowledge and four types of symmetry.
Curated OER
Math/Technology: Symmetry
Fourth graders, using KidPix, use stamps and pencil tools to illustrate which pictures have symmetry. They add text boxes to explain their answers in math terms. Students practice skills in rotation, reflection, and translation on an...
Curated OER
Reflections
Students investigate the concept of reflectons. They investigate how an image has a reflection that is symmetrical. They also choose household objects in order to have real life application for finding lines of symmetry.
Shodor Education Foundation
Visual Patterns in Tessellations
Geometers explore the concept of tessellations. They use a tessellation applet to manipulate shapes and design their own tessellation using the applet.
Curated OER
Transformational Geometry Using the Geometer's Sketchpad
Students complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a quadrilateral...
Curated OER
Transformations on the Coordinate Plane
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
Curated OER
Design Explorations: Frieze Patterns
Students will explore frieze patterns. A frieze pattern is a mathematical concept to classify designs on two-dimensional surfaces, which are repetitive in one direction, based on the symmetries in the pattern. They will explore examples...
Curated OER
Mandalas : polygons
Fourth graders create mandalas. In this mandala lesson, 4th graders look at these polygons in nature and man-made forms. They create their own by using tangrams.
Curated OER
Reflection in a Line
In this reflection of a line instructional activity, 10th graders identify 10 different reflections of lines as stated in each. First, they determine the image of a point under a reflection across the x-axis. Then, students find x, y,...
Curated OER
Reflection in a Point
In this reflection of point worksheet, 10th graders solve 10 different problems related to various points reflection. First, they determine the image at the point given under a point of reflection. Then, students determine if an image...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
Virginia Department of Education
Transformations
The coordinate plane is a popular place! Identify rotations, reflections, and dilations on the coordinate plane. Pupils work in small groups to match transformations of a figure with the description of the transformation. They perform...