EngageNY
Construct and Apply a Sequence of Rigid Motions
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
Curated OER
Transformations
Young scholars explore the concept of transformations. In this transformations lesson, students use Geometer's Sketchpad to construct cyclic and dihedral figures. Young scholars study reflection and rotation symmetry. Students discuss...
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...
Curated OER
Tessellation
Pupils create an art piece incorporating tessellating shapes, translational symmetry, reflectional symmetry,and or rotational symmetry. They are asked if they know the definition of tessellation. If so, students are asked what shapes...
Curated OER
The Castle
Students build a castle to Ravi's design using the cubes. Students then make an original model of a solid object from diagrams which show views from the top, front, side and back. Students describe the reflection of rotational symmetry...
Curated OER
Drawing Lines of Symmetry
Third graders explore the concept of symmetry using geometric shapes, capital letters and various other shapes. They fold shapes to show symmetry, draw lines of symmetry and create symmetrical designs.
Curated OER
Symmetry
Students identify the different symmetry in polygons. For this geometry lesson, students identify line, rotational and point symmetry in different objects. They find the symmetry with 90% accuracy.
Curated OER
Seeing Double
Students develop an intuitive definition for symmetry after viewing a PBS video. They examine asymmetrical patterns and demonstrate their knowledge by changing them to symmytrical.
Curated OER
Patchwork Quilts
Fourth graders examine about traditional quilting patterns, the symmetry in such patterns, and practice creating patterns of their own. They design a quilting pattern, and groups make colorful "patches," of a pattern. They assemble the...
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
Seven Circles II
Your learners find as many rigid motions of the plane as they can that are symmetries of the configuration of circles. Rigid transformations of the plane are explored and become more concrete to them as they visualize and execute these...
Curated OER
Geometric Collages
Fourth graders investigate the concept of geometric patterning. They create their own patterns with a few basic requirements. The patterns must illustrate the concepts of flipping, 90 and 180 degree rotations. The collages also consist...
Exploratorium
Cut-Fold-Staple
Here is an interesting activity that combines paper folding art and geometry. In it, learners have a stack of index cards that are bound together. They draw a shape on it, and cut out the shape. When they unfold their shape, they have...
Curated OER
Reflections and Equilateral Triangles II
Given the lines of symmetry in an equilateral triangle, your learners find where the pre-image vertices are mapped onto the new image. They explore the properties of equilateral triangles, the impact of reflections, and the idea that the...
Curated OER
Geometry: Tessellations
Students create tessellations with computer software while applying their knowledge of reflections, rotations, and translations.
Curated OER
Perfectly Puzzling Pentominoes
Second graders utilize manipulatives (pentominoes) to demonstrate knowledge of: lines of symmetry, slides, reflections (flips), rotations (turns), area, and perimeter. This lesson gives students a meaningful way to practice these...
Curated OER
The Geometry of Paul Goble's Artwork
Students examine the concepts of geometry used by Paul Goble in his book Adopted By The Eagles. After analyzing Mr. Goble's work they create an original piece featuring symmetry, pattern, repetition, and other principles of geometry....
Virginia Department of Education
Quadratic Modeling
Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....
Curated OER
Transforming Triangles
Sixth graders graph translations (slides) and reflections (flips) on a coordinate plane. They visualize and identify geometric shapes after applying transformations on a coordinate plane. Finally, 6th graders write a paragraph telling...
Pennsylvania Department of Education
Length and Perimeter
Third graders explore tessellations and the spatial concepts used in creating them. For this tessellations lesson, 3rd graders rotate, reflect and transform shapes to create tessellations. Students become familiar with the vocabulary...
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
Geometry Journal: Isosceles Triangles
In this isosceles triangles worksheet, students justify and determine the symmetry of an isosceles triangle. They explore the bisector of rectangles. This three-page worksheet contains two problems. Answers are listed on page three.
Curated OER
Symmetry: Theory, Reality and Art!
Students explore the concept of geometric symmetry. For this geometric symmetry lesson, students walk around their school and take pictures of objects that demonstrate symmetry. Students use Microsoft Paint to draw the lines of symmetry...
Curated OER
Geometry and Symmetry
Students examine tessellations and their geometric properties. The lesson and discussions may be used to develop students' understanding of polygons and symmetry as well as their ability to analyze patterns.