Curated OER
Caley Table for the Symmetries of a Square
Middle and high schoolers complete Caley's table to indicate rotating a square 90, 180, and 270 degrees. They also reflect a square across the vertical and horizontal line. This one-page learning exercise contains eight movements.
Curated OER
Reflections
Learners explore reflection of polygons on a coordinate plane. They examine the relationships that exist between corresponding points and sides.
Curated OER
Rotational Symmetry
In this rotational symmetry worksheet, 10th graders identify and compare 10 different figures illustrated on the sheet. They write the order of rotational symmetry seen in each figure as compared to the others. They also define an object...
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...
Noyce Foundation
The Shape of Things
Investigate the attributes of polygons. A thorough set of lessons presents problem scenarios for elementary through high school classes. The first lessons focus on basic characteristics of polygons, including the line of symmetry. As the...
Illustrative Mathematics
The Geometry of Letters
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent...
Curated OER
A Wall of Symmetrical Shapes
Students explore line(s) of symmetry in polygons during a hands-on activity and a Student Web Lesson. They build a wall of symmetrical shapes designed and drawn by students.
Curated OER
Folding to Make Shapes
Second graders identify different polygons and their attributes. In this geometry lesson, 2nd graders get to know polygons by studying the vocabulary and finding polygons in their classroom. They create these shapes and then find their...
Curated OER
Pattern Matching
First graders examine how to determine the lines of symmetry in pictures, shapes, and patterns by completing the lessons in this unit. They make patterns that show a line of symmetry and describe it using their own language.
Curated OER
Triangles and Quadrilaterals
In this triangles and quadrilaterals worksheet, 10th graders solve 6 different problems related to using triangles and quadrilaterals in informal geometry. They determine how many lines of symmetry an equilateral triangle and an...
Curated OER
Angles, Symmetry, and Quadrilaterals in Four Exercise Sets
In this angles learning exercise, students calculate the size of angles, draw lines of symmetry, and form quadrilaterals in four exercise sets. The solutions are provided.
Curated OER
Polygons
In this polygons worksheet, students read about and complete many activities involving triangles, angles, and symmetry. Students complete 17 pages of activities.
Curated OER
Shapes Are Everywhere
Third graders use various shapes to identify polygons and understand symmetry. They explore pattern blocks noticing their similarities and differences, then share with other team members. They draw 3 polygons in their journals and...
Curated OER
Building Big and Strong
Middle and high schoolers explore the concepts of architectural rigidity. They analyze a variety of polygons, and explain why some shapes add more strength to structures than others. The PBS video, "Building Big," is utilized in this plan.
Curated OER
Shape Tool
Students explore various polygons and examine how shapes can be manipulated in a variety of ways. In this shape tool lesson, students identify geometric shapes in two dimensions. Students identify and draw one line of symmetry in a...
Curated OER
Symmetry
Sixth graders explore symmetry and discuss the difference between a rotation and reflection. Using hands-on activities, such as folding paper shapes, they discover how to find the lines of symmetry and symmetrical characteristics. As a...
Curated OER
Polynominoes
In this polynominoes learning exercise, 10th graders solve 9 different problems relating to various types of polynominoes, such as triominoes and tetrominoes. First, they determine how many different types of triominoes they can locate...
Curated OER
Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Pennsylvania Department of Education
Rotational Symmetry of Polygons and Other Figures
Students explore geometry by participating in a shape rotation experiment. In this symmetry lesson, students identify the term symmetry and a list of other geometry vocabulary. Students analyze shapes as they are turned 90 degrees and...
Curated OER
Tessellations: Geometry and Symmetry
Learners examine tesselllations and their geometric properties. They have a better knowledge of polygons, can identify types of symmetry in tessellations. Also students use visulization, spatial reasoning, and geometric modeling to...
Curated OER
Geometry Practice: Transformations, Isometries, and Tessellations
Five pages for geometry practice relating to symmetry provide mathematicians with exercises on transformations and symmetry, properties of isometries, compositions of transformations, tessellations with regular polygons, and other...
Curated OER
Ruler and Compass Constructions
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.
Curated OER
Quilt Geometry
Seventh graders explore lines of symmetry, congruent polygons and patterns. They listen to "The Seasons Sewn," observe a PowerPoint presentation, and identify congruent polygons and visual patterns. Through an internet activity, 7th...
Curated OER
Symmetry and Tessellations
Sixth graders investigate tessellations and their origins. Students trace triangles to form a tessellation. They measure the angle of equilateral triangles. Students locate the line of symmetry, they create geometric squares,...