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 alphabet and...
02 x 02 Worksheets
Symmetry
Get learners' minds rotating and reflecting while looking for symmetry. Pupils investigate figures to determine the number of lines of symmetry and if the figure has rotational symmetry. Classmates work together in groups to find out the...
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...
Flipped Math
Rotations
Turn the class around. Scholars define rotations of multiples of 90 degrees and create algebraic mappings for them. After an introduction to symmetry, pupils determine which letters of the alphabet have rotational and reflectional...
Curated OER
Rotational Symmetry
In this rotational symmetry worksheet, 5th graders determine if the two figures have rotational symmetry. This worksheet explains and provides examples of rotational symmetry.
Curated OER
Symmetry: Practice
In this symmetry activity, students trace the figures, turn them, and then write yes or no to tell if it has rotational symmetry. Students tell how many degrees they turned it to determine the symmetry. Students repeat the process for...
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
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
Geometry Practice Exam
In this reflections and rotations worksheet, students reflect and rotate lines in graphs and draw lines of symmetry through patterns. Students complete 24 problems.
Curated OER
Lines and Angles with K'NEX
Here is a geometry lessonwhich invites learners to create models using their knowledge of lines, segments, rays, and angles. This lesson reinforces geometric vocabulary and concepts through practical application, it also includes...
Curated OER
Symmetries of a Quadrilateral I
Learners examine the properties of quadrilaterals from the point of view of rigid motion. Different types of quadrilaterals are characterized by their symmetries, so learners explore the symmetries of a described quadrilateral to...
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...
Curated OER
Tessellation
Students 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
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...
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
Geometry Exam
In this reflections and symmetry worksheet, students draw lines of symmetry in shapes and patterns and reflect letters over lines in graphs. Students complete 20 problems.
Curated OER
Symmetries of Rectangles
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
Curated OER
Geometry History Lesson
Tenth graders investigate the early history of geometry. In this geometry lesson, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry while reviewing...
Houghton Mifflin Harcourt
Unit 6 Math Vocabulary Cards (Grade 5)
Acute angles, nets, and vertices are only a few terms that a set of flash cards includes. Among the 108 cards, two types are available; word cards printed in bold-faced lettering, and corresponding definition cards equipped with an...
Curated OER
Math Lab
In this polygons and angles worksheet, 10th graders complete 5 different questions related to polygons and angles, in addition to symmetry and transformations. First, they define polygon and how they are named. Then, students define...
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
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
Painting Package
Middle schoolers use tools in a painting package to design tiles and create repeating patterns. They design a single tile using a 4 x 4 grid and experiment with changing the alignment of some of the tiles by rotating different areas.
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...