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K–12 teaching and learning · from the UNC School of Education

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Monster symmetry
Students will make a "monster" through symmetry using white paper, pencils, and scissors. This activity will help students visualize how to identify objects that can be divided symmetrically.
Format: lesson plan (grade 3 Mathematics)
By Mary Allen.
Winter congruent and symmetrical shapes
Students learn about congruency and symmetry. They complete a symmetrical tree that is complete with congruent ornaments.
Format: lesson plan (grade 3 Mathematics)
By Julie Little.
Radial symmetry design
Students will study the carving of 18th century America and create a rosette design using radial symmetry.
Format: lesson plan (grade 5 Visual Arts Education)
By Lisa Mitchell.
Reflection designs
Students will be able to illustrate the geometric transformation of a reflection through creating their own unique designs.
Format: lesson plan (grade 4 Mathematics)
By Karen Boles.
Collaging symmetry
Students will create a symmetrical artwork with construction paper, glue, and yarn. This lesson will allow students to use critical thinking to create an original work. They should learn that there is more than one solution to a creative problem.
Format: lesson plan (grade 2 Visual Arts Education)
By Marion McClure.
Origami geometry
Students apply their knowledge of geometric terms to follow directions while folding an origami sculpture. Students then solve math problems which relate to the project with follow-up discussions about the project relating to geometric terms such as symmetry, faces, edges, square, triangle, plane, etc.
Format: lesson plan (grade 3–5 Mathematics)
By Cherl Hollada, Libby Morrison, Michelle Kaczynski, and Susan Pope.
Congruent figures
This is a fun, hands-on activity to help students identify congruent figures.
Format: lesson plan (grade 3 Mathematics)
By Jennifer Robinson.
How do I express what I believe? - Part 2
This is the second in a three-part lesson series seeking to examine belief systems and how they impact culture in the United States. This lesson, "How do I express what I believe?" requires 3 sessions at 40 minutes each to complete. The lesson series also seeks to let students examine their own personal belief system. In this lesson, the student will learn about the American tradition of the Face Jug/Pot and how it is used to express belief. The student will also create a Face Jug/Pot to express his/her belief, and this pot will be used in the third lesson entitled. "How do I present what I believe?"
Format: lesson plan (grade 5 Visual Arts Education)
By Donna Pumphrey.
Lucky ladybug doubles
This lesson will involve students in using symmetry and doubling of numbers 1 through 7 to make ladybugs.
Format: lesson plan (grade K–1 Computer/Technology Skills and Mathematics)
By Alta Allen.
Tessellations with M.C. Escher
This lesson familiarizes students with tessellations, designs created by images placed against each other with no empty spaces. It also introduces the work of M. C. Escher. It can be used in conjunction with math lessons in geometry.
Format: lesson plan (grade 6–8 Visual Arts Education)
By Judith Riddle.
Translations, reflections, rotations
This lesson will allow students to explore translations, reflections, and rotations using a resource of Shodor Education Foundation, Inc. Permission has been granted for the use of the materials as part of the workshop Interactivate Your Math Students. Students explore the world of translations, reflections, and rotations in the Cartesian coordinate system by transforming squares, triangles and parallelograms. Parameters: Shape, x or y translation, x or y reflection, angle of rotation. (Italics are a direct quote from Shodor.org.)
Format: lesson plan (grade 6–8 Mathematics)
By Deborah Bourne.
Snap! Crackle! Box!
The student will create a new cereal and design an original box as their final for Art 1. This is a cumulative assignment incorporating the skills and techniques studied and developed throughout the course of the year.
Format: lesson plan (grade 9–12 Visual Arts Education and English Language Development)
By Joan Lansford and Peggy Peck.
Working with parabolas
In CareerStart lessons: Grade eight, page 2.3
In this lesson, students graph a quadratic equation to find a solution to a hypothetical scenario involving event planners.
Format: lesson plan (grade 9 Mathematics)
By Debbie Brooks, Peggy Dickey, and Jan Sullivan.

Resources on the web

Relating Rotations to Symmetry
Students investigate the relationship between rotations and the symmetry in a figure or a design. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Relationships between reflections and symmetry
In this lesson, one of a multi-part unit from Illuminations, students learn the properties of designs that have bilateral symmetry. They also make their own designs and investigate dihedral symmetry. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Finding Lines of Symmetry
Students identify and create lines of symmetry and congruent figures. (Learn more)
Format: lesson plan (grade 2 Visual Arts Education and Mathematics)
Provided by: National Council of Teachers of Mathematics
Figuring in football
Students examine the influences of pattern, symmetry, and design in the real-world, by looking at a football field. (Learn more)
Format: lesson plan (grade K–2 Mathematics)
Provided by: National Council of Teachers of Mathematics
Asymmetry and aggression
In this Science Update, from Science NetLinks, students hear about a study that has found a link between aggression and body symmetry that may go back to the womb. (Learn more)
Format: activity/lesson plan (grade 6–8 Science)
Provided by: American Association for the Advancement of Science
Symmetries III
This lesson, from Illuminations, helps students to understand how translations work and what happens when two or more translations are applied one after the other. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Planning a mini-quilt
In this lesson, one of a multi-part unit from Illuminations, students create a quilt using three transformations (reflection, rotation, and translation) and then investigate the ways shapes can be colored to show one-half and one-fourth. (Learn more)
Format: lesson plan (grade 3–5 Mathematics)
Provided by: National Council of Teachers of Mathematics