Activity
PBS

Using Symmetry to Create Corporate Logos

For Teachers 4th - 8th Standards
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...
Lesson Plan
Illustrative Mathematics

Lines of Symmetry for Quadrilaterals

For Teachers 3rd - 5th Standards
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
Lesson Plan
1
1
Curated OER

Reflecting a Rectangle Over a Diagonal

For Teachers 7th - 9th Standards
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.
Lesson Plan
Curated OER

Symmetries of a Quadrilateral II

For Teachers 9th - 10th Standards
Learners investigate the symmetries of a convex quadrilateral in a collaborative activity. Rigid motion and complements are explored as learners analyze different cases of reflections across a line.
Lesson Plan
Curated OER

Symmetries of Rectangles

For Teachers 9th - 10th Standards
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
Lesson Plan
Curated OER

Reflections and Equilateral Triangles II

For Teachers 9th - 10th Standards
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...
Activity
Illustrative Mathematics

Reflections and Isosceles Triangles

For Teachers 9th - 11th Standards
Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...
Lesson Plan
2
2
Curated OER

Two Triangles' Area

For Teachers 7th - 9th Standards
Need an activity for teaching the Pythagorean Theorem? Geometry juniors apply the Pythagorean theorem to two triangles to determine a final calculation. 
Activity
Busch Gardens

Create an Invertebrate

For Teachers 4th - 8th Standards
What better way for young biologists to learn about invertebrates than by creating their very own? Here, students are assigned a set of invertebrate characteristics and are asked to invent an imaginary ocean animal...
Activity
The Franklin Institute

The Franklin Institute Online: On Reflection

For Students 9th - 10th
This is an activity site to learn more about reflective symmetry. In order to complete this activity you will need a mirror.
Activity
National Council of Teachers of Mathematics

The Math Forum: The Four Types of Symmetry in the Plane

For Students 9th - 10th Standards
This Math Forum site gives visual examples of rotation, translation, reflection, and glide reflection with background information about each. Also gives problems to work on concerning symmetry.
Activity
National Council of Teachers of Mathematics

The Math Forum: Line Symmetry

For Teachers 3rd - 5th Standards
This site from The Math Forum is a great site if you are looking for activities to engage your students in learning about line symmetry. Peruse this collection of activities for one or two or four that would be right for your students....
Activity
Rice University

Rice University: Cynthia Lanius: Designer Fractions Symmetry

For Students 3rd - 5th Standards
This site takes a look at symmetry, with a special focus on line symmetry. Here you will find a definition, as well as several examples and real-world applications.
Activity
Wolfram Research

Wolfram Math World: Reflection

For Students 9th - 10th
This site defines reflection, separates reflection into two categories of amphichiral and chiral. The site also gives formulas used in reflective symmetry including point-plane distance, position of reflected points and has links to...
Activity
Math Is Fun

Math Is Fun: Symmetry

For Students 3rd - 8th
Students learn about symmetry. Topics explored are reflection, rotational, and point symmetry. Examples and definitions are included.
Activity
Texas Instruments

Texas Instruments: Reflecting a Triangle in the Coordinate Plane

For Teachers 9th - 10th Standards
In this activity, students use the drawing and measurement tools of Cabri Jr. to blend coordinate geometry with drawing tools. They visualize symmetry and reflect a point across the y-axis.
Activity
University of Cambridge

University of Cambridge: Nrich: Symmetry Challenge

For Students Pre-K - 1st Standards
Sharpen your logic, symmetry, and pattern recognition skills while working on this challenge. Solution included.
Activity
Maths Challenge

Maths challenge.net: Lines of Symmetry

For Students 9th - 10th Standards
A "one star" geometry problem that requires finding the visual pattern and applying logic with pattern recognition to find the lines of reflective symmetry.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: A Group of Symmetries

For Teachers 9th - 10th Standards
Based off of the hit television show NUMB3RS, this lesson has students examine a set of transformations to determine if certain properties (such as associativity and closure) exist for equilateral triangles. Students create tables of...
Activity
Math Is Fun

Math Is Fun: Point Symmetry

For Students Pre-K - 1st Standards
A definition and examples of point symmetry, as well as links to information on rotational symmetry, reflection symmetry, transformations, and rotation.
Activity
Math Is Fun

Math Is Fun: Symmetry Artist

For Students 3rd - 8th
The learning activity explores symmetry. Students combine mathematics and art as they investigate reflection and rotation symmetry.
Activity
National Council of Teachers of Mathematics

The Math Forum: The Four Basic Symmetries

For Students 9th - 10th Standards
This is a site from the Math Forum that gives visual examples to show the differences between the four different kinds of symmetry. Examples are given along with links to additional information.
Activity
Beacon Learning Center

Beacon Learning Center: Ask Hannah

For Students 2nd - 6th Standards
This web lesson teaches students about symmetry in two-dimensional shapes.
Activity
University of Cambridge

University of Cambridge: Nrich: Happy Halving

For Students 1st - 2nd
On this one page website expand your logic, symmetry and pattern recognition knowledge while working on this challenge. The solution is available to double check your solution.

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