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Illustrative Mathematics
Lines of Symmetry for Quadrilaterals
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...
Illustrative Mathematics
Finding the Line of Symmetry
Can you find the line of symmetry? That's what your students will demonstrate by completing this worksheet. The task gets increasingly difficult as shapes are included that have one line of symmetry, no lines of symmetry, and multiple...
Illustrative Mathematics
Lines of Symmetry for Triangles
What can symmetry tell us about triangles? After looking at four examples, learners will come to realize that lines of symmetry are different for equilateral, isosceles, and scalene triangles. Use this guided practice activity as an...
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...
Teach Engineering
Design a Flying Machine
Wrap up the unit in one final design. Pairs use their knowledge of aviation to design new flying machines and record how their designs take into consideration the forces that act upon airplanes. The pupils determine whether their designs...
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...
Gatton Park
Magical Maths
A variety of activities take scholars outside the classroom to explore shapes, symmetry, measurement, patterns, sorting, and time in nature. Learners participate individually, and in teams, to measure found objects, go on a...
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
Symmetry of the Addition Table
Help your class discover the commutative property of addition with this exploration of the addition table. By folding and coloring the table, a symmetry is found that directs students to an understanding of this crucial mathematical...
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Curated OER
Reflections and Equilateral Triangles
Your learners collaboratively find the lines of symmetry in an equilateral triangle using rigid transformations and symmetry. Through congruence proofs they show that they understand congruence in terms of rigid motions as they...
Baylor College
Water: The Math Link
Make a splash with a math skills resource! Starring characters from the children's story Mystery of the Muddled Marsh, several worksheets create interdisciplinary connections between science, language arts, and math. They...
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...
American Museum of Natural History
Draw a Monarch
Five steps walk scholars through the process of drawing a Monarch butterfly. Participants research the insect, make observations, trace, then color.
Curated OER
Symmetries of a Quadrilateral II
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.
Getting to Know
Shape and Form in Art
Introduce youngsters to the important role shape and form play in art with this extensive collection of activities and projects. From teaching first graders how to create mandalas to engaging third and fourth graders in the design...
Curated OER
Reflecting a Rectangle Over a Diagonal
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.
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.
John Lentine
Butterflies and Bugs
Symmetry, line, shape, art, and math are all connected through a fun hands-on craft. Included are instructions to a classic activity, where learners create butterflies to show symmetry in nature and then discuss symmetry in math. It is...
Illustrative Mathematics
Reflections and Isosceles Triangles
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...
Curated OER
Two Triangles' Area
Need an activity for teaching the Pythagorean Theorem? Geometry juniors apply the Pythagorean theorem to two triangles to determine a final calculation.
Illustrative Mathematics
Is This a Parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
Illustrative Mathematics
Illustrative Mathematics: 4.g Lines of Symmetry for Triangles
The division of triangles into scalene, isosceles, and equilateral can be thought of in terms of lines of symmetry. Aligns with 4.G.A.3.
Maths Challenge
Maths challenge.net: Lines of Symmetry
A "one star" geometry problem that requires finding the visual pattern and applying logic with pattern recognition to find the lines of reflective symmetry.
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