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...
Curated OER
Symmetry in Paper Airplanes
Young scholars explore symmetry. For this geometry and scientific inquiry lesson, students design paper airplanes with middle line symmetry, as well as right, obtuse, and acute angles. Young scholars measure the plane's angles using a...
Curated OER
Dihedral Figures
Middle and high schoolers perform transformations. In this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
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Sensational Symmetry
Stdents create symmetrical designs by cutting folded paper in this cross-curricular lesson plan for the Math and Art classsroom. The lesson plan is adaptable for any grade or ability level.
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Math Lesson: Rotational Symmetry
Students analyze lines of symmetry and rotational symmetry in designs. They practice dividing a shape along its line(s) of symmetry and discuss the relationship between lines of symmetry and number of sides as well as rotations.
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Shape Tool
Young scholars 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. Young scholars identify and draw one line of...
Mathematics Assessment Project
Octagon Tile
A connecting-the-dots activity seems too easy for seventh grade but connecting vertices may prove a challenge. Class members first examine a figure created by drawing squares around the inside of an octagon and connecting the vertices....
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...
Bowland
Three of a Kind
One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.
School Mathematics Project
Resource Sheets
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Curated OER
Geometry, Measurement & Reasoning
Students complete worksheets involving rotational symmetry. In this geometry lesson, students complete worksheets to identify rotational symmetry and rotations. They compare and contrast rotated figures. Students examine the relationship...
Curated OER
Reflections over Two Lines & Dilations
Students create reflections over two lines. In this reflections worksheet, students compare and contrast reflections over parallel and intersecting lines. They dilate figures and investigate the effect of the dilation using measurement...
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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.
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Congruent Segments
The task, should your class decide to take it, is to list a series of reflections that transfer a line segment from one position to another.
Curated OER
THE MEAN INDEX CARD
Students cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
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As the Bird Flies
Students investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have been...
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Clay Tile: Art Deco Style
Pupils analyze and classify sets of pictures using a mathematical classification system and create original works of Art Deco tiles using this new knowledge and four types of symmetry.
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Old Glory
Students utilize mathematical concepts such as: measurement, ratio and proportion and geometric probability to analyze the components of the U.S. Flag. They collect, organize and interpret data by constructing charts, tables and graphs...
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Geometrically Artistic/Artistically Geomtric
Students identify the two-dimensional geometric shapes Lowrey utilized in the painting Untitled. Students compare the two-dimensional shapes in terms of equivalent fractions, congruency, symmetry and asymmetry. Students create their own...
Curated OER
In The Garden
Middle schoolers examine symmetry and transformation concepts. They create patterns that translate, reflect and rotate. Students participate in a variety of activities that explore transformation concepts through the context of a garden.
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Circles And Cylinders
Middle schoolers investigate some of the mathematical concepts involved in the study of circles. They first practice finding the circumference of a circle by finding the diameter and performing the calculation. The instructional activity...
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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...
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Geometry in Tessellations
Students examine tessellations and their geometric properties. Students explore the concept of tessellations and lines, planes, angles, and polygons. Students experiment with the area and perimeter of polygons. Students analyze...
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Compound Locus
Students investigate circles and compound locus. In this geometry instructional activity, students identify the distance from a point to a line. They use Cabri software to create lines and circles.