Pennsylvania Department of Education
Rotational Symmetry of Polygons and Other Figures
Students explore geometry by participating in a shape rotation experiment. For 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...
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Rotation Symmetry
Students investigate the concept of symmetry by using various examples and performing independent practice with scaffolding provided by the teacher. They review reflection symmetry and cover the new rotation symmetry using manipuatives.
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Geometry Exam
In this reflections and symmetry activity, students draw lines of symmetry in shapes and patterns and reflect letters over lines in graphs. Students complete 20 problems.
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Geometry Practice Exam
In this reflections and rotations activity, students reflect and rotate lines in graphs and draw lines of symmetry through patterns. Students complete 24 problems.
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Sled Kite Proportions
Students build sled kites. in this kite building lesson, students must read directions for kite building and enlarge the proportions of the given kite pattern. Students focus on the angles and line of symmetry in their kite.
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The Geometry of Paul Goble's Artwork
Young scholars examine the concepts of geometry used by Paul Goble in his book Adopted By The Eagles. After analyzing Mr. Goble's work they create an original piece featuring symmetry, pattern, repetition, and other principles of...
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Polygons
In this polygons learning exercise, students read about and complete many activities involving triangles, angles, and symmetry. Students complete 17 pages of activities.
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Lines of Symmetry
In this lines of symmetry worksheet, students check either yes or no to determine whether 3 pictures have rotational symmetry or not. A reference web site is given for additional activities.
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.
EngageNY
End-of-Module Assessment Task: Grade 6 Math Module 3
The last installment of a 21-part module is an end-of-module assessment. Individuals show their understanding of positive and negative numbers on the number line, absolute value, and the coordinate plane in a variety of contexts.
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Lines of Symmetry
For this lines of symmetry worksheet, students check yes or no to tell whether sets of lines shown are lines of symmetry. A reference web site for additional activities is given.
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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...
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Symmetry
Sixth graders explore symmetry and discuss the difference between a rotation and reflection. Using hands-on activities, such as folding paper shapes, they discover how to find the lines of symmetry and symmetrical characteristics. As a...
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Snowflake Symmetry
In this symmetry worksheet, students analyze a picture of a hexagon folded into sixths with black parts to be cut out. Students draw what the snowflake will look like when it is unfolded.
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Geometry and Symmetry
Students examine tessellations and their geometric properties. The activity and discussions may be used to develop students' understanding of polygons and symmetry as well as their ability to analyze patterns.
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Symmetry and Tessellations
Sixth graders investigate tessellations and their origins. Students trace triangles to form a tessellation. They measure the angle of equilateral triangles. Students locate the line of symmetry, they create geometric squares,...
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Symmetry In Nature
Students investigate the symmetry that is found in nature. They view shapes and patterns in nature while looking at images. Students look for tessellations while obtaining photographs with a digital camera. The information is used for...
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...
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,...
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Seeing Double
Students develop an intuitive definition for symmetry after viewing a PBS video. They examine asymmetrical patterns and demonstrate their knowledge by changing them to symmytrical.
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Lines of Symmetry
In this lines of symmetry worksheet, students check yes or no after determining whether diagrams show lines of symmetry. A reference web site is given for additional activities.
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Angles Activities
A series of geometry worksheets have mathematicians constructing, dissecting, overlapping, and measuring as they analyze angles in various contexts. Learners use symmetry and reflections in a compass rose to write instructions on...
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Math: Shapes and More Shapes
Students locate lines of symmetry in regular polygons and predict the number of lines of symmetry in an octagon. In three different polygons, they construct all lines of symmetry and after making their prediction about the octagon,...
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