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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 alphabet and...
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Lesson Plan
Curated OER

Symmetry in Paper Airplanes

For Teachers 5th - 8th
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...
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Lesson Plan
EngageNY

Symmetry in the Coordinate Plane

For Students 6th Standards
The 17th installment of a 21-part module investigates symmetry in the coordinate plane. After plotting several examples, scholars develop a rule for the coordinates of a point after reflecting over the x-axis, the y-axis, or both.
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Lesson Plan
Curated OER

Mirror Symmetry/Mirror Images

For Teachers 5th - 6th
Students explore lines of symmetry in geometric shapes. In this geometry lesson, students construct angles using mirrors and rubberbands, then predict the number of images that will appear in the reflection. Students reproduce lines of...
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Lesson Plan
Curated OER

Dihedral Figures

For Teachers 6th - 12th
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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Lesson Plan
Curated OER

Sensational Symmetry

For Teachers K - 12th
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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Lesson Plan
Curated OER

Math Lesson: Rotational Symmetry

For Teachers 4th - 7th
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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Lesson Plan
Curated OER

Math: Symmetry and Similarity

For Teachers 6th - 8th
Learners describe the differences between congruence and similarity. After explaining the motions that indicate congruency of two shapes, they complete worksheets to draw lines of symmetry and similar shapes. With straws and twist...
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Assessment
EngageNY

End-of-Module Assessment Task: Grade 6 Math Module 3

For Students 6th Standards
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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Lesson Plan
Curated OER

The Geometry of Paul Goble's Artwork

For Teachers 4th - 8th
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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Lesson Plan
Curated OER

Shape Tool

For Teachers Pre-K - 8th
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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Lesson Plan
Curated OER

No-More-In-A-Line

For Teachers 5th - 6th
Learners and teacher discuss square windows and their symmetry. Students work on the problem given and discuss any difficult ideas. They work in groups to use a systematic approach to get all possible answers.
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Lesson Plan
Curated OER

Symmetry

For Teachers 4th - 6th
Students make a design with pattern blocks and then pass them on to the rest of the class. They have to make them symmetrical and complete the design.
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Assessment
Mathematics Assessment Project

Octagon Tile

For Teachers 6th - 8th Standards
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....
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Activity
Noyce Foundation

The Shape of Things

For Students K - 12th Standards
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...
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Assessment
Bowland

Three of a Kind

For Teachers 6th - 9th
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.
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Lesson Plan
Curated OER

Geometry and Symmetry

For Teachers 4th - 6th
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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Learning
School Mathematics Project

Resource Sheets

For Students 4th - 8th Standards
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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Lesson Plan
Curated OER

Math: Shapes and More Shapes

For Teachers 6th - 8th
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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Lesson Plan
Curated OER

THE MEAN INDEX CARD

For Teachers 6th - 8th
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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Lesson Plan
Curated OER

Clay Tile: Art Deco Style

For Teachers 6th - 12th
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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Lesson Plan
Curated OER

Old Glory

For Teachers 6th - 8th
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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Lesson Plan
Curated OER

Tantalizing Tangrams: What Are Transformations?

For Teachers 4th - 6th
Students use the Internet to learn about transformations and tessellations.  In this geometry lesson, students use the Internet to define the meaning of reflections, translations, rotations, glide reflection and symmetry.  Students...
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Lesson Plan
Curated OER

Geometrically Artistic/Artistically Geomtric

For Teachers 2nd - 8th
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...