Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
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Lines of Symmetry
Fourth graders identify lines of symmetry using reflections and then construct figures that have one or more lines of symmetry. In this symmetry lesson plan, 4th graders use sets of shapes, pattern blocks, a mirror, and more.
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Dihedral Figures
Middle and high schoolers perform transformations. For 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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Transformations
How does something go from here to there? Describe it with a transformation. Young mathematicians learn how to translate, reflect, rotate, and dilate an image.
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Geometry Exam
In this reflections and symmetry worksheet, students draw lines of symmetry in shapes and patterns and reflect letters over lines in graphs. Students complete 20 problems.
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Turn Symmetry
Fourth graders observe geometric patterns to determine if they show rotational or point symmetry. They participate in the a demonstration lesson with a triangle. They create their own designs that show rotational or point symmetry.
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Partitioning a Hexagon
The task at hand is to partition a hexagon into two, four, and eight congruent figures. Make sure to give your wizards a sheet of triangle grid paper on which to decompose the hexagons. Have them explain which rotations, reflections, or...
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Reflections
In this reflections learning exercise, 10th graders solve and complete 34 different problems that include determining various reflections. First, they trace the figure and draw its reflection in each line. Then, 10th graders use the...
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Symmetries in Quadrilateral Tilings
Students analyze symmetries of quadrilateral tilings and discover how various types of symmetries, used alone or in combination, can generate the same pattern in more than one way.
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The Geometry of Indigenous Art
Learners examine the concepts of symmetry, rotations, reflections, translation, dialations, and tessellations and apply them to indigenous art. They also do Internet research and create artwork (painting, pottery, computer graphic design).
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Translations, Reflections, and Rotations
High schoolers are introduced to the concepts of translation, reflection, and rotation. They practice translating, reflecting, and rotating two-dimensional objects on the coordinate plane. students use computers to learn about the three...
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Forty Mental Math Angle Problems
In this angle worksheet, students answer forty mental math questions divided into four problem sets. These problems require students to remember angle facts and so simple calculations mentally.
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Symmetries of Rectangles
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
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Math/Technology: Symmetry
Fourth graders, using KidPix, use stamps and pencil tools to illustrate which pictures have symmetry. They add text boxes to explain their answers in math terms. Students practice skills in rotation, reflection, and translation on an...
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Math Lab
In this polygons and angles worksheet, 10th graders complete 5 different questions related to polygons and angles, in addition to symmetry and transformations. First, they define polygon and how they are named. Then, students define...
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Everything You Wanted to Know About Symmetry
Second graders, in groups, rotate through four workstations that reinforce the concept of symmetry. They spend about fifteen minutes at each workstation.
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Science and Math Lab (Students Look at Symmetry in Nature)
Students study patterns. In this symmetry in nature lesson, students examine objects to determine what type of symmetry they have. They work in small groups to rotate through stations that have objects for them to study.
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Lines of Symmetry
Fourth graders demonstrate lines of symmetry using polygons, pentominoes, and block letters of the alphabet. They describe, identify, and analyze characteristics and properties of geometric shapes.
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Investigate the Rigid Motions of Reflection, Rotation, Translation, and Dilation
Students investigate the rigid motions of reflection, rotation, translation, and dilation. This investigation be accomplished through classroom instruction and exploration using Geometer's Sketchpad.
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Symmetry Worksheet V
In this symmetry activity, students view and draw border patterns and answer short answer questions about it. Students complete 3 activities.
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Symmetry All Around
Learners explore geometry by creating a quilt square. For this symmetry lesson, students identify a list of items, designs, insects and animals which have either rotational or line symmetry. Learners investigate symmetrical designs on...
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Polynominoes
In this polynominoes worksheet, students solve 9 different types of polynominoes problems. First, they identify that a polynominoe is a polygon made from squares of the same size and connected to each square. Then, students determine how...
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Lines of Symmetry
In this lines of symmetry instructional activity, 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.
Virginia Department of Education
High School Mathematics Geometry Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a...