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Worksheet
Curated OER

Symmetry: Reflections

For Students 7th - 9th
In this symmetry worksheet, learners reflect a series of figures over given lines and rotate figures around given points as indicated.
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Lesson Plan
Virginia Department of Education

Quadratic Modeling

For Teachers 10th - 12th Standards
Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....
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Lesson Plan
Curated OER

Transforming Triangles

For Teachers 6th
Sixth graders graph translations (slides) and reflections (flips) on a coordinate plane. They visualize and identify geometric shapes after applying transformations on a coordinate plane. Finally, 6th graders write a paragraph telling...
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Lesson Plan
Pennsylvania Department of Education

Length and Perimeter

For Teachers 3rd
Third graders explore tessellations and the spatial concepts used in creating them.  For this tessellations lesson, 3rd graders rotate, reflect and transform shapes to create tessellations.  Students become familiar with the vocabulary...
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Lesson Plan
Curated OER

Clay Tile: Art Deco Style

For Teachers 6th - 12th
Students 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

Geometry Journal: Isosceles Triangles

For Teachers 10th - 12th
In this isosceles triangles worksheet, students justify and determine the symmetry of an isosceles triangle. They explore the bisector of rectangles. This three-page worksheet contains two problems. Answers are listed on page three.
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Lesson Plan
Curated OER

Symmetry: Theory, Reality and Art!

For Teachers 9th - 10th
Students explore the concept of geometric symmetry. In this geometric symmetry lesson, students walk around their school and take pictures of objects that demonstrate symmetry. Students use Microsoft Paint to draw the lines of symmetry...
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Lesson Plan
Curated OER

Geometry and Symmetry

For Teachers 4th - 6th
Students examine tessellations and their geometric properties. The lesson plan 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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Worksheet
Curated OER

Reflection, Translation and Rotation

For Students 4th - 6th
In this reflection, translation and rotation worksheet, students determine which of these things have been done to s set of figures. A reference web site is given for additional activities.
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Worksheet
Curated OER

Reflection, Rotation or Translation?

For Students 4th - 6th
In this reflection, rotation and translation worksheet, students determine which has been done to a set of 6 figures. A reference web site is given for additional activities.
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Lesson Plan
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Curated OER

Reflecting a Rectangle Over a Diagonal

For Teachers 7th - 9th Standards
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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Lesson Plan
Curated OER

Symmetry In Nature

For Teachers 6th - 12th
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...
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Worksheet
Curated OER

Congruence Statements

For Students 10th
In this congruence statements worksheet, 10th graders solve and complete 16 various types of problems. First, they complete each congruence statement listed. Then, students graph each set of points on the coordinate plane provided. They...
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Lesson Plan
EngageNY

Properties of Trigonometric Functions

For Teachers 11th - 12th Standards
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...
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Lesson Plan
Shodor Education Foundation

Visual Patterns in Tessellations

For Teachers 7th - 10th Standards
Geometers explore the concept of tessellations. They use a tessellation applet to manipulate shapes and design their own tessellation using the applet.
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Lesson Plan
Bowland

Pointzero: Confined

For Teachers 6th - 8th Standards
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes slides and...
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Lesson Plan
Curated OER

Transformational Geometry Using the Geometer's Sketchpad

For Teachers 6th - 8th
Students complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a quadrilateral...
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Lesson Plan
Curated OER

Transformations

For Teachers 9th - 11th
Several practice exercises suitable for any geometry class working on transformation, symmetry, and tessellation -- especially visual representations of image translation, rotation, and reflection, symmetry, tessellations and tangrams --...
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Lesson Plan
Curated OER

Transformations Using the Geometer's Sketchpad

For Teachers 8th - 9th
Students discover rules for single transformations, rules for composition of transformations, when a figure has transformation symmetry, and if a transformation is congruent to its preimage.
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Worksheet
Curated OER

Transformations on the Coordinate Plane

For Students 7th - 10th Standards
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
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Lesson Plan
Curated OER

Punch Patterns

For Teachers 5th
Fifth graders duplicate patterns, guess pattern results and identify the symmetries created. They are given an instructional handout, 5th graders replicate the patterns demonstrated by folding the paper and punching the appropriate...
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Lesson Plan
Curated OER

Design Explorations: Frieze Patterns

For Teachers 6th - 8th
Students will explore frieze patterns. A frieze pattern is a mathematical concept to classify designs on two-dimensional surfaces, which are repetitive in one direction, based on the symmetries in the pattern. They will explore examples...
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Lesson Plan
Curated OER

Transformation

For Teachers 3rd
Third graders investigate symmetry by reflecting objects in different angles. In this geometrical transformation lesson, 3rd graders define the terms translation, rotation and reflection in order to physically turn geometric...
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Worksheet
Curated OER

Frieze Patterns

For Students Higher Ed
In this frieze pattern worksheet, students draw frieze patterns that can be constructed from a given motif. They perform translations, glide reflections, horizontal and vertical reflections and 180 degree rotations. This one-page...