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Pennsylvania Department of Education
Rotational Symmetry of Polygons and Other Figures
Students explore geometry by participating in a shape rotation experiment. In 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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It's a 3-D World Out There!
Learners construct polygons. They identify attributes of three-dimensional shapes. Students name common three-dimensional shapes. They draw three-dimensional shapes, and sort three-dimensional shapes. Learners use K'NEX materials sets to...
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Tessellations
Students identify shapes that will tessellate. They construct a tessellation using transformations. Students identify transformations in tessellations. They identify applications of transformations such as tiling and fabric design.
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Math Quilts
Students examine geometric shapes. In this geometric shape lesson plan, students examine how geometric shapes flip, turn, and slide to create a pattern. Students analyze the role that quilts played in helping slaves escape to freedom. ...
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Christmas Tree Angles
For this angles worksheet, students measure angles to make triangles and cut them out to make a Christmas tree. Students draw and cut 5 triangles to make their tree.
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Sled Kites and Trigonometry
Students study the history of kites and their fundamental properties. For this kites lesson students divide into teams and build and fly kites.
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Pyramids with Basic Bases
Learners explore pyramids. In this math lesson, students discuss where they have seen examples of pyramids. Learners classify pyramids as three-dimensional figures and identify their attributes.
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Shapes and Patterns- Kaleidoscope
Third graders create art using shapes. In this shapes and patterns lesson plan, 3rd graders explore multiple ways of combining shapes to create new objects and art.
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Tessellations
Young scholars form repeating patterns using tessellations. In this tessellations instructional activity, students identify shapes and illustrate three types of transformations. A website is included with the instructional activity which...
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Snuggle Up To Pattern Blocks
Students view and discuss a video about the use of pattern block shapes to form pictures. They, in groups, form garden and quilt designs using pattern blocks and then decorate the room with their art.
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Cubic Unit Models
Fourth graders find the volume of solids. In groups, 4th graders use spinners to determine the dimensions of solids. They construct the shapes, creating a model of the figure Students count the cubes in the model to determine the...
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Collecting the Rays
Students investigate the affect shape has on the ability of a solar panel to collect sunlight. In this collecting sunlight using a solar panel lesson, students determine which solar panel shape collects the most sunlight. ...
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Grandfather Tang's Story
Students construct tangram patters. In this geometry lesson, students read the book Grandfather Tang's Story and visit various websites to practice covering figures with tangrams. Students attempt to construct animal shapes using puzzles.
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A Lesson on the Root Spiral
Students create lines and shapes with a compass and a straight edge. In this geometry instructional activity, students investigate square roots, irrational numbers and spirals. They explore nature to see the shapes representing...
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Platonic Solids
Students identify different types of polygons. In this geometry lesson plan, students differentiate between convex and regular shapes. they identify the names of two and three-dimensional objects.
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Tantalizing Tangrams
Students construct a set of tangrams. In this geometry lesson, students read the book, Grandfather Tang's Story and retell the story using tangrams. Students construct their own set of tangrams using the included worksheets.
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What You See Is Not Always What You Get!
Students estimate and calculate the distance of a shape. In this algebra lesson, students differentiate between a horizontal distance and it's reflected image. They measure the reflection and the point starting at the eye of the observer.
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Polygon Necklaces
Students explore geometry by creating jewelry in class. In this polygons lesson, students identify different shapes and characteristics while creating polygon figures from construction paper. Students utilize a multitude of shapes...
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Tessellations
In this tessellations worksheet, 10th graders complete 6 different problems that include constructing various tessellations. First, they show how to tessellate a plane with a square and then, a rectangle to tessellate the same plane....
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Transformations
Students explore the concept of transformations. In this transformations lesson, students use Geometer's Sketchpad to construct cyclic and dihedral figures. Students study reflection and rotation symmetry. Students discuss vertical,...
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Comparing Exponential and Power Functions
Students compare and contrast exponential and power functions. In this precalculus lesson plan, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base of less than one.
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Pythagorean Theorem and Problem Solving
Students use the Pythagorean Theorem to solve problems. In this geometry instructional activity, students identify the properties of a right triangle. They find the missing side and angles of a right triangle.
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ART- LANGUAGE OF SYMBOLS
Young scholars discuss how color construct meaning in art. They will demonstrate a technical knowledge and creative use of formal elements and principals of design. Students then discuss the way their selection of color contributed to...
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Symmetrical Designs with Pretzels and Marshmallows
Fifth graders create designs that have lines of symmetry using pretzel and marshmallows. In this symmetry design lesson, 5th graders work in groups using graph paper, rulers, and toothpicks to plan their own lines of symmetry design....