Pennsylvania Department of Education
Rotational Symmetry of Polygons and Other Figures
Students explore geometry by participating in a shape rotation experiment. In this symmetry instructional activity, students identify the term symmetry and a list of other geometry vocabulary. Students analyze shapes as they are turned...
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Cut, Construct and Think 4
In this geometry activity activity, students cut a 6x6 according to the directions and construct the 4 listed shapes from the pieces. Students also respond to 5 questions that require them record details regarding the 5 listed shapes.
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Islamic Patterns
In this geometry and religion activity, students examine a black line picture of an Islamic pattern before identifying the shapes in the pattern. They color the pattern by following the directions given at the bottom of the page.
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Lesson Exchange: Polygons (Middle, Mathematics)
Students discover the relationship between the sides of a polygon and the number of diagonals that can be drawn from one vertex, the number of triangles that those diagonals form, and the sum of the interior angles of that polygon.
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Polygon Perimeters
Students define the terms polygon and perimeter to begin the lesson. Using a calculator, they practice determining the perimeter of various symbols in a painting. They discuss how geometry and art are related to one another.
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Polygon Perimeters
Young scholars complete worksheets where they calculate the perimeter of polygons. In this perimeter of polygons lesson plan, students divide complex shapes into simple shapes to find the perimeter.
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Stained Glass Polygons
Pupils follow directions to make a stained glass window design of regular and irregular polygons with specific geometric elements. In this geometry lesson plan, students also analyze other classmate's designs.
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Classify and Identify Polygons
In this polygon worksheet, middle schoolers observe pictures of polygons and identify their proper name. They read descriptions of polygons and determine the polygon described. This one-page worksheet contains ten problems.
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Angles, Parallel Lines, and Polygons
Young scholars examine how to investigate polygons using an instrument of their own construction. They should be able to prove the general formula for the number of degrees in any polygon (including a triangle). Finally they investigate...
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Graph Paper Patterns
Young artists divide a piece of graph paper into sections using rectangles, squares, and triangles. They then fill each section with patterns of shape and color. Elementary graders describe how their patterns are organized. Secondary...
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2-D Polygons
Students investigate the concept of two dimensional polygons. They complete a vocabulary chart with the teacher or in independently. Students are shown various polygons in order to classify them and then asked to draw one of them from...
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Angling Your Way Through a Picture
Students look at the geometry in an artwork. In this art history/geometry lesson, students research the artist Charles Sheeler and look at his painting Stacks in Celebration. They find the different types of lines, angles, and...
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Circles - Word Problems
In this geometry problem solving worksheet, students answer 8 words problems based on their knowledge of circles, circumference, radius, diameter, and perimeters. They show their work on the sheet between problems.
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Archeologist Frieze Patterns
Learners construct frieze patterns using translations and rotations. They will discuss how frieze patterns are similar to jigsaw puzzles and use Cabri Jr. to build a triangle frieze pattern using rotations, translations, and reflections.
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Introduction to Fractals: Geometric Fractals
Middle schoolers study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Middle schoolers complete worksheets based on...
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Finding Perimeter and Area
In this area and perimeter worksheet, students are given the equations to find the perimeter and area of objects. They practice finding the perimeter by measuring the sides of given objects and adding them together. They find the area of...
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Paper Towel Structure
Learners investigate technology and its purpose in the workplace. In this geometry lesson plan, students design and build a paper towel structure to investigate motion and forces. They are given a restricted weight and asked to build...
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Measurements of Unknown Angles
In this geometry skills practice worksheet, students respond to 9 questions that require them to calculate the measurements of the unknown angles.
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Identify Angles
In this angles practice worksheet, students respond to 4 questions that require them to identify the pictured angles as acute, right, or obtuse triangles.
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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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Cut, Construct and Think - 6
Students identify polygons and calculate perimeter. In this geometric shapes lesson, students complete a worksheet identifying various polygons and calculating the perimeter of triangles and quadrilaterals.
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Geometry and Symmetry
Pupils examine tessellations and their geometric properties. The instructional 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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Christmas Tree Angles
In 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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Tessellations
Young scholars 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.