Pennsylvania Department of Education
Creating Polygons
Students describe, make and compare polygons. In this creating polygons activity, students identify properties of quadrilaterals and describe common features of two dimensional shapes.
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Who Am I? (Middle School)
Third graders complete a classroom game used to build understanding of two and three-dimensional shapes. Diagonals, sides, regularity, congruency, angle measurements, parallels, perpendicular, faces, and edges are a few of the vocabulary...
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Cut, Construct and Think 3
Students identify and create shapes. In this geometric shapes lesson, students identify various polygons and try to create new shapes using existing polygons.
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Cut, Construct and Think - 4
Students identify polygons. In this geometric shapes lesson, students identify and describe polygons. Students create new shapes out of the shapes they are given.
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Pattern Block Fractions
Fourth graders participate in a lesson that is about the finding of different fractional sizes with the help of pattern blocks. They define the vocabulary terms of numerator and denominator. The lesson also uses geometry and relates it...
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Area and Perimeter
Learners find the area and perimeter of regular polygons and composite figures and examine the effect on the area and perimeter of a figure if the dimensions are multiplied by a constant. The nine page worksheet contains thirty-seven...
PBS
Using Symmetry to Create Corporate Logos
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...
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Perimeter, Area, Volume, and Surface Area
For this geometry worksheet students solve problems involving perimeter, area, volume, and surface area for various geometric shapes. The four page worksheet contains twenty-five problems. Answers key is provided.
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Symmetry and Symbols
Students identify symmetrical and congruent elements in folk art. For this art and geometry lesson, students examine pictures of Masonic Plaque in the Form of a Royal Arch Tracing Board for evidence of congruent and symmetrical elements....
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Polygons Defined
Fourth graders explore polygons. In this polygon instructional activity, 4th graders sort polygons according to their properties. Students discover the connection between polygons and the Greek language.
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A Snap at Geometry
Students study geometric images and polyhedrons. In this geometry lesson, students complete several activities to learn about geometric shapes and classify polyhedrons from polygons. Students watch a video, complete a web-directed...
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Congruent Figures
In this congruent figures worksheet, students apply their math skills as they respond to 4 questions that require them to select shapes that are congruent to the 4 given shapes.
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Interactivate - Lines, Rays, Line Segments, and Planes
Students explore lines, rays, line segments, and planes. In this math lesson, students discuss the math concepts and direct their instructor in graphing functions. Students collaborate in graphing additional functions.
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Connecting Formulas Related to Geometric Figures
Students identify diagrams of quadrilaterals and circles by different names and classify the figures. They name the areas for each diagram and practice solving the formulas for each.
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Investigation-Looking at Polygons
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
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Area of Polygons
Students engage in a lesson that is about the concept of polygons and focuses upon finding the area. They use formulas provided in the lesson in order to solve problems given by the teacher for independent practice. Geometric figures are...
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Math-Geometry: Area and Perimeter
Upper graders measure the area and perimeter of several items. In this area and perimeter lesson, learners engage in measuring area and perimeter in several scenarios. Full-group instruction requires students to listen to instruction and...
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Geometry: Plane Figures
In this plane figure learning exercise, students complete 4 multiple choice questions, determining which solid figure can be traced to make a given plane figure. A reference web site is given for additional activities.
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Geometry Regents Questions: Isosceles Triangle Theorem
In this isosceles triangle worksheet, students solve 19 multiple choice and short answer problems. Students use the isosceles triangle theorem to determine unknown angle measures.
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Napolean Triangle
Students investigate the Napoleon triangle theory. In this polygon lesson, students differentiate between the boundary points, interior and lattice point of a polygon. They apply concepts of equilateral triangles to solve...
Illustrative Mathematics
Comparing Snow Cones
Everyone wants to have the biggest snow cone possible, so would that be in cone-shaped cup or a more cylinder-style cup? Hungry geometry juniors compute the volume of each in this practical task.
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Regents Exam Questions G.G.9: Planes
In this planes activity, students solve 3 short answer problems. Students determine a true statement given lines perpendicular to a plane.
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Sum of Interior Angles
For this sum of interior angles worksheet, 10th graders solve 10 different problems that are related to determining the sum of various interior angles in figures. First, they determine the sum of the interior angles of a dodecagon. Then,...
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Rotational Symmetry
In this rotational symmetry worksheet, 10th graders identify and compare 10 different figures illustrated on the sheet. They write the order of rotational symmetry seen in each figure as compared to the others. They also define an object...