Curated OER
Pop-it...Stop-it
Young scholars observe how certain geometric shapes can be used to make some structures rigid and others flexible. The activity involves construction of a 30-60 right triangle, folding while following directions, and identifying polygons.
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Measurement: Cylinders
Math scholars observe and demonstrate how to calculate the surface area and volume of cylinders. They analyze pictures of various cylinders on a handout, solve problems on two worksheets independently, and discuss the answers to the...
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Prisms, Pyramids, and Nets
Students compare and contrast the characteristics of prisms and pyramids. In groups, they are given different colored construction paper to make rectanglar prisms. They identify the shapes of the faces and record the number of faces,...
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Countdown Challenge: Platonic Solids - Part I
Use a Platonic solids worksheet to record the number of faces, edges, and vertices of five polyhedra whose faces, edges, and vertices are all identical. For each figure, learners write a proof of Euler's formula (F+V=E+2). They create a...
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Shapes from Shapes
Geometric shapes are really cool. Examine triangles, quadrilaterals, trapezoids, rhombuses, parallelograms, pentagons, and hexagons with your class. They draw large shapes and small shapes then compare them to understand their shapely...
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Solids...Volume and Surface Area
In this volume and surface area worksheet, students find the volume and surface area of different solid figures. Students complete 8 problems.
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Different Dice
For this different dice worksheet, 9th graders read about the use of octahedrons as dice, review the probability with cubical dice, then answer the question of probability when rolling 2 octahedral dice.
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Polyhedra
Learners analyze convex polyhedra through hands on methods. In this geometrical shapes lesson, students construct paper models of convex polyhedra and identify the different properties including the number of sides, faces and edges.
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Pass it On
Young scholars participate in a class activity to help them master geometric terms and their definitions.
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Geometry and Tony Smith Sculpture
Students respond to Tony Smith's sculpture as art and brainstorm about math concepts inherent in his work. They create a sculpture with polyhedra nets, calculate the cost of covering sculpture in gold, and write an exhibit label for...
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Volume and Surface Area of Polyhedrea
In this volume and surface area worksheet, learners use given formulas to determine the volume and area of polyhedrea. This four-page worksheet contains examples, explanations and 32 problems. Answers are provided on the fourth page.
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Pyramids and Prisms: Guler's Formula
Sixth graders detect and categorize the attributes of geometric shapes to solve problems. In this geometry lesson, 6th graders construct a variety of polyhedra. Students recognize the relationships between two dimensional and three...
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Regular Polyhedra
Tenth graders investigate the history of geometry and its different shapes. In this geometry lesson, 10th graders practice seeing three dimensional shapes and explain why there are only five polyhedra. They relate all the new materials...
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Polydron Fun
Students investigate nets as they relate to volume and area. In this geometry lesson, students use nets as a visual to deepen their understanding of surface area and volume of objects. They make conjectures about different objects and...
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Happy Birthday Mathematicians and Me
Middle schoolers choose a mathematician or scientist born on the same day as the student and research them. They create a cube or tetrahedron and place required information on the sides (such as birth year, death yr., greatest...
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Crackin' the Musical Code
Young scholars decode musical notation and then synthesize and apply by notating their own musical composition. Students draw various rhythmic examples which are equal in time duration. They notate and count rhythmic patterns. Additional...
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Shapes with Sticks
Third graders investigate three dimensional shapes. They examine a variety of shapes and the relationship between the number of faces, edges, and vertices. Students determine Euler's formula and they create a variety of three dimensional...
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Polyhedra Book
In this math worksheet, learners are asked to read the book that focuses upon the creation and explanation of three dimensional shapes.
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Spatial Relations - Week 9
In this spatial relations worksheet, students solve three-dimensional problems. They find the total number of triangles in a given figure, the number of line segments that endpoints and use integer points to solve two problems. This...
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Spatial Relations - Week 9
In this spatial relations worksheet, young scholars identify the number of triangles in a given figure, identify the number of cubes that a plane intersects, and determine the number of line segments in a given cube. This three-page...
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Folding to Make Shapes
Second graders identify different polygons and their attributes. In this geometry lesson, 2nd graders get to know polygons by studying the vocabulary and finding polygons in their classroom. They create these shapes and then find their...
Pennsylvania Department of Education
Euler's Formula
Young scholars explore geometry by defining a list of vocabulary terms. In this shape characteristics lesson, students identify a number of different shapes and discuss the amount of edges, vertices, and faces using the Euler formula....
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It's a Ball, It's a Sphere ... No, It's a Dodecahedron
Third graders construct a dodecahedron that displays facts about two and three-dimensional figures. They use a pattern to construct a dodecahedron after writing facts about geometry onto each of the figure's twelve faces.
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Geo Jammin' - Day 3, Lesson 11: Poly Doodles All Day
Students explore geometric vocabulary through creation of shapes on a geoboard. They present design attributes, transfer of design, and color-coding components mix to create a fun and exciting lesson that stretches student thinking.
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