Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this...
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Volume of a Cylinder
Middle and high schoolers calculate the volume of cylinders. They measure the height, radius and diameter of cylinders. Following given formulas, students calculate the area and volume of the cylinder. They compare cylinders and predict...
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Circumscribing a Circle About a Triangle
Pupils circumscribe a circle about a triangle. They construct a triangle using Cabri Jr and then circumscribe it. They then use knowledge of perpendicular bisectors and circumcenters to locate the center of the circle and then...
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Midpoint of a Segment
Learners revisit midpoint and segments by graphing on the TI or computer. This activity can be done with pencil and paper, but is more interactive if it is done on a TI-navigator.
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Teaching Polygons using Technology
Third graders utilize different types of computer programs, such as Microsoft paint and Microsoft Word to study and create different types of polygons. They use PowerPoint to create a story about a shape and others that it meets during a...
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Lines, Rays, Line Segments, and Planes
Students are introduced to lines, rays, line segments and planes and study the differences between them. They also practice graphing lines, rays, line segments and planes
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Surface Area and Volume
Students are introduced to the notion of surface area and volume, learn the terminology used with surface area and volume and have experimented with the surface area and volume of different prisms.
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Minimum and Maximum Perimeter
Pupils practice a variety of strategies with varying numbers of tiles to form shapes and then find the minimum and maximum perimeter for each one. Each group is assigned a different area to build either with square tiles or a geoboard....
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Measuring Angles
Identifying and measuring angles with a protractor can provide a fun way for students to learn this mathematical concept.
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Tiling the Plane
Fifth graders use pattern blocks and triagular grid paper to reivew shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked if they comprehend what a...
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Can You Measure This?
Fifth graders design their own house, while also using problem-solving skills involving perimeter and area. They exchange houses with a partner and find the perimeter and area of the window, doors, and front side of the house.
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Surface Area and Volume
Middle schoolers are introduced to the notion of surface area and volume. Students review surface area and volume by finding the area of a two-dimensional shape. They practice using the computer to create different surface area shapes.
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Investigating Nets and Polyhedra
Fifth graders create a net for a given polyhedron. They determine the corresponding polyhedron for a given net. Students investigate several polyhedra (cube, tetrahedron, and one of their choosing) and their corresponding nets. They...
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Poems Have Shapes, Too!
Students explore the world of geometric shapes by writing poetry. They use the Diamante Poetry worksheet. They select one geometric shape and, using the template, create their own poem.
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Tetrominoes Cover-Up
Third graders compare and contrast the attributes of two-dimensional shapes. Using a tetrominoes game, they create two-dimensional shapes to cover up a game board. At the conclusion of the game, 3rd graders discuss the patterns they...
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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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Sculpture Shapes
Students reconstruct an ancient Greek sculpture using various geometric forms and explore different geometric forms. They create an abstract human form out of geometric shapes and create other representations out of the same shapes.
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Using My Nasa Data To Determine Volcanic Activity
Students use NASA satellite data of optical depth as a tool to determine volcanic activity on Reunion Island during 2000-2001. They access the data and utilize Excel to create a graph that has optical depth as a function of time for the...
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Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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Properties of Fractals
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
CK-12 Foundation
Ck 12: Geometry: Dilation in the Coordinate Plane
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to draw dilated figures in the coordinate plane and use dilated figures in the coordinate plane to find scale factors. Students...
CK-12 Foundation
Ck 12: Geometry: Polygon Classification in the Coordinate Plane
[Free Registration/Login may be required to access all resource tools.] Graph geometric figures given the ordered pairs of vertices.
CK-12 Foundation
Ck 12: Geometry: Cross Sections and Nets
[Free Registration/Login may be required to access all resource tools.] In this lesson students draw two-dimensional representations of solid figures. Students examine guided notes, review guided practice, watch instructional videos and...