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Symmetrical Snowflakes
First graders, exploring lines of symmetry, follow directions to create a symmetrical snowflake from their own homemade icing. As a class, they discuss lines of symmetry and determine if specific shapes are symmetrical. After the lesson,...
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Three Dimensional Sketching
Students become familiar with drawing segments and points. They understand how perspective drawing differs from three dimensional sketching. They demonstrate three dimensional and perspective drawing.
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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Property Lists for Quadrilaterals
Students establish classifications of shapes by various properties (angles, sides, etc.). They introduce the important properties of common shapes. Students develop an awareness of the wide variety of ways the 2-D shapes can be alike.
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Tessellations with Regular Polygons
Show your learners how to create tessellations using different polygons. This is achieved by having students make observations of polygons to find the ones that will tessellate.
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Introduction to Fractals: Geometric Fractals
Learners 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. Learners complete worksheets based on Geometric Fractals.
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Tantalizing Tessellations Lesson III: Creating a Slide Translation
Middle schoolers explore tessellations and the artwork of M.C. Escher. They view and discuss a video about M.C. Escher, create a slide template out of cardboard, and create a poster with their tessellation pattern.
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Translations, Reflections and Rotations
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
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Scaled Rubber Band Drawings
Learners demonstrate the process of creating a scaled rubber band enlargement of a simple drawing. They observe and discuss a teacher-led demonstration, and create a scaled rubber band enlargement of simple drawings and their invention...
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Rep Tiles
Third graders use pattern blocks of one shape at a time to try to create a similar shape. They compare the perimeter of the new figure with the perimeter of the original shape and look for a pattern. Students use the pattern to predict...
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Investigate the Rigid Motions of Reflection, Rotation, Translation, and Dilation
Pupils investigate the rigid motions of reflection, rotation, translation, and dilation. This investigation be accomplished through classroom instruction and exploration using Geometer's Sketchpad.
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Introduction to Fractals: Infinity, Self-Similarity and Recursion
High schoolers think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is...
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Translations, Reflections, and Rotations
Students are introduced to the concepts of translation, reflection, and rotation. They practice translating, reflecting, and rotating two-dimensional objects on the coordinate plane. students use computers to learn about the three concepts.
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Translations, Reflections, and Rotations
Tenth graders have been introduced to the concepts of translation, reflection, and rotation, and have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.
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Reflections
Fifth graders create a reflection of a poygon using a Mira. They discover that a line connecting a vertiex of a polygon and the corresponding vertex of its reflection is perpendicular to the line of reflection. Students create a glide...
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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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African Ceremonial Masks
Fourth graders examine and discuss the purposes and traditions of African ceremonial masks. They design and create African ceremonial masks using various materials.
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Making Shapes
Tenth graders construct geometric figures using compasses and protractors.
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Drawing Lines of Symmetry
Third graders explore the concept of symmetry using geometric shapes, capital letters and various other shapes. They fold shapes to show symmetry, draw lines of symmetry and create symmetrical designs.
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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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Tantalizing Tessellations - Lesson I
Students complete a chart (KWL) as a pre-assessment, study the history of tessellations (tilings), investigate the properties of tessellations, and make and evaluate photographs of "found tessellations" for a PowerPoint/HyperStudio...
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Angle Pairs
High schoolers practice identifying right, vertical, and adjacent angles using a Smartboard. They then determine measurements of all of the angles when only one measurement is given.
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Pythagorean Theorem Proof
Tenth graders investigate the Pythagorean Theorem. Then they type up a formal paragraph proof of a proof of their choice.