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Introduction to Fractals: Infinity, Self-Similarity and Recursion.
This lesson introduces high schoolers to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
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Tangram Geometry
Students listen to a story involving Tangram pieces. Students use Tangram pieces to complete shapes using an outline of a design.
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Exploring Characteristics Needed to Prove Two Trianlges Congruent
Tenth graders explore congruent triangles. In this geometry lesson plan, 10th graders investigate the conditions necessary to prove two triangles congruent. The lesson plan combines dry erase board activities and the use of...
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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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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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Surveying our First President
Young scholars act as surveyors. For this George Washington lesson, students read transcriptions from Washington's surveying journal and then try surveying skills on their own.
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Geometry: Cut, Construct, Think
Students identify the properties of polygons. In this geometry instructional activity, students cut out shapes try to construct polygons. Students analyze the shapes and fill out a table of characteristics.
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Why is this lesson constructivist?
Students formulate a definition of tessellations by comparing and contrasting different patterns and shapes of real objects. They discuss the relatioship between shapes and patterns as well as their function in the real world. Students...
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Symmetry in Paper Airplanes
Students explore symmetry. For this geometry and scientific inquiry lesson, students design paper airplanes with middle line symmetry, as well as right, obtuse, and acute angles. Students measure the plane's angles using a...
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Does the Area of the Quadrilateral Change?
Students study area and quadrilaterals. In this multiplication and area lesson, students use Polystrip models to change rectangles to form different parallelograms. Students find the area of the models use a Geometer Sketchpad to find...
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Integrated Resource Management
Students identify and analyze the concept of integrated resource management. Then they identify the importance of computers in manufacturing management. Students also identify and define the meaning of acronyms such as CAD, CAM, CIM,...
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Visual Patterns in Tessellations
Students explore tessellations as well as various types of polygon. Students examine tessellating patterns in the world around them. Students examine tessellations by creating their own tessellations and completing the included worksheet.
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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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Fractals and the Chaos Game
Students explore the concept of fractals. In this fractals lesson, students play the "Chaos Game" via an applet. Students place dots on the screen to recognize that they have created Sierpinski's Triangle.
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Area of Triangle using the Semi-Perimeter and Radius
Students investigate the properties of circles. In this geometry lesson plan, students calculate the area and perimeter of a triangle. They identify the perimeter and radius length of a circle.
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Geometry Gymnastics
Students identify shapes and manipulate 2 and 3 dimensional objects. They view objects from different perspectives and review relative positions (near, far, between). They sing a shape song.
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Finding The Area Of Shapes
Fourth graders investigate the concept of computing the area using different shapes. They use prior knowledge in order to devise a formula for a parallelogram. Scaffolding is provided by the teacher to find the formula of area for...
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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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The Mandelbrot Set
Learners explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Learners use Julia set and Mandelbrot set...
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Worksheet 17
In this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
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Geometry, Measurement & Reasoning
Students complete worksheets involving rotational symmetry. For this geometry lesson, students complete worksheets to identify rotational symmetry and rotations. They compare and contrast rotated figures. Students examine the...
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How Tall Is That Flag Pole?
Students examine various triangles and discuss how similar triangles have sides that are proportional. They utilize an ancient Egyptian method to determine the height of a flagpole.
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Sled Kite
Students make and fly a sled kite out of plastic garbage bags, dowel rods, and more. For this kite lesson plan, students plan the kite to have symmetry and make adjustments as they test it.
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Translations, Reflections, and Rotations
High schoolers 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...