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Geometry: Cut, Construct, Think
Learners identify the properties of polygons. In this geometry lesson, students cut out shapes try to construct polygons. Learners 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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Rectangles and Parallelograms
Young scholars compare parallelograms and rectangles. In this comparing parallelograms and rectangles lesson, students make a chart to compare parallelograms and rectangles. Young scholars are given set of quadrilaterals and they must...
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Symmetry in Paper Airplanes
Young scholars 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. Young scholars 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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Visual Patterns in Tessellations
Young scholars explore tessellations as well as various types of polygon. Students examine tessellating patterns in the world around them. Young scholars examine tessellations by creating their own tessellations and completing the...
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Introduction to Fractals: Infinity, Self-Similarity and Recursion
Young scholars 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 plan, 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, 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
Students 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. Students 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. In this geometry lesson, students complete worksheets to identify rotational symmetry and rotations. They compare and contrast rotated figures. Students examine the relationship...
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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. In 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
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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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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Terrific Tessellations
Pupils explore tessellations that are found in nature and everyday objects. They observe the works of M.C. Escher. Students create their own tessellations using pencil and paper.
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Euler Characteristic
Pupils identify the different properties of Euler's Characteristics. In this geometry lesson, students identify the shape and surface a polygon. They relate the concept of Euler to solving real world problems.
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Architecture And Math
Students investigate the ties that architecture and math have in common. They focus on works of architecture in the world that is considered of great significance. Students use the internet to find building images from around the world....
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Constructing Tangrams
Sixth graders are introduced to how geometry and algebra are related. In groups, they graph various points on a coordinate plane and write the ordered pair for each quadrant. Using this information, they create their own tangrams to...