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Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Polygons
This lesson focuses on polygons; a polygon is a closed, flat shape that has only straight sides. Polygons can have any number of sides and angles, but the sides cannot be curved.
Math Open Reference
Math Open Reference: Interior Angles of a Polygon
Learn about interior angles of a polygon with this handy reference guide. Provides a detailed definition, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Palomar Community College District
Palomar College: Relative Frequency Polygon
A step-by-step worked problem from the Palomar College demonstrating how to take a set of data and produce a relative frequency polygon. Hints are provided along the way, and the final graph is shown for the user to check.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.1: Sum of Angles in a Polygon
This problem provides learners with an opportunity to discover algebraic structure in a geometric context. They will divide up polygons into triangles. The will use the sum of the angles of 180 degrees for each triangle. Aligns with...
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: More on Polyhedra
This lesson focuses on polyhedra other than the platonic solids; these include an Archimedean solid, a polyhedron made up of different kinds of regular polygons, that looks the same from every direction. There are 13 different...
University of Chicago
Ucsmp: Polygon Plotter
This interactive applet allows you to manipulate polygons using matrices.
Math Open Reference
Math Open Reference: Center of a Polygon
A complete reference guide to the center of a polygon. It provides definitions and an interactive activity that enhances further explanation. Includes links to related topics.
Analyze Math
Analyze Math: Regular Polygons
The interactive tutorial examines the properties and formulas of regular polygons, inscribed circles, and circumscribed circles.
Science Buddies
Science Buddies: Divide and Conquer: Proving Pick's Theorem for Lattice Polygons
If you like to play Tetris then you might like this project. You'll learn something interesting about the mathematics of complex shapes.
Alabama Learning Exchange
Alex: "Polly"gon Pockets
Lesson plan that helps students explore the attributes of polygons through the use of cooperative groups. Students use jigsaw puzzles and foldable polygons. They also connect the attributes of specific polygons with objects in the real...
Mathigon
Mathigon: Geometry: Angles and Polygons: Drawing Triangles
This lesson focuses on the Triangle Inequality, when the sum of the lengths of any two sides of a triangle is greater than the length of the third. When this happens, the three sides cannot form a triangle.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Tessellations
This lesson focuses on tessellations, a tessellation is a geometric pattern that covers a surface without gaps or overlaps. They can be seen everywhere in nature such as a honeycomb or a tortoise shell.
Wolfram Research
Wolfram Math World: Math World: Geometric Construction
Offers an explanation of what a geometric construction is and what some of the tools are that are used for it, including the traditional straightedge and compass. The site explains how to construct various polygons inscribed within a...
Instituto Latinoamericano de la Comunicacion Educativa
Red Escolar: Poligonos Regulares Y Sus Angulos
In Spanish. This site has an introduction to regular polygons, classification of polygons according to the number of sizes and an activity of constructing polygons by folding papers.
Other
Virtual Polyhedra: Polyhedra Names
An extensive look at the naming of various polyhedral shapes. Many hyperlinks for more information.
Illustrative Mathematics
Illustrative Mathematics: G Mg, a Ced Regular Tessellations of the Plane
This task examines the ways in which a plane can be covered by regular polygons in a regular tessellation arrangement. The problem uses the formula for the measure of the interior angles of a regular polygon and the goal of the task is...
Cut the Knot
Cut the Knot!: Napoleon's Theorem
Site that describes in detail Napoleon's theorem. To understand this site be sure you understand what the centroid of an object is. The site describes polygons in terms of the roots of unity of a function. The page gives an interactive...
Illustrative Mathematics
Illustrative Mathematics: Overlapping Rectangles
The purpose of this task is to give students an opportunity to compose and decompose polygons to make rectangles. The students will be shown a picture and are asked to count how many rectangles they see. Explanations and examples are...
Alabama Learning Exchange
Alex: Determine Transformation(s)
Middle schoolers will use graphing calculators(TI-83 Plus) to find transformations of polygons.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Better Lesson
Better Lesson: Area of Triangles
Sixth graders apply what they know about area of other polygons to develop a formula for finding the area of a triangle.
Shodor Education Foundation
Shodor Interactivate: Transmographer 2
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, rotations about any point, and translations in any direction.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Actividades Con El Geoplano Formula De Pick
This interactive activity will lead you to the formula that was discovered by G. Pick in 1899. Gather all the data obtained in each of the activities and make a connection between the interior points, the points on the edge and the area...
Science and Mathematics Initiative for Learning Enhancement (SMILE)
Smile: Polyhedrons
This in-depth paper examines the idea of convexity. Euclid's Elements, the first geometry textbook, assumed convexity without mentioning the term.
Cornell Lab of Ornithology
Habitat Network: Wildlife Habitat Category in the Groups Data Visualization
Habitat Network has combined all the vegetatively-complex habitat polygons into categories here.
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