eBook
Mathigon

Mathigon: Geometry: Polygons and Polyhedra: Polygons

For Students 9th - 10th Standards
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.
Handout
Math Open Reference

Math Open Reference: Interior Angles of a Polygon

For Students 9th - 10th
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.
Activity
Palomar Community College District

Palomar College: Relative Frequency Polygon

For Students 9th - 10th
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A ced.a.1: Sum of Angles in a Polygon

For Teachers 9th - 10th
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...
eBook
Mathigon

Mathigon: Geometry: Polygons and Polyhedra: More on Polyhedra

For Students 9th - 10th Standards
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...
Handout
University of Chicago

Ucsmp: Polygon Plotter

For Students 10th - 12th
This interactive applet allows you to manipulate polygons using matrices.
Handout
Math Open Reference

Math Open Reference: Center of a Polygon

For Students 9th - 10th
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.
Unit Plan
Analyze Math

Analyze Math: Regular Polygons

For Students 9th - 10th Standards
The interactive tutorial examines the properties and formulas of regular polygons, inscribed circles, and circumscribed circles.
Activity
Science Buddies

Science Buddies: Divide and Conquer: Proving Pick's Theorem for Lattice Polygons

For Students 4th - 8th
If you like to play Tetris then you might like this project. You'll learn something interesting about the mathematics of complex shapes.
Lesson Plan
Alabama Learning Exchange

Alex: "Polly"gon Pockets

For Teachers 3rd - 8th Standards
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...
Unit Plan
Mathigon

Mathigon: Geometry: Angles and Polygons: Drawing Triangles

For Students 9th - 10th Standards
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.
eBook
Mathigon

Mathigon: Geometry: Polygons and Polyhedra: Tessellations

For Students 9th - 10th
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.
Handout
Wolfram Research

Wolfram Math World: Math World: Geometric Construction

For Students 9th - 10th Standards
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...
Activity
Instituto Latinoamericano de la Comunicacion Educativa

Red Escolar: Poligonos Regulares Y Sus Angulos

For Students 9th - 10th
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.
Unit Plan
Other

Virtual Polyhedra: Polyhedra Names

For Students 9th - 10th Standards
An extensive look at the naming of various polyhedral shapes. Many hyperlinks for more information.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg, a Ced Regular Tessellations of the Plane

For Teachers 9th - 10th
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...
Unit Plan
Cut the Knot

Cut the Knot!: Napoleon's Theorem

For Students 9th - 10th
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Overlapping Rectangles

For Teachers 1st - 2nd Standards
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...
Lesson Plan
Alabama Learning Exchange

Alex: Determine Transformation(s)

For Teachers 6th - 8th
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.
Lesson Plan
Better Lesson

Better Lesson: Area of Triangles

For Teachers 6th Standards
Sixth graders apply what they know about area of other polygons to develop a formula for finding the area of a triangle.
Interactive
Shodor Education Foundation

Shodor Interactivate: Transmographer 2

For Students 9th - 10th Standards
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.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Actividades Con El Geoplano Formula De Pick

For Students 9th - 10th
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...
Lesson Plan
Science and Mathematics Initiative for Learning Enhancement (SMILE)

Smile: Polyhedrons

For Teachers 9th - 10th Standards
This in-depth paper examines the idea of convexity. Euclid's Elements, the first geometry textbook, assumed convexity without mentioning the term.
Article
Cornell Lab of Ornithology

Habitat Network: Wildlife Habitat Category in the Groups Data Visualization

For Students 9th - 10th
Habitat Network has combined all the vegetatively-complex habitat polygons into categories here.

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