Handout
Wolfram Research

Wolfram Math World: Area

For Students 9th - 10th Standards
Definitions and formulas for the computation of surface areas of triangles, rectangles, and any regular polygon. Helpful links to related pages.
Activity
Math Is Fun

Math Is Fun: Interior Angles of Polygons

For Students 3rd - 8th Standards
Learn what an interior angle of a polygon is and how you can calculate their value in triangles, quadrilaterals, and pentagons. Includes a chart that overviews the "general rule" for determining the sum of internal angles in any polygon...
Activity
University of Cambridge

University of Cambridge: Nrich: Logo Programming Overlapping Polygons

For Students 3rd - 8th
Using this Logo Program you can experiment with different values for N in the procedure and see the changes in the results.
Activity
Other

Visnos: Polygons

For Students 1st - 8th Standards
Create regular and irregular polygons and determine the angles and side lengths with this interactive exercise. Use Safari or Chrome browser.
Website
Ducksters

Ducksters: Kids Math: Polygons

For Students 9th - 10th Standards
Polygons for kids. Learn how they work, terms, tricks and examples. Regular, convex, concave, complex, and more.
Handout
The Math League

The Math League: Figures and Polygons: Nonagons

For Students 9th - 10th Standards
This site provides definitions and examples of the various types of polygons including nonagons.
Lesson Plan
OER Commons

Oer Commons: Area of a Circle

For Teachers 7th Standards
Seventh graders will compare the formula for the area of a regular polygon to discover the formula for the area of a circle.
Whiteboard
ClassFlow

Class Flow: Perimeter of Regular Figures

For Teachers 3rd - 5th Standards
[Free Registration/Login Required] This elementary flipchart presents the concept of regular shapes and ways of measuring perimeter. It also explores the ratio of perimeter to side length that equals the number of sides.
Activity
National Council of Teachers of Mathematics

Nctm: Illuminations: Cutting Corners

For Students 9th - 10th Standards
Students will use their knowledge of plane figure attributes to create and view shapes by cutting and rotating shapes to stimulate discussions on names and attributes of various shapes they do not regularly encounter.
Whiteboard
ClassFlow

Class Flow: Segments and Polygons

For Teachers 3rd - 5th Standards
[Free Registration/Login Required] This flipchart reviews segments, parallel and perpendicular lines and then introduces polygons including quadrilaterals. It has many real world examples of shapes and includes Activote assessment.
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Naming Polygons and Polyhedra

For Students 9th - 10th
This site gives you the prefixes for naming polygons and polyhedra.
Activity
University of Cambridge

University of Cambridge: Nrich: Egyptian Rope

For Students 3rd - 8th Standards
See how many different regular polygons you can make using the 12 knot Egyptian rope at this one page website. Check your solution right at the website.
Unit Plan
E-learning for Kids

E Learning for Kids: Math: Russian Toy Store: 2 D Shapes

For Students 4th - 6th
Mattie and her four sisters are visiting a toy store. Can you help them find different shapes in the toy store?
Activity
University of Cambridge

University of Cambridge: Nrich: Where Are They?

For Students 3rd - 8th
Test your logic, polygon properties, and pattern recognition skills working on this challenge. Solution included.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Tessellation Creator

For Students 3rd - 8th
Interactive tool creates patterns to cover the screen using regular polygons.
Unit Plan
Wolfram Research

Wolfram Math World: Math World: Hexagon

For Students 9th - 10th Standards
Gives a detailed overview of hexagons, particularly of regular hexagons. Be sure to use the links for unfamiliar notation or variable representation. This site gives formulas for inner radius, circumradius, parameter, and area of a...
Activity
Other

Generalization

For Students 9th - 10th Standards
Learn how to construct convex polygons and the mathematical foundations of symmetry on this site.
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.
Website
Primary Resources

Primary Resources: 2 D and 3 D Shapes

For Teachers Pre-K - 1st Standards
Here is a huge collection of teacher resources for teaching 2-D and 3-D shapes. Includes smartboard and PowerPoint presentations, as well as worksheets and helpful hints.
Website
Other

Visnos: Explore Pi

For Students 9th - 10th
This interactive demonstration shows firstly how pi relates to the circumference of a circle. This is achieved using a regular polygon approximation, the closed polygon is opened to reveal this magical number. The area of a circle is...
Activity
National Council of Teachers of Mathematics

The Math Forum: What Is a Tessellation?

For Students 3rd - 8th Standards
The Math Forum defines and illustrates geometric tessellation.
eBook
Mathigon

Mathigon: Geometry: Polygons and Polyhedra: Quadrilaterals

For Students 9th - 10th Standards
This lesson focuses on quadrilaterals which can fall into multiple categories based on the number of sides and the angles.
Unit Plan
Wolfram Research

Wolfram Math World: Dodecagon

For Students 9th - 10th
This MathWorld site discusses dodecagons, a 12 sided polygon, the site gives formulas, yet variables are not defined well, to find the meanings of these variables go to the regular polygon link. [Requires Java.]
Activity
George Mason University

Area Formula Lab

For Teachers 4th - 8th Standards
In this set of worksheet activities, students will be guided to discover formulas for area of polygonal shapes and circles.

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