ClassFlow
Class Flow: Perimeter of Regular Figures
[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.
National Council of Teachers of Mathematics
Nctm: Illuminations: Cutting Corners
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.
ClassFlow
Class Flow: Segments and Polygons
[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.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Naming Polygons and Polyhedra
This site gives you the prefixes for naming polygons and polyhedra.
University of Cambridge
University of Cambridge: Nrich: Egyptian Rope
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.
E-learning for Kids
E Learning for Kids: Math: Russian Toy Store: 2 D Shapes
Mattie and her four sisters are visiting a toy store. Can you help them find different shapes in the toy store?
University of Cambridge
University of Cambridge: Nrich: Where Are They?
Test your logic, polygon properties, and pattern recognition skills working on this challenge. Solution included.
National Council of Teachers of Mathematics
Nctm: Illuminations: Tessellation Creator
Interactive tool creates patterns to cover the screen using regular polygons.
Wolfram Research
Wolfram Math World: Math World: Hexagon
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...
Other
Generalization
Learn how to construct convex polygons and the mathematical foundations of symmetry on this site.
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.
Primary Resources
Primary Resources: 2 D and 3 D Shapes
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.
Other
Visnos: Explore Pi
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...
National Council of Teachers of Mathematics
The Math Forum: What Is a Tessellation?
The Math Forum defines and illustrates geometric tessellation.
Mathigon
Mathigon: Geometry: Polygons and Polyhedra: Quadrilaterals
This lesson focuses on quadrilaterals which can fall into multiple categories based on the number of sides and the angles.
Wolfram Research
Wolfram Math World: Dodecagon
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.]
George Mason University
Area Formula Lab
In this set of worksheet activities, students will be guided to discover formulas for area of polygonal shapes and circles.
CK-12 Foundation
Ck 12: Geometry: Perimeter and Area Study Guide
[Free Registration/Login may be required to access all resource tools.] This study guide looks at the definitions and units for perimeter, area, and circumference, and at the perimeter and area of different shapes, including regular...
Mr. Martini's Classroom
Mr. Martini's Classroom: Teacher's Figure Library: Geometric Figures
This interactive resource provides an example picture of the geometric figure chosen by students to review.
Illustrative Mathematics
Illustrative Mathematics: G Co Inscribing a Hexagon in a Circle
In this task, students inscribe a regular hexagon inside a circle and compare its area to that of the circle. Aligns with G-CO.D.13.
Wolfram Research
Wolfram Math World: Octagon
A complex look at the octagon, which is an eight-sided polygon, from Mathworld.com.
Illustrative Mathematics
Illustrative Mathematics: 8.g Partitioning a Hexagon
In this task, 8th graders are asked to partition a regular hexagon into congruent shapes and explain how they know they are congruent. Aligns with 8.G.A.
Wolfram Research
Wolfram Math World: Semiregular Tessellations
This one page Mathworld site has a number of examples of semiregular tessellations. A definition and a small amount of related information is given at the bottom of the page.
National Council of Teachers of Mathematics
The Math Forum: Seventh Grade Math: Area and Perimeter
Learn how to enlarge drawings, figure out how much tile to buy to cover a specific floor, and learn about area and perimeter. These and other lesson plans are provided, including a fun interdisciplinary plan featuring dragons.
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