Lesson Plan
Illustrative Mathematics

Regular Tessellations of the Plane

For Teachers 9th - 11th Standards
Bringing together the young artists and the young organizers in your class, this lesson takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack the...
Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Activity
National Council of Teachers of Mathematics

Taking a Spin

For Teachers 9th - 12th Standards
It does not divide into 360 evenly, so it cannot work. The resource extends pupils' thinking about rotational symmetry. By asking for a figure with a rotational symmetry of a seemingly impossible angle, the activity requires learners to...
Activity
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Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Lesson Plan
Curated OER

Tile Patterns II: Hexagons

For Teachers 7th - 9th Standards
After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...
Lesson Plan
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Illustrative Mathematics

Equal Area Triangles on the Same Base II

For Teachers 9th - 12th Standards
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Lesson Plan
Curated OER

Tile Patterns I: Octagons and Squares

For Teachers 7th - 9th Standards
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
Activity
Curated OER

Solidly Platonic

For Teachers 9th - 12th Standards
When they do, they learn. Using this resource, young mathematicians learn about platonic solids by actually building, touching, and examining the shapes. They connect their observations about the shapes to Euler's formula.
Activity
Wake Forest University

Authentic Activities for Connecting Mathematics to the Real World

For Students 6th - 12th Standards
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...
Activity
Education Development Center

Finding Triangle Vertices

For Teachers 6th - 7th Standards
Where in the world (or at least in the coordinate plane) is the third vertex? Given two coordinate points for the vertices of a triangle, individuals find the location of the third vertex. They read an account of fictional...
Activity
Texas Instruments

Texas Instruments: Ratios in Regular Polygons

For Teachers 6th - 8th
In this activity, students use linear measurement and calculators to investigate the ratios between corresponding parts of regular polygons.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Regular Polygon Centroids

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson shows students different ways to find centroids of regular polygons. The traditional way (using medians) is presented, as well as the triangulation method, the diagonals method,...
Activity
Texas Instruments

Texas Instruments: Discovering Geometry: Drawing Regular Polygons

For Teachers 9th - 10th Standards
Students will explore the central angles of a regular polygon.
Activity
Texas Instruments

Texas Instruments: Area and Perimeter of Regular Polygons

For Teachers 9th - 10th Standards
Students determine the area and perimeter of regular polygons and use that information to conduct a beginning investigation of limits.
Activity
Texas Instruments

Texas Instruments: Areas of Regular Polygons and Circles

For Teachers 9th - 10th Standards
Use Cabri Jr. to find the area of several regular polygons and then use that investigation to derive the area of a circle from a many-sided polygon.
Activity
Texas Instruments

Texas Instruments: Area of a Regular Polygon

For Teachers 9th - 10th
This activity has the students derive the formula for finding the area of a regular polygon. Demonstrating the procedure of constructing a regular polygon in front of the class maybe necessary depending on the students prior experience
Activity
Texas Instruments

Texas Instruments: Finding the Area of Regular Polygons

For Teachers 9th - 10th Standards
Students discover a very intuitive method for determining the area of a regular polygon. They use that information to develop the standard area formula.
Activity
Texas Instruments

Texas Instruments: Constructing Regular Polygons

For Teachers 9th - 10th
In this activity, students will construct regular polygons. The activity will reinforce the difference between a construction and a drawing.
Activity
K-5 Math Teaching Resources

K 5 Math Teaching Resources: Symmetry in Regular Polygons [Pdf]

For Teachers 2nd - 5th
An activity for students to explore symmetry on different regular polygons.
Activity
Texas Instruments

Texas Instruments: Finding the Area of a Perfect Polygon.

For Teachers 9th - 10th
Students will review how to find the area of a regular polygon.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Poligonos Regulares Y Circulo

For Students 9th - 10th
In Spanish. This interactive site shows the properties of regular polygons and its elements.
Activity
Analyze Math

Analyze Math: Polygons Problems

For Students 9th - 10th Standards
Here are four problems about the area of a regular polygon. Start by finding the area of a hexagon inscribed in a circle of radius 10, and end by proving that as the number of sides of the polygon increases, the area of the polygon...
Activity
Analyze Math

Analyze Math: Rotation Symmetry of Regular Polygons

For Students 9th - 10th Standards
An applet is used to investigate the rotation symmetry of regular polygons.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice: Polygons and Area of Plane Figures

For Students 9th - 10th Standards
Practice using your graphing calculator for measuring and constructing polygons and other plane figures. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under...

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