Illustrative Mathematics
Regular Tessellations of the Plane
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...
5280 Math
Polygon Polynomials
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...
National Council of Teachers of Mathematics
Taking a Spin
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...
Illustrative Mathematics
Hexagonal Pattern of Beehives
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....
Curated OER
Tile Patterns II: Hexagons
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...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
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,...
Curated OER
Tile Patterns I: Octagons and Squares
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...
Curated OER
Solidly Platonic
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.
Wake Forest University
Authentic Activities for Connecting Mathematics to the Real World
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...
Education Development Center
Finding Triangle Vertices
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...
Texas Instruments
Texas Instruments: Ratios in Regular Polygons
In this activity, students use linear measurement and calculators to investigate the ratios between corresponding parts of regular polygons.
Texas Instruments
Texas Instruments: Numb3 Rs: Regular Polygon Centroids
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,...
Texas Instruments
Texas Instruments: Discovering Geometry: Drawing Regular Polygons
Students will explore the central angles of a regular polygon.
Texas Instruments
Texas Instruments: Area and Perimeter of Regular Polygons
Students determine the area and perimeter of regular polygons and use that information to conduct a beginning investigation of limits.
Texas Instruments
Texas Instruments: Areas of Regular Polygons and Circles
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.
Texas Instruments
Texas Instruments: Area of a Regular Polygon
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
Texas Instruments
Texas Instruments: Finding the Area of Regular Polygons
Students discover a very intuitive method for determining the area of a regular polygon. They use that information to develop the standard area formula.
Texas Instruments
Texas Instruments: Constructing Regular Polygons
In this activity, students will construct regular polygons. The activity will reinforce the difference between a construction and a drawing.
K-5 Math Teaching Resources
K 5 Math Teaching Resources: Symmetry in Regular Polygons [Pdf]
An activity for students to explore symmetry on different regular polygons.
Texas Instruments
Texas Instruments: Finding the Area of a Perfect Polygon.
Students will review how to find the area of a regular polygon.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Poligonos Regulares Y Circulo
In Spanish. This interactive site shows the properties of regular polygons and its elements.
Analyze Math
Analyze Math: Polygons Problems
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...
Analyze Math
Analyze Math: Rotation Symmetry of Regular Polygons
An applet is used to investigate the rotation symmetry of regular polygons.
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice: Polygons and Area of Plane Figures
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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