Willow Tree
Interior Angles, Exterior Angles, and Diagonals of Polygons
How does the number of sides of a polygon affect the angle measures? Learners recognize a pattern in finding the total measure of interior and exterior angles and the number of diagonals. They use the patterns to calculate the number of...
Curated OER
Area of Polygons
In this area of polygons worksheet, 10th graders solve and complete 12 various types of problems. First, they find the area of a given square. Then, students find the length of an original square as illustrated. They also write an...
Curated OER
Area of Polygons
Students engage in a lesson that is about the concept of polygons and focuses upon finding the area. They use formulas provided in the lesson in order to solve problems given by the teacher for independent practice. Geometric figures are...
Curated OER
Polygons and Diagonals
Students practice measuring the interior angles of given regular polygons and create a formula for finding the measure of th interior angles of any polygon. They determine the relationships between the number of vertices's or sides in a...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Curated OER
Diagonals of Quadrilaterals
Teach your mathematicians how to identify different polygons based on their diagonals. Relating quadrilaterals to the different number of diagonals formed, high schoolers use the TI to create a visual of their shape.
Curated OER
Lesson Exchange: Polygons (Middle, Mathematics)
Students discover the relationship between the sides of a polygon and the number of diagonals that can be drawn from one vertex, the number of triangles that those diagonals form, and the sum of the interior angles of that polygon.
Curated OER
Pop-it...Stop-it
Young scholars observe how certain geometric shapes can be used to make some structures rigid and others flexible. The activity involves construction of a 30-60 right triangle, folding while following directions, and identifying polygons.
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this lesson.
Curated OER
Rhombi, Kites, and Trapezoids
Students identify the number of diagonals for each polygon. In this geometry lesson, students identify the polygons based on their diagonals and the way it intersect. They create visuals using the navigator to see the changes in the shapes.
Curated OER
Geometry: Cut, Construct and Think
Students explore polygons. In this geometry skills activity, students complete an activity that requires them to solve geometry problems that involve polygons as they piece together geometric shapes. Students analyze the shapes they...
Curated OER
Diagonals to Quadrilaterals II
Students identify the properties of different polygons. In this geometry lesson plan, students find the slope of a line and calculate the distance between two lines. They differentiate between similar and congruent polygons.
Curated OER
Interior and Exterior Angles of Polygons
Young scholars identify interior and exterior angles of polygons. In this geometry lesson, students add interior and exterior angles of polygons. They use angle theorems to solve the problems.
Curated OER
Going out of Business: Pythagorean Theorem
Students find the length of diagonals. In this Pythagorean theorem instructional activity, students use the Pythagorean theorem to determine the length of diagonals.
Curated OER
Developing Formulas for Triangles and Quadrilaterals
In this geometry worksheet, 10th graders determine the area of triangles, parallelograms, trapezoids, kites, and rhombuses. The one page worksheet contains eleven problems. Answers are included.
Mathematics Assessment Project
Evaluating Statements About Length and Area
Class members complete an assessment task by identifying whether statements about triangles and quadrilaterals are always true, sometimes true, or never true. They then participate in a sorting activity with the same objective.
Curated OER
Area of Polygons
In this geometry worksheet, students analyze the different properties of parallelograms related to their angles, sides and diagonals. There are 5 problems with an answer key.
Curated OER
How Many Regular Polyhedrons Are There In This or Any Universe?
Learners examine the idea of "regularity" as it pertains to geometry. In this geometry lesson students complete several assignments that are part of trihedral angles and regular polyhedrons.
Curated OER
Meet the Polygon Family
Fourth graders investigate regular polygons. In this regular polygon instructional activity, 4th graders explore the attributes of different polygons. Students work in groups to complete a KWL chart regarding polygons.
EngageNY
Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
Curated OER
Around The Stop Sign
Learners analyze a drawing of a regular octagon inscribed in a circle to determine angle measures, using knowledge of properties of regular polygons and the sums of angles in various polygons to help solve the problem. They use...
Curated OER
What's your favorite pi?
Sixth graders toss popcorn kernels at a 12? circle inscribed in a 12? square. By counting the number of popcorn kernels that land inside the circle and inside the square the students calculate estimates for the value of pi.
Curated OER
A Wall of Symmetrical Shapes
Students explore line(s) of symmetry in polygons during a hands-on activity and a Student Web Lesson. They build a wall of symmetrical shapes designed and drawn by students.
Curated OER
Governor's Garden
Young scholars review types of polygons and list several examples of each. They assume the role of a landscape artist interviewing for a job. They create sketches of their plans for six polygonal gardens and write an expository paragraph...