Home Grade 6 Geometry: Polygons in Practice

# Grade 6 Geometry: Polygons in Practice

Let’s chat about grade 6 Geometry and a fascinating concept that we see all around us every day: polygons. If geometry were a movie, polygons would be the main characters. Polygons come in all shapes and sizes, but what exactly defines a polygon?

Does a polygon have a set number of sides? Does a polygon have any particular features that don’t change? Where does the word even come from? Let’s take a closer look at polygons and talk about some of the most common examples of polygons that sixth graders will meet during their time in math class.

## Defining Polygons

To begin with, what precisely is a polygon? Imagine it instead as a particular type of flat shape with straight sides. Together, these sides form a closed loop that resembles a closed figure. So, when you hear the word “polygon,” it refers to a category of closed shapes with straight edges.

For all the etymologists out there, “poly” means many, and “gonia” means angles in Greek, which is where the word “polygon” originated. The origin of the word tells us that polygons will contain a large number of angles.

## Classification of Polygons

Given that polygons are simply two-dimensional shapes that are closed up and have all straight edges, it will come as no surprise that there are many different types of polygons. Classifying polygons is a crucial step in understanding the properties of

Polygons.

In grade 6 geometry, students encounter polygons ranging from the simplest to more complex structures. Here are some of the most common polygons:

### Triangle

With three sides and three angles, the simple triangle is the fundamental unit of more complex polygons.

Moving up the complexity ladder, we come to find that a quadrilateral has four sides and four angles. Squares, rectangles, parallelograms, and rhombuses are a few examples

### Pentagon

The pentagon, which has five sides and five angles, helps students understand the idea of polygons that have increasing numbers of edges.

### Hexagon

Entering the domain of six sides and six angles, the hexagon offers a visually pleasing and symmetric geometric experience.

### Heptagon

With its seven sides and seven angles, the heptagon pushes students to investigate polygons beyond the shapes that they’re familiar with.

### Octagon

The octagon, with its eight sides and eight angles, gives the field of polygons a sense of balance and order.

## Properties of Polygons

Now that we’ve identified the relationship between sides and angles in polygons, we must turn our attention to the properties of polygons. These properties help guide sixth-grade students to navigate the challenges in geometry class. Several key properties distinguish polygons from one another:

### Interior Angles

The following formula can be used to find the sum of interior angles in any polygon: Since ‘n’ is the number of sides, the sum equals (n-2) x 180°. This formula shows us the relationship between the number of sides and the total measure of interior angles.

### Exterior Angles

The exterior angles of a polygon supplement its interior angles. The measure of an exterior angle can be calculated by dividing 360° by the number of sides.

### Diagonals

In a polygon, diagonals are the line segments that join non-adjacent vertices. Understanding the number of diagonals in various polygons adds a layer of complexity to their study.

## Real-World Applications

Despite being two-dimensional, polygons aren’t confined to the pages of a math textbook; they manifest in the world around us. Polygons make their way into several key aspects of our everyday lives. Here are just three ways we see polygons used to contribute to our society:

### Architecture

Polygons are a common tool used by architects in building design. The foundation of architecture is the polygon; from squares and rectangles for windows to hexagons and octagons for structural components.

### Art and Design

Polygonal shapes are frequently used by artists to produce symmetrical, eye-catching works of art. Students can appreciate the underlying geometric structures in art when they have a solid understanding of polygons.

### City Planning

Geometric concepts such as polygons are employed by urban planners in the process of creating city layouts. Streets, parks, and building layouts frequently adhere to geometric designs.

## At Online Math Center

At OMC, our students gain exposure to vital concepts and topics as soon as they are ready to tackle them. If students are excelling, they can advance and get a huge advantage when it comes to test days. If they are struggling with certain topics, our experienced teachers have the skills needed to plug those knowledge gaps and help students not just catch up on classmates but exceed their potential. Whatever a student’s level, OMC tutors have the experience and the expertise needed to identify opportunities for progress and capitalize on them.

## Step Two

Let us know how to contact you. One of our representatives will get back to you shortly.

## Step Two

Awesome! We need to get in touch with your parent or guardian for further discussion. Please check in with them before filling out the form below with their information.

## Step One

It only takes two steps to schedule an appointment with an OMC representative.

To get started, please tell us who you are:

## Dear Parent!

Thank you for placing your trust in us to educate your child!

Congratulations on joining the Online Math Center!
See you in class.

## Step One

It only takes two steps to schedule a free lesson with an OMC representative.

To get started, please tell us who you are:

## Payment

0%
0%

Payment amount: \$323.00

Secure payments by Stripe.

We do not collect your credit card on our servers.

## Thank you!

Our manager will be in contact with you shortly.