Learn on PengiPengi Math (Grade 6)Chapter 6: Geometry

Lesson 1: Polygons and Their Properties

In this Grade 6 Pengi Math lesson from Chapter 6: Geometry, students learn to define polygons as closed figures made of straight line segments and identify their sides, vertices, and angles. The lesson also develops students' ability to distinguish polygons from non-polygons using these defining properties.

Section 1

Identifying Polygons and Their Components

Property

A polygon is a closed, two-dimensional figure formed by three or more straight line segments that do not cross each other.

Sides: The straight line segments that form the polygon.
Vertices: The points where the sides meet (singular: vertex).
Angles: The angles formed at the vertices inside the polygon.

Examples

Section 2

Standard Units of Area

Property

A standard unit of area is a square with a specific side length used for consistent measurement.

A square inch ( $1 \text{ in}^2$ ) is a square with 1-inch sides.
A square centimeter ( $1 \text{ cm}^2$ ) is a square with 1-centimeter sides.

Since 1 inch is longer than 1 centimeter, a square inch is a larger unit of area: $1 \text{ in}^2 > 1 \text{ cm}^2$ .

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Identifying Polygons and Their Components

Property

A polygon is a closed, two-dimensional figure formed by three or more straight line segments that do not cross each other.

Sides: The straight line segments that form the polygon.
Vertices: The points where the sides meet (singular: vertex).
Angles: The angles formed at the vertices inside the polygon.

Examples

Section 2

Standard Units of Area

Property

A standard unit of area is a square with a specific side length used for consistent measurement.

A square inch ( $1 \text{ in}^2$ ) is a square with 1-inch sides.
A square centimeter ( $1 \text{ cm}^2$ ) is a square with 1-centimeter sides.

Since 1 inch is longer than 1 centimeter, a square inch is a larger unit of area: $1 \text{ in}^2 > 1 \text{ cm}^2$ .

Overview

Lesson overview

Review the lesson summary and core properties without leaving the current page.

Overview

Section 1

Identifying Polygons and Their Components

Property

A polygon is a closed, two-dimensional figure formed by three or more straight line segments that do not cross each other.

Sides: The straight line segments that form the polygon.
Vertices: The points where the sides meet (singular: vertex).
Angles: The angles formed at the vertices inside the polygon.

Examples

Section 2

Standard Units of Area

Property

A standard unit of area is a square with a specific side length used for consistent measurement.

A square inch ( $1 \text{ in}^2$ ) is a square with 1-inch sides.
A square centimeter ( $1 \text{ cm}^2$ ) is a square with 1-centimeter sides.

Since 1 inch is longer than 1 centimeter, a square inch is a larger unit of area: $1 \text{ in}^2 > 1 \text{ cm}^2$ .