A hexagon is a polygon with six sides and six angles. The sum of the interior angles of a hexagon is always 720 degrees. Each interior angle of a regular hexagon measures 120 degrees.

- Number of sides: 6
- Number of angles: 6
- Sum of interior angles: 720 degrees
- Sum of exterior angles: 360 degrees
- Each interior angle in a regular hexagon: 120 degrees

There are two main types of hexagons:

- Regular Hexagon: A hexagon with all sides of equal length and all angles of equal measure.
- Irregular Hexagon: A hexagon with sides and/or angles of different lengths and measures.

Some important formulas related to hexagons include:

- Area of Regular Hexagon:
**Area = (3√3 * s**(where s is the length of a side)^{2})/2 - Perimeter of Hexagon:
**Perimeter = 6 * s**(where s is the length of a side)

Examples of hexagons can be found in real-life objects such as honeycombs, nuts, bolts, and some forms of crystals.

- Calculate the interior angles of a regular hexagon.
- Find the perimeter of a regular hexagon with each side measuring 5 cm.
- Determine the area of a regular hexagon with a side length of 8 units.

Understanding the properties and formulas related to hexagons is important for solving problems in geometry and real-world applications.

.Study GuidePatterns Worksheet/Answer key

Patterns Worksheet/Answer key

Patterns Worksheet/Answer key

Patterns Worksheet/Answer keyPatterns and Algebra

Algebra (NCTM)

Understand patterns, relations, and functions.

Describe, extend, and make generalizations about geometric and numeric patterns.

Represent and analyze patterns and functions, using words, tables, and graphs.

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Analyze change in various contexts.

Identify and describe situations with constant or varying rates of change and compare them.

Connections to the Grade 4 Focal Points (NCTM)

Algebra: Students continue identifying, describing, and extending numeric patterns involving all operations and nonnumeric growing or repeating patterns. Through these experiences, they develop an understanding of the use of a rule to describe a sequence of numbers or objects.