A polygon is a 2-dimensional shape that is formed by straight lines. It has straight sides and angles, and the sides do not cross each other.

There are different types of polygons based on the number of sides they have:

**Triangle:**3 sides**Quadrilateral:**4 sides**Pentagon:**5 sides**Hexagon:**6 sides**Heptagon:**7 sides**Octagon:**8 sides**Nonagon:**9 sides**Decagon:**10 sides

Some important properties of polygons include:

**Number of Sides:**Each polygon has a specific number of sides.**Interior Angles:**The sum of the interior angles of a polygon with n sides is given by (n-2) * 180 degrees.**Exterior Angles:**The sum of the exterior angles of any polygon, one angle at each vertex, is always 360 degrees.**Types of Polygons:**Polygons can be classified as regular or irregular based on the congruency of their sides and angles.

In a regular polygon, all sides are of equal length and all angles are of equal measure. In an irregular polygon, the sides and angles may have different lengths and measures.

The formula to find the sum of the interior angles of a polygon with n sides is given by:

Sum of Interior Angles = (n-2) * 180 degrees

The formula to find the measure of each exterior angle of a polygon is given by:

Each Exterior Angle = 360 / n degrees

Some examples of polygons include:

**Triangle:**A 3-sided polygon**Square:**A 4-sided regular polygon**Pentagon:**A 5-sided polygon**Hexagon:**A 6-sided polygon**Octagon:**An 8-sided polygon

Understanding the properties and characteristics of polygons is important for various areas of mathematics, including geometry and trigonometry. Knowing the types of polygons and their properties can help in solving problems related to shapes and measurements.

.Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.