A polygon is a closed figure made up of straight line segments. Each line segment is called a side, and each endpoint where two sides meet is called a vertex. Polygons can be classified by the number of sides they have. The most common polygons are triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), heptagons (7 sides), octagons (8 sides), nonagons (9 sides), and decagons (10 sides).

**Triangle:**A polygon with 3 sides and 3 vertices.**Quadrilateral:**A polygon with 4 sides and 4 vertices.**Pentagon:**A polygon with 5 sides and 5 vertices.**Hexagon:**A polygon with 6 sides and 6 vertices.**Heptagon:**A polygon with 7 sides and 7 vertices.**Octagon:**A polygon with 8 sides and 8 vertices.**Nonagon:**A polygon with 9 sides and 9 vertices.**Decagon:**A polygon with 10 sides and 10 vertices.

Some important properties of polygons include:

**Interior Angles:**The sum of the interior angles of a polygon with n sides is given by the formula (n-2) * 180 degrees.**Exterior Angles:**The sum of the exterior angles of any polygon, whether convex or concave, is always 360 degrees.**Regular and Irregular Polygons:**A polygon is called regular if all its sides are of equal length and all its angles are of equal measure. If any of the sides or angles are different, then it is called an irregular polygon.**Diagonals:**A diagonal is a line segment that connects two non-adjacent vertices of a polygon. The number of diagonals in a polygon can be calculated using the formula n * (n-3) / 2, where n is the number of sides of the polygon.

To study polygons, it's important to familiarize yourself with the properties and types of polygons. Practice identifying and classifying different polygons based on the number of sides and vertices. Additionally, practice calculating the interior and exterior angles of polygons using the relevant formulas. Work on differentiating between regular and irregular polygons and understanding the concept of diagonals in polygons.

It can also be helpful to work on exercises that involve finding the perimeter and area of different polygons, as well as applying the properties of polygons to solve real-life problems.

Remember to review the formulas and properties regularly to reinforce your understanding of polygons.

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.