Shapes

In mathematics, a shape is a two-dimensional figure that has a specific outline or boundary. Shapes can be classified based on the number of sides, angles, and other properties.

Types of Shapes

There are various types of shapes, some of the common ones include:

Triangles: A polygon with three sides and three angles.
Quadrilaterals: A polygon with four sides and four angles. Examples include squares, rectangles, parallelograms, and trapezoids.
Circles: A shape with all points in a plane at a fixed distance from a center point.
Polygons: A closed figure with three or more straight sides.
Other shapes: This category includes shapes like pentagons, hexagons, octagons, and more.

Properties of Shapes

Shapes have various properties that can be used to identify and classify them:

Number of sides: This refers to the count of line segments that form the boundary of the shape.
Angles: The measurement of the "corners" of the shape, typically measured in degrees.
Area: The amount of space enclosed by the shape.
Perimeter: The distance around the boundary of the shape.
Symmetry: Whether a shape can be divided into two identical halves.

Study Guide

When studying shapes, it's important to familiarize yourself with the following concepts:

Understanding the properties of different shapes.
Being able to identify and classify shapes based on their properties.
Calculating the area and perimeter of various shapes.
Recognizing and understanding symmetry in shapes.
Practicing drawing different shapes and understanding their characteristics.

By mastering these concepts, you'll have a strong foundation in working with shapes in mathematics.

◂Math Worksheets and Study Guides Sixth Grade. Diameter of Circle

The resources above cover the following skills:

Geometry (NCTM)

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.

Connections to the Grade 6 Focal Points (NCTM)

Measurement and Geometry: Problems that involve areas and volumes, calling on students to find areas or volumes from lengths or to find lengths from volumes or areas and lengths, are especially appropriate. These problems extend the students' work in grade 5 on area and volume and provide a context for applying new work with equations.