Shapes
In mathematics, a shape is a two-dimensional figure that has a specific outline or form. Shapes can be classified into various categories based on their properties, such as the number of sides, angles, and other characteristics.
Types of Shapes
There are several types of shapes, including:
- Triangles: Three-sided polygon with three angles.
- Squares: A four-sided polygon with all sides of equal length and all angles of 90 degrees.
- Rectangles: A four-sided polygon with opposite sides of equal length and all angles of 90 degrees.
- Circles: A closed curve where all points are the same distance from the center.
- Quadrilaterals: Four-sided polygons with various properties, such as parallelograms, trapezoids, and rhombuses.
Attributes of Shapes
Shapes can be described by their attributes, including:
- Sides: The straight lines that form the boundary of the shape.
- Axes of Symmetry: Lines that divide the shape into two equal parts.
- Angles: The measurement of the corners formed by the intersection of sides.
- Area: The measure of the space enclosed by the shape.
Importance of Shapes
Understanding shapes is fundamental in various mathematical concepts, such as geometry, spatial reasoning, and measurement. Shapes are also commonly encountered in everyday objects and designs, making their recognition and understanding essential.
[Shapes] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Third Grade. Shapes
Study Guide
Shapes 
Worksheet/Answer key
Shapes Worksheet/Answer key
Shapes Worksheet/Answer key
Shapes Worksheet/Answer key
2D Space Worksheet/Answer key
2D Space Worksheet/Answer key
2-D Space Worksheet/Answer key
2-D Space Worksheet/Answer key
Shapes Worksheet/Answer key
Identify Quadrilaterals Worksheet/Answer key
Identify Quadrilaterals
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Geometry (NCTM)
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.
Classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids.
Use visualization, spatial reasoning, and geometric modeling to solve problems.
Recognize geometric ideas and relationships and apply them to other disciplines and to problems that arise in the classroom or in everyday life.
Grade 3 Curriculum Focal Points (NCTM)
Geometry: Describing and analyzing properties of two-dimensional shapes
Students describe, analyze, compare, and classify two-dimensional shapes by their sides and angles and connect these attributes to definitions of shapes. Students investigate, describe, and reason about decomposing, combining, and transforming polygons to make other polygons. Through building, drawing, and analyzing two-dimensional shapes, students understand attributes and properties of two-dimensional space and the use of those attributes and properties in solving problems, including applications involving congruence and symmetry.