Symmetry

Symmetry is a concept in mathematics that refers to a balanced and proportional similarity found in two halves of an object, shape, or image. When an object can be divided into two equal parts that are mirror images of each other, it is said to have symmetry.

Types of Symmetry

There are three main types of symmetry:

Reflection Symmetry (Line Symmetry): This occurs when one half of an image is the mirror reflection of the other half. When an object has reflection symmetry, it can be divided into two congruent halves by a line.
Rotational Symmetry: This occurs when an object can be rotated about a point and still appear the same. The number of times an object looks exactly the same after being rotated through a full circle is called its order of rotational symmetry.
Point Symmetry: This occurs when an object is symmetrical about a point. If the object is rotated 180 degrees about the point, it will look the same.

Examples of Symmetry

Examples of symmetry can be found in various everyday objects, such as squares, rectangles, circles, and triangles. Additionally, the human body, animals, and many natural forms exhibit different types of symmetrical properties.

Study Guide

To understand symmetry better, you can follow these study tips:

Practice drawing and identifying symmetrical shapes and objects.
Experiment with creating your own symmetrical designs using paper folding or drawing tools.
Look for examples of symmetry in nature, architecture, and artwork.
Explore the concept of rotational symmetry by examining how different shapes can be rotated to exhibit symmetry.
Challenge yourself with symmetry puzzles and activities to strengthen your understanding of this concept.

◂Math Worksheets and Study Guides Fifth Grade. Multiplication

Vocabulary/Answer key

Multiplication

The resources above cover the following skills:

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

Algebra (NCTM)

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.

Connections to the Grade 5 Focal Points (NCTM)

Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers. Students also explore contexts that they can describe with negative numbers (e.g., situations of owing money or measuring elevations above and below sea level).