Variables in Mathematics

In mathematics, a variable is a symbol or letter that represents a value that can change. Variables are used to write mathematical expressions and equations.

For example, in the expression 2x + 3, the letter "x" is a variable. It represents a number that can vary or change. The value of "x" is not fixed and can be different in different contexts.

Types of Variables

There are two main types of variables in mathematics:

Independent Variables: These are variables that stand alone and are not affected by other variables. They are often denoted by letters like "x" or "t".
Dependent Variables: These are variables whose value depends on the value of one or more other variables. They are often denoted by letters like "y" or "f(x)".

Using Variables in Equations

Variables are commonly used in equations to represent unknown quantities. For example, in the equation 3x = 12, the variable "x" represents the unknown number that, when multiplied by 3, equals 12.

Real-World Applications

Variables are used in many real-world applications, such as in science, engineering, economics, and more. They allow us to represent and solve problems involving unknown or changing values.

◂Math Worksheets and Study Guides Third Grade. Perimeter

The 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.

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

Use geometric models to solve problems in other areas of mathematics, such as number and measurement.

Connections to the Grade 3 Focal Points (NCTM)

Measurement: Students in grade 3 strengthen their understanding of fractions as they confront problems in linear measurement that call for more precision than the whole unit allowed them in their work in grade 2. They develop their facility in measuring with fractional parts of linear units. Students develop measurement concepts and skills through experiences in analyzing attributes and properties of two-dimensional objects. They form an understanding of perimeter as a measurable attribute and select appropriate units, strategies, and tools to solve problems involving perimeter.