Constants

In mathematics, a constant is a value that does not change. It is a fixed value that remains the same throughout a mathematical expression, equation, or problem. Constants are used to represent specific and unchanging quantities in various mathematical operations.

There are different types of constants, including:

Numeric Constants: These are specific numerical values, such as 3, 5, 10, or π (pi).
Physical Constants: These are constants that represent physical quantities, such as the speed of light (c) or the gravitational constant (G).
Mathematical Constants: These are constants that arise in mathematical formulas and calculations, such as the base of natural logarithms (e) or the imaginary unit (i).

Constants are often denoted by symbols or letters, and they are typically used to simplify mathematical expressions and make them more concise. In algebraic equations, constants are represented by fixed values and do not have variables attached to them.

For example, in the equation y = 2x + 3, the constant term is 3, as it does not change based on the value of x.

Understanding constants is important in various mathematical concepts, including algebra, geometry, calculus, and physics. They play a crucial role in formulating mathematical laws, theories, and principles.

Overall, constants provide a stable and unchanging foundation for mathematical calculations and are essential in solving a wide range of mathematical problems.

◂Math Worksheets and Study Guides First Grade. Sequencing

Duck Race - Least to Greatest

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Count with understanding and recognize 'how many' in sets of objects.

Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections.

Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers.

Connect number words and numerals to the quantities they represent, using various physical models and representations.

Grade 1 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of whole number relationships, including grouping in tens and ones

Children compare and order whole numbers (at least to 100) to develop an understanding of and solve problems involving the relative sizes of these numbers. They think of whole numbers between 10 and 100 in terms of groups of tens and ones (especially recognizing the numbers 11 to 19 as 1 group of ten and particular numbers of ones). They understand the sequential order of the counting numbers and their relative magnitudes and represent numbers on a number line.