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Definition--Functions and Relations Concepts--Parametric Equations

Parametric Equations

Parametric Equations Image

Topic

Functions and Relations

Definition

Parametric equations are a set of equations that express the coordinates of the points of a curve as functions of a variable called a parameter.

Description

Parametric equations are significant in mathematics because they allow for the representation of curves that cannot be described by a single function. They are written as x = f(t) and y = g(t), where 𝑡 t is the parameter. Parametric equations are used in various fields, including physics for describing the motion of particles and in computer graphics for modeling curves and surfaces. For example, the parametric equations x = cos(t) and y = sin(t) describe a circle. Understanding parametric equations is essential for analyzing complex curves and for applying mathematical models to real-world scenarios.

For a complete collection of terms related to functions and relations click on this link: Functions and Relations Collection

Common Core Standards CCSS.MATH.CONTENT.8.F.A.1, CCSS.MATH.CONTENT.8.F.B.5, CCSS.MATH.CONTENT.HSF.IF.A.1, CCSS.MATH.CONTENT.HSF.IF.A.2, CCSS.MATH.CONTENT.HSF.IF.C.7, CCSS.MATH.CONTENT.HSF.BF.A.1, CCSS.MATH.CONTENT.HSF.BF.B.3, CCSS.MATH.CONTENT.HSF.BF.B.4
Grade Range 6 - 9
Curriculum Nodes Algebra
    • Functions and Relations
        • Relations and Functions
Copyright Year 2021
Keywords definition, function, relations, glossary terms