Display Title
Definition--Functions and Relations Concepts--Parametric Equations
Display Title
Parametric Equations
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 |
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Grade Range | 6 - 9 |
Curriculum Nodes |
Algebra • Functions and Relations • Relations and Functions |
Copyright Year | 2021 |
Keywords | definition, function, relations, glossary terms |