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Math 4 HonorsName ___ Lesson 13: Parametric EquationsDate ___Learning Goals: I can write and graph parametric equations. I can convert parametric equations into rectangular form. I can solve applications
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How to fill out rectangular vs parametric formsequation

01
Rectangular form equation:
02
Identify the given information about the equation, such as points or slope.
03
Use the given information to write the equation in the form y = mx + b.
04
Substitute the known values into the equation to find the unknown values of m and b.
05
Parametric form equation:
06
Determine the parameter t that represents the variable or variables in the equation.
07
Write each coordinate of the equation in terms of the parameter t.
08
Express the equation using the parameter t instead of x and y coordinates.

Who needs rectangular vs parametric formsequation?

01
Engineers who work with geometric or physical problems requiring the use of equations.
02
Physicists who need to describe the motion of objects in space using mathematical equations.
03
Mathematicians studying the relationship between different forms of equations.

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Rectangular forms are equations that represent shapes using x and y coordinates, while parametric forms express shapes using one or more parameters, allowing for more flexible and complex shapes.
Individuals and entities involved in activities that require reporting or compliance with specific regulations, such as businesses and certain professionals, are typically required to file these forms.
To fill out these forms, ensure you understand the required data fields, gather the necessary information, and follow the specified format for either rectangular or parametric representation, providing accurate details as needed.
The purpose of these forms is to provide a structured way to report geometric or spatial data, ensuring accurate representation of shapes for analysis, compliance, or regulation.
Typically, this includes specific values for coordinates, parameters, dimensions, and any other relevant mathematical details necessary for the assessment of the defined shapes.
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