Math Problem Statement

MAT201 Mini Midterm Performance Task Conic Creations Your Goal: Your goal is to identify an application of a circle in a real-life scenario. You will graph the relevant part where a circle can be applied and identify its properties, including the general and standard equations. Instructions: A. Identify a Real-Life Scenario: • Choose a real-life scenario where a circle can be applied (e.g., the design of a clock, a Ferris wheel, a roundabout, or a satellite dish). B. Sketch and Design the Application: • Sketch the scenario on a graphing paper, showing where the circle is applied. Be creative and precise in your design! C. Provide the Equation and Identify Properties: • Write the general and standard equations of the circle. • Identify significant properties, such as the radius, center, and any other relevant features. • Show your calculations and solution process in determining these properties from the equation provided. Output Presentation: • Write and sketch your output on graphing paper (General Equation, Standard Equation, Graph, Design/Sketch) • Feel free to utilize online graphing tools or software to aid in the graphing process. • Make sure your work is clear, organized, and visually appealing. Criterion: Your output will be graded based on the following criteria: • Understanding of Concepts: Clear understanding and correct application of the circle's properties and equations. • Application Creativity: Creative and realistic application of the circle in the chosen scenario. • Mathematical Precision and Accuracy: Correct equations, accurate calculations, and precise representation of the circle. • Practicality: Realistic measurements and logical application of the circle in the scenario. • Presentation: Neat, clear, and well-organized presentation of your work.

Solution

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Math Problem Analysis

Mathematical Concepts

Circle
Equations of a Circle
Coordinate Geometry

Formulas

General equation of a circle
Standard equation of a circle

Theorems

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Suitable Grade Level

Grades 10-12