Big Ideas:
Quadratic relations often arise in certain real-world applications, including optimization problems (such as optimizing the area of a rectangle with a fixed perimeter). The domains and ranges of quadratic relations are often selected in order to reflect a particular modeling context.
In this lesson, students will create a table of values for a quadratic area function to understand why the context of the problem places restrictions on the domain and range of the quadratic function and on its inverse.
Vocabulary: square, square root, area, inverse, domain, range
Lesson plan