Introduction
You have learned several different methods to solving quadratic equations. Have you thought to yourself, "How can this be applicable in real world situations?" There are many different instances when quadratic functions and equations can be used to model situations. Some examples include rockets launched, the maximum height of a baseball or other type of ball, profit of a company, and supply and demand.
In addition to exploring applications, you will also encounter equations in this lesson which have decimals. These types of equations might look difficult, but have no fear because you can solve these equations the same way you solve the equations that do not have decimals.
Following successful completion of this lesson, students will be able to...
- Interpret expressions that represent a quantity in terms of its context.
- Create equations and inequalities in one variable and use them to solve problems.
- Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
- Write a function that describes a relationship between two quantities.
Essential Questions
- How can you use functions to model real life problems?
Enduring Understandings
- Students understand how to solve a variety of functions, and the effects of transformations on functions to describe an object.
The above objectives correspond with the Alabama Course of Study Algebra II with Statistics standards: 15, 16, 17, 18, 20, 20a, and 22.