M103
Modeling with Functions of Quadratic Type
About This Badge
How can we predict the path of a rocket through the sky? What quantity of sales will maximize business profits? Modeling with functions is a powerful way to gain insight into the world around us. Functions can help us model many situations in nature, society, and business. Get ready to dig into math that can help describe everyday life. In M103 Modeling with Functions of Quadratic Type, you will create and make sense of models in situations that suggest a quadratic relationship. You will solve problems and gain insight into situations like accelerated motion or determining how to produce the best outcome in a model that represents a real-world problem in the workplace, the environment, or society. As you learn about quadratic modeling, you will explore the relationships between the algebraic form of a quadratic function model and the situation it describes. You will use technology as a tool to solve quadratic equations and to understand how the graphs of quadratic functions relate to their algebraic form. The work for this badge builds a foundation for the future study of topics such as polynomials and complex numbers. Modeling with quadratic functions is useful for careers in a variety of fields, like engineering, military, law enforcement, astronomy, car manufacturing, and agriculture.
Suggested prerequisites for this badge: M102 Modeling with Linear Functions and Equations.
This badge is suggested as a prerequisite for: M201 Function Concepts; M202 Rational Exponents and Complex Numbers; M203 Polynomial and Rational Expressions, Functions, and Equations; M204 Exponential and Logarithmic Functions and Equations.
XQ has developed a project-based unit aligned to Badge 103 as a part of the XQ Math Algebra 1 course. Find a teacher guide, content overview, and project overview for _Module 5 - Eco-Enterprise_ under Learning Principles and Learning Activities, below. You can access the full folder of module materials HERE.