Linear Equations: Concepts and Skills

How does the graph of a system of linear equations in two variables show the solution to that system? How is the perimeter of a rectangle related to its side lengths? Equations and inequalities are powerful tools allowing us to communicate mathematical relationships, solve problems, and model phenomena. In particular, linear equations and inequalities are useful for finding measurements in a geometric figure, exploring how constraints on production could impact business profits, or analyzing a myriad of other situations. In M101 Linear Equations: Concepts and Skills, you will reason about linear equations and develop fluency with graphical and other methods to determine solutions, using technology as an aid. Understanding linear equations and inequalities helps understand quadratic, exponential, and other equation types, as well as modeling and problem-solving in a variety of increasingly complex contexts. Linear equations and inequalities are useful for careers in a variety of fields, like the sciences, medicine and healthcare, business, and engineering.

Suggested prerequisites for this badge: comfort with solving simple equations and problems involving proportional relationships.

This badge is suggested as a prerequisite for: M112 Modeling with Two-Variable Measurement Data; M154 Coordinate Geometry.

XQ has developed a project-based unit aligned to Badge 101 as a part of the XQ Math Algebra 1 course. Find a teacher guide, content overview, and project overview for _Module 2 - Is More Really Less?_ under Learning Principles and Learning Activities, below. You can access the full folder of module materials HERE.