I believe that mathematics needs to be contextualized in the real world as much as possible to show students the power of mathematics and engage them in learning. This unit tackles a fundamental topic in algebra and endeavors to present it in a relevant way to students. Before students work with abstract variables and systems of equations, they must understand the concepts that lie behind it. As students encounter a variety of word problems, they will learn how to read them for comprehension and to break them down into smaller, more understandable elements, which is an essential practice in all of mathematics. The focus on writing in this unit will force students to think more deeply about their mathematical thinking and find ways to present as coherently as possible. Finally, by creating their own criteria for their writing, students learn to hold themselves and each other accountable to high standards.

As I plan this unit, I am taking into account that students have spent the past quarter graphing, interpreting, and finding the rules of linear equations in their math classes. They have been exposed to multiple representations of linear equations in tables, graphs, and rules, and taught to switch from one representation to another. Thus, this unit also emphasizes multiple representations of balanced equations (visuals/manipulatives, rules, and words).

I’ve recently realized that my students get quickly unengaged when they see no purpose for the math they’re learning. To prevent this, I have tried to make this unit as relevant as possible to their lives, with activities based in a real-world context. Socially, my students love to talk but are not great at helping each other when working in groups. Most of the activities in this unit have been structured as group activities so that students are continually forced to think collaboratively in order to solve the problems.