What kind of expressions do students manipulate in this module?

In this module, students primarily manipulate polynomial and rational expressions. Polynomial expressions are formed from variables raised to whole number powers combined through addition, subtraction, and multiplication. These expressions are foundational in algebra and are crucial for understanding more complex mathematical concepts.

Rational expressions, on the other hand, are formed by the ratio of two polynomials. Working with these expressions involves skills such as simplifying, adding, subtracting, multiplying, and dividing, which are vital for solving equations and inequalities. Students learn to recognize the characteristics and behaviors of these types of expressions, as well as how to apply them to real-world problems and higher-level math.

Focusing on polynomial and rational expressions provides a strong base for further study in algebra and calculus, making this choice the most relevant to the module's content. The other options, while representing important mathematical concepts, are not the focus of this particular module. Thus, students gain a deeper understanding of algebraic manipulation and its applications through the study of polynomials and rational expressions.