Students will explore the fundamental concepts of algebra, including its historical development and its relevance in the modern world. They will learn the basic algebraic notation, understand the importance of variables, and become familiar with the properties of real numbers.

Students will learn to manipulate and perform basic operations on algebraic expressions, such as addition, subtraction, multiplication, and division. They will simplify expressions, apply the order of operations, and develop an understanding of the properties of exponents and polynomials.

Students will explore the concept of linear equations and inequalities. They will learn to solve linear equations, understand the properties of equality, and apply various problem-solving techniques to find solutions. Additionally, students will explore the graphical representations of linear equations and inequalities.

Students will learn to solve systems of equations using methods such as substitution, elimination, and matrix techniques. They will also explore applications of systems of linear equations, including real-world problem-solving scenarios.

Students will learn to graph quadratic functions, identify their key characteristics, and solve quadratic equations using various methods, including factoring, completing the square, and the quadratic formula. They will also explore applications of quadratic equations, such as in optimization problems and physical phenomena.

Students will explore rational and radical functions, which are essential in understanding more advanced algebraic concepts. They will learn to simplify, graph, and solve rational and radical equations, developing a deeper understanding of the properties and behaviors of these functions. This chapter also highlights the practical applications of rational and radical functions in various fields.

Students will learn to identify different types of functions, such as linear, quadratic, and exponential, and explore their characteristics and behaviors. They will also develop skills in transforming and combining functions, preparing them for more complex algebraic manipulations.

The final chapter of the course focuses on equipping students with powerful problem-solving strategies and applying their algebraic knowledge to real-world scenarios. Students will learn to interpret word problems, identify the relevant information, and devise appropriate algebraic models to find solutions. This chapter emphasizes the importance of critical thinking and the ability to translate practical problems into mathematical representations.