Algebra II

Course Overview

Algebra II is an advanced high school mathematics course that builds upon the foundational concepts of Algebra I. It explores complex mathematical relationships and enhances analytical problem-solving skills.

This course covers various topics, including polynomial functions, rational expressions, exponential and logarithmic functions, systems of equations, matrices, complex numbers, sequences and series, and conic sections. The course also emphasizes real-world applications of algebraic concepts, preparing students for future studies in advanced math, science, and technology.

You Will Be Able to:

Understand and Use Algebraic Language

• • Demonstrate proficiency in algebraic expressions, including understanding variables, constants, and coefficients.
  • Simplify and manipulate algebraic expressions using properties of operations.

Solve Linear Equations and Inequalities

• • Solve single-variable linear equations and inequalities, including those involving absolute values.
  • Graph solutions of linear inequalities on a number line.

Analyze and Graph Linear Functions

• • Understand the concept of a function and use function notation.
  • Graph linear functions and analyze their properties, including slope and intercepts.

Work with Systems of Equations

• • Solve systems of linear equations using graphing, substitution, and elimination methods.
  • Interpret solutions to systems of equations in context.

Explore Polynomials and Factoring

• • Perform operations with polynomials, including addition, subtraction, multiplication, and division.
  • Factor polynomials by finding the greatest common factor and using methods like grouping and the difference of squares.

Understand Quadratic Equations

• • Solve quadratic equations by factoring, completing the square, and using the quadratic formula.
  • Graph quadratic functions and interpret their key features, including vertex, axis of symmetry, and roots.

Simplify and Manipulate Rational Expressions

• • Simplify rational expressions by identifying and canceling common factors.
  • Solve equations that involve rational expressions and understand their applications.

Apply Algebra to Real-World Problems

• • Translate real-world situations into algebraic expressions and equations.
  • Use algebra to model, analyze, and solve practical problems.

Build Mathematical Reasoning Skills

• • Develop reasoning and critical thinking skills to justify steps in solving equations and inequalities.
  • Practice and apply logical arguments to support conclusions and solutions.

This course is designed to support the development of students’ abstract thinking and problem-solving abilities, which are essential for advanced studies and practical applications in various disciplines.