Geometry

Course Overview

This Geometry course builds students’ understanding of shapes, spatial reasoning, and the relationships between different geometric figures. Students will learn essential geometry concepts and skills through hands-on activities, visual modeling, and real-world applications.

Topics include points, lines, planes, angles, congruence, similarity, right triangles, circles, and coordinate geometry. The course emphasizes logical reasoning and problem-solving skills, helping students make connections between algebraic and geometric concepts.

You Will Be Able to:

Understand and Apply Polynomial Functions:

• • Identify, analyze, and graph polynomial functions and their properties.
  • Perform operations on polynomials, including addition, subtraction, multiplication, and division.

Solve and Simplify Rational Expressions and Equations:

• • Simplify complex rational expressions.
  • Solve equations involving rational expressions and apply them to real-world problems.

Explore Exponential and Logarithmic Functions:

• • Define and work with exponential and logarithmic functions.
  • Solve equations involving exponential and logarithmic expressions and understand their applications.

Analyze and Solve Systems of Equations and Inequalities:

• • Solve systems of linear and nonlinear equations using multiple methods (graphing, substitution, elimination).
  • Apply systems of equations to solve real-world problems.

Understand and Use Matrices in Problem Solving:

• • Perform matrix operations and understand matrix properties.
  • Use matrices to represent and solve systems of linear equations.

Work with Complex Numbers:

• • Understand the concept of imaginary numbers and complex numbers.
  • Perform operations with complex numbers and solve equations that involve them.

Study Sequences and Series:

• • Define arithmetic and geometric sequences and series.
  • Apply formulas to find specific terms and sums of sequences.

Analyze Conic Sections:

• • Identify and analyze the graphs and equations of parabolas, ellipses, circles, and hyperbolas.
  • Solve problems involving conic sections in practical contexts.

Develop Critical Thinking and Problem-Solving Skills:

• • Use algebraic methods to interpret and solve real-life problems.
  • Strengthen analytical thinking and mathematical reasoning abilities.

Preparation for Advanced Mathematics:

• • Gain foundational knowledge for calculus, trigonometry, and other higher-level math courses.