Foundational Mathematics: Algebra and Geometry

Many struggles in higher-level math stem from gaps in fundamental knowledge. This course provides a complete, structured foundation in core mathematical concepts necessary for academic success. By the end of this course, you will have a solid conceptual understanding of the rules governing numbers, shapes, and variables, enabling you to confidently approach complex problems and future academic subjects. What you'll learn: * Understand the properties of real numbers, integers, and rational numbers, including order of operations and exponents. * Master linear equations and inequalities, practicing methods for solving systems of algebraic expressions. * Apply geometric theorems to calculate properties of basic shapes, lines, angles, and triangles. * Learn the principles of coordinate geometry to graph linear functions and understand spatial relationships. * Practice fundamental set theory and logical reasoning, essential skills for computational thinking and proof construction. * Analyze polynomials and factor algebraic expressions using standard techniques. The content begins with defining foundational terminology and progresses systematically through number theory, algebraic manipulation, and practical applications in Euclidean geometry, supported by extensive written examples and practice problems. This course is designed exclusively for beginners who need a complete introduction to foundational mathematics; no prior knowledge beyond basic arithmetic is required. Start building your mathematical confidence today and unlock your potential for analytical thinking.