Fundamentals of Mathematics

The online course "Fundamentals" is designed as the first step towards algebra, bridging the gap between arithmetic and algebra over a two-year period, followed by Pre-Algebra. In this course, students delve into operations with negative numbers, both as fractions and decimals, and explore proportional relationships, eventually introducing them to variables in algebraic expressions. Geometry plays a significant role as students learn to classify angles, solve for similarities between shapes, calculate areas and circumferences of circles, and determine volumes and surface areas of composite 3D figures. The course also introduces students to probability concepts. Problem-solving strategies, such as Eliminate Possibilities, Work Backwards, and Unit Analysis, are practiced throughout. Portfolio projects are incorporated to deepen understanding, appreciate mathematical applications in real-life and God's creation, and explore real-world applications.

The course is taught through a blend of methods, including Socratic-style discussions, hands-on activities, and occasionally short lectures. The teaching approach aims to minimize lecturing, especially before high school. Students are encouraged to work independently on concepts both in and out of class, with assessments designed to deepen learning rather than merely regurgitate previous homework. To be adequately prepared, students should have mastered absolute value, multi-digit whole number multiplication and division, fraction and mixed number division, percent and fraction conversion, graphing on the coordinate plane, one-step equation solving, and mean, median, and mode calculations.