The study of mathematical symbols and the many varied rules for manipulating these symbols. Algebra and algebraic principles appear in almost all forms of mathematics and is considered a single unifying thread throughout. It includes the study of abstractions such as fields, rings, and groups as well as simple equation solving.

Mathematics that is focused on questions of size, figures, shape, and the specific properties of space. This school of mathematics appeared and began to grow as a body of knowledge concerned with elements of mathematical science such as volumes, lengths, and areas. After René Descartes introduced the concept of coordinates geometry could then represent figures such as plane curves analytically.

A course that contains both college level trigonometry and algebra specifically designed to help students prepare for the study and understanding of calculus. Trigonometry and algebra are prerequisites for precalculus as they are essentially the basic building blocks in constant use.

A branch of study that includes triangles, angles, lengths and the relationships therein. The word Trigonometry means “triangle measure” and arose in the 3rd century by combining astronomical studies and geometry. Algorithms used to determine and predict the lengths and value of certain angles launched trigonometry as a school of thought distinct from others.

Although not a distinct branch of mathematics, pre-algebra is a course often taught in middle school in The United States. As the name implies the objective of the course is to prepare students for algebra. The course usually includes natural numbers, negative numbers, fractions, decimals, integers, arithmetic, operations, factorization, basic equations, rules for invariant manipulation of equations and much more. Pre-algebra may include subjects from geometry, especially subjects that further understanding of algebra in applications to area and volume.

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