The major concepts covered in Math Fundamentals include decimals, fractions, percents, ratios, geometry, introductory algebra, and working with data. We teach this course with the assumption that all students are adept at multiplication and division and have some basic background knowledge of decimals, fractions, and percents. The course combines individual and group work, individual skills mastery, group conceptual attainment, and continual dialogue about the most vital concepts necessary to build a solid mathematical foundation.
Pre-Algebra builds on the foundation of general math concepts and fundamentals such as fractions, ratios, proportions, probability, percents and their applications, positive and negative numbers, and converting to and from decimals. This course also includes and integrates both algebra and geometry skills and concepts. Students are introduced to basic problem-solving skills, the order of operations, variables, and expressions. They also learn how to solve multi-step equations and inequalities and the algebraic functions that accompany them. This course presents absolute value, the (X,Y) coordinate plane, and several algebraic properties. These skills prepare students for the Algebra 1 course.
Algebra 1 begins with a review of basic algebraic concepts such as variables, the order of operations and exponents and integrates the development of problem-solving skills throughout the course. Students receive a thorough introduction to functions as well as specialized mathematical vocabulary and mathematical language patterns as well as study concepts such as factoring and graphing. Students learn how to solve linear equations, including multistep equations with multiple variables. They become familiar with writing a linear equation based on the graph of a line and receive a thorough introduction to functions and quadratic equations. By the end of the course, students have all the knowledge necessary to solve and graph equations and inequalities and are able to apply this knowledge to other areas of math, such as word problems, ratios, and proportions.