Designed to introduce students to the foundational concepts of algebraic thinking. Throughout the course, students will explore variables, expressions, equations, and functions. Students will learn to solve linear equations and inequalities, analyze and graph functions, and apply algebraic concepts to solve real-world problems.
Includes field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; graphing of constant, linear, and quadratic equations; properties of higher degree equations; and operations with rational and irrational exponents.
Includes the study of derivatives, differentiation, integration, the definite and indefinite integral, and applications of calculus. Typically, students have previously attained knowledge of pre-calculus topics (some combination of trigonometry, elementary functions, analytic geometry, and mathematical analysis).
The course covers advanced algebraic concepts that are essential for success in higher-level mathematics and many college degree programs. Topics include a deeper exploration of functions, polynomial and rational expressions, exponential and logarithmic functions, systems of equations, matrices, and sequences and series. Emphasis is placed on solving complex equations, modeling real-world phenomena, and using technology to analyze data.
Formal approach to the study of geometry, typically include topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles.
Designed to provide a strong foundation in basic mathematical concepts and prepare students for success in Algebra I and other advanced math courses. The course focuses on essential skills such as working with integers, fractions, decimals, and percentages. Students will explore topics including ratios and proportions, basic geometry, the coordinate plane, and solving simple equations and inequalities. Through problem-solving activities and real-world applications, students will develop critical thinking and reasoning skills.
Combines the study of Trigonometry, Elementary Functions, Analytic Geometry, and Mathematical Analysis topics as preparation for calculus. Topics typically include the study of complex numbers; polynomial, logarithmic, exponential, rational, right trigonometric, and circular functions, and their relations, inverses and graphs; trigonometric identities and equations; solutions of right and oblique triangles; vectors; the polar coordinate system; conic sections; Boolean algebra and symbolic logic; mathematical induction; matrix algebra; sequences and series; and limits and continuity.
Reinforces general mathematics topics (e.g., arithmetic, measurement, statistics, ratio and proportion, exponents, formulas, and simple equations) by applying these skills to business problems and situations. Applications might include wages, hourly rates, payroll deductions, sales, receipts, accounts payable and receivable, financial reports, discounts, and interest.