College Preparatory Math (CPM): Our Mathematics course is organized around rich, meaningful daily problems and investigations that lead to deep conceptual understanding of the underlying mathematics in a very deliberate and purposeful structure. The emphasis of the course is on reasoning, critical analysis, mathematical modeling, and gathering evidence; students are active participants in their learning. Extensive justification of thinking and communication of mathematical arguments are constantly expected. Procedures are based upon principles of mathematics rather than memorized algorithms. One of the strengths of the course is its coherence: big mathematical ideas permeate the course and progress, rather than presenting lessons as a series of disconnected topics. Activities and projects in every lesson make connections to real life applications and are a model. Teamwork is also an essential part of the math curriculum. Much of the understanding is gained through the cultivating of collaboration, in order to prepare students with collaborative skills that will ultimately help them in the future. Averroes High school requires that all students complete mathematics up to the Precalculus level. Students who hope to make a career in the fields of Science, Technology and Engineering are required to take Math up to the Calculus level.

Algebra 1

The Algebra course is where students will learn to reason logically and symbolically. The key content involves writing, solving, and graphing linear and quadratic equations, including systems of two linear equations with more than one unknown. In this course quadratic equations are solved by factoring, completing the square, graphically, or by applying the quadratic formula. The roots of the quadratic equations are represented graphically and algebraically as solutions. The course also includes study of monomial and polynomial expressions, inequalities, exponents, functions, rational expressions, ratio, and proportion. Algebraic skills are applied in a wide variety of problem-solving situations. This course motivates the application of algebraic skills to reason logically and symbolically in a quest to solve real world scenarios and problems.

Geometry

Prerequisite: Algebra 1

Geometry is an in-depth study of geometric concepts such as: reasoning and proof, angle relationships, parallel lines, coordinate proof, triangles, polygons, congruence, similarity, quadrilaterals, right triangles and trigonometry, 2-dimensional figures, 3-dimensional solids, circles, transformations, and geometric probability.

Algebra 2

Prerequisite: Geometry

Core Connections Algebra 2 is the third course in a five-course sequence of rigorous college preparatory mathematics that starts with Algebra I and continues through Calculus.  Core Connections Algebra 2 aims to apply and extend what students have learned in previous courses by focusing on finding connections between multiple representations of functions, transformations of different function families, finding zeros of polynomials and connecting them to graphs and equations of polynomials, modeling periodic phenomena with trigonometry, and understanding the role of randomness and the normal distribution in making statistical conclusions.

TI-84/ TI-83 graphing calculator and other technology tools such as ipad is used on a regular basis for investigations.

Precalculus

Prerequisite: Algebra 2

Precalculus is the fourth course in the five course series. This course delves deeper into mathematical theory and application. It introduces many new concepts that challenge students to expand their understanding of mathematics. This course focuses on periodic functions, inverses, exponentials and logarithms, limits, areas under the curve, continuity, concavity, rates of change, polar and parametric systems, vectors, trigonometric functions, and modeling.

TI-84/ TI-83 graphing calculator and other technology tools such as ipad is used on a regular basis for investigations.

Calculus:

Prerequisites: Algebra 2 and precalculus

Calculus is the last and most rigorous course offered, which exposes students to college level mathematics. The course begins with a review of Pre-calculus topics, such as trigonometric functions, domain and range, and composite functions. It then continues to Calculus topics such as Limits and continuity, applications of rate of change such as velocity and acceleration, average velocity and instantaneous velocity, derivatives, and the Power Rule. It then explores Riemann sums, area under the curve, optimization and related rates, implicit differentiation, the mean value theorem, integration, and volumes of rotated objects.

TI-84/ TI-83 graphing calculator and other technology tools such as ipad is used on a regular basis for investigations