MATHEMATICS

The first verse of the Qur'an, brought down to Prophet Muhammad began with the command "Read." Attaining knowledge and observing the world around us is an integral part of Islam and Islamic teachings. Early Muslims, intrigued by the world around them, and keen to uphold all religious observances, ventured into areas of science and math. To fulfill religious obligations of fasting and praying, they used astronomy to determine the times of the day when prayers needed to be done. Moon sighting required advanced spherical geometric concepts which branched into other areas like Algebra and Calculus. Geometry and geometric shapes are not only part of Islamic culture, but a critical component of Islamic architecture for the last 1500 years. Students are able to gain an appreciation for geometry from an Islamic perspective. Students also learn about the significance of the Islamic contribution to the development of Algebra and its impact on the field of mathematics.

Geometry

Geometry is studied as a mathematical system through the deductive development of relationships in the plane and space. Students are able to formalize their understanding of geometric concepts. Topics include: (1) congruence and similarity; (2) circle chords, secants and tangent segments; (3) parallel and perpendicular lines; (4) angle and side measures in polygons; (5) proofs, logic and transformations; (6) the Pythagorean Theorem; (7) constructions, coordinate geometry, surface area and volume of solids. The student will demonstrate the ability to solve mathematical and real-world problems using measurement and geometric models and will justify solutions and explain processes used.

Algebra II

Algebra II is a course that extends the content of Algebra I and provides further development of
the concept of a function. It is the study of the complex number system and functions. Real-world problems are discussed, represented, and solved using advanced algebraic techniques. Topics include: (1) relations, functions, equations and inequalities; (2)conic sections; (3) polynomials; (4) algebraic fractions; (5) logarithmic, exponential and radical functions; (6) sequences and series; and (7) counting principles .

Pre-Calculus

Pre-calculus completes the formal study of the elementary functions begun in Algebra 1 and Algebra 2. Students focus on the use of modeling, and problem solving. Functions studied include: (1) polynomial, (2) exponential, (3) logarithmic, (4) rational, (5) piece-wise, (6)trigonometric and circular functions and their inverses. Parametric equations, vectors, and infinite sequences and series are also studied.