• Mathematics

     
    The primary objective of the department is to develop in all our students analytical and critical thinking skills that will better prepare them to meet success in their daily lives. Another goal is to prepare the students of RCHS for admission to college. The use of the calculator in problem solving will be stressed. All students are required to obtain a scientific or graphing calculator. Those who are rostered for Pre-Calculus and Calculus must purchase a graphing calculator, preferably a TI-83 or TI-83 PLUS. Underclassmen who will be taking these courses later are encouraged to start using these calculators early in their careers, as this will allow them to become more comfortable in the use of this type of calculator.
     
     
     
    COURSE SEQUENCE
     
    Yr.
     Honors
    Track 2
    Track 3
    9th
    Honors Algebra I
    Algebra I
    Algebra I
    10th 
    Honors Geometry
    Geometry
    Geometry
    11th 
    Honors Algebra II and Honors Pre-Calculus
    Algebra II
    Algebra II
    12th
    A.P. Calculus or
    Honors Calculus
    Pre-Calculus
    Trigonometry
     

    GRADE 9
    HONORS ALGEBRA I TRACK 1 (311) 
    This course meets the needs of those students who have superior mathematical capabilities, as demonstrated by their performance on the RCHS placement test, the Terra Nova test, and the recommendation of their grade school. It introduces the important aspects of algebra and develops an appreciation of civilization’s dependence on mathematics. Topics from geometry will be introduced.
     
    ALGEBRA I
    TRACK 2 (312)
    This course meets the needs of those students who have an above average ability in mathematics as demonstrated by their performance on the RCHS placement test, the Terra Nova test, and the recommendation of their eighth grade teachers. It introduces the important aspects of algebra and develops an appreciation of civilization’s dependence on mathematics.

    TRACK 3 (313)
    This course meets the needs of those students who have an average ability in mathematics, as demonstrated by their performance on the RCHS placement test, the Terra Nova test, and the recommendation of their eighth grade teachers. The students will receive a firm mathematical foundation, which will significantly contribute to their ability to function effectively in a technical environment.
     
    GRADE 10
    HONORS GEOMETRY
    TRACK 1 (339)
    For students with advanced mathematical capabilities, this course covers terminology, construction, and reasoning, as well as distance, area, volume, congruence, and similarity. Solid geometry, coordinate, and space geometry are treated. Critical thinking is an integral part of the course. The course must be taken along with Sophomore Honors Biology or Junior Honors Physics.
     
    GEOMETRY
    TRACK 1 (321)
    A comprehensive course in plane geometry, this course covers terminology, construction, and reasoning, as well as distance, area, volume, congruence, and similarity. Solid geometry, coordinate, and space geometry are treated. Critical thinking is an integral part of the course.
     
    TRACK 2 (322)
    Terminology, construction, and reasoning are used with triangles and circles. Congruence, similarity, area, and volume are stressed. Proofs are introduced. Solid geometry is treated. Critical thinking is a very important part of this course.
     
    TRACK 3 (323)
    This course provides a useful mathematical foundation for those whose plans include attendance at a business school or in a program of a technical nature. Generally, content is comparable to that of the higher tracks, but the material is presented in a manner that allows the student to learn at his own pace. Greater effort is placed in practice and reinforcement of important concepts; remediation is used as needed.
     

    GRADE 11

    HONORS ALGEBRA II
    TRACK 1 (325)
    This course builds on the foundation laid in Honors Algebra I, providing a continuation in quadratics, complex numbers, and simultaneous equations. Students will study conic sections, probability, matrices, and the fundamentals of plane and solid geometry. The course must be taken along with Honors Chemistry.
    ALGEBRA II
    TRACK 2 (332)
    An intermediate course for those students with above average abilities in mathematics who are preparing for college. The course continues where Algebra I finishes and introduces quadratics, complex numbers, simultaneous equations, the parabola, circle, ellipse, and hyperbola. Stress is placed on solving word problems.
    TRACK 3 (333)
    This course prepares students for college who have average abilities in mathematics. It reviews and strengthens the concepts treated in Algebra 1, especially equations of first and second degree. Irrational numbers and the quadratic formula are introduced. Stress is placed on applying algebraic equations to everyday life.
     
     
    HONORS PRE-CALCULUS
    TRACK 1 (331)
    This course is taken in junior year by those students who have completed Honors Algebra I and II. It prepares the students for the rigors of A.P. Calculus senior year. The properties of trigonometric functions and their graphs, trigonometric identities and equations, the Laws of Sines and Cosines, and vector applications are covered along with the properties of exponential and logarithmic functions, the straight line and conic functions. All students are required to have a TI-83 graphing calculator for the course.
     
    GRADE 12
     
    AP CALCULUS  TRACK 5 (345)
    PREREQUISITE: Approval of department chair
    A.P. Calculus deals with the differentiation and integration of the algebraic, trigonometric and other transcendental functions and their applications, including curve sketching, optimization problems areas, volumes, and related rates. All students will be required to take and pay for the Advanced Placement Examination in May. All students must have and use a TI-83 Plus graphing calculator.
     
    HONORS CALCULUS
    TRACK 1
    PREREQUISITE: Approval of department chair
    Honors Calculus deals with the differentiation and integration of the algebraic, trigonometric and other transcendental functions and their applications, including curve sketching, optimization problems areas, volumes, and related rates. All students are required to have a TI-83 Plus graphing calculator.
     
    HONORS PRE-CALCULUS 
    TRACK 1 (341)
    Pre-Calculus is concerned with the properties of functions and their practical applications, functions in general, and in particular, rational, trigonometric, exponential, and logarithmic functions, trigonometric identities, right triangle trigonometry. The laws of sine and cosine, and vector applications are covered. All students are required to have a TI-83 Plus graphing calculator.
     
    PRE- CALCULUS
    TRACK 2 (342)
    The course is very similar to Honors Pre-Calculus, but more emphasis is on problem solving and less on theory. All students are required to have a TI-83 graphing calculator.
    TRIGONOMETRY
    TRACK 3 (343)
    This is a two semester course designed to provide the students with the basic understanding of trigonometric functions and their applications. All students are required to have a TI - 83 graphing calculator.