Monacan High School

Chesterfield County Public Schools


MA320 ALGEBRA 1 One Credit
The standard Algebra 1 course incorporates all of the foundation skills that are necessary for students to pursue college preparatory mathematics in high school. The properties of and operations on numbers are extended to include the development of the real number system. Sets, equations, inequalities, exponents, polynomials, functions, graphing, systems of equations, and quadratics are the major topics of study. Additionally, the ability to make comparisons of one-variable data sets using statistical techniques including measures of central tendency, range, and box-and-whisker graphs is an expectation for all students in Algebra 1. Graphing calculators will be utilized to enhance the understanding of functions and provide a powerful tool for solving and verifying solutions to equations and inequalities. Other existing and emerging technologies are used as tools to facilitate the problem solving process, data analysis techniques, and graphing.

MA330 GEOMETRY One Credit
Geometry is a unified study of plane, solid, and coordinate geometric concepts which provides students with the prerequisite skills that will facilitate the study of advanced mathematics. Investigations of lines, planes, congruencies, similarities, geometric inequalities, parallelism, perpendicularity, polygons, areas, volumes, circles, and three dimensional figures are incorporated to provide a complete course of study. Formal and informal deductive reasoning skills are developed and applied to the construction of formal proof. Opportunities are provided for discovery learning through hands-on activities and experiences that allow for utilizing computer software to explore major concepts and develop problem solving skills. Pre-requisites: Algebra 1

The Honors Geometry course is a unified study of plane, solid, and coordinate geometry. The curriculum includes the study of lines, planes, congruencies, geometric inequalities, perpendicularity of lines and planes in space, parallel lines and planes, polygons, polyhedral, area, volume, similarity, coordinate and transformational geometry, circles, and spheres. Every effort is made to incorporate advanced technology into the curriculum through the use of calculators and computers. The intent of this course is to frame a curriculum that ensures the development of broad mathematical power and which cultivates students’ abilities to explore, conjecture, reason logically, formulate and solve problems, and communicate mathematically. Pre-requisites: Algebra 1

Through the investigation of mathematical models, students will strengthen conceptual understandings in mathematics and develop connections between statistics and algebra. This course introduces new material through problems that lead to rigorous investigation of advanced algebra and statistics. Topics include exponential and logarithmic functions, linear programming, conditional probability, probability density functions and z-scores. The curriculum is aligned to the Virginia Standards of Learning for Algebra, Functions and Data Analysis. Pre-requisites: Algebra 1 and Geometry

MA340 ALGEBRA 2 One Credit
Algebra 2 extends the concepts that students have encountered in previous coursework and provides a thorough treatment of advanced algebraic concepts. Emphasis will be placed on practical applications, logic of procedures, and interpretation of results. Graphing calculators and computers will enhance the students’ understanding. Students will be expected to communicate and practice mathematical ideas appropriately. Pre-requisites: Algebra 1 or Geometry

Algebra 2/Honors extends the concepts that students have encountered in previous coursework and provides a thorough treatment of advanced algebraic concepts. Emphasis will be placed on practical applications, logic of procedures and interpretation of results. Students routinely use calculators as a tool when dealing with solutions to problem situations. Students will be expected to communicate and practice mathematical ideas appropriately. Pre-requisites: Algebra 1 or Geometry

Trigonometry/Analysis allows students to extend their Algebra II skills to advanced topics including mathematical induction, matrix algebra, vectors, and the binomial expansion. A detailed treatment of function concepts deepens abilities to deal concretely and abstractly with mathematical topics. Additionally, the fundamentals of triangle and circular trigonometry are presented with an emphasis on graphing, establishing identities, developing special angle formulas, utilizing the Laws of Sines and Cosines, and polar coordinates. The course of study is enhanced by making connections of the concepts presented to other disciplines. Students routinely use graphing calculators as tools for exploratory activities and for solving rich application problems. Pre-requisites: MA340 Algebra 2

Trigonometry/Analysis students use mathematical skills from previous courses and apply abstract reasoning to the study of advanced topics. This course provides a thorough treatment of trigonometry through the study of trigonometric definitions, graphs, applications, equations, and inequalities. Trigonometry is approached from the perspective of triangular and circular functions. Students routinely use calculators as a tool and will be expected to communicate and practice ideas appropriately. Pre-requisites: MA340 Algebra 2

Advanced Placement Calculus AB explores the topics of limits/continuity, derivatives, and integrals. These ideas are examined using a multi-layered approach including the verbal, numerical, analytical, and graphical analysis of polynomial, rational, trigonometric, exponential, and logarithmic functions and their inverses. The student will be expected to relate the connections among these approaches. Students will also be required to synthesize knowledge of the topics of the course to solve applications that model physical, social and/or economic situations. These applications should emphasize derivatives as rates of change, local linear approximations, optimizations and curve analysis, and integrals as Riemann sums, area of regions, volume of solids with known cross sections, average value of functions, and rectilinear motions. Teachers should consult (yearly) the AP Board for changes in curriculum and emphasis of particular topics. As mandated by the College Board, graphing calculators will be required. College credit and/or advanced placement in college is available to those students receiving a qualifying score on the Advanced Placement Examination. Pre-requisites: MA352 Trigonometry/Analysis

The semester course in probability and statistics develops the basic principles of data collection and numerical analysis. Specific topics in the course of study include measures of central tendency, experimental and theoretical probability, combinations, and sampling theory. Throughout the course, students are encouraged to make use of available technologies to assist in organizing and interpreting data and to understand the usefulness of emerging technologies as tools for solving problems. Through meaningful activities and simulations, students are provided with experiences that will model the means by which data are collected, used, and analyzed. Pre-requisites: MA340 Algebra 2

MA372 DISCRETE MATH One-half Credit
Discrete Math is the study of math properties of sets and systems that have a countable (discrete) number of elements. With the advent of modern technology, discrete (discontinuous) models have become as important as continuous models. This course includes graph theory, linear programming, matrix modeling, and social decision making. Pre-requisites: MA340 Algebra 2

SAT Math Preparation is designed to familiarize students with the Scholastic Assessment Test. In this course students review arithmetic, algebra, geometry, and Algebra 1 topics that are frequently found on the SAT test. Students examine test-taking strategies, become familiar with the format of the test, and experience the SAT process under simulated conditions while taking practice tests. These experiences are valuable to students as they encounter problems that are unique to the Scholastic Aptitude Test. Instructors continuously receive updates relative to the test and inform students of the latest adjustments in content, format, and scoring. Pre-requisites: Geometry

Computer Mathematics provides students with experiences in workplace computer applications, personal finance, essential algebra skills necessary for college mathematics, and computer programming techniques and skills. Students will solve problems that can be set up as mathematical models. Programming concepts, problem-solving strategies, and mathematical applications will be integrated throughout the course. Students who successfully complete the standards for this course may earn credit toward meeting the mathematics graduation requirement. Pre-requisites: Algebra 1 and Geometry