Curriculum - Mathematics
MATHEMATICS DEPARTMENT
Four (4) Credits of Math Required for Graduation (Class of 2011 onward)
Course Number: 1200310
Course Title: Algebra I
Pace Number: 211/209*
Grade: 9
Note: Mastery of Basic Mathematical Skills
1 credit
Major concept. The purpose of this course is to develop the algebraic concepts and processes, which can be used to solve a variety of real world and mathematical problems.
The content should include, but not be limited to the following: variables/structure and properties of the real number system/first degree equations and inequalities/relations and functions/graphs, systems of linear equation and inequalities, integral exponents, polynomials, factoring, rational algebraic expressions, irrational numbers, radical expressions and quadratic equations.
Course Number: 1200320
Course Title: Algebra I Honors
Pace Number: 212
Grade: 9
Note: Placement Based on Entrance Exam and Placement Test Results
1 credit
Major concept. The purpose of this course is to provide a rigorous and in-depth study of algebra, emphasizing deductive reasoning skills, as a foundation for more advanced mathematics courses and to develop the skills needed to solve real world and mathematical problems.
The content should include, but not be limited to the following:variables/structure and properties of the real number system/first-degree equations and inequalities/relations and functions/direct and inverse variation/polynomials and functions/rational and irrational algebraic expressions and exponents/quadratic equations and functions/graphs/systems of linear equations and inequalities/integral exponents/factoring/quadratic equations and inequalities and functions/complex numbers/logarithms/word problems.
Course Number: 1200540
Course Title: Algebra II Honors
Pace Number: 232
Grade: 9
Note: Placement Exam
1 credit
Major concept. The purpose of this course is to continue the rigorous and in-depth study of algebra and to provide the foundation for applying algebraic skills to other mathematical and scientific fields.
The content should include, but not be limited to the following: structure and properties of the complex number system/equations and inequalities/systems of equations and inequalities, functions, relations, and graphs/polynomial functions/real number exponents/logarithmic and exponential functions/rational and irrational expressions/conic sections/arithmetic and geometric sequences and series/permutations, combinations, and probability/matrices.
Course Number: 1206310
Course Title: Geometry
Pace Number: 221/223*
Grade: 10
Prerequisite: Algebra I
1 credit
Major concept. The purpose of this course is to develop the geometric relationships and deductive strategies, which can be used to solve a variety of real world and mathematical problems.
The content should include, but not be limited to the following: logic, deductive arguments/undefined terms/similarity/congruence/parallelism and perpendicularity/segments and angles/two-and-three-dimensional figures/perimeter, area, and volume/constructions/coordinate geometry and transformations.
Course Number: 1206320
Course Title: Geometry Honors
Pace Number: 222
Grade: 10
Prerequisite: B in Algebra I Honors
1 credit
Major concept. The purpose of this course is to continue the rigorous and in-depth study of geometric relationships and deductive strategies, which can be used to solve a variety of real world and mathematical problems.
The content should include, but not be limited to the following: logic, deductive arguments and proofs/segments and angle, two-and-three dimensional figures, perpendicularly and parallelism, similarity, congruence, constructions, perimeter, area, and volume, topology, coordinate and transformational geometry, non-Euclidean geometries, locus, trigonometry of right triangle, fundamental operations applied to related algebraic and trigonometric/expression/functions of angles of any size/relationships/equations: identities and conditional equation.
Course Number: 1200330
Course Title: Algebra II
Pace Numbers: 231/234*
Grade: 11
Prerequisite: Algebra I and Geometry
1 credit
Major concept. The purpose of this course is to continue the study of the structure of algebra and to provide the foundation for applying these skills to other mathematical and scientific fields.
The content should include, but not be limited to the following: review and extension of the structure and properties of the real number system/relations, functions, and graphs/polynomials and rational expressions/quadratic equations and inequalities/polynomial functions/rational and irrational exponents/ logarithms/complex numbers/word problems.
Course Number: 1202340
Course Title: Pre-Calculus Honors
Pace Number: 233
Grade: 12
Prerequisite: Teacher Recommendation and A average in Algebra II
1 credit
Major concept. The purpose of this course is to emphasize the study of functions and other skills necessary for the study of calculus.
The content should include, but not be limited to the following:polynomial, rational, exponential, inverse, logarithmic, and circular functions/sequences and series/concept of limits/vectors/conic sections/polar coordinate systems/symbolic logic/mathematical induction/matrix algebra.
Course Number: 1201310
Course Title: Analysis of Functions
Pace Number: 246/247*
Grade: 11-12
Prerequisite: C or better in Algebra II
1 credit
Major concept. The purpose of this course is to enable students to develop advanced mathematics knowledge and skills in Algebra, Trigonometry, and statistics and probability, using functions as a unifying theme.
The content should include, but not be limited to the following: statistical measures, distributions and graphs, polynomial and rational functions, trigonometric and circular functions, exponential and logarithmic functions, probability measures and distribution.
Course Number: 1201300
Course Title: Mathematical Analysis Honors
Pace Number: 244
Grade: 11-12
Prerequisite: A or high B average in Algebra II
1 credit
Major concept. The purpose of this course is to develop and supplement the understanding of advanced topics below the level of calculus.
The content should include, but not be limited to the following: polynomial and rational functions/exponential and logarithmic functions/sequences and series/mathematical induction/symbolic logic and set theory/matrix algebra/the concept of limits and continuity/vectors/probability and statistics/trigonometry/conics.
Course Number: 1210300
Course Title: Probability and Statistics w/Applications
Pace Number: 243
Grade: 11-12
Prerequisite: C Average in Algebra II
1 credit
Major concept. The purpose of this course is to explore the concepts of probability, elementary statistics, and hypothesis testing.
The content should include, but not be limited to the following: binomial distribution, combinations and permutations, concepts of descriptive statistics, concepts of inferential statistics, concepts of non-parametric statistics, correlation and regression, hypothesis testing, measures of central tendency, normal distribution, randomness, sampling theory.
Course Number: 1202300
Course Title: Calculus Honors
Pace Number: 248
Grade: 12
Prerequisite: B Average in Pre-Calculus Honors
1 credit
Major concept. The purpose of this course is to provide a foundation for the study of advanced mathematics.
The content should include, but not be limited to the following: elementary functions, limits and continuity, derivatives, differentiation, applications of the derivative, anti-derivatives, definite integral and applications of the integral.
Course Number: 1202310
Course Title: Advanced Placement Calculus A
Pace Number: 249
Grade: 12
Prerequisite: A Average in Pre-Calculus Honors and Department Head approval
Note: Must take AP Exam & Final
1 credit
Major concept. The purpose of this course is to study algebraic and transcendental functions and the general theory and techniques of calculus.
The content should include, but not be limited to the following: identify and apply properties of algebraic, trigonometric, exponential, and logarithmic functions/apply the concept of limits to functions/find derivatives of algebraic; trigonometric, exponential, and logarithmic functions/find derivatives of the inverse of a function/define the relation between differentiability and continuity/apply derivatives to find the slope of a curve and tangent and normal lines to a curve/identify increasing and decreasing functions, relative and absolute maximum and minimum points, concavity, and points of inflection/find anti-derivatives/apply anti-derivatives to solve problems related to motion of bodies/use the techniques of integration/find approximation to definite integrals using rectangles/apply knowledge of integral calculus to find the area between curves and the volume of a solid of revolution.
*Class sizes are smaller and accommodations are made to address students’ learning needs.