Three credits in mathematics are required for graduation.
Suggested mathematics sequence:
Standard
or Honors:
9th grade Algebra I
or Honors Algebra I
10th grade Geometry
or Honors Geometry
11th grade Algebra II
or Honors Algebra II
12th grade Senior Math,
Advanced Math, or Honors Advanced Math
Honors and AP:
(To follow this track, the student must have
credit in 8th grade Honors Algebra I)
9th grade Honors Geometry
10th grade Honors Algebra II
11th grade Honors Advanced Math
12th grade Honors Calculus or Advanced Placement Calculus
Criteria for registering for an honors math course:
A grade of 85+ in current Honors math
course (1st semester average)
A grade of 95+ in current Standard
math course (1st semester average)
A completed application submitted
to the current math teacher
A recommendation
from the current math teacher
1114
Algebra
I 1 credit
This course
is an introduction to the fundamental concepts involving numbers and variables
and is designed to build upon the pre-algebra foundation that is laid during
the middle school years. Content includes simplifying expressions, translating
from verbal phrases to algebraic expressions, solving equations and systems
of equations, solving inequalities, factoring polynomials, solving quadratic
equations, graphing, solving problems involving linear functions and slopes
of lines, and simplifying radical expressions. Graphing calculators will be
introduced and used consistently throughout the course.
1116
Honors
Algebra I 1 credit
Prerequisite: Student
must meet honors course criteria.
This course is designed to introduce
and develop thoroughly the fundamental concepts of real numbers and variables.
Topics include simplifying real numbers and polynomials, simplifying exponential
and radical expressions, solving equations (linear and non-linear) and systems
of equations, applications of linear functions, and factoring polynomials. This
course is fast-paced and demands students to be good critical thinkers and to
be persistent in solving challenging problems. Integration of algebraic concepts
into other mathematical fields is required. Graphing calculators will be used
consistently throughout the course.
2102
Geometry
1 credit (Limited
enrollment by assignment only.)
Prerequisite: 1114 Algebra I
This
course is designed to build upon the geometry skills gained in the middle
school years and to develop an understanding of the basic structure of plane
and solid geometry. This course includes the integration of algebraic skills
to solve geometric problems and the application of inductive and deductive
reasoning methods in proofs. Topics will include coordinate geometry, right
triangle trigonometry, properties of geometric figures, and application of
area and volume formulas.
2104
Geometry
1 credit
Prerequisite: 1114 Algebra
I or 1116 Honors Algebra I
This course
is designed to build upon the basic geometry skills gained in the middle school
years and to develop an understanding of the basic structure of plane and
solid geometry. This course includes the integration of algebraic skills to
solve geometric problems and the application of inductive and deductive reasoning
methods in proofs. Topics will include coordinate geometry, right triangle
trigonometry, properties of geometric figures, and application of area and
volume formulas.
2106
Honors
Geometry 1 credit
Prerequisite: 1114 Algebra
I or 1116 Honors Algebra I, and fulfillment of honors course criteria.
This
course is designed to develop an understanding of the basic structure of solid
and plane geometry, as well as to develop logic skills and reasoning skills
necessary for problem-solving, critical thinking, and creative solution development.
The content includes the basics of formal geometric proofs, integration of
algebra skills to solve geometric problems, properties of geometric figures,
applications of area and volume formulas, coordinate geometry, and right triangle
trigonometry. The course will involve rigorous mathematics preparation for
college-level mathematics, with an emphasis on justifying conclusions and
making logical arguments. Special emphasis will be placed on integration and
application of mathematical concepts from algebra, geometry, and trigonometry.
3112
Algebra
II (ESS-Grade 11) 1 credit
Prerequisite: 2102 Geometry or 2104 Honors Geometry
This course continues the study of advanced algebraic concepts, including
functions, polynomials, rational expressions, number systems, systems of equations
and inequalities, exponents, logarithms, and matrices. Graphing of functions
and relations as well as practical applications and modeling will be emphasized
in this course. Graphing calculators will be used extensively in instruction
and assessment.
3114
Algebra
II 1 credit
Prerequisite: 2104
Geometry or 2106 Honors Geometry
This course continues the study of advanced
algebraic concepts, including functions, polynomials, rational expressions,
number systems, systems of equations and inequalities, exponents, logarithms,
and matrices. Graphing of functions and relations as well as practical applications
and modeling will be emphasized in this course. Graphing calculators will be
used extensively in instruction and assessment.
3116
Honors
Algebra II 1 credit
Prerequisite: 2104
Geometry or 2106 Honors Geometry, and fulfillment of honors course criteria.
This
course is designed for students who want a more rigorous and challenging approach
to Algebra II. Special emphasis will be placed on using function notation,
finding domain and range of functions, and exploring trigonometric relationships
in the unit circle while mastering the standard Algebra II curriculum. Graphing
of functions and relations as well as practical applications and modeling
will be emphasized in this college-preparatory course. The pace for this course
will be rapid, but course content is to be mastered thoroughly in order for
the student to be prepared sufficiently for Honors Advanced Math and Advanced
Placement Calculus. Graphing calculators will be used extensively.
3124
ACT/SAT Test Preparation 1/2 credit
This one-semester course is designed as intense preparation for taking the ACT and SAT tests. Instruction will include test-taking skills and practice tests. The course will consist of nine weeks of English/reading instruction and nine weeks of math/science reasoning instruction. Since this is a semester course only offered selected times during the day and because it is not paired with any other semester course, students registering for this course must select an alternate course or a study hall in the event scheduling conflicts occur.
Enrollment will be limited to 25 students each semester. First Semester: Seniors have preference. Second Semester: Juniors have preference.
4104
Pre-Calculus 1 credit
Prerequisite: 3114
Algebra II and recommendation from current math teacher.
This course is designed as a fourth year
of math for college-bound students. It encompasses functional analysis, rational
exponents, logarithms, conics, vectors, series and sequences, matrices, probability,
combinatorics, and statistics. Special emphasis will be placed on trigonometric
identities and graphing trigonometric functions. This course is intended to
strengthen a students mathematical foundation to prepare for success
in college algebra or calculus.
4106
Honors
Pre-Calculus 1 credit
Prerequisite: 3116
Honors Algebra II and fulfillment of honors course criteria.
This
course is designed for students preparing for college calculus or for Advanced
Placement Calculus. Course content includes functional analysis, rational
exponents, logarithms, conics, vectors, series and sequences, matrices, probability,
circle, trigonometric applications and solutions to real-world problems, trigonometric
identities, and graphing trigonometric functions. There will be an introduction
to calculus with emphasis on limits. An emphasis will also be placed on integrating
algebra and geometry concepts and skills learned in prerequisite courses,
as well as solving problems that involve higher-order thinking skills. Students
are expected to provide detailed mathematical solutions to complex problems
and to justify their solutions in order to prepare for college calculus or
the Advanced Placement Calculus course.
4116
Honors
Calculus 1 credit
Prerequisite: 4104 Pre-Calculus or 4106 Honors Pre-Calculus and fulfillment of honors course criteria.
(An exception to these prerequisites may be made by the teacher and the chairperson
of the Mathematics Department.)
Honors
Calculus is designed to provide students with rigorous college-level mathematics
while in high school. Topics included are analysis of graphs, finding limits
of functions, asymptotic and unbounded behavior, continuity of functions,
the concepts of a derivative, using the first and second derivatives of functions
to solve problems, related rates, optimization, and implicit differentiation.
Integration of functions will also be introduced.
4118
Advanced
Placement Calculus 1 credit
Prerequisite: 4106 Honors Pre-Calculus, an AP Calculus application, and recommendation by the Honors
Pre-Calculus teacher.
This college-level course is designed to provide
students with foundations in differential and integral calculus. The content
includes analysis of graphs and functions, limits of functions, derivatives
and their applications, and integrals and their applications. Students are
required to take the College Board Advanced Placement Calculus Examination.
4122
Senior
Math (ESS-Grade 12) 1 credit
Prerequisite: 3114
Algebra II and approval of the ESS Director.
This course is offered to seniors in the ESS program who want to strengthen
their high school math background in preparation for core college mathematics
courses. Content encompasses a review of the topics learned in Algebra I,
Algebra II, and Geometry; and extends those topics to college-level problems.
Topics will include coordinate geometry, relations and functions, exponents
and logarithms, polynomial functions, right triangle trigonometry, statistics,
and probability.
4124
Advanced
Math 1 credit
Prerequisite:
3114 Algebra II and have not previously taken an Honors math course.
This course is offered to students who want to strengthen their high school
math background in preparation for core college mathematics courses. This
class will move at a slower pace than 4104 Pre-calculus. Content encompasses
a review of the topics learned in Algebra I, Algebra II, and Geometry, and
extends those topics to college-level problems. Topics will include coordinate
geometry, relations and functions, exponents and logarithms, polynomial functions,
right triangle trigonometry, statistics, and probability.
4138
Advanced Placement Statistics 1 credit
Prerequisite: 4104 Pre-calculus or 4106 Honors Pre-calculus and fulfillment
of the honors course criteria.
This college-level course is designed to provide the students with the major
concepts and tools for collecting, analyzing, and drawing conclusions from
data. An introductory course in statistics is required for most college majors;
this course is designed to fulfill that requirement. Engineering and Math
majors are usually required to take an upper-level calculus-based course in
statistics, for which the AP Statistics course is effective preparation. Students
are required to take the College Board Advanced Placement Statistics examination.