ADVANCED MATH (1
Credit)
Prerequisite:
Students should have obtained at least a “B” average in College
Preparatory courses through CP Algebra II.
Advanced math is
a pre-calculus course of study that includes topics from advanced
algebra, analytic trigonometry, sequences, series, functions and
limits, exponential and logarithmic functions, analytic geometry, and
introduction to calculus. It is intended for college bound students
who plan to major in mathematics, engineering, or science.
ADVANCED
PLACEMENT CALCULUS—AB (1 Credit)
Prerequisite:
Average achievement in Honors Advanced Math or Advanced Math
This full-year
course in single-variable calculus emphasizes techniques and
applications of the derivative, techniques and applications of the
definite integral, and the Fundamental Theorem of Calculus.
Algebraic, numerical, graphical, and verbal representations are also
emphasized. Since graphing calculators are used to confirm written
work as well as to assist with interpreting results, students are
expected to own one. Students who meet the required score on the AP
Calculus exam at the end of the course may earn college credit.
ALGEBRA I-A (1
Credit)
Grade 9
This course is
designed for students who need additional time and practice to master
mathematics concepts. The course will provide the opportunity to
build a solid foundation in the fundamentals of algebra. Students
will have abundant practice and many opportunities to apply concepts
in various situations. The content of this course includes the study
of variables, equations, inequalities, functions and slope. Students
will focus on studying linear equations and graphing functions.
ALGEBRA I-B (1
Credit)
Grade 11
Prerequisite:
Successful completion of Algebra 1-A and Geometry)
This course
offers students the second half of an Algebra I curriculum with some
additional concepts designed to meet the requirements for Maine’s
Learning Results in mathematics. Students will study systems of
linear equations and inequalities, properties and applications of
exponents, quadratic functions, polynomials, direct and inverse
variation, rational expressions, radical equations, and algebra of the
coordinate plane. Students will be engaged in a process of learning
that weaves the algebraic, numerical, and graphical representations of
functions.
ALGEBRA II (1
Credit)
Grades 11 & 12
Prerequisite:
Successful completion of Algebra I-A, Geometry, and Algebra 1-B or CP
Algebra I and CP Geometry.
Algebra II is
designed for juniors and seniors who plan to attend a technical
college or pursue a career in a vocational field. Topics of study
will include, but are not limited to, systems of equations and
inequalities, quadratic functions, exponential functions, matrix
operations, basic trigonometry, and probability and statistics. A
strong emphasis will be placed on the application of these skills in a
variety of occupations.
CALCULUS WITH
ANALYTIC GEOMETRY (1 Credit)
Prerequisite:
Intended for students who have completed Advanced Math.
This course
builds on the analysis of elementary functions (linear, quadratic, and
general polynomial), their graphs, and their applications. This is
done using differential and integral calculus, natural logarithms, and
exponential functions.
CP ALGEBRA I (1
Credit)
Prerequisite:
Average or above grades in previous mathematics courses.
This is a first
course in algebra emphasizing the various structural properties of the
real number system and their applications. A thorough study is made
of the number line, positive and negative numbers, open sentences with
one and two variables, graphs of polynomial relationships and
inequalities, methods of solving various types of mathematical
equations, and solutions of related verbal problems.
CP ALGEBRA II (1
Credit)
Prerequisite:
Successful completion of CP Algebra I and *CP Geometry with average or
above average achievement
CP Algebra II is
a second course in algebra which concentrates on more advanced topics
for college bound students. The course builds on the content of CP
Algebra I to include topics from Analytic Geometry, the solution of
quadratic equations, irrational and fractional equations, the study of
logarithms, basic trigonometry, techniques of graphing relationships,
and polynomial functions. Emphasis is placed on a rational approach
to problem-solving.
*The CP Geometry
prerequisite may be waived if the student wishes to take CP Geometry
and CP Algebra II simultaneously and has a strong recommendation from
his/her CP Algebra I teacher. “Doubling up” on math courses is
challenging and generally considered by highly motivated students
needing to complete Calculus during their senior year. Students are
strongly encouraged to discuss this option with their CP Algebra I
teacher and guidance counselor prior to registration.
CP GEOMETRY (1
Credit)
Prerequisite:
Successful completion of CP Algebra I with at least average or above
achievement.
CP Geometry is a
study of two and three-dimensional geometrical figures developed by
careful deductive methods. The course includes study of the concepts
of congruence of geometric figures, parallelism, similarity, polygons,
and area and volume relationships. Included will be the introduction
to the development of careful proofs, constructions, and
generalization.
FINITE
MATHEMATICS (1 Credit)
Prerequisite:
Successful completion of math through CP Algebra II.
This course is
designed for students who have successfully completed CP Algebra II
and plan to pursue college programs in the behavioral sciences such as
business management, psychology and sociology. It will include topics
from elementary logic, sets, techniques of counting, finite
probability theory, algebra of vectors and matrices, statistics and
topics from linear programming. Students may be enrolled in this
course and Advanced Math or Calculus at the same time.
GEOMETRY (1
Credit)
Grade 10
Prerequisite:
Successful completion of Algebra I-A.
With a focus on
applying geometric properties, this course exposes students to the key
concepts of geometry. Topics will include angle relationships,
parallelism, triangle relationships, triangle congruence, polygons,
similarity, area, surface area, volume, right triangle trigonometry,
and circle properties.
PEER MATHEMATICS
TUTOR (1 ELECTIVE CREDIT) Grades 11 & 12
Prerequisite:
A/B+ student with courses through CP or Honors Algebra II completed
and Mathematics Department approved. Students will be working
one–on-one in a tutoring capacity with various math students. Tutors
should be comfortable helping with Algebra I, Geometry, and Algebra II
topics. Tutors should also be willing to meet with department faculty
to discuss any problems or strategies to help students understand
mathematical concepts. Students will be required to document the time
spent with each tutoree.
SENIOR
MATHEMATICS (1 Credit)
Grade 12
Prerequisite:
Students must have completed Algebra II
or Algebra IB with permission.
This course is
designed for the vocational and/or career-oriented student who has
successfully completed Algebra II.
Students who have successfully completed Algebra IB may also take the
course with permission from the Math Department Chair.
Emphasis is placed on the use of technology in problem solving and is
an integral part of this course. There will be an integration of
previous algebra topics with statistics, data analysis, functions,
discrete mathematics, geometry, probability, and trigonometry.
Emphasis will be placed on the interpretation and analysis of the
problem, the process, and the result.
STATISTICS (1
CREDIT)
Grade 12
Prerequisite:
Students should have successfully completed courses at least through
Algebra II with an A or B average in Algebra II. Students will
examine the process of producing, organizing, and analyzing data and
drawing inferences from data. Student applications may include
determining consumer preference, economic patterns, quality of
research, and resource optimization and risk. A calculator is
required, and it must be able to complete two-variable statistical
functions. The TI-83 and TI-84 are the recommended calculators.
HONORS MATH
PROGRAM
Honors Math is a
four-year program designed to meet the needs of
mathematically-talented high school students, especially those who
aspire to careers in the fields of science, medicine, and
engineering. Criteria used to select students includes math
sub-scores from the MEA, class grades, and the recommendations of
teachers, with careful attention given to the degree of task
commitment and level of interest in math.
Once selected for
Honors Geometry in grade 9, students may progress through Honors
Algebra II, Honors Advanced Math, and AP Calculus. To remain in the
program, students are required to maintain a minimum average of 80%.
Although the students will be homogeneously grouped by ability,
allowances are made for those individuals who may require further
modifications in their instructional program.
The Honors Math
content is rigorous and emphasizes abstract reasoning and logical
process. The dominant focus of instruction is on problem solving as
opposed to drill and practice. A variety of instructional resources
will be used. Instruction will proceed at a faster pace, allowing for
exposure to more topics and to more diverse application of concepts.
HONORS ADVANCED
MATH (1 Credit)
Prerequisite:
Honors Algebra II
This is a
pre-calculus course of study that includes topics from advanced
algebra, analytic trigonometry, sequences, series, functions and
limits, exponential and logarithmic functions, analytic geometry, and
an introduction to calculus.
HONORS ALGEBRA II
(1 Credit)
Prerequisite:
Honors Geometry
Honors Algebra II
concentrates on more advanced topics. The course builds on the
content of Honors Algebra I and Honors Geometry: the solution of
quadratic quotients, irrational and fractional equations, the study of
logarithms, trigonometry, techniques of gaining relationships, and
polynomial functions. Emphasis is placed on a rational approach to
problem solving.
HONORS GEOMETRY
(1 Credit)
Prerequisite:
Successful completion of CP Algebra I and admission to Honors Math
Program.
This course is
a study of two and three-dimensional geometrical figures developed by
careful deductive methods. The course includes study of the concepts
of congruence of geometric figures, parallelism, similarity, polygons,
area, and volume relationships. Emphasis is placed on the development
of careful proofs, construction, and generalization
For
additional information on courses and graduation requirements,
please
refer to the PIHS Program of Studies
handbook.
