Mathematics
The Nolan Catholic mathematics department determines placement in mathematics
courses for newly admitted students. Departmental approval for enrollment
in selected courses is based upon established criteria. Three years of mathematics
“on site” during high school are required for a Nolan Catholic
High School diploma. Students are required to take mathematics courses consecutively
from lower to higher levels. Nolan strongly recommends that students take
a fourth year of mathematics in preparation for college. Technology is integrated
throughout the mathematics curriculum using Texas Instruments products (TI).
To acquaint students fully with current mathematics content and procedures,
all students must have access to a graphing calculator. We recommend a TI
83+ if purchasing a new calculator, otherwise TI 82 or TI 83 is permissible.
307 - Mathematics
7
This course is designed to help students expand and utilize basic mathematical
skills by applying practical problem-solving concepts to individual topics
of interest. Students are expected to organize information, apply previously
learned information to new situations, and make conjectures based on gathered
evidence.
Grade: 7 All Year Prerequisite: None
302 - Math 7A-Transitions
This accelerated course focuses on the development of higher level thinking
skills and intuitive reasoning. It is designed to equip the student with the
problem solving skills and conceptual algebraic background necessary for success
in algebra I, geometry, and algebra II courses.
Grade: 7 All Year
Prerequisite: 88 percentile or higher average in math and quantitative sections
of the admission test, demonstrate a mastery of math 7 concepts and Departmental
Approval
308 - Math 8-Transitions
This course focuses on the development of higher level thinking skills and
intuitive reasoning. It is designed to equip the student with the problem
solving skills and conceptual algebraic background necessary for success in
algebra I, geometry and algebra II courses.
Grade: 8 All Year
Prerequisite: Math 7
309 - Algebra
I-8A
This course approaches the study of algebra with imaginative applications
and clear problems derived from the real world. Technology is integrated throughout
this course to eliminate time-consuming calculations and to integrate graphing
and problem solving skills.
Grade: 8 All Year
Prerequisite: Math 7A-Transitions and
Departmental Approval
310 - Math 9-Transitions
This course focuses on the development of higher level thinking skills and
intuitive reasoning. It is designed to equip the student with the problem
solving skills and conceptual algebraic background necessary for success in
geometry and algebra courses. This course is an elective credit. Graduation
requirements in mathematics are algebra I, geometry, and algebra II.
Grade: 9 All Year
Prerequisite: 35-50%ile average in math Credit: 1
and quantitative sections of the admissions
test, and Departmental Approval
315 - Algebra
I
This course explores numbers, sets, and variables; basic properties of real
numbers; solving equations and inequalities; functions, relations and graphs;
systems of equations; polynomials and their factors; irrational numbers and
radical expressions; quadratic equations and functions. This course integrates
statistics and geometry with the algebra
of linear equations and inequalities, and includes probability concepts in
conjunction with algebraic fractions. The use of technology is integrated
throughout the course.
Grade: 9-10 All Year Credit 1
Prerequisite: 50-87 percentile average in math
and quantitative sections of the admissions
test and/or Departmental Approval
320 - Algebra
I Honors
This course approaches the study of algebra with imaginative applications
and clear problems derived from the real world. Technology is integrated throughout
this course to eliminate time-consuming calculations and to integrate graphing
and problem solving skills.
Grade: 9 All Year
Prerequisite: 88 percentile or higher Credit: 1
average in the math & quantitative sections
of admissions test and/or Departmental Approval
330 - Geometry
This course includes elements of geometry: angles; perpendicular lines; parallel
lines and planes; congruent triangles; similar polygons; right triangles;
circles; areas & volumes; constructions; coordinate geometry; transformations.
This course integrates synthetic, coordinate, and transformational approaches;
reinforces and
extends knowledge of algebra; and carefully develops an understanding of proof.
Real-world applications are provided throughout the course.
Grade: 9-11 All Year
Prerequisite: Algebra I Credit: 1
*9th grade students must have 75 percentile or
higher average in the math and quantitative sections of the admissions test,
demonstrate
mastery of algebra I on the Algebra I Mastery Test and or Departmental Approval
335 - Geometry
Honors
Honors geometry explores the same material as the geometry course, but in
greater detail and depth. This course is designed to challenge the superior
student. An investigative paper and project are required.
Grade: 9-11 All Year
Prerequisite: 93% each semester of Credit: 1
Algebra I or 85% in Algebra I Honors.
*9th grade students must have 88 percentile
or higher average in the math and quantitative
sections of the admissions test, demonstrate
mastery of Algebra I on the Algebra I Mastery Test and /or Departmental Approval
340 – Algebra
II
This course reviews the essentials of algebra I, then continues the following:
linear functions and relations; solving systems of linear equations or inequalities;
series and sequences; radicals and irrational numbers; functions; quadratic
relations and systems; exponents and logarithms. All concepts are examined
as tools for modeling real-world situations. This course applies geometrical
ideas learned in the previous years, including transformation and measurement
formulas. The use of technology is integrated throughout the course.
Grade: 10-12 All Year
Prerequisite: Algebra I and Geometry Credit: 1
345 - Algebra
II Honors
Algebra is presented as a study of special classes of functions. Relationships
between theory and real-world applications are thoroughly explored. Critical
thinking is developed by a strong emphasis on graphing and creative problem
solving. Topics include: functions and relations; linear functions; systems
of linear equations and inequalities; quadratic functions and complex numbers;
exponential and logarithmic functions; rational and irrational algebraic functions;
quadratic relations and systems; higher degree functions and complex numbers;
sequences and series; and probability, data analysis, and functions of a random
variable. Technology is integrated throughout this course.
Grade: 10-11 All Year
Prerequisite: 93% each semester of Credit: 1
Geometry or 85% in Geometry Honors
and Departmental Approval. Note: 9th graders
will be accepted into Algebra II H only with
Departmental Approval
350 - Intermediate
College Algebra
This course is equivalent to a non-credit, intermediate algebra course offered
by many colleges. It is designed to meet the needs of students who have completed
a high school algebra II course but are not yet prepared for pre-calculus.
It includes the study of relations and
functions, graphing, inequalities, factoring, polynomials, rational expressions
and quadratics, with an introduction to complex numbers, exponential and logarithmic
functions, and sequences and series. This course is not applicable toward
the graduation requirement in mathematics. It serves as an elective credit
only.
Grade: 11-12 All Year
Prerequisite: Geometry, Algebra II, Credit: 1
and Departmental Approval
360 - Pre-calculus
This course covers relations, functions and graphs; trigonometry; advanced
functions and graphing; discrete mathematics; and an introduction to calculus.
Technology and applications are integrated throughout this course.
Grade: 11-12 All Year
Prerequisite: Geometry, 77% in Alg.II Credit: 1
and Departmental Approval
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366 – Pre-calculus Honors
This course is designed to prepare students for calculus Advanced Placement.
Topics include: functions, trigonometric functions, polynomial functions,
inequalities and linear programming, exponential and logarithmic functions,
polar coordinates and complex numbers; conic sections, sequences and series,
limits, and an introduction to calculus.
Grade: 11-12 All Year
Prerequisite: Geometry, 93% in each Credit: 1
semester of Algebra II, 85% in Algebra II H
and Departmental Approval
368 – Calculus AB - Advanced Placement
This course includes the study of elementary functions with analytic geometry,
limits, derivatives, integrals, and the application of these topics as outlined
in the advanced placement calculus curriculum. The student is expected to
take the calculus AB advanced placement test. This course is designed to provide
the accelerated student the opportunity to earn college credit.
Grade: 12 All Year
Prerequisite: 85% in Precalculus Honors Credit: 1
and Departmental Approval
369 - Calculus
BC – Advanced Placement
This course includes the study of single-variable calculus that includes all
the topics of Calculus AB plus additional topics including parametric functions,
polar functions, vector functions, and sequences and series. The course is
equivalent to at least a year of calculus at most universities. The student
is expected to take the Calculus BC advanced placement exam.
Grade 12 All Year
Prerequisite: 85% in Pre-calculus Honors Credit: 1
and Departmental Approval
371 – Calculus
Honors
This course covers the fundamental concepts of calculus from a non-physics
perspective to prepare the student for calculus at the college level. This
course is for high school students who have completed four years of mathematics
and demonstrate mastery of algebra, geometry, and pre-calculus. Calculus,
though not as rigorous as AP calculus, will cover the same fundamental topics
of limits, differentiation, and integration, as well as applications of these
concepts.
Grade: 12 All Year
Prerequisite: 77% in Pre-calculus Credit: 1
373 – Probability
and Statistics
This course covers various counting procedures, the concepts and skills associated
with determining the probability of an event, different types of probability
distributions, and the use of inferential statistics to make decisions or
to determine validity. This course is designed for the student who has completed
Pre-calculus but does not intend to take Calculus.
Grade: 12 One Semester
Prerequisite: Algebra II Credit: ½
Algebra II Honors
