As in the often-quoted words of Galileo, “Mathematics is the language with
which God has written the universe,” the Math Department at Providence
Christian Academy is committed to developing in our students an appreciation
for the study and art of mathematics as a subject that is not just found in
human endeavors, but one which is also found in the rational order and harmony
of God’s creation. We want them to learn to think mathematically, to perform
mathematical operations accurately, to become mathematical problem solvers, to
be able to communicate and reason mathematically, and to enjoy learning the
concepts of mathematics.
Mathematics is vitally important to the high school student and their future
because it is the universal language that people use to analyze and explain
concepts in disciplines such as physics, chemistry, engineering, economics, and
computing. Because we believe that mathematics is not a “spectator sport” but a
discipline that must be practiced and used in order to be grasped, our
classrooms are filled with activity and opportunities for practice. Mathematics
can be used to model real-life patterns and phenomena, so students are given
opportunities through the use of the Internet, specific software packages,
handheld collection devices, and classroom experiments to collect and then to
analyze data. We believe in hard work and discipline because we desire to
graduate students who are prepared for the challenges of a four-year college.
Students are given work each day that allows them to practice and explore the
topics that have been presented and then are held responsible for completing
the work assigned. Mathematics instruction builds on a foundation and
connections from one year to the next, so each high school subject includes
practice and applications of the previous year’s material, as well as skills
that anticipate the concepts needed the next year.
We realize that not all students are gifted in mathematics, so we offer high
school level math courses from Algebra 1 to Calculus at different levels so
that every student can be successful and challenged. As teachers in the
mathematics department we realize that our responsibilities to our students
are not just to present the material within the class period, so we are
available for time outside of the classroom for help as well. We hope that by
providing a positive, non-threatening, God-centered learning environment, and
by building a rapport with each student through availability and being
approachable, and by teaching with passion and determination, along with
presenting information that touches many different learning styles, we can
promote student success and give them a solid base of skills to take with them
as they graduate.
This course includes the study of real numbers (equalities and inequalities),
polynomials and factoring, functions and coordinate geometry, radical and
rational expressions, quadratics, and basic trigonometry.
| Honors Algebra I 27.0610040 |
|
1 CRE |
This course will cover the same topics as Algebra I as well as in introduction
to basic Trigonometry, Probability, and Statistics. Coverage of the Algebra I
topics is more in-depth and includes numerous enrichment exercises. Student
application and teacher recommendation are required.
| Euclidean Geometry 27.06300 |
|
1 CRE |
This course is a survey of Euclidean Geometry. Topics included are deductive
and inductive reasoning, parallel and perpendicular lines, triangles,
quadrilaterals, polygons, circles, area, volume, coordinate geometry,
trigonometry, similarity, congruence, and constructions. Prerequisite: Algebra
I.
| Honors Euclidean Geometry 27.0630040 |
|
1 CRE |
This course includes a more in-depth study of the above topics and
transformations and loci. Teacher recommendation and application are required.
Prerequisite: Algebra I.
This course includes the study of linear relations and functions, systems of
equations, polynomials, rational expressions, radicals, quadratics (equations,
relations, functions), complex numbers, conics, exponential and logarithmic
functions, basic probability, and sequences and series. Prerequisite: Geometry.
| Honors Algebra II 27.0640040 |
|
1 CRE |
This course covers the same topics as Algebra II. However, coverage is more
in-depth and includes numerous enrichment exercises. Teacher recommendation and
application are required. Prerequisite: Geometry.
| Algebra III 27.06610 |
|
1 CRE |
This course is designed to extend and reinforce the content, concepts, and
skills presented in Algebra II. It also includes an introduction to statistics
and trigonometry. Teacher recommendation is required. Prerequisite: Algebra II.
| Advanced Algebra and Trigonometry 27.06500 |
|
1 CRE |
This college preparatory course reviews algebraic topics. It covers advanced
algebra, trigonometry, logarithms, and analytic geometry, with an independent
unit in introductory calculus. It includes an analysis of the properties,
graphs and real-life applications of algebraic and transcendental functions.
Prerequisite: Algebra II.
| Honors Advanced Algebra and Trigonometry 27.06501 |
|
1 CRE |
This course covers the same topics as Advanced Algebra and Trigonometry.
However, coverage is more in-depth and includes numerous enrichment exercises.
Teacher recommendation and application are required. Prerequisite: Algebra II.
This course covers both differentiation and integration with applications of
each. A student should have completed Physics 460 or be enrolled in Physics
460. Prerequisite: Advanced Algebra and Trigonometry.
| AP Calculus 27.07200 |
|
1 CRE |
This course is designed to prepare the student for the Advanced Placement
Examination. It covers both differentiation and integration with applications
of each. A student should have completed Physics 460 or be enrolled in Physics
460. Prerequisite: Honors Advanced Algebra and Trigonometry.