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MATHEMATICS
GEOMETRY
Students will examine the nature of God as they progress
in their understanding of mathematics. Students will understand
the absolute consistency of mathematical principles and know that
God was the inventor of that consistency. They will see God's nature
revealed in the order and precision they review foundational concepts
while being able to demonstrate geometric thinking and spatial reasoning.
The study of the basics of geometry through making and testing conjectures
regarding mathematical and real-world patterns will allow the students
to understand the absolute consistency of God as seen in the geometric
principles he created. Students will demonstrate an awareness of
the structure of a mathematical system, connecting definitions,
postulates, logical reasoning, and theorems while exploring attributes
of geometric figures. Students will make and verify conjectures
about angles, lines, polygons, circles, and three-dimensional figures
through coordinate and transformational approaches. Through the
knowledge of conditional statements and their converses, constructing
and justifying statements about geometric figures and their properties,
students will begin understanding the concepts of constructing geometrical
proofs. Students will be able to solve problems with the use of
formulas for the areas and volumes of polygons and circles while
applying them to real-world situations; in addition, they will develop
and improve their spatial visualization and reasoning skills with
three-dimensional figures. As they investigate properties of parallel
lines, students will write deductive arguments to justify their
conclusions and apply those properties to real situations. Students
will apply their knowledge of triangles to develop properties of
parallelograms, trapezoids, and kites as they continue developing
their mathematical reasoning abilities and their algebraic skills
by learning to write coordinate proofs. Right-triangle trigonometry
will be introduced in the area of sine and cosine ratios and vectors.
Finally, students will study circles from an algebraic point of
view by writing equations of circles in the coordinate plane.
ALGEBRA
II
Students will examine the nature of God as they progress
in their understanding of mathematics. Students will understand
the absolute consistency of mathematical principles and know that
God was the inventor of that consistency. Mathematical study will
result in a greater appreciation of God and His works in creation.
Students will extend their mathematical knowledge beyond Algebra
1 by continuing to develop an understanding and usage of advanced
algebraic concepts including functions, polynomials, rational expressions,
complex numbers, systems of equations and inequalities, and matrices.
Students will develop calculator skills.
PRE-CALCULUS
Students will examine the nature of God as they progress
in their understanding of mathematics. Students will understand
the absolute consistency of mathematical principles and know that
God was the inventor of that consistency. Mathematical study will
result in a greater appreciation of God and His works in creation.
Students who have successfully completed Geometry and Algebra 2
will develop skills in advanced algebra, analytic geometry, and
trigonometry. The students will focus on the mathematics concepts
that connect the thoughts of the mind with the realities of the
universe, experiencing the creative power and order of God.
CALCULUS
Students will examine the nature of God as they progress
in their understanding of mathematics. Students will understand
the absolute consistency of mathematical principles and know that
God was the inventor of that consistency. Mathematical study will
result in a greater appreciation of God and His works in creation.
The students will understand the basic ideas of both differential
and integral calculus and its importance and historical applications.
The students will recognize that God created our minds to be able
to see that the universe can be calculated by mental methods.
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