Program of Studies Program of Studies 2018-19 | Page 33

Application of right triangle
trigonometry and the Pythagorean
Theorem will enable students to
calculate angles of descent for
aircraft or to determine the height
of a distant object.
Algebra II (1 credit)
Prerequisite: Geometry and either
Algebra with Discrete Mathematics
or Algebra I with an A average, or
placement by instructor
This course is a continuation of
the Algebra I and Algebra with
Discrete Mathematics sequence.
Students will delve into quadratic
functions and be able to extend
their geometry experience to
maximize area of geometric
figures. In this age of the greening
of America, businesses are using
such applications to minimize the
amount of plastic used in water
bottles. Algebra II will include a
study of the operations with real
numbers, linear equations and
inequality applications, graphs and
functions, polynomials, rational
expressions, irrational and complex
numbers, quadratic equations and
functions, systems of equations,
exponential and logarithmic
functions, and arithmetic and
geometric series.
require knowledge of elementary
algebra.
NOTE: This course is not a
substitute for Pre-Calculus.
Probability and Statistics
(0.5 credit)
Prerequisite: Algebra II and
Geometry
This course, an introduction
to the study of probability,
interpretation of data, and
fundamental statistical problem
solving, will encourage student
awareness of the importance of
mathematics in the modern world
by addressing questions like, “Why
is my automobile insurance so
expensive?” Students will explore
and analyze data by observing
patterns or the absence of
patterns, interpret information from
graphical and tabular displays,
apply appropriate statistical
models including measures of
centrality and spread to infer
information from data, and learn to
use technology in solving statistical
problems.
Trigonometry (0.5 credit)
Prerequisite: Algebra II and
Geometry The following course sequence
is designed to provide necessary
mathematical knowledge and
skills for students who, following
graduation from Thornton
Academy, plan to attend a four-year
college program and may major
in a math or science field, or who
may apply to a selective four-year
college regardless of major.
This semester course is designed
for the student who intends
to further his or her education
in a technical field. The six
trigonometric functions, which
are defined in terms of ratios,
are used routinely in calculations
made by surveyors, navigators,
machinists and carpenters.
Trigonometric functions also have
many application s in the physical
and life sciences. Triangle solution
problems, trigonometric identities,
and trigonometric equations This fast-paced course will provide
students with the skills necessary
for the successful transition into
Honors Geometry and Honors
Algebra 2 and the high order
mathematics courses that follow.
Students will gain a thorough and
extensive study of linear functions
and graphing on the xy-coordinate
system. Students will learn to
graph linear equations, calculate
and identify slope, solve and graph
inequalities, and work with systems
NOTE: This course does not meet
the prerequisite for Precalculus.
Honors Algebra I (1 credit)
www.thorntonacademy.org
of linear equations. Students will
use equations to model and solve
authentic problems, interpret
graphs, make predictions based
on data, and create graphs from a
table or list of values. The course
may also include the study of
quadratic functions.
Honors Geometry (1 credit)
Prerequisite: Honors Algebra 1
Students will develop spatial
concepts and insight into the
relationships between plane
figures such as points, lines,
polygons, and circles. Students
will apply algebraic principles,
including the use of coordinates,
to geometric problems and explore
the measurement of two and
three-dimensional figures. The
concept of proof is a focus of this
course, fostering an appreciation
of the power of logic as a tool for
understanding the world. Students
will be expected to utilize the
concepts of Honors Algebra I
throughout the Honors Geometry
course.
Honors Algebra II (1 credit)
Prerequisites: Honors Algebra I and
Honors Geometry, or placement by
instructor
This course will provide a challenge
for the serious and motivated
mathematics students by focusing
on the study of functions, including
linear, quadratic, polynomial and
rational functions. When studying
quadratic functions students will
calculate maximum income of a
business by locating the vertex
of a parabolic graph. Throughout
the year similar examples will
give students a more complete
understanding of how algebra is
applicable to other disciplines. A
complete unit on conic sections
including ellipses and hyperbolas
will be incorporated.
NOTE: Honors Geometry may be
taken concurrently by placement
only.
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