Memorial
High School Mathematics
Mathematics Department Graphing Calculator Policy
Students entering ninth grade who wish to bypass the
first year of Algebra must have a B (4.0) average or above in Algebra 1 to be
placed in Geometry –Level III.
Two Semesters, Grade 9
Prerequisites: Department Recommendation
Algebra 1 – Level I and
Math Lab is an Algebra 1 class that meets every day.
This class is designed for students who had difficulty passing
Pre-Algebra in 8th grade or passing ISTEP.
By meeting every day, course material can be presented in smaller
sections, and students will have time to practice concepts in the classroom with
the guidance of the teacher. This
class will cover all of the concepts included in Algebra 1 – Level II.
Supplementary material preparing students for the state required end of
the course exam will also be included. To
allow students to earn two credits per semester, this class is listed as two
classes – Algebra 1 and Math Lab, however, it will be taught as a single class
that meets every day. Each semester,
students will earn one mathematics credit for Algebra 1 and one general credit
for Math Lab.
Algebra
1- Level II & Math Lab
Two Semesters, Grade 9
Prerequisites: Department Recommendation
This class is designed for students who are not at
risk of failing Algebra 1, but need additional help to be successful.
Students who succeeded in math because of interventions provided by their
grade school are recommended for this course. Students will attend a regular
Algebra 1 – Level II class one day and Math lab the alternate day.
The Algebra 1 class will cover all the concepts listed in the Algebra 1
– Level II course description. In
Math Lab, a resource teacher will provide students assistance and additional
practice with concepts covered in Algebra 1.
Supplementary material preparing students for the state required end of
the course exam will also be included in the Math Lab.
Each semester, students will earn on mathematics credit for Algebra 1 and
one general credit for Math Lab.
Two Semesters, Grade 9
Prerequisites: Freshman Status
Algebra 1 – Level II begins with a quick review of
variables and expressions, properties, operations with real numbers, and solving
linear equations. The course then
develops concepts related to graphing functions and relations, analyzing linear
equations, solving linear inequalities, solving systems of equations and
inequalities, polynomials, factoring, quadratic and exponential functions,
radical expressions, and rational expressions and equations.
Applications of these topics and connections with other areas of
mathematics will be emphasized throughout the course.
Two Semesters, Grade 9
Prerequisites: Department Recommendation
This course covers all of the material included in
the Level II course, but at a faster pace and in more depth and will devote
additional time to applications, connections, and problem solving.
This course is designed for students with a strong mathematics
background, but who did not complete Algebra 1 in the eighth grade.
Placement in this course is based on a combination of the EXPLORE
placement exam results, academic records in grades six through eight, and eighth
grade teacher recommendation.
Geometry-
Level 1
Two Semesters, Grades 10-12
Prerequisites: Algebra 1- Level I or II
In Geometry – Level I students will be challenged
to learn, discover, and apply geometry and to make connections from concrete
examples to abstract concepts. Topics
included are reasoning, measurement, coordinate graphing, angles, parallels,
triangles and congruence, properties of triangles, triangles’ inequalities,
quadrilaterals, proportions and similarity, polygons and area, circles, surface
area of solids and volume, beginning trigonometry, circle relationships, formal
proof, and transformations. Students
will also review and use algebra concepts throughout the course. Note:
A grade of 3 or above in Algebra 1 is needed to take Algebra 2 following
Geometry.
Geometry-
Level II
Two Semesters, Grades 10-12
Prerequisites: Algebra 1- Level I with a 5 or 6; Algebra 1- Level II with a 3 or
above;
Algebra 1- Level III with a 2 or above
Geometry is based on principles of logical reasoning.
Students develop their deductive reasoning skills throughout the course
by providing informal justifications and informal arguments as well as by
writing formal two-column and paragraph proofs.
Topics included are properties of points, lines, planes, angles,
reasoning and proof, perpendicular and parallel lines, congruent triangles,
relationships in triangles, proportion and similarity, right triangles and
trigonometry, quadrilaterals, transformations, circles, areas of polygons and
circles, surface area of solids and volume.
Applications of these topics and their connections with other branches of
mathematics will also be explored.
Two Semesters, Grades 9-10
Prerequisites: Algebra 1- Level III with a 5 or 6; Algebra 1- Level II with a 6;
or Department Recommendation for incoming freshmen
This course covers all of the material found in Level
II, but at a faster pace and in more depth and will devote additional time to
applications, connections, and problem solving.
This course is designed for students with superior mathematical ability
who want the challenge of a more intense course.
Topics included are points, lines, planes, angles, reasoning and proof,
perpendicular and parallel lines, congruent triangles, relationships in
triangles, proportion and similarity, right triangles and trigonometry,
quadrilaterals, transformations, circles, areas of polygons and circles, surface
area of solids and volume. Applications
of these topics and their connections with other branches of mathematics will
also be explored.
Algebra
2- Level II
Two Semesters, Grades 11-12
Prerequisites: Geometry- Level I or II and a grade of 3 or above in Algebra 1
(any level)
Algebra 2 – Level II is a lower level second-year algebra course which includes nearly all the topics of Algebra 2 – Level III, but usually covers them in less depth. As students continue the study of algebra, they relate and apply algebraic concepts to other areas of mathematics through realistic and relevant applications. Topics of this course include solving equations and inequalities, linear relations and functions, systems of equations and inequalities, linear relations and inequalities, polynomial functions, conic sections, rational expressions and equations, exponential and logarithmic relations, sequences and series, and probability and statistics. A graphing calculator is required for this class. See Graphing Calculator Policy.
Algebra
2- Level III
Two Semesters, Grades 10-12
Prerequisites: Geometry- Level III or Geometry- Level II with a 3 or above
Math
4- Level II
Two Semesters, Grade 12
Prerequisites: Algebra 2- Level III with a 3 or 4; or Algebra 2- Level II with a
4, 5, or 6
Math 4 is a mathematics course which provides a
foundation of precalculus concepts, techniques, and applications to prepare
students for more advanced work. Topics
included in this course are linear relations and functions, systems of equations
and inequalities, the nature of graphs, polynomial and rational functions,
conics, logarithmic and exponential functions, trigonometric functions and their
graphs, and trigonometric identities and equations.
Students may earn college credit through Ivy Tech State College for this
course. A graphing calculator
is required for this class. See
Graphing Calculator Policy.
Trigonometry-
Level III
One Semester, Grades 11-12
Prerequisites: Algebra 2- Level III with a 4 or above; or Precalculus with a 3
or above
This course provides for the development of the
trigonometric relationships from an understanding of the circular functions and
their properties and graphs. Topics
included in this course are the unit circle, trigonometric functions, solving
triangles, trigonometric graphs, trigonometric identities and equations, polar
coordinates, and complex numbers. Students
are required to take both Precalculus and Trigonometry before enrolling in
calculus or introductory calculus. Precalculus
and trigonometry can be taken concurrently.
A graphing calculator is required for this class.
See Graphing Calculator Policy.
Precalculus-
Level III
Two Semesters, Grades 11-12
Prerequisites: Algebra 2- Level III with a 4 or above
Precalculus is an advanced fourth-year mathematics
course with emphasis on theory, method, and application.
This course combined with Trigonometry provides a solid foundation for a
first-year course in calculus. The
topics included are linear relations and functions, systems of equations and
inequalities, polynomial and rational functions, the nature of graphs,
polynomial and rational functions, vectors and parametric equations,
conics, exponential and logarithmic functions, sequences and series,
combinatorics and probability, and statistics and data analysis.
Students are required to take both Precalculus and Trigonometry before
enrolling in Calculus or Introductory Calculus.
Precalculus and Trigonometry can be taken concurrently.
Students may earn college credit through Ivy Tech State College for this
course. A graphing calculator
is required for this class. See
Graphing Calculator Policy.
Calculus-
Advanced Placement- Level IV
Two Semesters, Grade 12
Prerequisites: Precalculus and Trigonometry with a 4 or above
This is a college-level calculus course designed to
prepare students to pass the Advanced Placement exam for AB Calculus. Students
may also earn college credit through the University
of Evansville Bridge Program. Emphasis is placed on the
mathematical theory upon which the concepts of calculus are based.
Applications of these concepts will also be emphasized.
Topics will include rate of change, limits, derivatives, curve sketching,
related rates, extrema, indeterminant forms, antiderivatives, definite
integrals, approximation of definite integrals, areas, lengths of curves, volume
and surface area of solids, and methods of integration.
These topics will be applied to algebraic, trigonometric, inverse
trigonometric, exponential, and logarithmic functions.
Concepts will be presented analytically, numerically, graphically, and
verbally whenever these are appropriate.
A graphing calculator is required for this class.
See Graphing Calculator Policy.
Introductory
Calculus
One Semester, Grade 12
Prerequisites: Precalculus and Trigonometry with a 3 or above
Introductory
Calculus is a one-semester course designed to give students experience with
calculus without the rigors of a college-level calculus course.
The course emphasizes application of concepts and problem solving rather
than the mathematical theory of calculus. This
course provides students with an excellent head start into their college
calculus program. Topics include
functions, graphs, limits, derivatives, curve sketching, related rates, extrema,
antiderivatives, definite integrals, areas, exponential functions, the natural
logarithmic function, and, if time allows, techniques of integration.
A graphing calculator is required for this class.
See Graphing Calculator Policy.
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