Course Offerings in
  MATHEMATICS

Three of the credits required for graduation must be earned in mathematics.  Each student is expected to schedule a course appropriate to his/her level of achievement and vocational interests.  A student should select the course that is most appropriate to his/her current math skills. It is strongly recommended by the department that all students have their own calculator. Because of the personal and professional challenges that will face the UMHS graduates, the Mathematics Department encourages all students to keep mathematics in their high school program all four years.
Note: Any student scheduling math courses at the Algebra II level or higher must have their own graphing calculator (TI 83 or TI 84) Parents of students for whom this represents a true financial hardship should contact the building Principal.

Possible Four Year Mathematics Course Sequences

PROBLEM SOLVING II                                                                                             Credit: 1.0
The Problem Solving sequence emphasizes applications in real-world situations. Topics for this course include using formulas, using exponents and roots, solving equations, probability, statistics, and right triangle trigonometry.  Prerequisites:  Successful Completion of Problem Solving I.

INTEGRATED ALGEBRA                                                                                        Credit: 1.0
The design of this course is to introduce algebra and geometry topics and to develop an understanding of the fundamental concepts of algebra.   The course includes the language and symbolism of algebra, numbers and operations, probability and statistics, and measurement strands integrated throughout. Problem-solving strategies are ongoing throughout the course.  Prerequisite: Successful completion of Pre-Algebra

INTEGRATED ALGEBRA II                                                                                    Credit: 1.0
This course develops algebra and geometry topics. Numbers and operations, probability and statistics, and measurement strands are integrated throughout. It also introduces systems of equations, quadratics, radicals, and matrices. Problem solving strategies are ongoing throughout the course.  Prerequisite:  Successful completion of Integrated Algebra I or less than proficiency in Algebra I.

INTEGRATED GEOMETRY                                                                                     Credit: 1.0
This course reinforces algebra and geometry topics. Numbers and operations, probability and statistics, and measurement strands are integrated throughout. It develops an understanding of triangles, quadrilaterals, and other polygons. Conic sections are introduced. Problem-solving strategies are ongoing throughout the course.  Prerequisite:  Successful completion of Integrated Algebra II or less than proficiency in Algebra II or Geometry 

ALGEBRA I                                                                                                                  Credit: 1.0
The design of this course is to develop an understanding of the fundamental concepts of algebra and the ability to use the processes involved.  The course includes the language and symbolism of algebra, properties of the real number system, equations and inequalities, graphing, word problems, rational expressions, factoring and radical expressions. Prerequisites:  Earn a minimum grade of 80% in Pre-Algebra and score a minimum grade of 85% on the UMTSD Pre-Algebra Proficiency Exam or a minimum of 85% on the Pre-Algebra final exam or teacher recommendation.

ALGEBRA II (College Preparatory)                                                                         Credit: 1.0
Students in this course will develop a higher degree of skill and accuracy in algebraic techniques and their applica­tions. The course content includes the complex number system, conic sections, functions, and polynominals.
Prerequisite:  Earn a minimum grade of 80% in Algebra I; and earn either a minimum grade of 85% on the UMTSD Algebra I Proficiency Exam or a minimum of 85% on the Algebra I final exam or teacher recommendation.

ALGEBRA II (Honors)                                                                                                Credit: 1.0
The course includes an in-depth study of the real and complex number systems, a study of conic sections, functions, and polynominals.  Students will have the opportunity for enriched mathematical study as they learn Algebra II concepts in greater depth and at a faster pace.  Prerequisite: Earn a minimum grade of 90% in Algebra I; or earn a minimum grade of 80% in Geometry (H); and earn a minimum of 85% on the UMTSD Algebra I Proficiency Exam, or a minimum of 85% on the Algebra I Final Exam or teacher recommendation.

GEOMETRY (College Preparatory)                                                                         Credit: 1.0
This course provides an integrated study of plane and solid geometry.  Using an appropriate combination of problems and formal proofs, this course is designed to meet the needs of those students planning to enroll in Analysis and Trigonometry.
Prerequisite:  Earn a minimum grade of 80% in Algebra I; and earn either a minimum of 85% on the UMTSD Algebra I Proficiency Exam or a minimum of   85% on the Algebra I Final Exam or teacher recommendation. 

GEOMETRY (Honors)                                                                                                Credit: 1.0
The course includes a study of Euclidean plane and solid geometry with an emphasis on logical thinking and well-organized proofs. Students will be introduced to coordinate geometry.  Prerequisites:  Earn a minimum grade of 90% in Algebra I or Algebra II(CP) and earn a minimum grade of 80% in Algebra II(H) and score a minimum of 85% on the UMTSD Algebra I Proficiency Exam or a minimum of 85% on the Algebra I final exam or teacher recommendation.

ANALYSIS & TRIGONOMETRY (College Preparatory)                                    Credit: 1.0
The course includes the study of triangle trigonometry, trigonometry and its relation to unit circle, and trigonometric equation solving. In the Analysis section, students will study sequences and series, polynomial equations, and exponential and logarithmic functions.  Prerequisite:  Earn a 70% or higher in Geometry and Algebra II (CP) or teacher recommendation.

ANALYSIS & TRIGONOMETRY (Honors)                                                          Credit: 1.0
The course includes an intensive study of triangle trigonometry, trigonometry and its relation to unit circle, and trigonometric equation solving. In the Analysis section, students will study sequences and series, polynomial equations, and exponential and logarithmic functions. Students will also be introduced to limits and other Pre-Calculus topics.  Prerequisites:  Earn a minimum grade of 90% in Geometry and Alg II (CP) or earn a minimum average of 80% in Geometry and Alg II (H) or teacher recommendation.

PRE-CALCULUS  (College Preparatory)                                                           Credit: 1.0
This course includes the study of various topics including conic sections, polar coordinates, parametric equations, matrices, exponential growth and decay, binomial expansion, limits and an introduction to differentiation.  Prerequisites:  Successful Completion of Analysis/Trigonometry (CP) or teacher recommendation.

CALCULUS  (Honors)                                                                                                Credit: 1.0
This course involves the study of limits, differentiation and integration formulas with applications, and related topics. Students will work with functions represented graphically, numerically, analytically and verbally as they study derivitives and integrals.  Prerequisites:  Earn a minimum grade of 90% in Analysis and Trig (CP) or
earn a minimum average of 80% in Analysis and Trig (H)

AP CALCULUS AB                                                                                                     Credit: 1.0
This course is extremely rigorous and is meant to prepare students for the Advanced Placement Calculus AB test in a 27 week period. This course provides an intensive study of limits, continuity, derivatives and their application, methods of integration and their applications and related topics.  Students who take this course are encouraged to take the Advanced Placement Calculus Test. Prerequisite:  Earn a minimum grade of 90% in Analysis and Trigonometry (H); or earn a minimum grade of 95% in Analysis and Trigonometry (CP); or earn a minimum grade of 95% in Pre-Calculus or teacher recommendation.

MATHEMATICS  (LEARNING SUPPORT) 9,10,11,12                                       Credit: 1.0
This course parallels the material and content taught in the various mathematics courses including;  Problem Solving, Consumer Math, Pre-Algebra, Algebra I, and Geometry with an emphasis on developing basic math skills and their applications to real life situations, while also preparing students for post secondary education, yet meeting the individual needs of each student as described in his/her IEP.  Prerequisites:  IEP Recommendation

MATHEMATICS (EMOTIONAL SUPPORT) 9,10,11,12                                  Credit: 1.0
This course parallels the material and content taught in the various mathematics courses including;  Problem Solving, Consumer Math, Pre-Algebra, Algebra I, and Geometry with an emphasis on developing basic math skills and their applications to real life situations, while also preparing students for post secondary education, yet meeting the individual needs of each student as described in his/her IEP.  It will also provide a behavior management component to address the needs of each student as described in a current IEP.  Prerequisites:  IEP Recommendation

MATHEMATICS (FUNCTIONAL LEARNING SUPPORT) 9,10,11,12           Credit: 1.0
This course will teach and reinforce basic math skills, teach and review consumer mathematic concepts, and develop problem solving skills to be successful in employment upon graduation.  This course places an emphasis in developing math skills that will create citizens that are successful in completing daily real life activities that involve the use of math.  Prerequisites: As stipulated in the IEP

Mathematics Electives

In addition to the standard Mathematics course sequence in grades 9-11, students may choose additional or alternative courses from the following electives:

STATISTICS (College Preparatory)                                                                         Credit: 1.0
This course is a step by step approach to elementary statistics.  Designed for students who enjoy math but may not want to take Pre-Calculus or Calculus just yet.  Topics include: frequency distributions and graphs, probability, normal distribution, correlation and regression, sampling and simulation and hypothesis testing.  Prerequisites:  Successful completion of Algebra II (CP) or teacher recommendation.

ADVANCED PLACEMENT STATISTICS                                                            Credit: 1.0
The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes:  exploring data, sampling and experimentation, anticipating patterns and statistical inference.  This course will be very helpful for anyone enrolled in AP Psychology.  This course will help  prepare students to take the Advanced Placement Statistics test.  Prerequisites:  Earn a minimum grade of 90% in Analysis and Trigonometry (H) or earn a minimum grade of 95% in Analysis and Trigonometry (CP) or PreCalculus or teacher recommendation.

SAT PREPARATION LAB (MATH)                                                                      Credit: 0.25
This coure is recommended for students interested in improving their SAT scores and their test taking strategies.  Emphasis will be placed on the SAT I test. This course will include a review of Algebra I and Geometry concepts, problem solving, and test taking strategies.  Authentic SAT practice tests will be administered and utilized for instruction.  Preparation for the SAT Verbal portion is included in the curriculum for this course.
NOTE: This course alternates on an A/B schedule with the SAT Verbal  course for a total combined credit of .50).