# Mathematics

In all mathematics courses, MCI places a strong emphasis on problem solving, real-world applications and verbally communicating mathematical concepts. Students are active participants in their own learning while teachers assist them in making their own discoveries about mathematics. Algebra, geometry, statistics, probability and discrete math are integrated into all courses, connecting the traditional branches of mathematics to real world applications.

Placement in specific courses is dependent on teacher recommendation. MCI requires students to earn a minimum of four math credits by graduation.

The courses in the mathematics curriculum (with the exception of pre-algebra) are college preparatory in structure. MCI provides two sequences of study at this level. The more rigorous level is a fast-paced progression that takes a student from Algebra I through Pre-Calculus and Calculus. High school graduates who wish to pursue careers in math or science=related fields, like engineering, medicine, biology, chemistry, physics, advanced computer technology and more, should enroll in this sequence.

For other career choices, most universities and colleges require students to complete courses in algebra, geometry and advanced algebra. Students who wish to pursue careers in liberal arts, languages, journalism, history, education and art, find the general level sequence ("A" designation) provides a sufficient foundation in high school mathematics. The courses are full-year unless otherwise noted.

**Pre-Algebra** is designed for students who find the study of mathematics to be extremely challenging. Students enrolled in this classes have historically experienced difficulty in mastering the concepts that are the foundation of mathematics, such as the computation of fractions and decimals. Though often very competent in other disciplines, students for whom math presents a unique challenge find this course helpful. Integrated throughout the curriculum are the basic concepts of algebra, geometry, probability, statistics and discrete math. The course is paced according to the needs of each individual group of students. (1 credit – two periods)

**Algebra I College Prep** is a rigorous first-year study of algebra where students apply concepts of algebra, probability, statistics, discrete math and geometry to the solution of relevant problems. The primary emphasis is the development of algebraic skills. Algebra topics include operations with real numbers, powers and polynomials; linear equations and inequalities; and proportions and rational equations. Through the integration of topics in probability, including factorials and permutations, and concepts in geometry, including area, volume, perimeter and the Pythagorean Theorem, students recognize the connections among topics and branches of mathematics. Students use scientific and graphing calculators, employ various problem-solving strategies and acquire added skills in independent and cooperative learning. (1 credit, one period)

**Algebra IA **is a first-year study of algebra where students apply concepts of algebra, probability, statistics, discrete math and geometry to the solution of relevant problems. The primary emphasis is the development of algebraic skills. Algebra topics include operations with real numbers, powers and polynomials; linear equations and inequalities; and proportions and rational equations. Through the integration of topics in probability and concepts in geometry, including area, volume, and perimeter, students recognize the connections among topics and branches of mathematics. Students use scientific and graphing calculators, employ various problem-solving strategies and acquire added skill in independent and cooperative learning. Students will have instruction during two periods in order to master the algebra concepts. (1 credit, two periods)

**Geometry College Prep** explores geometric concepts and relationships using the tools of geometry: compass, straightedge, ruler and protractor. They will, through exploration and inductive reasoning, be able to write their own definitions from their observations. Through this approach, geometry students will acquire a strong background in the concepts of plane and solid geometry and a beginning knowledge of trigonometry. (1 credit) *Prerequisite: Algebra I*

**Geometry A** covers the same concepts described in Geometry (listed above). The pace is somewhat slower and some concepts may be approached less rigorously; however, all basic concepts are studied and applied in practical situations. (1 credit) *Prerequisite: Algebra I*

**Algebra II College Prep** identifies and graphs algebraic functions and uses them to solve real-life problems. In addition, students study matrices, systems of linear equations and inequalities, radicals, and powers. They use graphing calculators and choose appropriate methods for problem solving. Throughout their study of integrated mathematics, students continue to recognize the interconnectedness of all topics and branches of mathematics. (1 credit) *Prerequisites: Algebra I and Geometry*

**Algebra IIA **covers the same concepts described in the Algebra II (listed above). The pace will be somewhat slower and some concepts may be approached less rigorously. Since these students are unlikely to proceed to a statistics course, data analysis is emphasized during the last quarter. (1 credit) *Prerequisites: Algebra I and Geometry*

**Pre-Calculus College Prep** regularly employs a variety of problem-solving techniques and builds skills using the TI-83 graphing calculator. Students study advanced functions and graphing, discrete mathematics, statistics and trigonometry. (1 credit) *Prerequisite: Algebra II*

**Functions, Statistics, and Trigonometry (FST) College Prep** is designed for students who haven't made a final decision concerning a college major. For a student choosing engineering or another science-based career, Advanced Math is the best choice. For a student choosing a career in psychology, the social sciences or some of the many health care fields, Statistics is the best course. For the student who is uncertain in which direction to go, FST allows for a foundation which can be built on in post-secondary courses. All three areas of mathematics are studied but not to the degree offered in the above-mentioned courses. FST builds on concepts offered earlier in our curriculum and students acquire skills utilized in college math courses. (1 credit) *Prerequisites: Algebra II and Geometry*

**Algebra IIIA (Financial Algebra)** is designed for students whose career pathway does not require Calculus or Statistics. In this course, Algebra I, Algebra II, and Geometry topics are incorporated in an applications-based learning environment. By combining algebraic and graphical approaches with practical business and personal finance applications, students will be able to explore algebraic thinking patterns and functions in a financial context. (1 credit) *Prerequisites: Algebra IIA, teacher recommendation and limited to seniors*

**Calculus College Prep** draws upon a wide variety of acquired mathematical skills to study number theory, discrete mathematics and calculus, analyze functions, deal with rates and limits, and explore derivatives and integrals using technology as a tool for exploration. Students continue to improve their skills in communicating mathematically. (1 credit) *Prerequisite: Pre-Calculus*

**Statistics College Prep** uses a non-theoretical approach to the study of statistics in which concepts are explained intuitively and supported by examples. The applications are general in nature and include problems from agriculture, business, biology, economics, education, psychology, engineering, medicine, sociology, and computer science. This course is designed to create a framework in which students who find math challenging can gain a fundamental understanding of the importance of statistical analysis. At the same time, students who wish to pursue a math or science related career would acquire a strong foundation in statistics upon which they can build in advanced courses. (1 credit) *Prerequisite: Algebra II*

**Advanced Placement ^{©} (AP) Calculus AB** covers the same material as the traditional Calculus course, but with more emphasis on analysis, application and the relationship between all representations of functions. The course prepares students to take the College Board's Advanced Placement

^{©}Calculus AB exam in the spring. Taking the AP exam (and payment of a test fee by the student) is required for successful completion of the course. (1 credit)

*Prerequisite: Pre-Calculus and teacher recommendation.*

**Advanced Placement ^{© }Calculus BC** covers the equivalent of two semesters of college Calculus. Students expand on knowledge from Calculus AB to further explore limits, derivatives and integrals and apply their understanding to challenging new concepts such as sequences, series, parametric curves and polar curves. The course is designed to prepare students to take the College Board's Advanced Placement

^{©}Calculus BC exam in the spring. Taking the AP exam (and payment of the test fee by the student) is required for successful completion of the course. (1 credit)

*Prerequisite: AP Calculus AB or teacher recommendation*