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Mathematics
Three (3.0) credits of mathematics are required for graduation. Students prepared for the transition to college and career options should plan to complete a minimum of Algebra I, Geometry, Algebra 2, Statistics and one advanced math course throughout the high school program of studies. Completion of some of these courses may occur during the program of studies at the Middle School. Successful completion of these courses is an indicator that students have mastered problem solving skills necessary in all college programs of study and career fields. The math department believes that all students planning to pursue any postsecondary education should take math each year of high school, earning at least 4 math credits for the following reasons: 1. Post-secondary institutions often require students to take a math placement exam at the end of the student’s senior year and students do better on these exams if they have taken 4 years of high school math. 2. The ACT includes Algebra I, Geometry, Algebra 2, and Trigonometry topics. 3. Many college majors require a statistics course. 4. Admission officers are often looking for four years of mathematics, or at minimum that a student has completed Algebra 2. High School students may choose to take two math courses in one year.
Grade 8 Math Class Initial High School Math Course (1 Credit Required) Next Course in Sequence (1 Credit Required) Next Course in Sequence (1 Credit Required)
Pre-Algebra
Algebra Geometry or Honors Geometry Algebra II, Algebra II AB OR Honors Algebra II Then: Functions & Trigonometry Statistics Data Analysis Precalculus* Honors Precalculus* AP Statistics* AP AB Calculus* AP BC Calculus* ECCP Math *²
Algebra
Honors Geometry
Algebra II or Honors Algebra II
Advanced Studies in: Geometry¹ Functions & Trigonometry Statistics Data Analysis Precalculus* Honors Precalculus* AP Statistics* AP AB Calculus* AP BC Calculus* *Course has a recommended prerequisite in addition to Algebra II.
Class: Algebra I Course Number: 1803A & 1803B Credit: 1.0 Grade Level: 9-12 Recommended Prerequisite(s): None Weighted: No Algebra I is the foundation for mathematical reasoning. Strategies and skills learned in Algebra I are transferred to nearly every other content area and are used in everyday life. The course is designed to use inquiry based strategies to help build conceptual understanding, vocabulary, and to help students most effectively explain their reasoning. Key concepts include solving and graphing linear equations, functions with exponents, polynomial and quadratic functions, and statistics. Students will be asked to discover and apply formulas to solve for unknowns and develop problem solving ability. Class: Honors Algebra II Course Number: 1805A & 1805B Credit: 1.0 Grade Level: 9-12 Recommended Prerequisite(s): Geometry Honors or consent of instructor Weighted: No Honors Algebra II is a rigorous, fast-paced course that includes a more in-depth study of Algebra II, including the solutions of equations, inequalities, and systems. An emphasis is placed upon understanding relations and functions, including quadratic functions, polynomial functions, radical functions, exponential functions, logarithmic functions and rational functions. Also, inferential statistics are introduced. Class: Algebra II Course Number: 1804A & 1804B Credit: 1.0 Grade Level: 9-12 Recommended Prerequisite(s): Algebra I Weighted: No Algebra II is a continuation of Algebra I, including the solutions of equations, inequalities, and systems. An emphasis is placed upon understanding relations and functions, including quadratic functions, polynomial functions, radical functions, exponential functions, logarithmic functions and rational functions. Also, inferential statistics are introduced.
Class: AP AB Calculus Course Number: 1860A & 1860B Credit: 1.0 Grade Level: 10-12 Recommended Prerequisite(s): Precalculus, Honors Precalculus Weighted: Yes AP Calculus AB is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions. Technology will be used by students and teachers to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results. This course is equivalent to a one-semester college calculus course. Students will learn about limits, continuity, derivatives, and integrals. All students in this course are strongly encouraged to take the Advanced Placement exam in May. A TI-84 or TI-89 graphing calculator is required.
*AB Calculus students may earn 4 or 5 credits which may be counted towards majors requiring calculus.
Class: AP BC Calculus Course Number: 1861A & 1861B Credit: 1.0 Grade Level: 10-12 Recommended Prerequisite(s): Honors Precalculus or AP AB Calculus Weighted: Yes AP Calculus BC is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions. Technology will be used by students and teachers to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results. This course is equivalent to two semesters of a college Calculus course. Students will learn all the topics from the AB course, as well as techniques of integrations, Taylor Series, vectors, and polar and parametric functions. All students in this course are expected to take the Advanced Placement exam in May. A TI-89 or TI‘nspire ex CAS is required.
*BC Calculus students may earn 8 to 10 credits depending on the University, which may be counted towards majors requiring calculus.
Class: Data Analysis Course Number: 1815 Credit: 0.5 Grade Level: 10-12 Recommended Prerequisite(s): Statistics Weighted: No This class is designed to extend the topics that began in Statistics and give meaningful application to the mathematics learned in previous courses. Students will be asked to use a variety of analytical tools to make sense of data sets, perform hypothesis testing, and identify the relationships that exist between variables. Skills learned in this course are highly valued in mathematical, science, economic and business college and career fields. Class: Geometry Course Number: 1807A & 1807B Credit: 1.0 Grade Level: 9-12 Recommended Prerequisite(s): Algebra I or equivalent Weighted: No This course develops geometric concepts, including the study of formal proofs (including coordinate and indirect methods), the use of postulates and theorems as well as algebraic applications. Geometry development includes measurements, identification and application of polygons, circles and polyhedrons. Algebra is used extensively for areas, volumes, lengths, angle measures, and graphing. Class: Calculus III* (CAPP Course at BCHS & BEHS) Course Number: 1817A & 1817B Credit: 1.0 Grade Level: 11-12 Recommended Prerequisite(s): AP BC Calculus Weighted: No Calculus III is a study of calculus in multivariable. Topics covered in this course include vectors and the geometry of space, vector functions, partial derivatives, multiple integrals, and vector calculus. This course is the equivalent of a third-semester university Calculus course and may be taken for college credit through the UW-Oshkosh CAPP program. A TI-84 or TI-89 graphing calculator is required.
Class: Functions and Trigonometry Course Number: 1806 Credit: 0.5 Grade Level: 10-12 Recommended Prerequisite(s): Algebra II (if taken concurrently, must be taken second or fourth term) Weighted: No Functions and Trigonometry is designed for the student who wishes to expand the concepts in Algebra 2. The course integrates the ideas of functions and trigonometry. This course will build an understanding with real world problems and establish a firm foundation in future work in mathematics courses. A graphing calculator is required.
Class: Honors Geometry Course Number: 1808A & 1808B Credit: 1.0 Grade Level: 9-12 Recommended Prerequisite(s): Algebra I Weighted: No Honors Geometry is a rigorous and fast paced course that increases the depth of study related to concepts in Geometry. This course develops geometric concepts, including the study of formal proofs (including coordinate and indirect methods) and algebraic applications. Algebra is used extensively for areas, volumes, lengths, angle measures, and graphing.
Class: Precalculus Course Number: 1809A & 1809B Credit: 1.0 Grade Level: 10-12 Recommended Prerequisite(s): Honors Algebra II or Algebra II and Functions and Trigonometry. If Functions and Trigonometry is being taken concurrently with Precalculus, it must be taken first or third term. Weighted: No Precalculus is a rigorous course encompassing a wide variety of mathematical topics. The content includes mastery of algebraic manipulation of functions (linear, polynomial, rational, exponential, logarithmic, and trigonometric), advanced trigonometry, analytic geometry, logarithms, series and sequences. This course is designed to incorporate theory, process, and application using technology to illustrate concepts whenever appropriate. A graphing calculator is required. Class: Statistics Course Number: 1811 Credit: 0.5 Grade Level: 10-12 Recommended Prerequisite(s): Algebra I Weighted: No Statistics is a course designed to provide a student with an introduction to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The course is organized around the themes of one/two variable statistics, calculating probabilities, ways of ordering objects, normal and other probability distributions, and statistical inference. This course will build an understanding with real-world problems, and establish a firm foundation for future work in math and statistics courses. A graphing calculator with a statistics package is required. Class: Honors Precalculus Course Number: 1810A & 1810B Credit: 1.0 Grade Level: 10-12 Recommended Prerequisite(s): Algebra II Honors or Algebra II and Functions and Trigonometry Weighted: No Precalculus is a rigorous course encompassing a wide variety of mathematical topics. The content includes mastery of algebraic manipulation of functions (linear, polynomial, rational, exponential, logarithmic, and trigonometric), advanced trigonometry, analytic geometry, logarithms, series and sequences. This course also introduces Calculus outcomes that include limits, asymptotes, continuity and the concept of derivatives. This course is designed to incorporate theory, process, and application using technology to illustrate concepts whenever appropriate. A graphing calculator is required.
Class: AP Statistics Course Number: 1862A & 1862B Credit: 1.0 Grade Level: 10-12 Recommended Prerequisite(s): Honors Algebra II or Statistics and Functions and Trigonometry Weighted: Yes The purpose of Advanced Placement Statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad themes: Organizing Data, Producing Data, Probability, and Statistical Inference.
