Mathematics
The Glenbrook North Mathematics Department has an extensive curriculum designed to meet individual student needs.
With over 20 unique course offerings, including 4 unique AP courses, curriculum and programming is designed to foster and promote inquiry, collaboration, and problem solving. In many cases, students can access AP coursework as early as Sophomore year, allowing students to dual-enroll in math courses of interest. Our course progression and sequencing is designed to allow for smooth transitions between courses, thus enabling students to work towards their goals as they progress through their 4-year sequence.
Staff
Courses
PRE-ALGEBRA 163 (MAI10300)
GRADE: 9 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Pre-Algebra 163 is a prerequisite for enrollment in Algebra. It is a bridge between the concrete ideas of arithmetic and geometric figures to the more abstract concepts of algebra and geometric reasoning. The course will reinforce basic computational skills with whole numbers and fractions. It will introduce algebra ideas of integers, variables, the simplification of algebraic expressions and the solution of linear equations. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: GBN department recommendation
ALGEBRA GTA 163 (MAA14300)
GRADE: 9,10,11 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Algebra GTA 163 is a college preparatory course that focuses on algebraic skills, concepts, and applications while strengthening arithmetic skills. This course is co-taught and the class meets every day. (90 minutes one day and 45 minutes the second day). Topics include operations with integers, simplifying expressions, factoring, absolute value, linear and quadratic functions, exponents, radicals, inequalities, systems of equations, and an introduction to statistics. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: GBN department recommendation
ALGEBRA G 163 (MAA15300)
GRADE: 9,10 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Algebra G 163 is a college preparatory course that focuses on algebraic skills, concepts, and applications while strengthening arithmetic skills to solve non-routine problems. Topics covered include operations with rational numbers, absolute value, simplifying expressions, solving equations and inequalities, graphing linear equations, systems of equations, exponents, polynomials, factoring, radical expressions, solving quadratic equations, and an introduction to statistics. This course is taught by a teacher from the GBN mathematics department with additional instructional support from an Instructional Assistant (teacher aide). A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: GBN department recommendation
ALGEBRA 163 (MAA16300)
GRADE: 9,10 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Algebra 163 is a college preparatory course that focuses on key algebraic concepts with an expectation of solving non-routine problems. Topics covered include operations with rational numbers, absolute value, simplifying expressions, solving equations and inequalities, graphing linear equations, systems of equations, exponents, polynomials, factoring, radical expressions, solving quadratic equations and applications of quadratics, and an introduction to statistics. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: GBN department recommendation
GEOMETRY GA 163 (MAG14300)
GRADE: 10,11 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Geometry GA 163 is a course that focuses on topics such as right triangles (including trigonometric ratios) and triangle relationships, quadrilaterals, segments and angles, parallel and perpendicular lines, congruence and similarity, surface area and volumes, transformations, constructions, equations of circles, and points of concurrency. This course is designed to develop critical thinking skills through informal arguments and formal proof. Geometric relationships and properties are presented through manipulative tools, interactive computer explorations, and geometric constructions. There is a continued emphasis on using Algebra skills throughout this course. A TI-Nspire graphing calculator is required for this course.
PREREQUISITES: Intensified Algebra GTA 163, Algebra GTA 163 or equivalent, and GBN department recommendation
GEOMETRY G 163 (MAG15300)
GRADE: 10,11 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Geometry G 163 is a course that focuses on topics such as parallel and perpendicular lines, right triangles and trigonometric ratios, quadrilaterals, properties and equations of circles, properties of volume and area, congruency and similarity, transformations, constructions, and points of concurrency. This course is designed to develop critical thinking skills through informal arguments and formal proof. Proof is covered through triangle congruence and similarity. Geometric relationships and properties are presented through manipulative tools, interactive computer explorations and geometric constructions. There is a continued emphasis on using Algebra skills throughout this course. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Algebra GTA 163, Algebra G 163 or equivalent, and GBN department recommendation
GEOMETRY 163 (MAG16300)
GRADE: 9,10 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Geometry 163 is a plane geometry course with applications in three dimensions. This course is designed to develop critical thinking through analytic reasoning and an understanding and appreciation of geometric relationships. The course focuses on topics such as parallel and perpendicular lines, congruence and similarity, right triangles and trigonometric ratios, properties, perimeter and area (of two-dimensional objects) as well as surface area and volume (of three-dimensional solids). An in-depth study of the properties of circles is also part of this course. Formal deductive proof and using inductive reasoning to make conjectures are emphasized. Students discover geometric relationships through manipulative tools and technology explorations. In every unit of study, the application of algebra skills is stressed. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Algebra 163 or equivalent, and GBN department recommendation
GEOMETRY 173 HONORS (MAG17300)
GRADE: 9,10 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Geometry 173 is a plane geometry course with applications in three dimensions. Topics include congruence, similarity, parallel lines and planes, perpendicular lines and planes, polygons, circles, area, volume, coordinate geometry, and advanced geometry concepts, constructions, and transformations. This course is designed to develop critical thinking through analytic reasoning and an understanding and appreciation of basic geometric relationships. Problem solving and sophisticated deductive reasoning are emphasized. Technology is used as a tool for inductive reasoning. Algebra is used as a transitional tool to relate geometric concepts with previously learned material. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Algebra 163 or equivalent, and GBN department recommendation
ALGEBRA 2 GA 263 (MAI06300)
Grade: 11,12 Length: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Algebra 2 GA 263 is an intermediate Algebra course which focuses on the topics of systems of equations and inequalities, linear and quadratic relations and function, exponential and logarithmic functions, complex numbers, probability and basic statistics, sequences and series, and applications of mathematics. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Geometry GA 163 or equivalent, and GBN department recommendation.
ALGEBRA 2 G 263 (MAI16300)
GRADE: 10, 11,12 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Algebra 2 G 263 is an intermediate algebra course which focuses on the topics of systems of equations and inequalities, polynomial arithmetic, complex numbers, linear and quadratic relationships and functions, exponential and logarithmic functions, sequences and series, probability counting theory and basic statistics, and applications of mathematics. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Geometry G 163 or equivalent, and GBN department recommendation
ALGEBRA 2 263 (MAI26300)
Grade: 9,10,11,12 Length: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Algebra 2 263 is an intermediate algebra course which focuses on the topics of sequences and series, transformations, in-depth work with functions (linear, quadratic, exponential, logarithmic, polynomial, and rational), complex numbers, probability and basic statistics. This course involves a strong component of critical thinking and problem solving using learned algebra skills. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Geometry 163 or equivalent and department recommendation
ALGEBRA 2 HONORS 273 w/Trigonometry (MAI27300)
GRADE: 9,10 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Algebra 2 Honors 273 is a course designed to develop critical thinking through analytic reasoning, problem solving and an understanding and appreciation of algebraic relationships. This course emphasizes learning the applications of Algebra 2 concepts through non-routine problems. National fluency is emphasized. Topics covered include inequalities, complex numbers, functions (linear, quadratic, exponential, logarithmic, polynomial and rational) and trigonometry. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Geometry 173 or Geometry 163 and GBN department recommendation. Freshmen enrolled in Geometry 163 that receive a recommendation for this course may take a placement test.
PRE-CALCULUS GA 163 (MAR06300)
GRADE: 12 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Pre-Calculus GA 163 is a continuation of concepts introduced in Algebra 2 GA. This course includes the study of matrices, probability, statistics, sequences and series, and functions and their graphs, right triangle trigonometry, the unit circle, and trigonometric functions including their applications and graphs. Topics are presented through manipulative tools, interactive computer explorations, and graphing calculator activities. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Algebra 2 263 GA and GBN department recommendation
PRE-CALCULUS G 163 (MAR16300)
GRADE: 12 LENGTH: 2 Sem. CREDIT: 1.00 GPA: All Subject & Academic
Pre-Calculus G 163 is a continuation of concepts introduced in Advanced Algebra G 263. Topics include theory of equations, conic sections, rational functions and their graphs, exponential functions and their graphs, and logarithmic functions and their graphs. Second semester is a study of trigonometry, the unit circle, and trigonometric functions including their applications and graphs. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Algebra 2 263 G and GBN department recommendation
PRE-CALCULUS 163 (MAR26300)
GRADE: 10,11,12 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Pre-Calculus 163 includes standard subject matter from college algebra, trigonometry, and analytic geometry. Students study trigonometric functions, identities and formulae, conic functions, vectors, parametrics, logarithms, rational functions, basic algebraic limits, and graphing techniques with analytic geometry. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Algebra 2 263 and GBN department recommendation
PRE-CALCULUS HONORS 173 (MAP17300)
GRADE: 10,11 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Pre-Calculus Honors 173 is designed to follow Advanced Algebra/Trigonometry 273 in order to complete topics in trigonometry, discrete mathematics, and analytic geometry. Students study polar coordinates, matrix arithmetic, analytic geometry with the conic sections and vector analysis, combinatorics, probability, mathematical induction, and sequences. A goal of this course is the continued development of a student’s ability to solve problems. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Algebra 2 273 Honors (which includes a semester-long study of Trigonometry) and GBN department recommendation
DISCRETE MATHEMATICS 163 (MAS16300)
GRADE: 12 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Discrete Mathematics is a full-year course designed for seniors that have completed pre-calculus. This course will cover such topics as graph theory, matrices, statistics, recursion, logic, voting methods, and combinatorics. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Pre-calculus 163 and GBN department recommendation
AP STATISTICS 183 (MCS18300)
GRADE: 10,11,12 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
This course will follow the Advanced Placement Statistics syllabus as recommended by the College Board. Major themes of study include exploratory data analysis, planning a study, probability and statistical inference. This course is the equivalent to one semester college-level course in introductory statistics. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: Algebra 263/273 and GBN department recommendation.
AP COMPUTER SCIENCE A 183 (MMP18300)
GRADE: 10,11,12 LENGTH: 2 Sem MATH CREDIT: 1.00 GPA: All Subject & Academic
The JAVA language allows the programmer to process data as well as perform mathematical calculations. In Advanced Placement Computer Science, data structures, programming algorithms, and structured programming are used. Students are expected to use analytical thinking in solving problems and use top-down design methods in developing programs. This course prepares the student for the Advanced Placement Computer Science exam. While it is helpful to have some prior programming experience, it is not a requirement for this class. AP Computer Science can be taken in conjunction with another math class.
PREREQUISITE: Completion of Algebra 2 263/273, and teacher/department recommendation.
AP COMPUTER SCIENCE PRINCIPLES 183 (MMP68300)
GRADE: 10,11, 12 Length: 2 Sem MATH CREDIT: 1.00 GPA: All Subject & Academic
AP Computer Science Principles introduces students to the foundational concepts of computer science and challenges them to explore how computing and technology can impact the world. Students will think creatively while using computer software and other technology to explore questions that interest them. Working individually and collaboratively to solve problems, students will further develop their communication and collaboration skills. With a unique focus on creative problem solving and real-world applications, AP Computer Science Principles prepares students for college and career.
PREREQUISITE: Algebra 1
ADVANCED DATA STRUCTURES AND ALGORITHMS (MMP28300)
GRADE: 11,12 LENGTH: 2 Sem each CREDIT: 1.00 Each GPA: All Subject & Academic
Advanced Data Structures and Algorithms is a year long course that continues and extends the work that was started in the prior year course, AP Computer Science A. ADSA focuses on fundamental algorithms and dynamic data structures, including linear lists, stacks, queues, trees, directed graphs, and other linked structures: arrays, strings, heaps, and hash tables. Topics include elementary methods of complexity analysis applied to algorithms that manipulate dynamic and static data structures, as well as algorithms focused on sorting and searching methods. Emphasis is placed on the appropriate choice and use of standard data structures. This course offers students a mixture of theoretical knowledge and practical experience. Alternative techniques for solving problems will be discussed and implemented. The study of data structures and algorithms is carried out within an object-oriented framework. When implementations are considered, the Java programming language is used.
PREREQUISITE: AP Computer Science A and GBN department recommendation
AP CALCULUS AB 183 (MCC28300)
GRADE: 11,12 LENGTH: 2 Sem each CREDIT: 1.00 Each GPA: All Subject & Academic
This course will follow the Advanced Placement Calculus AB curriculum as recommended by the College Board. This course emphasizes learning through the application of Calculus concepts to non-routine problems. This course is a culmination of the learning of Algebra, Geometry, Algebra 2, and PreCalculus. Students apply their previous knowledge and skills gained from these courses to more complex Calculus problems. This AP course enables students the potential of earning 1 semester of college Calculus credit. AP Calculus AB challenges students to problem solve, think critically, and justify their conclusions. Notational fluency is emphasized. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: PreCalculus 163/173 and GBN department recommendation.
AP CALCULUS BC 183 (MCC48300)
GRADE: 11,12 LENGTH: 2 Sem each CREDIT: 1.00 Each GPA: All Subject & Academic
Calculus BC will follow the Advanced Placement Calculus BC curriculum as recommended by the College Board. This course emphasizes learning through the application of Calculus concepts to non-routine problems. This course is a culmination of the learning of Algebra, Geometry, Algebra 2, and PreCalculus. Students apply their previous knowledge and skills gained from these courses to more complex Calculus problems. This AP course enables students the potential of earning 2 semesters of college Calculus credit. AP Calculus BC challenges students to problem solve, think critically, and justify their conclusions. Calculus BC meets daily. 90 minutes on one day and then meets for 45 minutes the next day. A student cannot take both Calculus AB and Calculus BC.
PREREQUISITE: PreCalculus 173
ADVANCED TOPICS IN MATHEMATICS 173 (MCT87300)
GRADE: 12 LENGTH: 2 Sem CREDIT: 1.00 GPA: All Subject & Academic
Advanced topics is designed for students that have completed BC Calculus. Multivariable calculus is the primary topic studied in this course. Additional topics in linear algebra or combinatorics are also studied. A TI-Nspire graphing calculator is required for this course.
PREREQUISITE: AP Calculus BC and GBN department recommendation
Course Progressions
Team
| Freshman | Sophomore | Junior | Senior |
|---|---|---|---|
| Algebra GTA 163 | Geometry GA 163 |
Algebra 2 GA 263 Elective Option: |
Pre-Calculus GA 163 Elective Option: |
Regular
| Freshman | Sophomore | Junior | Senior |
|---|---|---|---|
|
Algebra G 163 Algebra 163 |
Geometry G 163 Elective Option: |
Algebra 2 G 263 w/Dept Rec) OR Algebra 2 263 (w/Dept Rec) Elective Option: |
Pre-Calculus G 163 Elective Options: AP Computer Science Principals OR Pre-Calculus 163 AND/OR Elective Options: |
| Geometry 163 | Algebra 2 263 Elective Option: AP Computer Science Principles |
Pre-Calculus 163 Elective Options: |
AP Calculus AB 183 Elective Options: AP Statistics 183 AND/OR AP Computer Science A OR AP Computer Science Principles OR Advanced Data Structures (must have completed AP CSA) |
| Algebra 2 263 | Pre-Calculus 163 Elective Option: AP Computer Science A OR AP Statistics 183 OR AP Computer Science Principles |
AP Calculus AB 183 Elective Options: AP Statistics 183 AND/OR AP Computer Science A OR AP Computer Science Principles OR Advanced Data Structures (must have completed AP CSA) |
Elective Options: AP Statistics 183 OR AP Computer Science A OR AP Computer Science Principles OR Advanced Data Structures (must have completed AP CSA) |
Honors
| Freshman | Sophomore | Junior | Senior |
|---|---|---|---|
| Geometry 173 | Algebra 2 273 Elective Option: AP Computer Science Principles |
Pre-Calculus 173 Elective Options: |
AP Calculus AB 183 Elective Options: |
| Algebra 2 273 | Pre-Calculus 173 Elective Option: AP Statistics 183 OR AP Computer Science A OR AP Computer Science Principles |
AP Calculus AB 183 Elective Options: |
Advanced Topics 173 (must have completed BC Calculus) Elective Options: AP Statistics 183 or AP Computer Science A OR |
Student Support
Math Resource Center (MRC)
Hours of Operation: 7:15 a.m. - 3:45 p.m.
- The Math Resource Center’s purpose is to serve as a drop-in center to assist students with targeted questions/needs. The MRC is staffed by math teachers and math-certified Instructional Assistants and is open all blocks of the day including before/after school.
- No appointments are needed and all GBN students are encouraged to stop in for homework help, classwork review, and assistance with test taking strategies.
Math Peer Tutors
Hours of Operation: 7:15 a.m. - 3:45 p.m.
- GBN Math Peer Tutors is a peer-tutoring program which offers support in the Math Resource Center via scheduled 1:1 appointments between students and peer tutors. Peer tutors are vetted to be well-versed in the area of mathematics they are assigned to tutor in. When Peer Tutors are not actively scheduled with an appointment, they are available for walk-up questions in the Math Resource Center.
- Math Peer Tutors are exceptionally helpful for students who have been absent from class or who need to catch up on missed material for a variety of reasons.
Math Enrichment Center (MEC)
Hours of Operation: 7:15 a.m. - 3:45 p.m.
- The purpose of the MEC is to support students who are appropriately placed in their mathematics course at GBN but are struggling with either the course content or the prerequisite skills necessary to master that course content. Students referred to the MEC have previously sought extra help from either the Math Resource Center (MRC), GBN Math Peer Tutor Program, and/or their teacher.
- GBN students who are identified through screeners or who are referred by staff members for additional support, meet with MEC staff for individual or small group support. Each student works specifically on an individualized pathway with material necessary for their success in current and future math courses .