Northside's Math pathways are designed to prepare all students for success in their post-secondary courses and beyond. Attempting to advance through Northside's Math course sequence by taking classes outside of NCP is not recommended.
Students who plan to take courses outside of NCP in order to advance, MUST email their current math teacher, their counselor, Ms. Mulligan (Math Department Chair), Ms. O'Hare (School Programmer), and Ms. Fernandez (School Registrar) prior to starting the course (this can be one email with all recipients copied). Students who fail to do so will be placed in the next course based on their completion of courses taken at NCP.
Students who complete courses outside of NCP will not receive graduation credit for those courses, but may receive competency. Students hoping to be eligible for competency placement must share a transcript and any other pertinent information prior to August 1st, 2026 in order to confirm their placement into the next class. Due to programming constraints, placement after August 1st is not guaranteed.
Courses
(1.0 credit)
The first year Desmos Algebra 1 curriculum contains an introduction to problem solving and equation solving strategies, the use of variables, and the meaning and use of functions and graphs, as well as concepts from geometry, statistics, and probability. These mathematical ideas are set in varied contexts.
(1.0 credit; Prerequisite: Honors Algebra I)
Students work with powerful mathematical ideas, including the Pythagorean Theorem, trigonometry, the chi-squared statistic, and coordinate geometry. Problem contexts include the geometry of the honeycomb, maximizing area given a particular perimeter, the growth of a circular orchard, and statistical comparisons of populations.
(1.0 credit; Prerequisite: Honors Geometry)
Students extend their understanding of concepts studied in preceding years of the curriculum, while learning about and applying new topics such as derivatives, algebra of matrices, and circular functions. Population growth, decision-making on land use, and a Ferris wheel circus act provide some of the contexts for the mathematical concepts such as exponential functions, trigonometric functions, and binomial distribution.
(1.0 credit; Prerequisite: Honors Advanced Algebra with Trigonometry)
First semester requires students to use function analysis for polynomial and rational functions, as well as exponential and logarithmic functions. Second semester includes advanced study of trigonometric and polar functions and functions involving parameters, vectors, and matrices. This course follows the College Board’s Course Exam and Description.
(1.0 credit; Prerequisite: Honors Advanced Algebra with Trigonometry with a suggested letter grade of A or B or recommendation of Math Department.)
Students are introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, planning a study, anticipating patterns, and statistical inference. The course follows a syllabus defined by the College Board. All students are required to take the AP Exam at the end of the school year.
(1.0 credit; Prerequisite: AP PreCalculus with a suggested letter grade of A or B; OR Honors Advanced Algebra with Trigonometry with a suggested letter grade of A or B in Summer Honors Precalculus; or recommendation of Math Department)
The course includes such topics as limits, derivatives, and integration. Application of topics to problem situations is a core component of the course as is treatment of topics from multiple points of view: graphical, numerical, and analytical. Technology plays a key role in developing conceptual understanding throughout the course. The course follows a syllabus defined by the College Board.
(1.0 credit; Prerequisite: AP Precalculus with grade of A and recommendation of Math Department) All students who want to enroll in AP Calculus will be programmed for AP Calculus AB. There will be a separate application to enroll in AP Calculus BC.
The course covers the equivalent of two semesters of college calculus, with topics such as limits, derivatives, integration, parametric, polar, and vector functions. Application of topics to problem situations is a core component of the course as is treatment of topics from multiple points of view: graphical, numerical, and analytical. Applications of integrals and polynomial approximations and series will also be covered. Technology plays a key role in developing conceptual understanding throughout the course. The course follows a syllabus defined by the College Board.
(1.0 credit; Prerequisite: AP Calculus AB or BC and recommendation of Math Department)
The semester covering Linear Algebra examines matrix theory and linear algebra. Students explore how to use matrices to model and learn the theory behind solving systems of equations. As much as possible, emphasis will be given to topics that are helpful in other areas of mathematics, engineering, science, and social science. Topics covered include solving systems of equations, vector spaces, determinants, eigenvalues, and transformations.
The semester covering Differential Equations builds on the study of calculus by applying the ideas and techniques of calculus to our everyday lives. Focus is on formulating differential equations and interpreting their solutions. A major approach of this course is qualitative use of slope field, graphs, vector fields, and solution curves in the phase plane as tools to gain a better understanding of solutions. Computer- and web-based tools are used to investigate the behavior of solutions of differential equations. Numerical and qualitative investigations are used to understand the geometry and long-term behavior of solutions. Concepts such as first-order equations, systems of first-order equations, and nonlinear equations are investigated throughout the course.
OFFERED IN 2026-2027; WILL NOT BE OFFERED IN 2027-2028
(1.0 credit; Prerequisite: AP Calculus AB or BC and recommendation of Math Department)
This course continues the study of calculus by investigating the calculus of multivariate functions. This includes an introduction to functions of multiple variables using various coordinate systems and graphs in two, three and more dimensions. The calculus of these functions will be explored. Concepts such as derivatives, optimization, and integrals in the context of multivariable functions will be studied.
(1.0 credit; Prerequisite: Limited to Seniors.)
This course builds on some concepts and ideas students studied in our other math courses while adding in new concepts and exploring how they integrate into daily life. Topics may include probability, expected value, number systems, categorical data, financial literacy, ciphers and more. Students learn how to budget and become financially literate in today's world. In a culminating project, students build a brand and market a product. They learn about ciphers and cracking codes. This is a hands-on active course where students will be expected to collaborate, research, share ideas, create, problem solve and present their work.