Sequence of Mathematics Courses

High School Graduation Requirements: 4 credits of math during Grades 9-12, including one course for which Algebra II is a prerequisite. Algebra I or Geometry may be included on high school transcripts, but students will still be required to earn four credits during high school.

Sequence of Mathematics Courses

The mathematics program at Northland Preparatory Academy (NPA) follows an orderly progression through a series of courses that each build upon all of the previous courses from the sequence. Incoming sixth graders are assessed and placed in either Math 6 or Pre-Algebra, depending on their math capabilities at that time. New students who enter NPA after sixth grade are assessed and placed at the appropriate level in the math course sequence. Students then progress through the sequence, as diagrammed below. After completing Algebra II, students are placed into either Algebra III or PreCalculus, depending on their math performance to that point.

Upper-Level Courses

While the diagram above illustrates many of the possible movements through the course sequence past Algebra II, it should be noted that the movements depicted are not exhaustive. There is the potential for some flexibility in moving between these courses, and each student’s progression is handled on an individual basis. Advanced Placement (AP) Calculus AB will continue to be a required prerequisite for AP Calculus BC. For AP Statistics, students have the potential to transition into this course from a number of different courses the previous year (Statistics and Applied Math is not a prerequisite for AP Statistics). More detailed descriptions of all mathematics courses follow.

Advancement in Math Courses at NPA

The nature of the study of mathematics is such that an appropriate level of mastery of each stage is necessary before a student can move on to the next course. Students must demonstrate this level of mastery on a consistent basis throughout each school year. All students in Math 6 will move to PreAlgebra the following year, and will be provided additional support when necessary. For the next four courses in the sequence, advancement standards vary somewhat by grade level. Because students who are at the youngest grade level for these courses (6th graders in Pre-Algebra, 7th graders in Algebra I, 8th graders in Geometry, 9th graders in Algebra II) are considered to be in an advanced course, the standards for advancement are higher for these students. These standards are outlined in the table below. To read the table, find the current math course and overall grade average for a given student (note: this grade average needs to be maintained for the entire school year for advancement consideration), then read the entry that applies to the grade level of that student. The bolded categories are described below. It should also be noted that these advancement procedures may be modified for those students with individualized educational plans (IEPs).

Next Course: The student will automatically be placed in the next course in the sequence.

Possibly Eligible: The student may or may not be placed in the next course in the sequence. The teachers in the math department will analyze such cases individually and make a decision about possible course changes based on all relevant factors (for example, in some cases, it is recommended that a student complete some sort of summer work in order to advance in the course sequence).

Same Course: TThe student will spend an additional school year at that same level in order to improve his or her level of mastery.

Advancement through the math course sequence beyond Algebra II is handled on a more individualized basis. However, the general procedure is that a student is required to have an ‘A’ average (90% or better) in Algebra II to be eligible for Pre-Calculus.

It is the position of the NPA math department that no student can ever fail any of these courses, but instead that different students simply take differing amounts of time to develop appropriate levels of mastery of mathematical content. The overall goal of this advancement procedure is to ensure that all students at NPA experience success and competence throughout their study of mathematics.