**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.

## IMPORTANT NOTES:

Students and parents should remember that the public Arizona universities require one year of math beyond Algebra II. Students who take Pre-Algebra in the ninth grade and who plan to go to a public university in Arizona must take math courses in summer school in order to complete Algebra I, Geometry, Algebra II, and Algebra III before graduating from NPA.

## 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.

# Math Courses

## MA 0930 Algebra I

This is a standard high school level algebra course that covers the following topics: operational symbols and their properties; integers and rational numbers and their properties; equation solving; inequalities and their solutions; factoring; linear equations and graphing; quadratic equations solving and graphing. Algebra I is the foundation for all higher-level math courses.

Prerequisite: MS students must have a B or better in Pre-Algebra. Transfer students must take a placement exam.

## MA 0950 Geometry

This course provides a general overview of geometric principles with a review of algebraic concepts and factoring. Topics for geometry include, but are not limited to constructions, transformations, triangle relationships, parallel line relationships, circle relationships, areas, and volumes.

Prerequisite: Algebra I with a C or better.

## MA 1050 Algebra II

This second course in algebra reviews and expands on the concepts introduced in Algebra I. New topics include polynomials, matrices, trigonometry, exponents, and logarithms. A graphing calculator is necessary: and it is recommended that TI-83 or TI-84 is recommended, as it is the calculator the instructor uses to explain the material. The same calculator is required for all subsequent math courses.

Prerequisite: Geometry with a C or better.

## MA 1060 Algebra III

This course is a further expansion of the topics from Algebra II (but not at the level of complexity covered in Pre-Calculus). Topics covered include functions, sequences, parametric equations, and trigonometric relationships. This course provides materials for students to learn to display, describe, transform, and interpret numerical information in the form of data, graphs, or equations.

Prerequisite: Algebra II with a C or better.

## MA 1070 Pre-Calculus

This course expands on many previously-learned algebra, geometry, and analysis topics, and introduces more abstract mathematical concepts such as limits. Topics covered include functions (polynomial, power, rational, exponential, logistic, logarithmic, trigonometric), analytic trigonometry, vectors, parametric and polar equations, matrices, analytic geometry, and an overview of discrete mathematics. This course prepares students to study all levels of calculus.

Prerequisite: Algebra II with a B or better.

## MA 1150 AP Statistics

This course prepares students for the Advanced Placement Statistics exam administered in May. The course provides an introduction to the basic ideas and methods of collecting, representing and analyzing data to report findings using elementary techniques from statistics and probability. Topics include frequency distributions; histograms and frequency polygons; measures of central tendency and variability; conditional probability; percentiles; Z-scores; normal and binomial distributions; confidence intervals; hypothesis testing; regression and correlation.

Prerequisite: Passing grade in Algebra II, III, or Pre-Calculus. AP Exam Fee: $94

## MA 1170 AP Calculus AB (Dual Enrollment Option equivalent to Math 220)

This course prepares students for the Advanced Placement Calculus AB exam administered in May. Topics include displacement; velocity and acceleration as derivatives; derivatives of trigonometric, exponential and logarithmic functions; implicit differentiation; finding critical points; anti-differentiation; Fundamental Theorem of Calculus; antiderivatives and slope fields; integrations by parts and by substitution; exponential growth and decay; areas in the plane; volumes; applications to science and statistics.

Prerequisite: Pre-Calculus with a B or better. AP Exam Fee: $94

## MA 1210 Statistics and Applied Mathematics

Students will use mathematics to model and analyze problems from the natural and social sciences. To perform effectively as professionals and citizens, students must become competent in quantitative data and in applying basic quantitative skills to the solution of real-life problems. This course will enhance the student’s ability to understand and apply the language of mathematics. Topics to be covered include descriptive statistics; inferential statistics; probability; linear, exponential or logistic growth and decay models; finance; discrete models in scheduling, and organization of ordering of tasks. Appropriate use of units and dimensions, estimates, mathematical notation, and available technology will be emphasized.

Prerequisite: Passing grade in Algebra II, III, or Pre-Calculus.

## MA 1250 AP Calculus BC

This course prepares students for the Advanced Placement Calculus BC exam administered in May. The course covers all of the same topics as AP Calculus AB, but at a more advanced level, and in addition, with the following additional topics: L’Hopital’s rule; Euler’s method; derivatives of parametric, polar, and vector functions; improper integrals; integration by parts; logistic differential equations; polynomial approximations; series of constants; Taylor and Maclaurin series.

Prerequisite: AP Calculus AB with a B or better.AP Exam Fee: $94