Ngilazi Academy

in-depth study of the language of Algebra. A substantial amount of time is spent on skills and concepts to enable students to make the transition from arithmetic to Algebra. Application of these skills and concepts is also enforced. The graphing calculator, TI-84, will be introduced when graphing is studied. (Grade 9) (Course code A110). Algebra I – Honors
This course is a modern introduction to Algebra which leads to the understanding of the basic structure of Algebra through an informal and intuitive approach. Appropriate emphasis is placed on mastering more rigorous skills, concepts and mathematical content. Students are encouraged to develop thinking and problem solving skills throughout the course, and applications of these skills will be of primary importance. (Grade 9) (Course code A120)

Algebra I - High Honors
This accelerated course is a modern approach to algebra in which the concepts, principles and basic structure of algebra are explored. Emphasis will be placed on problem solving and real-life applications so that the students can be given a greater appreciation for the relevance of algebra in their lives and careers. Additional topics that will be covered beyond the scope of an Algebra I course include radical expressions, quadratics and an introduction to probability and statistics. (Grade 9) (Course code A130)

Geometry
A modern approach to the basic principles of Geometry aims to develop a knowledge of geometric elements and their relationships in order to help the student grow in mathematical awareness and conceptual understanding. This course will cover all the basic ideas and terms of traditional geometry. A non-rigorous approach to the deductive method of proof will be presented to promote logical reasoning skills. The key concepts of Algebra will be re-enforced throughout the year. TI-84 Graphing Calculator is required for the 3rd quarter. (Grade 9 or 10) (Course code G110)

Plane and Solid Geometry – Honors
A modern approach to the basic principles of geometry aims to develop a knowledge of geometric elements and their relationships in order to help the student grow in the use of the deductive method of proof. Formal proofs will be explored in detail throughout the entire course. A study of three-dimensional solids including their lateral areas, surface areas and volumes will be studied during the fourth quarter. (Grade 10,11 or 12) (Course G120)

Plane and Solid Geometry - High Honors
This course provides an in-depth study of geometry with heavy emphasis on deductive proofs from the outset. Allof the traditional topics of Euclidean geometry will be studied in detail as well as coordinate geometry and an introduction to right triangle trigonometry. A study of three-dimensional solids including their lateral areas, surface areas and volumes will be studied during the fourth quarter as well as an introduction to geometric probability. TI– 84 Graphing Calculator is required for the 3rd quarter. (Grade 8,9,10,11 or 12) (Course G132)

Algebra II
A modern integrated course in Algebra consists of a thorough review of Algebra I. A complete study of quadratic equations, factoring, completing the square, the quadratic formula, graphing, problem solving, solving systems of equations and inequalities and polynomial equations will be provided. Additional topics will include operations on rational expressions and radicals. TI–84 Graphing Calculator is required. (Grade 10 or 11) (Course # 3301)

Algebra II - Honors
An extended study of the topics introduced in Algebra I is made. The real number system with emphasis on linear functions and relations, systems of equations and inequalities, rational expressions, radicals and irrational numbers, complex numbers, polynomial functions, conic sections, and exponential and logarithmic functions are included in the course of the year. Students review and expand their knowledge of problem solving. (Grade 10 or 11) (Course # 3302)

Algebra II - High Honors
An extended study of the topics introduced in Algebra I is made. The real number system with emphasis on linear functions and relations, systems of equations and inequalities, rational expressions, radicals and irrational numbers, polynomial functions, conic sections, exponential and logarithmic functions, sequences and series, and probability. The course is fast-paced and emphasis will be placed on higher order thinking and problem solving. (Grade 10 or 11) (Course # 3303)

Precalculus
This course is a continuation of Algebra II. Topics will include a complete study of trigonometry, conic sections,exponential and logarithmic functions, probability, and sequences and series. (Grade 11 or 12) (Course # 3411)

Precalculus – Honors
This course is a preparation for Calculus. Topics will include a complete study of trigonometry, functions and their inverses, advanced graphing techniques, exponential and logarithmic functions, sequences and series, the binomial theorem and probability. Applications of these concepts will also be included. An introduction to limits and continuity may also be explored. (Grade 11 or 12) (Course # 3412)

Precalculus – High Honors
This rigorous course will provide the students with a strong background for Calculus (AB) or Calculus HH. Topics include trigonometry, advanced graphing, polynomial functions, logarithm and exponential functions, complex numbers in polar form, polar graphing, limits, and continuity will be studied in depth. An introduction to Differential Calculus will also be included. The course will also focus on the theoretical development of each of these topics, and emphasis will be placed on higher order thinking skills and challenging applications. Use of the graphing calculator will be essential to the course. (Grade 11 or 12) (Course # 3413)

Calculus
This course is open to Seniors who have successfully completed Precalculus. The course will include a study of limits, continuity, the basic rules of differentiation, as well as applications of differentiation to curve sketching and word problems involving related rates and optimization. The derivative of the exponential and logarithmic functions will also be studied. Techniques of integration will be introduced. Limits of trigonometric functions and differentiation and integration of trigonometric functions will not be studied in this course. (Grade 12) (Course # 3401)

Calculus – High Honors/Middle College Program
In this course, students will continue to study the concepts of limits and continuity. The basic concepts of the derivative with its applications to velocity, acceleration, curve sketching, related rates, and max-min problems will be studied in the first semester. The definite and indefinite integral will be introduced during second semester. Techniques of differentiation and integration of the trigonometric functions, the natural logarithmic function, the exponential function and the inverse trigonometric functions will be studied. Integration will be applied to finding area and volume. (Grade 12) (Course # 3403

Calculus (AB) - Advanced Placement
Students will continue to study limits and continuity begun in Precalculus. An introduction to the basic concepts of differential and integral calculus with applications to velocity, acceleration, curve sketching, related rates and max-min problems will be given. Techniques of differentiation and integration will be studied and applied to areas, radioactive decay, and volumes and surface areas of revolution. The theoretical development of each of these topics will be stressed. The course concludes with the Advanced Placement Examination in May. (Grade 12) (Course # 3404)

Additional Mathematics Courses
Probability and Statistics
This full-year mathematics course will cover basic concepts in statistics and probability. Emphasis will be placed on the collection, processing, analysis and interpretation of numerical data, as well as probability theory and combinatorics. This course will be highly beneficial not only to students planning to study mathematics and science but also to those who wish to pursue a career in the social sciences or business (for example Sociology, Psychology, Economics). TI-84 Graphing Calculator is required. (Grade 12) (Course # 3421)

Statistics - Advanced Placement
This course is open to juniors and seniors who have successfully completed Precalculus-Honors or Precalculus-High Honors or who are taking either of these courses simultaneously with AP Statistics. The focus of this course is on problem solving. The course will introduce students to the major concepts and tools for collecting, analyzing and drawing inferences from data. Students will concentrate on the following topics: exploring data, planning a study, anticipating patterns and statistical inferences. (Grade 11 or 12) (Course # 3424)


Introduction to Computer Science
Introduction to Computer Science is a full year course which handles fundamental ideas of Computer Science. Through lecture and projects, students will be given hands on experience with computer, programming and coding skills that gear towards the technology industry.