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A JK THROUGH 12 INDEPENDENT SCHOOL IN CHARLOTTE, NC

1941

Mathematics

Our mathematics curriculum promotes the optimal mathematical development of each student. Through innovative, challenging, and differentiated instruction we seek to develop student’s problem-solving and critical thinking skills and foster an appreciation for the power and beauty of mathematics. Students are encouraged to question, think, reason, compute, and communicate mathematically to solve real-world problems with enthusiasm, confidence, and creativity.

Course Descriptions

Algebra I

Full year. Students use graphical, symbolic, tabular, and numerical representations as they solve problems involving unknown quantities. Linear equations and linear relationships are examined in great detail, and conceptual understanding is emphasized throughout the course. The graphing calculator is utilized and required. Students are introduced to quadratic equations, factoring, and irrational numbers.

Geometry  

Full year. Prerequisite:  Algebra I
In this course, students will study parallelism, congruence, similarity, polygons, circles, area, volume, and transformations. Particular emphasis is placed on inductive and deductive reasoning, logic, and proof. Students will use Geometer’s Sketchpad to explore relationships and formulate conjectures. Concepts of Algebra I are reinforced, including linear equations, graphing, and solving systems. Students are introduced to right triangle trigonometry and counting principles. Algebraic applications of geometry and problem solving are greatly emphasized.

Honors Geometry

Full year. Prerequisite: Algebra I and qualification
In this course, students will study all of the topics in Geometry but with more theory and in greater depth. A mastery of many algebraic skills will be necessary for students to succeed and meet the demands of this rigorous course. Particular emphasis is placed on inductive and deductive reasoning, logic, proof, and independent problem-solving. Students will use Geometer’s Sketchpad to explore relationships and formulate conjecture.

Algebra II

Full year. Prerequisite: Geometry 
Algebra II is an extension of Algebra I with new topics including transformations, higher-order polynomials, exponential, and logarithmic functions. Emphasis is placed on describing relations in multiple ways, developing problem-solving skills, and communicating understanding in verbal and written formats. Students investigate concepts and solve both with and without the use of the graphing calculator.   

Honors Algebra II

Full year. Prerequisite: Geometry or Honors Geometry and qualification 
Includes much of the same material as Algebra II plus a unit on trigonometry and rational functions, but with more theory and in greater depth. Significant emphasis is placed on communication (verbal, partner and written) as well as on applications and problem-solving.  

Honors Algebra II and Precalculus

Full year. Prerequisite: Honors Geometry, and recommendation of department
This course will cover the topics in Honors Algebra II and Honors Precalculus. The pace will be greater and independent thinking and reasoning will be emphasized throughout the course. Students will be expected to investigate concepts and apply their knowledge in a variety of ways. Technology will be used extensively, and students will be required to explore many ideas outside of class time.

Algebra III/Trigonometry

Full year. Prerequisite: Algebra II
This alternative to Pre-calculus is a comprehensive review and extension of Algebra II topics with a study of functions, their graphs and applications. Topics covered include matrices, trigonometry, conics, sequences and series, probability and statistics. Much of the course content is similar to that of Pre-calculus, but material is presented at a slower pace. Please note: students in Algebra III/Trigonometry are not eligible to qualify for AP Calculus.

Pre-Calculus 

Full year. Prerequisite: Algebra II
This course is a study of functions and graphs including trigonometry, higher order polynomials, exponents, logarithms, analytic geometry, sequences and series, and transformations, also including some principles of probability. Students continuously seek understanding by communicating through use of words, tables, graphs and Algebra. Please note: students who have completed Algebra III/Trigonometry are not eligible to enroll in Pre-calculus. Students should continue to Intro to Calculus & Statistics (below).

Honors Pre-Calculus 

Full year. Prerequisite: Algebra II or Honors Algebra II and qualification
This course provides an in-depth examination of polynomial, exponential, logarithmic, power, rational, and trigonometric functions (graphs, equations, and applications) in preparation for AP Calculus. Students communicate their understanding in verbal and written formats. In addition, students thoroughly explore sequences and series, probability, counting methods, and polar graphing, and begin the study of limits, derivatives, and continuity.

Intro to Calculus and Statistics

Full year. Prerequisite: Pre-calculus or Algebra III/Trigonometry
The first semester of this course is devoted to developing an understanding of elementary statistics – graphing and describing data, using data to draw conclusions, and gathering data through surveys and experiments.  Students also study normal distributions in depth, including standardizing normal variables and calculating probabilities.  In the second semester, students analyze selected topics from Differential Calculus, including limits, continuity, differentiability, and finding and applying derivatives.  The final portion of the course focuses on financial mathematics such as investments, exponential models of growth for compound interest, and Business Calculus.