The Knox School Mathematics Department recognizes the need for a strong mathematics background in all students’ lives, and strives to provide a comprehensive foundation of knowledge. Every Knox student graduates with an understanding of the role that mathematics plays in his/her life, as well as the ability to use mathematics to solve everyday problems. Course offerings range from middle-school Math 6 through AP Calculus BC. Middle School students who qualify may enroll in beginning Upper School Mathematics courses.
(110) Algebra I (Accelerated 8 or 9)
Students in Algebra I are introduced to basic algebraic topics including real numbers, linear relations and functions, linear equations, linear inequalities, polynomials, and factoring. This is a manually-intensive course that does not require the use of a calculator, which allows students to fully understand mathematical concepts. Prerequisite: Pre-Algebra or similar course.
(114) Algebra II (10,11)
Students in Algebra II analyze and identify relationships among functions. They become proficient in solving and graphing quadratic functions and equations. Students also firm up their understanding of using absolute values, radicals, exponents, and logarithmic functions. Students become comfortable and proficient in solving trigonometric equations and in graphing their solutions. This course is cross-listed with Pre-Calculus. Prerequisite: Algebra I.
(112) Geometry (10, 11)
Geometry is a branch of mathematics that addresses questions of shape, size, relative position of figures, and the properties of space. During the first and second terms, spatial relationships are introduced and include an in-depth study of triangles and quadrilaterals. Students explore volume, surface area, and the ability to use logic and geometric reasoning to prove mathematical relationships during the third term. Prerequisite: Algebra I.
(139) Calculus (12)
Calculus is designed to prepare students for AP Calculus (AB or BC) and AP Statistics, and includes the study of a variety of functions and their graphs: linear functions, absolute value, square roots, quadratics, polynomials, rational expressions, and exponential, logarithmic, and trigonometric functions. It also includes analytical trigonometry, inverses, and sequences. Students will begin to learn the concepts of derivation and limits. This course is cross-listed with Algebra II. Prerequisites: Algebra II and/or Pre-Calculus.
(134) Statistics, AP Statistics (241)
Statistics develops appreciation for, and skill in, applying statistical techniques in the decision-making process. Topics include: Descriptive statistics, probability, inference, methods of data collection, organization of data, and graphical techniques for exhibiting data together with measures of central tendency and variation. Specific subjects include binomial and normal distributions, hypothesis testing, and confidence intervals. Students will use multiple representations to present data including written descriptions, statistics, formulas, and graphs. Estimating with confidence, testing a claim, comparing two population parameters, inferences for regression, and chi-square procedures are also included. Students will work on extensive and comprehensive word problems, including actual AP questions on a regular basis. Prerequisites: Pre-Calculus and Departmental approval.
(119) AP Calculus AB
AP Calculus AB is designed to prepare students for the Advanced Placement exam. Students learn functions, derivatives, integrals, limits and the ability to use this knowledge to solve geometric, numerical, algebraic, and verbal problems. Differential equations, exponential functions, application of the integral, and summations will also be introduced. Students will work on extensive and comprehensive word problems including AP questions on a regular basis. Prerequisites: Pre-Calculus and Departmental approval.
(130) AP Calculus BC
AP Calculus BC is designed to develop and expand students’ understanding of Calculus and provide experience with its methods and applications. Students review concepts presented in Calculus AB in greater detail and expand their study of Calculus to include concepts presented in the AP Calculus BC program and beyond. Students will learn how to apply Calculus using extensive and comprehensive word problems that will appear on the AP exam. Prerequisite: Successful completion of AP Calculus AB.
*AP courses are offered based on student interest, enrollment and instructor availability and are subject to change at the discretion of Administration.