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.
Algebra I introduces students 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; this allows students to fully understand mathematical concepts. Open to students who have successfully completed Pre-Algebra or a similar course.
Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. The first and second terms introduce spatial relationships and include an in-depth study of triangles and quadrilaterals. The third term introduces students to volume, surface area, and the ability to use logic and geometric reasoning to prove mathematical relationships. Open to students who have successfully completed Algebra I.
Algebra II students will analyze and identify relationships among functions. They will become proficient in solving and graphing quadratic functions and equations. The class will also cement understanding of using absolute values, radicals, exponents, and logarithmic functions. Students will become comfortable and proficient in solving trigonometric equations and in graphing their solutions. This course is cross-listed with Pre-Calculus. Open to students who have successfully completed Algebra I and Geometry.
Calculus prepares 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. This course is cross-listed with Algebra II. Students will begin to learn the concepts of derivation and limits. Open to students who have successfully completed Algebra II and/or Algebra I.
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. Open to students who have successfully completed Pre-Calculus and have received permission from the Chair of the Mathematics Department.
AP Calculus AB prepares students for the Advanced Placement exam. Calculus is designed to teach the students about 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. Open to students who have successfully completed Pre-Calculus and have received permission from the Chair of the Mathematics Department.
Honors Calculus II (AP Calculus BC) develops and expands students’ understanding of Calculus and provide experience with its methods and applications. Students in Honors Calculus II 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. Open to students who have successfully completed AP Calculus AB.