Mrs. Arnseson is prepares her classroom for the start of each school year by showcasing Mathematicians from around the world. Students will study these intellectuals all year long.

A MIRA is the commercial name given to a piece of colored transparent plastic used to reflect geometric objects. A Mira, unlike a mirror, allows the user to physically reach around the device to copy the image or to label points. 

A foundation course for math; topics include solving equations and inequalities, functions, exponents, polynomials, quadratics, and systems of equations. The theory and use of functions will be introduced. A correlation between arithmetic, and algebraic principles and the vocabulary of algebra is stressed.

Two and three-dimensional geometric figures are explored through the use of definitions, postulates, and theorems. Inductive and deductive reasoning are developed in the formulation of proofs and through group activities. Euclidean, coordinate, and spatial geometry is covered. Prerequisite: Algebra 1.

Students are introduced to the transcendental functions (exponential, trigonometric, and logarithmic). Matrices, algebraic fractions, functions, introduction to sequences, series and conic functions, and their graphs will complete the year. Prerequisite: Geometry

This course covers circular, algebraic, exponential, and logarithmic functions as well as trigonometry and its applications, analytic geometry, sequences, and series and vectors. Prerequisites: Algebra 2.

Calculus topics begin with study of limits. The derivative is introduced through the study of the tangent line problem and the limit definition of the derivative is developed. Students become proficient at both explicit and implicit derivatives of polynomial, rational, trigonometric, exponential, and logarithmic functions. Derivative applications are studied through motion, curve fitting, extrema, and related rates. The course continues with antidifferentiation and its applications. Prerequisite: Precalculus

Statistics is the science of collecting and analyzing data. This course covers descriptive statistics, axiomatic probability, probability distributions (including the normal binomial), inferential statistics (confidence intervals and hypothesis tests), and curve fitting. Prerequisite: Algebra 2.

AP Precalculus provides students with an understanding of the concepts of college algebra, trigonometry, and additional topics that prepare students for further college level mathematics courses. This course explores a variety of function types and their applications—polynomial, rational, exponential, logarithmic, trigonometric, polar, parametric, vector-valued, implicitly defined, and linear transformation functions using matrices. The mathematical practices of procedural and symbolic fluency, multiple representations, and communication and reasoning are developed. Students experience the concepts and skills related to each function type through the lenses of modeling and covariation and engage each function type through their graphical, numerical, analytical, and verbal representations. This course centers on functions modeling dynamic phenomena. This research-based exploration of functions is designed to better prepare students for college-level calculus and provide grounding for other mathematics and science courses. Students study a broad spectrum of function types that are foundational for careers in mathematics, physics, biology, health science, business, social science, and data science. AP Prerequisite: Algebra 2

AP Statistics is a class for any students who wants to learn how to make sense of the world around them through the use of authentic data. A standard approach to statistical analysis primarily for students of business and economics; elementary probability, sampling distributions, normal theory estimation and 28 hypothesis testing, regression and correlation, exploratory data analysis. Learning to do statistical analysis on a personal computer is an integral part of the course. This is a college level course and follows the standard syllabus prescribed by the College Board. Students will have the option to take the AP exam which will be administered in May. This course is also a dual-enrollment course with the UCONN. Prerequisite: Algebra 2.

The first semester emphasizes a thorough study of derivatives. Students become proficient in both explicit and implicit derivatives of polynomials, rational trigonometric, logarithmic and exponential functions. Derivative applications are studied through motion, curve fitting, extrema, and related rates. The second semester stresses the study of the integral. Applications are stressed through the investigation of volumes, length of curves, volumes of solids of revolution and surface area. This is a college level course and follows the standard syllabus prescribed by the College Board. Students will have the option to take the AP exam which will be administered in May. Prerequisite: Precalculus.

This covers all of the topics from Calculus AB as well as Taylor and Maclaurin series, advanced methods of integration, polar coordinates, and equations as well as parametric equations. This is a college level course and follows the standard syllabus prescribed by the College Board. Students will have the option to take the AP exam which will be administered in May. This course is also a dual-enrollment with UCONN. Prerequisite: Calculus AB or Calculus (H).