# Mathematics

There is a created order to the universe. Understanding that order is not only key to understanding creation but also the Creator.

Collectively, our nation suffers from math anxiety. We compare our math performance to other countries and often do not like what we find. The key to a deep and useful understanding of mathematics is an expert, passionate and patient faculty capable of "demystifying" a subject that often seems outside our reach.

At Mt. Bethel Christian, you will find faculty who can meet a student where they are and move them farther than they thought possible.

## Freshman Year

**Geometry** – covers the four areas of points, lines, planes and angles, and multi dimensional shapes. Upon completion of this course, students are able to: complete geometrical proofs, analyze the relationships in triangles, transformations, surface areas, and parallel and perpendicular lines, and calculate the areas of polygons and circles.

**Algebra II **– emphasizes expressions and equations, linear functions and relations, polynomials and nonlinear functions, radical functions to rational equations, and data analysis. Students develop skills that enable them to engage in the language of mathematics. Such concepts include solving and analyzing linear equations and inequalities, and systems of each function. Students study polynomials, factoring and graphing quadratic equations and exponential functions. Students progress from square root functions, radical expressions and trigonometric ratios to operations with rational expressions and equations. The course concludes with an in depth study of statistics and probability.

## Sophomore Year

**Algebra II **– emphasizes expressions and equations, linear functions and relations, polynomials and nonlinear functions, radical functions to rational equations, and data analysis. Students develop skills that enable them to engage in the language of mathematics. Such concepts include solving and analyzing linear equations and inequalities, and systems of each function. Students study polynomials, factoring and graphing quadratic equations and exponential functions. Students progress from square root functions, radical expressions and trigonometric ratios to operations with rational expressions and equations. The course concludes with an in depth study of statistics and probability.

**Algebra II Honors **– Algebra II Honors enriches the same material as Algebra II by applying the concepts to problems that require higher order thinking skills. Algebra II Honors seeks to build a strong mathematical foundation for students who will take Precalculus and Calculus. The graphing calculator will be used extensively. Topics covered include equations, inequalities, systems of equations, relations and functions, polynomials, polynomial equations and functions, rational expressions and functions, irrational and complex numbers, quadratic equations and functions, analytical geometry, conic sections, rational exponents, exponential functions, logarithms, logarithmic functions, and matrices.

## Junior Year

**Precalculus** – The primary objectives of Precalculus are to help students understand the fundamental concepts of algebra, trigonometry, and analytic geometry; to foreshadow important ideas of calculus; and to show how algebra and trigonometry can be used to model real-life problems. Topics covered include trigonometry, vectors, exponential functions, logarithmic functions, arithmetic and geometric sequences, rational functions, continuity, difference quotient, and introductory limits.

**Calculus AB** – Calculus Honors develops methods for solving two large classes of problems: 1) finding the rate at which a variable quantity is changing (differential calculus) and 2) finding a function when its rate of change is given (integral calculus). The introductory topics of this course include limits and continuity of functions, derivatives of functions, the definite integral, and their real-world applications. Students find derivatives numerically, represent derivatives graphically, and interpret the meaning of a derivative in applications. Previously studied functions will be analyzed using calculus concepts. The relationship between the derivative and the definite integral is developed as well. Students will model real-world situations involving rates of change using difference or differential equations.

**AP Calculus AB** – Advanced Placement Calculus AB develops methods for solving two large classes of problems: 1) finding the rate at which a variable quantity is changing (differential calculus) and 2) finding a function when its rate of change is given (integral calculus). This includes problems regarding slopes of curves, area between curves, volumes of solids, optimization, motion and linearization. The goals of the course include the following: a) to understand and be able to apply calculus concepts; b) to make connections among previously learned topics and calculus concepts; c) to understand the relationship between analytical and graphical representations of problems; d) to be able to communicate ideas effectively, both in written and

verbal form; e) to become literate in mathematics by strengthening reading comprehension of mathematical text; and f) to strengthen algebraic skills through the use of calculus.

## Senior Year

**Probability and Statistics Honors **- Sports, medicine, science, education, and business fields all use probability and statistics in everyday work. This course is designed to give students an introduction and strong foundation for their work in these fields of study. The class is open to seniors who have completed precalculus. These ideas and concepts will be covered: descriptive and inferential statistics; types of data, data collection, and sampling techniques; frequency distributions, graphs, measures of central tendency, variation, and position; counting techniques; probability distributions; normal distribution; confidence intervals; correlation and regression.

**Calculus AB** – The introductory topics of this course include limits and continuity of functions, derivatives of functions, the definite integral, and their real-world applications. Students find derivatives numerically, represent derivatives graphically, and interpret the meaning of a derivative in applications. Previously studied functions will be analyzed using calculus concepts. The relationship between the derivative and the definite integral is developed as well. Students will model real-world situations involving rates of change using difference or differential equations.**AP Calculus AB** – This college level course includes problems regarding slopes of curves, area between curves, volumes of solids, optimization, motion and linearization. The goals of the course include the following: a) to understand and be able to apply calculus concepts; b) to make connections among previously learned topics and calculus concepts; c) to understand the relationship between analytical and graphical representations of problems; d) to be able to communicate ideas effectively, both in written and verbal form; e) to become literate in mathematics by strengthening reading comprehension of mathematical text; and f) to strengthen algebraic skills through the use of calculus.