Mathematics Department Home Page

**207 Algebraic Fundamentals**

Credit: 1

An introduction course in preparation for Algebra I. Outlines mastery of mathematical

concepts in preparation for the operations and equations of Algebra I. Also works with

the students to master formulations of word problems and translation of such materials

into mathematical formulas.

**213 Honors Algebra I**

Credit: 1 (weighted – Honors)

The students begin with a review of basic algebraic concepts of operations with

fractions, exponents, and simplification of algebra expressions. Students continue

through factoring, theory of line and slope, solution of quadratic equations by factoring,

formula and completing the square, simplifying radicals and graphing linear and

quadratic equations.

**215 Algebra I**

Credit: 1

Students study the Basic Algebraic concepts of set variables and properties,

progressing through operations with fractions, algebraic operations, exponents,

simplification of algebra expressions, including factoring, the theory of lines and slope,

solution of quadratic equations by formula and graphing linear equations.

**223 Honors Geometry**

Credit: 1 (weighted – Honors)

Prerequisite: Honors Algebra I (Algebra I with recommendation)

The student will learn the basic postulates of Euclidean Geometry using the 2 column

proof structure of logic involving angles, congruent and similar triangles, parallel lines,

circles and arcs and Pythagorean Theorem integrated with constructions. Formulas for

areas of all basic geometric plane figures will be learned and formulas for volumes of

prisms, pyramids, cylinders, cones and spheres will be explored. Trigonometric rations will be

used plus sine and cosine laws, to solve new right triangles.

**225 Geometry**

Credit: 1

Prerequisite: Algebra I & Algebra II

Students will explore the concepts of plane geometry integrated with space and

coordinate geometry linked with algebra. Angles, congruent and similar triangles,

parallel lines, circles, properties of quadrilaterals and Pythagorean Theorem will be

studied. Formulas for the areas of all basic plane figures will be used plus an

exploration of logic structures, constructions, probability and ratios and proportions will

be covered. An introduction to trig ratios will be used to solve all right triangles.

**225 Informal Geometry**

Credit: 1

Prerequisite: Algebra I & Algebra II

Students will explore the concepts of plane geometry integrated with space and coordinate geometry linked with algebra. Angles, congruent and similar triangles, parallel lines, circles, properties of quadrilaterals and Pythagorean Theorem will be studied. Formulas for the areas of all basic plane figures will be used plus an exploration of logic structures, constructions, probability and ratios and proportions will be covered.

**231 Honors Pre-Calculus**

Credit: 1 (weighted – Honors)

Prerequisites: Honors Algebra I & Honors Geometry (other students with recommendation)

The student begins with a review of Algebra I material, moving into graphing of rational functions, methods of substitution, determinants, analysis and solution of word problems, roots of polynomials and complex numbers, arithmetic and geometric progressions plus exponential and logarithmic

functions. Trigonometric function, solutions of right triangles, radian and degree angle

measure, double angle, half angle and addition formulas, law of sines and cosines plus

inverse trigonometric functions and solutions of trigonometric functions are also

covered.

**235 Algebra II**

Credit: 1

Prerequisites: Algebra I

The student will review Algebra I material, then explore graphing and solving of higher polynomials, rational functions, methods of substitutions, determinants, analysis and solution of word problems, finding roots of polynomials and using complex numbers. Also covered will be arithmetic and geometric progressions and probability, exponential and logarithmic functions and an introduction to

Trigonometry.

**241 AP Calculus AB**

Credit: 1 (weighted – AP)

Prerequisite: Honors Pre-Calculus

Students will study real numbers, limits, continuity, compute the derivatives of algebraic

functions, explore tangent and normal lines, extremes of functions, mean value

theorem, related rates, definite integrals, areas and volumes and arc length. Some

applications to physics and mechanics will occur. This course will prepare students for

the Advanced Placement exam in the spring.

**245 Trigonometry**

Credit: 0.5

Prerequisite: Algebra II & Geometry

In this course the student is presented with solid geometry, trigonometry and if possible an

introduction to calculus. The emphasis is on trigonometric functions, solution of right triangles,

radian and degree angular measure, law of sines and cosines, inverse trip functions and the

solution of trigonometric equations. Analytic geometry, limits, continuity, derivatives of

algebraic function and tangents and normal lines will be explored as time permits.

**246 Statistics & Probability**

Credit: 0.5

Prerequisite: Trigonometry

In this semester course, the topics of study include elementary probability theory, concepts of

descriptive statistics, discrete and continuous variables, an analysis of the standard normal distribution, probability distributions, hypothesis testing, and confidence intervals.

**239 Discrete Mathematics **

Credit: 1 (weighted – Honors)

Prerequisite: Honors Pre-Calculus or AP Calculus

An honors-level math course providing an intensive look at mathematics and logical structures as they apply to math, philosophy and computer science.