Mathematics

GEOMETRY AND HONORS GEOMETRY

Students will explore geometric situations and deepen their explanations of geometric relationships moving toward formal mathematical arguments. The courses guide students to experience mathematics as a coherent, useful, and logical subject that makes use of their ability to exercise problem-solving skills in authentic situations. The curriculum includes the topics of transformations, congruence, similarity, trigonometry, two- and three-dimensional figures, circles, and probability. 

ALGEBRA 1 AND HONORS ALGEBRA 1  

Algebra 1 is designed to give students the requisite skills for all future mathematics courses through real-world problem-solving. Students will explore writing, solving and graphing linear equations and inequalities, powers and exponents, quadratic equations, polynomials, factoring, probability, and statistics.

ALGEBRA 2 AND HONORS ALGEBRA 2  

Students will advance their knowledge of algebraic and statistical concepts by analyzing relationships of inverses and new function families: polynomial, rational, radical, exponential, logarithmic, and trigonometric. 

ALGEBRA 2 APPLICATIONS AND ANALYSIS  

Students will develop an understanding of Algebra 2 concepts through inquiry-based problem solving. The course emphasizes a multi-representational approach by exploring, analyzing, and applying mathematics in real-world situations.  Students will use tools and technology to study matrices, quadratic and polynomial functions, exponential and geometric functions, logarithmic and power functions, and rational and piecewise functions.  

QUANTITATIVE REASONING

Students develop quantitative literacy skills to draw conclusions that are relevant to their daily lives. Students interpret and draw inferences from mathematical models such as formulas, graphs, tables, and schematics. Emphasis is placed on problem-solving skills and developing the ability to communicate about mathematics in contextual situations. Students apply previously learned skills to solve non-routine and unfamiliar problems in the context of various disciplines, such as health, economics, politics, science, engineering, social science, and the arts. Students critique and evaluate quantitative arguments that utilize algebraic, statistical and quantitative information.  This course will support student preparations for success on placement assessments to enroll in credit bearing math courses at two and four year colleges.    

PRECALCULUS AND HONORS PRECALCULUS 

Precalculus provides the background for mathematical concepts, problems, issues, and techniques that appear in the study of calculus, including but not limited to: functions, trigonometry, polynomials, complex numbers, matrices, series and sequences, limits and continuity, and derivatives. Students will investigate theoretical, numerical, graphical, and spatial topics upon which to build their study of advanced mathematics.  

CALCULUS

This course is for students interested in engineering, physics, weather prediction, aircraft design, and other scientific careers that develop theories, solve practical problems, and predict natural phenomena. Topics include functions and graphs, tangent lines, derivatives, limits and continuity, applications of differentiation and integration. Calculus provides the answer to questions that cannot be solved by using, algebra, geometry, or trigonometry alone. 

HONORS MULTIVARIABLE CALCULUS dual enrollment option available on-site

5 Credits

Prerequisite: Advanced Placement Calculus BC or department supervisor consultation and recommendation

Multivariable calculus follows AP Calculus BC. Topics include vector valued functions, calculus of functions of several variables, double and triple integrals, line integrals, vector fields, Green’s theorem, Stokes’ theorem, and the divergence theorem. Additionally, applications of these tools will be explored. Other topics include an introduction to linear algebra and matrix methods.

STATISTICS

Statistics is the science of understanding data. If something can be measured, it can be analyzed with statistics. This course begins with an overview of statistical design, visual representations of data, and measures of central tendency. From there we explore how these elements can be applied to everyday real-life situations. We investigate how we can use probability to predict outcomes, such as the likelihood a medical test will produce a false positive. We explore how data comes together to form different distributions. We then use these distributions to test hypotheses, such as determining whether a new seed has a higher germination rate that its predecessor.

ADVANCED ALGEBRA AND TRIGONOMETRY

This course is designed for students to extend their understanding of algebra and introduce the study of trigonometry and basic statistics. A thorough understanding of functions and their graphs will be stressed. The course provides an alternative to Precalculus for those students who intend on going to college, but are not likely to need Calculus for their majors.

ADVANCED PLACEMENT CALCULUS AB

This college-level course on differential and integral calculus encompasses the study of elementary functions, limits, the derivative and its application, antiderivatives, integration, slope fields, and applications of the integral.

ADVANCED PLACEMENT CALCULUS BC

This is an intensive full-year course exploring the calculus of single variable functions. In addition to the topics covered in Calculus AB, the Calculus BC course includes additional advanced topics, such as infinite series, sequences, parametric equations, and vectors.

ADVANCED PLACEMENT COMPUTER SCIENCE A

This is an intensive full-year course that familiarizes students with programming concepts (using the Java programming language) comparable to an introductory course in computer science at the college level. Topics include Java fundamentals, arrays and matrices, selection and repetition, pointers and dynamic memory, strings and text, classes and objected-oriented programming, recursion, searching and sorting techniques, algorithmic analysis, and references and dynamic memory. 

ADVANCED PLACEMENT STATISTICS

This college-level course offers the study of major concepts and tools for collecting, analyzing, and drawing conclusions from data. The curriculum includes four broad conceptual themes: exploring data, sampling, and experimentation, anticipating patterns, and statistical inference.

HONORS CYBERSECURITY AND COMPUTER PROGRAMMING

Honors Cybersecurity and Computer Programming is an introductory computer science course.  Students will learn about careers in cybersecurity, cryptography, linux basics, computer forensics, steganography, networking and complete hands on labs that demonstrate various types of attacks including: web exploitation, SQL injection, Cross-Site Scripting and more.  Students will also write python programs which includes learning to use variables, user input, conditional and iterative statements, and functions.