Welcome to the Math Department of Brooks DeBartolo Collegiate High School. The Department seeks to provide varied instructional techniques to promote independent, self-directed learners within a cooperative environment. Through implementation of the Common Core State Standards, students are exposed to a wide range of learning experiences that require them to solve real-world problems through application of mathematical practices.  

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Integral to the BDCHS mathematics program is the goal for students to become expert problem solvers and analysts.  Rigorous college preparatory courses are the foundation, providing students the skills they need to succeed in the collegiate and corporate settings.

 

Core Courses and Descriptions
All students are strongly encouraged to take these core courses before exploring advanced topics.

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Algebra 1 Honors, Course #1200320 (1 credit)

This course is designed to provide a strong understanding of Algebraic Mathematics. The necessary skills that will be built upon are knowledge of variables, lines, operations, linear equations, functions, exponents, quadratic equations, polynomials, and general arithmetic. This course is viewed as the gateway into higher mathematics.

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Geometry Honors, Course #1206320 (1 credit)

This course is designed to provide a strong understanding of Geometric Mathematics. Skills addressed include knowledge of shapes, lines, angles, and arithmetic. Foundational skills from Algebra 1 will be applied and reviewed as necessary.  Students are also presented with a basic introduction to Trigonometry and the ways it can be used to study right triangles. The introduction to formal logic reinforces literacy skills through dissection of different forms of written statements, promoting problem-solving, and critical thinking skills.

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Algebra 2 Honors, Course #12003405 (1 credit)

This course presents an in-depth study of the topics of Algebra with an emphasis on theory, development of formulas, and real-world applications. Students continue their study of quadratics and polynomials while adding topics such as sequences, radicals, logarithmic and exponential functions.  Students learn new methods of problem-solving that serve as a preparatory course for the Scholastic Aptitude Test (SAT) as well as a bridge to Pre-Calculus and/or college preparatory mathematics.

 

Additional Course Offerings and Descriptions

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Advanced Placement Calculus AB, Course #1202310  (1 credit)

Building enduring mathematical understanding requires understanding the why and how of mathematics in addition to mastering the necessary procedures and skills. To foster this deeper level of learning, AP Calculus AB is designed to develop mathematical knowledge conceptually, guiding you to connect topics and representations throughout the course and to apply strategies and techniques to accurately solve diverse types of problems.  Visit https://apstudent.collegeboard.org/apcourse/ap-calculus-ab/course-details for more details.

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Advanced Placement Statistics, Course #1210320 (1 credit)

Develop analytical and critical thinking skills as you learn to describe data patterns and departures from patterns, plan and conduct studies, use probability and simulation to explore random phenomena, estimate population parameters, test hypotheses, and make statistical inferences.

Visit https://apstudent.collegeboard.org/apcourse/ap-statistics for more details.

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Financial Algebra, Course #1200387 (1 credit)
This course will give students the opportunity to apply mathematics found in financial topics such as personal investments, retirement planning, credit card interest, and savings.  In our consumer-based society, a mathematics course that addresses the results of financial decisions will result in more fiscally responsible citizens.  The course would be a bridge to upper-level mathematics such as Probability and Statistics or Precalculus.  Financial Algebra is designed for students who have completed the core courses of Algebra 1, Geometry, and Algebra 2.  The financial literacy focus of this course provides a real-life framework to apply upper-level mathematics concepts.

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Intensive Math, Course #1200400 (1 elective credit)

The content of this course is tailored to the individual skill needs of the students enrolled in the course.  The intent of this course is to support students in developing essential foundational skills in math concepts to assist them as they deepen their understanding and capacities to problem solve and reason.

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Math for College Readiness, Course #1200700 (1 credit)

This course is targeted for students who are not yet “college ready” in mathematics or simply need some additional instruction in content to prepare them for success in college level mathematics. This course incorporates topics such as expressions and equations, the number system, functions, algebra basics, the number system, as well as other foundational skills to prepare a student to successfully complete required assessments for graduation.  Participation in this course requires teacher recommendation.

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Pre-Calculus (Honors weight), Course #1202340 (1 credit)

This course prepares students for both high school Calculus and AP Calculus. It is designed to provide a strong understanding of higher level topics in order to prepare students for complex levels of mathematics. The curriculum includes solving, graphing, and modeling linear, exponential, logarithmic, quadratic, rational, radical, and polynomial functions. The course expands and reinforces Algebra 2 concepts while introducing trigonometry and other skills that will be used throughout calculus courses.

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Probability and Statistics with Applications Honors, Course #1210300 (1 credit)

Students learn counting methods, probability, descriptive statistics, graphs of data, the normal curve, statistical inference, and linear regression. Proficiency is measured through frequent online and offline assessments, as well as asynchronous discussions. Problem-solving activities provide an opportunity for students to demonstrate their skills in real-world situations.

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Liberal Arts Math, Course #1207300 (1 credit)

"Liberal Arts Mathematics is a course designed to strengthen mathematical skills from middle school and Algebra 1 while adding beginning statistical and geometry studies.   Topics shall include, but not be limited to, know equivalent forms of and perform operations on real numbers (including integer exponents, and radicals, percents, scientific notation, absolute value, rational and irrational numbers), compare and simplify real number expressions, identify and apply properties of real numbers, create and interpret a graph representing a real-world situation, describe the concept of a function, use function notation, solve linear and literal equations, solve and graph simple and compound inequalities, solve linear equations and inequalities in real-world situations, rewrite equations of a line into slope-intercept form and standard form, graph a line given any variation of information, determine the slope, x- and y- intercepts of a line given its graph, its equation or two points on the line, write an equation of a line given any variation of information, determine a line of best fit and recognize the slope as the rate of change, graph a system of linear equations, and the geometry of polygon, similarity and congruence.

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Calculus (Honors weight), Course #1202300 (1 credit)

A study of functions with applications, and an introduction to differential calculus. Topics include a review of algebra and functions, mathematical modeling with elementary functions, rates of change, inverse functions, logarithms and exponential functions, the derivative, differential equations, and Euler's method.  Pre-calculus topics are reviewed when they are needed in the development of calculus. Topics include graphical interpretations of the derivative, zeroes of functions, optimization, related rates, anti-differentiation, initial value problems, review of trigonometry, modeling with trigonometric functions, geometric sums and series, and the Fundamental Theorem of Calculus. Upon completion of this course a student will studied much of the material on the Fundamental Theorem of Calculus.

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