DEARBORN CENTER FOR MATH, SCIENCE & TECHNOLOGY

ACCELERATED PRE CALC (11th Grade)

This course is designed so that students will complete the Precalculus curriculum by the end of December so that students can begin Calculus (either by taking College Calculus 1 or Calculus Foundations) in January. This course covers limits, increasing and decreasing functions, rational functions, solving and graphing equations and inequalities, advanced trigonometry, parametric and polar equations, and vectors. Students will be assessed via tests, quizzes, and writing assignments. There is no final exam for this course due to its accelerated nature


ANATOMY AND PHYSIOLOGY (11th or 12th Grade)

Anatomy and Physiology is a laboratory-based course that investigates the structure and function of the human body. Topics covered will include the basic organization of the body and major body systems (integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, immune, respiratory, digestive, and reproductive). The impact of aging and diseases on body systems will also be studied. The full-year course culminates with the dissection of a fetal pig.


AP CALCULUS BC (11th or 12th Grade)

AP Calculus BC is primarily concerned with developing the student’s understanding of the concepts of calculus and providing experience with these methods and applications. The courses emphasize a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. Technology will be used regularly to reinforce the relationships among the multiple representations of functions, to confirm written work, to implement experimentation, and to assist in interpreting results. Through the use of unifying themes of derivatives, integrals, limits, approximation, and applications and modeling, the course becomes a cohesive whole rather than a collection of unrelated tops. More information about the course can be found at the following website: https://apstudent.collegeboard.org/apcourse/ap-calculus-bc


AP COMPUTER SCIENCE A (11th or 12th Grade)

AP Computer Science is an introductory course in computer science. . Because the development of computer programs to solve problems is a skill fundamental to the study of computer science, a large part of the course is built around the development of computer programs or parts of programs that correctly solve a given problem. The course also emphasizes the design issues that make programs understandable, adaptable, and when appropriate, reusable. At the same time, the development of useful computer programs and classes used as a context for introducing other important concepts in computer science, including the development and analysis of algorithms, the development and use of fundamental data structures, and the study of standard algorithms and typical applications. In addition, an understanding of the basic hardware and software components of computer systems and the responsible use of these systems are integral parts of the course. More information about the course can be found at the following website: https://apstudent.collegeboard.org/apcourse/ap-computer-science-a


AP COMPUTER SCIENCE PRINCIPLES (9th Grade)

AP Computer Science Principles offers a multidisciplinary approach to teaching the underlying principles of computation. The course will introduce students to the creative aspects of programming, abstractions, algorithms, large data sets, the Internet, cybersecurity concerns, and computing impacts. Students can earn college credit if they do well on their projects and the AP exam at the end of the course. More information can be found at https://apstudent.collegeboard.org/apcourse/ap-computer-science-principles.


AP ENVIRONMENTAL SCIENCE (11th or 12th Grade)

The AP Environmental Science course will provide students with the scientific principles, concepts, and methodologies required to understand the interrelationships of the natural world. It is a rigorous and highly interdisciplinary course that as it integrates the natural sciences, social sciences, and humanities to the study of environmental systems. The goal of this course is to identify and analyze environmental problems both natural and human-made, to evaluate the relative risks associated with these problems, and to examine alternative solutions for resolving or preventing them. The course will cover areas of environmental testing, sustainability, and resource management. Students will be expected to participate in group projects, case studies, lab work, and hands-on activities that relate to different aspects of environmental science. This rigorous Advanced Placement course will require a commitment of both time and interest. More information about the course can be found at the following website: https://apstudent.collegeboard.org/apcourse/ap-environmental-science


AP RESEARCH (11th or 12th Grade)

AP Research allows students to deeply explore an academic topic, problem, or issue of individual interest. Through this exploration, students design, plan and conduct a year-long research-based investigation to address a research question. In the AP Research course, students further their skills acquired in the AP Seminar course by understanding research methodology; employing ethical research practices; and accessing, analyzing, and synthesizing information as they address a research question. Students explore their skill development, document their processes, and curate the artifacts of the development of their scholarly work in a portfolio. The course culminates in an academic paper of 4000-5000 words (accompanied by a performance or exhibition of product where applicable) and a presentation with an oral defense.AP Research is the second of two courses in the AP Capstone™ program. AP Seminar is the first course. If a student earns scores of 3 or higher in AP Seminar and AP Research and on four additional AP Exams of their choosing, they will receive the AP Capstone Diploma™. This signifies outstanding academic achievement and attainment of college-level academic and research skills. Alternatively, if a student earns scores of 3 or higher in AP Seminar and AP Research only, they will receive the AP Seminar and Research Certificate™. More information about the course can be found at the following website: https://apstudent.collegeboard.org/apcourse/ap-research


AP SEMINAR (10th Grade)

AP Seminar is a foundational course where students investigate real-world topics of their choosing as well as learn to collect, analyze, and synthesize information from multiple sources. Students engage in conversations about complex academic and real-world issues from divergent perspectives. AP Seminar is the first of two courses in the AP Capstone™ program. AP Research is the second course. If a student earns scores of 3 or higher in AP Seminar and AP Research and on four additional AP Exams of their choosing, they will receive the AP Capstone Diploma™. This signifies outstanding academic achievement and attainment of college-level academic and research skills. Alternatively, if a student earns scores of 3 or higher in AP Seminar and AP Research only, they will receive the AP Seminar and Research Certificate™. More information about this course can be found at https://apstudent.collegeboard.org/apcourse/ap-seminar.


AP STATISTICS (11th or 12th Grade)

AP Statistics is a full year course that is designed to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad themes: Exploring Data (Describing patterns and departures from patterns), Sampling and Experimentation (Planning and conducting a study), Anticipating Patterns (Exploring random phenomena using probability and simulation), and Statistical Inference (Estimating population parameters and testing hypotheses). Students will be expected to use Graphing Calculators on a daily basis. Students who successfully complete the course and perform well on the AP exam may receive college credit, advanced placement or both for a one-semester introductory college statistics course. More information about the course can be found at the following website: https://apstudent.collegeboard.org/apcourse/ap-statistics


CALCULUS FOUNDATIONS (11th Grade)

Calculus Foundations is designed to introduce students to Calculus topics at a more conservative pace. Rather than taking the entire Calculus I course in a semester, we cover approximately the first half of Calculus I, making the transition to AP Calculus BC or Calculus I at the college much easier. Students will learn topics such as limits, derivatives, related rates, and antiderivatives


DISCRETE MATH (11th or 12th Grade)

The purpose of this course is to understand and use (abstract) discrete structures that are the backbone of computer science. In particular, this class is meant to introduce logic, proofs, sets, relations, functions, counting, and probability, with an emphasis on applications in computer science


EPIDEMIOLOGY & PUBLIC HEALTH (11th or 12th Grade)

The course mainly focuses on the basic principles and methods of epidemiology, with an emphasis on critical thinking, analytical skills, and application to clinical practice and research. Course Competencies: Evaluate the quality and comparability of data. Understand the major study designs for obtaining quantitative information relevant to population health research questions, including surveillance, observational, community-based and controlled trial research studies. Be able to select the most appropriate design for different hypotheses. Define exposure variables, outcome variables, extraneous variables and measures of their frequency. Understand and calculate commonly used health measures, such as relative risk, attributable risk, and odds ratio; select appropriate methods for estimating such measures. Define appropriate comparison groups for epidemiologic studies. Apply the concepts of confounding and bias to describe variables; describe appropriate methods for addressing each. Critique the study design and quantitative methods used in published literature and appropriately interpret the findings. Identify key sources of epidemiologic data. Describe a public health problem in terms of magnitude, person, time and place. Formulate and apply an epidemiologic methodology to identify a specific public health problem, develop a hypothesis, and design a study to investigate the issue.


FORENSIC SCIENCE (11th or 12th Grade)

Forensic Science is a one-semester integrated science course covering topics in Biology, Chemistry, and Physics. In this course, we will focus on forensic techniques used by scientists and law enforcement officials to observe, collect, and analyze data that may be used to solve a crime. Topics of study include fingerprints, DNA, blood, etc. Students will analyze a mock crime scene by gathering and collecting evidence in order to solve the crime. Additionally, students will learn what is and isn’t possible through critical analysis of forensic techniques utilized in current TV shows.


GENETICS (11th or 12th Grade)

This one-semester course will introduce students to the fundamental concepts of Genetics with emphasis on Human Heredity. Topics will include the history of genetics, genes and chromosomes, nucleic acids and proteins, approaches to the study of genetics, and the impact of genetics on society. Students will be introduced to basic lab techniques and learn about current issues in genetics.


HONORS BIOLOGY (10h Grade)

This full-year course covers ecology, biochemistry, cells, homeostasis, energy transformation, cell division, DNA replication & protein synthesis, genetics, and evolution & biodiversity. Students are expected to actively participate in many types of activities ranging from online webquests to hands-on labs. This is a fast-paced, in-depth course that will prepare students for AP Biology.


HONORS CHEMISTRY (9th Grade)

The Honors Chemistry course at DCMST exists to provide academically strong and motivated students with opportunities to enhance and enrich their education. The course challenges students to think and create at the highest levels of their abilities and encourages them to excel as they work to realize their potential. Higher standards are defined as an accelerated pace and greater depth. Students enrolled in the course are expected to develop refined and advanced critical thinking skills and apply those skills in examinations, presentations, labs and projects. Honors Chemistry at DCMST is a rigorous introductory level science course. Dues to the heavy math component in this course our students are expected to excel in algebra and mathematical problem solving. Topics include the metric system, matter, formulas, chemical equations (reactions) atomic structure, Stoichiometry, thermochemistry, gasses and their laws, solutions, bonding, acid base theory, pH, and organic Chemistry. We emphasize understanding and not memorizing material. This course is a college and an AP Chemistry prep course and its rigors will reflect a movement toward college level work. In addition a goal of this course is to help prepare students for the SAT chemistry subject exam.


HONORS INTEGRATED MATHEMATICS 2 (9th Grade)

In this class, students will cover a variety of math topics that span topics from Algebra II and Precalculus. Topics include: Domain & Range, Linear and Quadratic Functions, Systems of Equations, Sequences, Power & Exponential Functions, Composites, Matrices, Polynomials, Rational Functions, Series, Inverses, Logarithms, Trigonometry, and Family of Functions. In addition to quizzes and tests students will often be assessed via group labs and projects where they will be expected to use various technology including Google Drive and TI Nspire Graphing Calculators.


HONORS INTEGRATED MATHEMATICS 3 (10th Grade)

The content of this course integrates the topics of geometry, functions, statistics and trigonometry. The focus of Semester 1 is on geometry and introductory trigonometric concepts. The focus of semester 2 is on circular models, trigonometry, probability, and statistics. Students will apply these concepts to problem solve a variety of mathematical, scientific and technological situations. Technology will be emphasized throughout the course for work with graphing, analyzing data and simulating experiments. Rather than taking a final exam at the end of each semester, this class is broken up into trimesters. A final exam will be taken after each of the following topics are studied: Geometry, Trigonometry, and Probability/Statistics (this one will be a final project).


HONORS PHYSICS (11th Grade)

The principles of physics, including units on mechanics, sound, electricity, magnetism and modern physics. This course is designed to prepare students for the college-level physics which is required in engineering, pre-medicine, pre-dentistry, teaching, and computer science. Note that this course goes above and beyond the State of Michigan’s High School Content Expectations. Vectors and trigonometry are used as analytical tools. Numbers are expressed with significant figures. Scientific literacy and symbolic expression of concepts will be emphasized


INTRODUCTION TO MATH THINKING (11th or 12th Grade)

Introduction to Mathematical Thinking transforms mathematics into an engaging, relevant experience. Students are introduced to important and interesting ideas in mathematics that go beyond what is taught in a normal mathematics classroom while inspiring them to actively engage in mathematical thinking. Topics include topics such as counting infinite sets of numbers, cryptography, Geometrical correspondences, Non-Euclidean geometries, and Julia and Mandelbrot Sets.


STEM ELECTIVE OPTIONS FOR DCMST (11th or 12th Grade)

Students may substitute pre-approved Math, Science and Technology (STEM) courses including MBCC, Collegiate Academy, Dual Enrollment and home high school course offerings


TOPICS IN CHEMISTRY (11th or 12th Grade)

Topics in Chemistry is a one-semester, laboratory-based course in Advanced Chemistry topics including chemical reactions, polymers, and organic chemistry. Students will make a crystal heart for Valentine’s Day, learn the history of soap-making and make their own, and even make ice cream!