Mathematics
Mr. Dennis Caceres
Department Chair of Mathematics
DCaceres@nullnps.k12.nj.us
At Technology High School, the Department of Mathematics focuses on preparing students for college and career readiness. We strive to address the needs of all our students to help them achieve acceptance into a college/university or pursue a career-ready path upon graduating from Technology High School.
We offer a range of courses, from Algebra I to AP Calculus. These courses include but are not limited to Algebra I, Geometry, Algebra II, Pre-Calculus, Calculus, and AP Calculus. Our department utilizes Pearson enVision for our Mathematics curriculum and incorporates technology into our classrooms.
Algebra 1
Algebra I is the introductory course in college-prep mathematics at the high school level. The course is designed to build a foundation in basic algebraic operations, functions, and properties. Emphasis is also placed on creating algebraic models to represent real-life phenomena. Mathematical vocabulary and notation will be strengthened and extended by applying them in solving real-world problems.
Algebra II
Algebra II is a continuation of college-prep mathematics at the high school level. The course is organized around families of functions, including linear, quadratic, exponential, logarithmic, radical, and rational functions, with the infusion of precalculus concepts throughout. As each family of functions is studied, students will learn to represent them in multiple ways as verbal descriptions, equations, tables, and graphs. Emphasis is also placed on creating algebraic models to represent real-life phenomena. Mathematical vocabulary and notation will be strengthened and extended by applying them in solving real-world problems.
Geometry
The Geometry course is designed to emphasize the study of Euclidean Geometry, covering required concepts such as definitions, postulates (axioms), reasoning, and writing proofs. Topics covered in this course include constructions, logic and proof, parallel and perpendicular lines, transformations, triangle congruence, similarity, trigonometry, coordinate geometry, circles, three-dimensional geometry (including volume and surface area analysis), and probability. Emphasis will be placed on developing critical and analytical thinking skills as they relate to logical reasoning and making connections to real-world situations.
Calculus
Calculus is designed to provide students with an overview of Key topics, including limits and continuity, derivatives, anti-derivatives, and integrals. The course is to support students who plan to take Calculus in college.
AP Statistics
AP Statistics involves the study of four main areas: exploratory data analysis, study design, probability, and statistical inference. According to the College Board, upon entering this course, students are expected to have mathematical maturity and quantitative reasoning ability. Mathematical maturity can be defined as a comprehensive understanding of graphical and algebraic concepts, as presented in Math Analysis, encompassing linear, quadratic, exponential, and logarithmic functions. In contrast to many math classes, this course will require students to read the text. This AP Statistics course is taught as an activity-based course in which students actively construct their own understanding of the concepts and techniques of statistics.
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