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Math

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Mathematics Department

 

The Mathematics department is committed to rigorously preparing students for success in college and beyond by focusing on problem solving, reasoning and proofs, communication, representations, and connections between mathematical disciplines. We offer a progression of Algebra I, II, Geometry, and Pre-calculus courses, as well as Honors and pre-AP courses for advanced students. In their last two years, students have the option of enrolling in Statistics, Regular Calculus, or Advanced Placement AB and BC Calculus.

Advanced Placement (AP) courses are college-level courses that follow the College Board Advanced Placement guidelines. These courses involve an extensive accumulation of knowledge in the field that is tested on the AP exam. Colleges and universities have the option of accepting the AP results for college credit. McKinley Technology High School requires all students to enroll in at least two AP courses.

 

Algebra I – 1.0 Credit

This Math course focuses on the understanding of the real number system as a basic structure of algebra and to acquire facility in applying algebraic concepts to problem solving. Students will do operations with real numbers, solving equations and inequalities in one variable, lines and graphing, polynomials and algebraic fractions, factoring, solving systems of equations, and the quadratic formula.

 

Honors Algebra I – 1.0 Credit

This Math course is designed to challenge gifted math students. All of the topics in Algebra I are taught along with the following additional topics: rational functions, radical Graduation equations, and trigonometric ratios.

 

Geometry – 1.0 Credit

This Math course studies Euclid's postulates and theorems as the basis for an axiomatic system. Students will explore geometry through inductive and deductive processes using proofs and making algebraic connections where appropriate. Students will do investigations that include logic, angle and line relationships, triangles and other polygons, congruence, similarity, and coordinate geometry.

 

Honors Geometry – 1.0 Credit

This Math course teaches students complex geometric concepts from algebraic and inductive reasoning perspectives. Students will do challenging activities that require them to identify, analyze, and solve problems involving the following topics: segments, angles, triangles, quadrilaterals, polyhedral, circles, spheres, transformations, if-then statements, and proofs. There is a heavy emphasis on proofs in the honors course. Students will also learn the abstract and symbolic nature of geometry, as well as the application, analysis, and synthesis levels of understanding.

 

Probability & Stats – 1.0 Credit

Prob./Stat part 1: This Math course covers probability, including applications of the counting theory. Students will learn and be able to perform activities including simulation of probability models using current technology, analysis of games of chance, reliability theory, decision theory, applications of Bayes theorem, and distribution theory. Prob./Stat Part II: This Math course introduces statistics topics that include many real-world applications. Students will learn techniques necessary to run a statistical test for a final project. Students will also gather and organize data, and then analyze and interpret this data incorporating skills learned throughout the semester. This course combines the two half credit Prob./Stat courses I & II.

 

Algebra II & Trigonometry – 1.0 Credit

This Math course explores functions algebraically, as well as numerically and graphically, using technology and manipulatives. The student will know the concepts of complex numbers, matrices, systems of equations and inequalities, sequences and series, probability using permutations and combinations, and trigonometry.

 

Honors Algebra II – 1.0 Credit

This Math course is an intensive, accelerated course intended to prepare students for advanced mathematics courses. Students will focus on the use of technology and data analysis to develop reasoning, thinking, problem-solving, and communication skills. Students will learn about families of functions, systems of equations, matrix applications, combinatorics, sequences and series, complex numbers, and trigonometry.

 

Pre-Calculus – 1.0 Credit

This Pre-Calculus course will include exponential, power, polynomial, rational, logarithmic, and piece-wise functions, along with trigonometric functions and their inverses. Students investigate and explore mathematical ideas using methods that help them gain a deep understanding of fundamental concept. This Pre-Calculus course will include exponential, power, polynomial, rational, logarithmic, and piece-wise functions, along with trigonometric functions and their inverses. Students investigate and explore mathematical ideas using methods that help them gain a deep understanding of fundamental concepts, develop multiple strategies for analyzing complex situations, and acquire appropriate technological skills. Students analyze situations verbally, numerically, graphically, and symbolically.

 

Honors Pre-Calculus -1.0 Credit

This Math course further develops and integrates the major math strands of algebra, geometry, and trigonometry. Students will learn and complete advanced units of study in elementary algebraic and transcendental functions; circle and triangle trigonometry; statistics and probability; two- and three dimensional vectors; matrices, determinants and fractals; polar coordinates and complex numbers; sequences and series; and an introduction to the calculus concepts of limits and derivatives.

 

Conc & Context of Calculus – 1.0 Credit

This Math course builds on students' experience with functions and introduces the basic concepts and skills of calculus. Students will investigate and apply the properties of polynomial, exponential, and logarithmic functions; broaden their understanding of the mathematics associated with rates of change; and develop facility with the concepts and skills of differential calculus as applied to polynomial, rational, exponential, and logarithmic functions.

 

AP Calculus AB – 1.0 Credit

This is a college level Math class with college level expectations. Students will learn limits, continuity, derivatives of functions, the definite integral, and their real-world applications. Topics will include products, quotients, parametric functions, the calculus of exponential and logarithmic functions, the calculus of growth and decay, algebraic calculus techniques for the elementary functions, and the calculus of average, extreme, and vector motion. Students investigate and explore situations graphically, numerically, and symbolically. Participation in AP professional development is required to teach an AP course.

 

AP Calculus BC – 1.0 Credit

This is a college level Math class with college level expectations. Students will learn limits, continuity, derivatives of functions, the definite integral, and their real-world applications. Topics will include products, quotients, parametric functions, the calculus of exponential and logarithmic functions, the calculus of growth and decay, algebraic calculus techniques for the elementary functions, and the calculus of average, extreme, and vector motion. Students investigate and explore situations graphically, numerically, and symbolically. Participation in AP professional development is required to teach an AP course.

 

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