Math Course Descriptions

Math

MATH - (All students must have a graphing calculator; we recommend the TI-84 Plus) 

Algebra I

Grade:  9

2 Semesters (1 Credit)

Prerequisite: Pre-Algebra

Students will learn to solve and apply equations to real-life situations.  Linear equations and their graphs will be studied in great depth.  Students will learn to solve systems of equations and inequalities.  They will also learn about basic statistics.  Finally the students will be introduced to polynomials and radicals.  Students are required to have a model of the TI-84 calculator for this class. 

Geometry

Grade: 9-10                

2 Semesters (1 Credit)

Prerequisite: Algebra I in high school or “B” or higher in junior high

This is a standard sophomore course in two and three-dimensional geometry. Some major topics covered are: transformations, parallel and perpendicular lines, polygons, similar and congruent triangles, the Pythagorean theorem, circles, prisms, constructions, perimeters, areas, and volumes. Students are required to have a model of the TI-84 calculator for this class.

Honors Geometry

Grade: 9-10    

2 Semesters (1 Credit)

Prerequisite:  Algebra I with an “A” during both semesters, a placement test or a teacher recommendation - NO EXCEPTIONS to prerequisite requirements

This is an advanced course in two and three-dimensional geometry. Some major topics covered are: transformations, parallel and perpendicular lines, polygons, similar and congruent triangles, the Pythagorean theorem, circles, prisms, constructions, perimeters, areas, and volumes. Students are required to have a model of the TI-84 calculator for this class.  Completion of the summer review packet is due on the first day of school.

Algebra II

Grade:  10-12

2 Semesters (1 Credit)

Prerequisite:  Algebra I and Geometry

This course will cover: linear systems, quadratic equations and functions, polynomials and polynomial functions, radical functions and rational exponents, rational functions, exponential functions and logarithmic functions. Students are required to have a model of the TI-84 calculator for this class. Graphing calculators are used to expand understanding.  The instructor will provide grade appropriate standardized testing preparation.

Honors Algebra II

Grade: 10-11

2 Semesters (1 Credit)

Prerequisite: Geometry Honors with a “B” or higher during both semesters or a teacher recommendation

This is an advanced course that will cover quadratic equations and functions, polynomials and polynomial functions, radical functions and rational exponents, rational functions, exponential functions and logarithmic functions. Students are required to have a model of the TI-84 calculator for this class. Graphing calculators are used to expand understanding. The instructor will provide grade appropriate standardized testing preparation. Completion of the summer review packet is due on the first day of school.

Introduction to Statistics

Grade: 11-12

2 Semesters (1 Credit)

Prerequisite:  Algebra II or Algebra II Honors 

Introduction to Statistics courses introduce the study of likely events and the analysis, interpretation, and presentation of quantitative data. Course topics generally include basic probability and statistics: discrete probability theory, odds and probabilities, probability trees, populations and samples, frequency tables, measures of central tendency, and presentation of data (including graphs). Course topics may also include normal distribution and measures of variability.

Precalculus: Trigonometry and Analytic Geometry

Grade:  11-12

2 Semesters (1 Credit)

Prerequisite: Algebra I, Geometry, and Algebra II 

This course includes the study of angles, triangles and the trigonometric functions and their inverses.  Equation solving is essential and applications are emphasized, especially in finding sides and angles in triangles when solving problems from the sciences and engineering.  Vector quantities are studied by using problems pertaining to navigation and mechanics (physics).  It also includes the integration of Algebra and Geometry dealing with relationships between equations and their graphs, notably the conic sections.  Considerations include the use of reference systems and alterations in them to simplify communication of information.  If time permits, calculus is introduced and is primarily concerned with the nature of the derivative and its significance in relation to equations and graphs.  If time permits, sequences and series will be introduced.  Students are required to have a model of the TI-84 calculator for this class. Graphing calculators are used to expand understanding.

Honors Precalculus:  Trigonometry and Analytic Geometry  

Grade: 11-12

2 Semesters (1 Credit)

Prerequisite: Algebra II Honors with a "B" or higher during both semesters or a teacher recommendation

This is an advanced course that includes the study of angles, triangles and the trigonometric functions and their inverses. Equation solving is essential and applications are emphasized, especially in finding sides and angles in triangles when solving problems from the sciences and engineering. Vector quantities are studied by using problems pertaining to navigation and mechanics (physics). It also includes the integration of Algebra and Geometry dealing with relationships between equations and their graphs, notably the conic sections. Considerations include the use of reference systems and alterations in them to simplify communication of information. If time permits, calculus is introduced and is primarily concerned with the nature of the derivative and its significance in relation to equations and graphs. If time permits, sequences and series will be introduced. Students are required to have a model of the TI-84 calculator for this class. Graphing calculators are used to expand understanding. Completion of the summer review packet is due on the first day of school.

AP Calculus AB

Grade:  12

2 Semesters (1 Credit)

Prerequisite:  Precalculus with a “B” or higher during both semesters or a teacher recommendation

This course is an introduction to calculus with elementary functions and includes the topics that are part of the Advanced Placement Calculus AB syllabus for differential and integral calculus. Students will work together as a group to achieve a passing grade on the AP Calculus AB exam as well as preparing to succeed at the collegiate level.  The course will explore calculus through the interpretation of graphs and tables as well as analytical methods.  The use of technology is integrated to provide a balanced approach to learning that involves:  algebraic, numerical, graphical, verbal, and written methods.  Students will be encouraged to be inquisitive, to ask challenging questions and explore. Students are required to have a model of the TI-84 calculator for this class. Students completing the course have the opportunity to take the AP Calculus AB exam, administered by the CollegeBoard in the spring, which could qualify them to receive college credit for the course. The exam is not mandatory, but is highly recommended.  All grades in AP courses are weighted in the 5.0 point weighted system. College equivalent work is expected from all students. Completion of the summer review packet is required upon returning to school. AP Courses cannot be dropped or leveled down after 1st semester without teacher approval.

Applied Calculus

Grade: 12

1 Semester (.5 Credit)

Prerequisite:  Honors Algebra II or Honors Precalculus or Precalculus or Intro to Statistics

Applied Calculus is a calculus course for those students interested in business, economics, or other business related fields. This course will use applications of the business world through functions, graphs, limits, exponential  and logarithmic functions, differentiation, integration, partial derivatives, and optimization. The use of business technologies, including Google Suite and online graphing utilities are incorporated to expand understanding. College equivalent work is expected from all students. 

Probability

Grade: 12

1 Semester (.5 Credit)

Prerequisite:  Calculus for Business or Applied Calculus

Probability is an expansion of Calculus for Business and is the continuation of the information learned. This course covers: permutations

and combinations, set theory, functions, discrete and continuous sample spaces, probability functions, conditional probability,

independent events, probability distribution functions for discrete random variables, cumulative probability, probability density functions,

and joint probability.

Transitional Math (Quantitative Literacy and Statistics Pathway)

Grade:  12

2 Semesters (1 Credit)

Prerequisite: Already met high school math graduation requirement; placement based on teacher or counselor recommendation and State placement criteria

Transitional math enables students to develop conceptual understanding and problem solving competence while increasing college readiness in mathematics.  The course focuses on developing mathematical maturity and college readiness through problem solving, problem and project-based learning, critical thinking, data analysis, and the writing and communication of mathematics.In accordance with and subject to the PWR Act, successful attainment of transitional mathematics competencies (“C” or better) in the Quantitative Literacy and Statistics Pathway guarantees student placement into a community college GECC mathematics course (not in a calculus-based course sequence) which includes: general education statistics, general education mathematics, quantitative literacy, or elementary math modeling.