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## MATHEMATICS

**Welcome to the Mathematics Course Catalog**

Welcome to the Mathematics Course Catalog page. We trust that you will find this page useful in your search for information about our school's Mathematics program. On this page you will find the name of each course that is offered, and a description of that course. Please use the navigation menu to go back to the Academic Home page to check out the rest of Viola High School's other academic offerings.

**7th Grade Math**

This class is a full year course for students in the 7th grade. Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems; understand meanings of operations and how they relate to one another; compute fluently and make reasonable estimates; recognize, describe, and develop patterns, relations and functions; represent and analyze mathematical situations and structures using algebraic symbols; develop and apply mathematical models to represent and understand quantitative relationships; analyze change in various contexts; characteristics and properties of 2 and 3 dimensional geometric shapes and develop mathematical arguments about geometric relationships; apply transformations and the use of symmetry to analyze mathematical situations; specify locations and describe spatial relationships using coordinate geometry and other representational systems; shall use visualization, spatial reasoning and geometric modeling; use attributes and tools of measurement to describe and compare mathematical and real-world objects; identify and use units, systems and processes of measurement; formulate questions that can be addressed with data; select and use appropriate statistical methods to analyze data; and, develop and evaluate inferences and predictions that are based on data, and understand and apply basic concepts of probability.

**Algebra A**

A full year course for students in grades 8-12 that is the first part of a two-credit algebra course. Algebra B is the second part of a two-credit algebra course. Students who successfully complete Algebra A and Algebra B will meet the Algebra I requirement for graduation. Students will be able to describe and translate among graphic, algebraic, numeric, tabular, and verbal representations of relations and use those representations to solve problems. The process of collecting and analyzing data will be embedded throughout this course. Appropriate technology and manipulatives will be used regularly for instruction and assessment. Students will be able to judge the meaning, utility, and reasonableness of the results of symbol manipulations, including those carried out by technology.

**Pre-AP Algebra I**

A full year course for students in grades 8-12 that should adequately prepare students for Geometry and Algebra II. Students will be able to describe and translate among graphic, algebraic, numeric, tabular, and verbal representations of relations and use those representations to solve problems. The process of collecting and analyzing data will be embedded throughout this course. Appropriate technology and manipulatives will be used regularly for instruction and assessment. Students will be able to judge the meaning, utility, and reasonableness of the results of symbol manipulations, including those carried out by technology.

**Algebra B**

A full year course for students in grades 9-12 that is the second part of a two-credit algebra course. Students who successfully complete Algebra A and Algebra B will meet the Algebra I requirement for graduation. Students will be able to describe and translate among graphic, algebraic, numeric, tabular, and verbal representations of relations and use those representations to solve problems. The process of collecting and analyzing data will be embedded throughout this course. Appropriate technology and manipulatives should be used regularly for instruction and assessment. Students will be able to judge the meaning, utility, and reasonableness of the results of symbol manipulations, including those carried out by technology.

**Prerequisite:** Algebra A

**Algebra II**

A full year course for students in grades 10-12 that builds on basic concepts learned in Algebra I. Students will be able to represent and analyze mathematical situations, analyze and apply a variety of methods to model and graph linear and non-linear functions, use algebraic, graphical and numerical methods for analysis of quadratic equations and functions and polynomials and rational functions, and exponential functions, logarithmic functions, data analysis and probability will be explored.

**Prerequisite:** Pre-AP Algebra I, or Algebra A and Algebra B

**Geometry**

A full year course for students in grades 10-12 that studies shapes and solids and how they relate to the real world. This course will help students develop communication skills, enhance reasoning and make connections within mathematics to other disciplines and the real world. Students will use physical models and appropriate technology to investigate geometric concepts in problem solving situations.

**Prerequisite:** Pre-AP Algebra I, or Algebra A and Algebra B

**Algebraic Connections**

A full year course for students in grades 11 and 12 that will build on a foundation of previously taught Algebra and Geometry concepts, enlarge upon the development of each concept, and introduce new concepts. Students will be expected to evaluate data, interpret data, analyze linear functions, write and solve equations and inequalities and their systems, and use algebraic, graphical, and numerical methods for analysis.

**Prerequisite:** Pre-AP Algebra I, or Algebra A and Algebra B; Geometry

**College Algebra**

A one semester course for students in grades 11 and 12 that meets the minimum requirement for the associate of arts or bachelor degree students. This course requires thinking at a higher level. The successful completion of this course should prepare students for higher level courses in math, accounting, business and science. It should also enable them to transfer these problem solving thought processes to other areas in their lives. Topics include linear and quadratic equations and inequalities, relations, functions and graphs, conic sections, synthetic division, polynomial functions, matrices and exponential and logarithmic functions. College Algebra is the beginning of an organized thought process.

You must pay tuition to Ozarka College for this course and must have a semester average of C or better in order to receive college credit. This course is worth 3 college credits.

**Prerequisite:** Pre-AP Algebra I, or Algebra A and Algebra B; Algebra II; A score of 20 or greater on the ACT math section, or 43 or greater on the algebra portion and an 82 on the reading portion of the COMPASS test

**College Trigonometry**

A one semester course for students in grades 11 and 12 that is the study of angles, right triangles, identities, graphs, equations, inverse functions, polar coordinates and complex numbers. Trigonometry is the foundation for advancement to higher levels of mathematics beyond College Algebra. Trigonometry is an application based course that is a prerequisite for all levels of Calculus. Trigonometry reinforces geometric concepts and allows students to solve problems relating to physics, rotations and surveying.

You must pay tuition to Ozarka College for this course and must have a semester average of C or better in order to receive college credit. This course is worth 3 college credits.

**Prerequisite:** College Algebra

**Pre Calculus with Trigonometry**

A full year course for students in grades 11 and 12 that emphasizes a study of trig functions and identities, as well as applications of right triangle trig, circular functions and polar coordinates. Students will use symbolic reasoning and analytical methods to represent mathematical situations, to express generalizations, and to study mathematical concepts and the relationships among them. Students will use functions and equations as tools for expressing generalizations.

**Prerequisite:** Algebra II; Geometry

**Transition Math**

A full year course for students in grades 11 and 12 that emphasizes numerical and graphical representations, modeling from data, and reasoning clearly and communicating concepts via different methods. Students will use technology throughout this course to help them develop a deeper understanding of mathematical structure.

**Prerequisite:** Algebra II

**AP Calculus**

A full year course for students in 12th grade that is designed to fulfill all the requirements for the AP Calculus AB class from the College Board. The goals of the class are to cover all the required fields for the AP Calculus AB in such a way that the student will be successful on the AP Calculus AB test at the end of the course.

**Prerequisite:** Pre AP Algebra I; Algebra II; Geometry; and either College Algebra/Trig or PreCal/Trig; (High School Trig can be substituted for College Trig)