## Mathematics Course Offerings Online

#### Algebra 1

Algebra 1 is an introduction to and development of beginning algebra skills. Upon completion of this course, students will deepen their knowledge of how to set up and solve algebraic equations and inequalities including word problems, graph linear and nonlinear equations, interpret and describe functions and graphs, and analyze patterns.

#### Geometry

Geometry is an introduction to and development of beginning algebra skills. Upon completion of this course, students will deepen their knowledge of inductive and deductive reasoning, proofs, applying theorems and postulates, measurement, construction, geometric similarities, triangle relationships, congruency, analyzing patterns, properties of polygons, and the connection between geometry and algebra.

#### Algebra 2

Algebra 2 provides a review and extension of the concepts taught in Algebra 1. Upon completion of this course, students will deepen their knowledge of solving equations and inequalities, solving systems, matrices, and graphing and identifying key features. Students study quadratic equations, polynomial functions, radical functions, exponential functions, logarithmic functions, rational functions, quadratic relations and conic sections, trigonometric functions, sequences and series, standard deviation, the Binomial Theorem, the Fundamental Theorem of Algebra, the Law of Sines, and the Law of Cosines. Students also will learn how to use a graphing calculator. Throughout this course, students will develop learning strategies, critical thinking skills, and problem solving techniques to prepare for future math courses.

#### Precalculus

This course covers the concepts and skills necessary for students to succeed in calculus. This course contains an in-depth coverage of trigonometry, logarithms, analytic geometry, and upper-level algebraic concepts. Students develop an understanding of matrices, proofs, statistics, functions, and the graphing calculator. Upon completion of this course, students will be fully prepared for calculus, advanced chemistry, and calculus-based physics.

#### Calculus

This course is an intensive review from algebra, trigonometry, and analytic geometry, and covers all topics normally taught in the first two semesters of a calculus course in college. Upon completion of this course, students will have developed a thorough understanding of derivatives, integrals, limits, continuity, differentiability, and other calculus related concepts.

#### Financial Literacy

The goal of financial literacy is to provide students with the tools to make wise financial decisions. Students learn how current financial decisions affect future financial options. Understanding credit scores, the danger of pay-check to pay-check living, and the principles behind banking is an important foundation taught in Financial Literacy. Students learn purchasing and spending skills as they look into price comparison and explore the many facets sales and budgeting. Students are also introduced to investments and retirements to start thinking about their future, as well as credit card offers, payday loans, car title loans, personal loans, and student loans. Students evaluate offers and recognize misleading data, offers, and scams including pyramid schemes, phishing scams, modeling scams, work-at-home and business opportunity scans, reloading phone call scams, travel telemarketing scams, lottery scams, fake check scams, charity and fundraising fraud, and credit and loan phone scams. The course finishes with taxes: federal income, state income, sales tax, property tax, personal property tax, and other taxes and assessments. Financial Literacy reinforces basic math applications as they exist in everyday life.

#### Personal Finance

An important aspect of every student’s future is the ability to plan and implement sound and responsible financial goals. The Personal Finance course will educate students in a variety of financial and monetary subjects, including the foundations of economics, preparing a budget, understanding paychecks and tax deductions, banking, and the importance of researching the quality of goods to make consumer choices. Lessons of similar topics have been grouped into units to provide smooth transitions from one lesson to the next.

## Mathematics Course Offering Onsite

#### Prealgebra with an Introduction to Geometry

###### (A & B)

###### (1 credit)

This course is a transition from arithmetic to algebra. Upon completion of this course, students will have reviewed basic arithmetic and operations. Students will have learned how to set up and solve elementary algebraic equations and word problems, and calculate volume and surface area. Students develop an understanding of algebraic manipulation with a focus on presenting steps in a logical order.

#### Algebra 1

###### (A & B)

###### (1 credit)

This course is an introduction to and development of beginning algebra skills. Students learn to solve linear equations and inequalities; radical equations; absolute value equations and inequalities; systems of linear equations and inequalities by graphing, substitution, and elimination; quadratic equations by graphing, factoring, completing the square, and the quadratic formula. In order to solve many equations and inequalities, students must apply the following factoring skills taught: factor the greatest common factor, factor polynomials with the lead coefficient of 1 and a number other than one, factor perfect square trinomials and the difference of two squares, and factor by grouping. Students also learn to rewrite linear equations in slope-intercept form, point-slope form, and standard form, as well as graph linear equations, absolute value equations, square root functions, exponential functions, quadratic equations, and rational functions. Other topics covered in this course include: the order of operations, patterns and functions, measures of central tendency, theoretical and experimental probability, proportions, the Pythagorean Theorem, direct and inverse variation, slope, parallel and perpendicular lines, scatterplots, scientific notation, geometric sequences, exponential growth and decay, polynomial division, trigonometric ratios, and permutations and combinations. In addition, this course incorporates AIMS mathematics preparation, Frayer model and root parts vocabulary building, and a focus on careers that use algebra.

#### Geometry

###### (A & B)

###### (1 credit)

This course covers concepts including measures, reasoning and proofs, parallel and perpendicular lines, congruence and similarity, perimeter, area, surface area, volume, transformations, vectors, construction, right triangles and trigonometry, geometric probability, and 2-dimensional and 3-dimensional views. Students will review algebraic concepts, and set up and use algebraic expressions to interpret and apply geometric relationships as well as explore geometric principles in real-world settings. In addition, this course incorporates AIMS mathematics preparation, Frayer model and root part vocabulary building, and a focus on careers that use geometry.

#### Algebra 2/Geometry 2

###### (A & B)

###### (1 credit)

This course is a continuation of developing algebraic skills. Upon completion of this course, students will have reviewed introductory algebra and geometry, while learning more advanced concepts. Students will continue the study of geometry, including the fundamental trigonometric ratios and begin to study geometric proofs. Students will develop a thorough understanding of the complex number system, advanced algebraic problems, advanced word problems, and geometric theorems.

#### Basic Math Skills

###### (A & B)

###### (1 credit)

This course reviews basic math including, addition, subtraction, multiplication, division of who numbers, decimals and fractions.

#### Precalculus with Advanced Geometry

###### (A & B)

###### (1 credit)

This coursecovers the concepts and skills necessary for students to succeed in calculus. This course contains an in-depth coverage of trigonometry, logarithms, analytic geometry, and upper-level algebraic concepts. Students develop an understanding of matrices, proofs, statistics, functions, and the graphing calculator. Upon completion of this course, students will be fully prepared for calculus, advanced chemistry, and calculus-based physics.

#### Calculus with Trigonometry and Analytic Geometry

###### (A & B)

###### (1 credit)

This courseis an intensive review from algebra, trigonometry, and analytic geometry, and covers all topics normally taught in the first two semesters of a calculus course in college. Upon completion of this course, students will have developed a thorough understanding of derivatives, integrals, limits, continuity, differentiability, and other calculus related concepts.

#### Financial Literacy A

###### (0.5 credit)

The goal of financial literacy is to provide students with the tools to make wise financial decisions. Students learn how current financial decisions affect future financial options. Understanding credit scores, the danger of pay-check to pay-check living, and the principles behind banking is an important foundation taught in Financial Literacy. Students learn purchasing and spending skills as they look into price comparison and explore the many facets sales and budgeting. Students are also introduced to investments and retirements to start thinking about their future, as well as credit card offers, payday loans, car title loans, personal loans, and student loans. Students evaluate offers and recognize misleading data, offers, and scams including pyramid schemes, phishing scams, modeling scams, work-at-home and business opportunity scans, reloading phone call scams, travel telemarketing scams, lottery scams, fake check scams, charity and fundraising fraud, and credit and loan phone scams. The course finishes with taxes: federal income, state income, sales tax, property tax, personal property tax, and other taxes and assessments. Financial Literacy reinforces basic math applications as they exist in everyday life.

#### AIMS MATH Prep

###### (A & B)

###### (0.5 elective credit)

This courseis an intensive review of all state standards that may appear on the AIMS MATH exam in the same format as the AIMS MATH exam. After completion of this course, students will successfully pass the AIMS MATH exam.

#### Test Taking Skills: Mathematics

###### (0.25 elective credit)

This course is a review of mathematical concepts likely to appear on a freshman standardized test.