## Mathematics

**Algebra 1 Foundations**

Algebra Foundations focuses on the foundations of algebra, linear equations, ratios and proportions, solving and graphing inequalities, and the application of the Common Core Mathematical Practices. Prerequisite: None

**Algebra 1-1**

This is the first part of a two course cycle, credit will be granted after completion of the second part. Algebra I courses include the study of properties and operations of the real number system; evaluating rational algebraic expressions; solving and graphing first degree equations and inequalities; translating word problems into equations; operations with and factoring of polynomials; and solving simple quadratic equations. Prerequisite: Algebra 1 Foundations

**Algebra 1-2**

Algebra I is mapped to AzMERIT End of Course (EOC) Algebra I assessment. The second part in a multi-part sequence of Algebra I. This course generally covers the same topics as the second semester of Algebra I, including the study of properties of the real number system and operations, evaluating rational algebraic expressions, solving and graphing first degree equations and inequalities, translating word problems into equations, operations with and factoring of polynomials, and solving simple quadratics. Prerequisite: Algebra 1 Foundations & Algebra 1-1

**Project Based Algebra**

Project-based learning gives students real-world opportunities to think analytically, formulate ideas, and solve increasingly complex problems using algebraic expressions. Algebra 1 combines all the elements needed for successful algebra instruction, including assessment, collaborative activities, practice, and engaging projects. The course is considered a freshman level math class and is worth 0.5 credit. Prerequisite: Algebra Series

**Geometry Foundations**

Principles of Algebra and Geometry courses combine the study of some pre-algebra and algebra topics with introductory geometry topics. These courses include the study of formulas, algebraic expressions, first degree equations and inequalities, the rectangular coordinate system, area, perimeter, and volume of geometric figures, and properties of triangles and circles.

**Geometry 1**

This is the first part of a two course cycle, credit will be granted after completion of the second part. Geometry courses, emphasizing an abstract, formal approach to the study of geometry, typically include topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles.

**Geometry 2**

Geometry is mapped to AzMERIT End of Course (EOC) Geometry assessment. Geometry courses, emphasizing an abstract, formal approach to the study of geometry, typically include topics such as properties of plane and solid figures; deductive methods of reasoning and use of logic; geometry as an axiomatic system including the study of postulates, theorems, and formal proofs; concepts of congruence, similarity, parallelism, perpendicularity, and proportion; and rules of angle measurement in triangles.

**Project Based Geometry**

Project-Based Geometry will help students build the skills and confidence that will help them conquer any mathematical problem and develop 21st century skills such as communication, collaboration, and teamwork. We will use a project-based approach to integrating technology into core geometry instruction. Each project is based around a specific driving questions and takes students on a unique journey through the geometry standards. The course is considered a sophomore level math class and is worth 0.5 credit. Prerequisite: Algebra series, Geometry Series

**Statistics**

Probability and 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.

**Algebra 2-1**

This is the first part of a two course cycle, credit will be granted after completion of the second part. (AZ02059) Algebra II course topics typically include field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; graphing of constant, linear, and quadratic equations; properties of higher degree equations; and operations with rational and irrational exponents.

**Algebra 2-2**

Algebra II is mapped to AzMERIT End of Course (EOC) Algebra II assessment. Algebra II course topics typically include field properties and theorems; set theory; operations with rational and irrational expressions; factoring of rational expressions; in-depth study of linear equations and inequalities; quadratic equations; solving systems of linear and quadratic equations; graphing of constant, linear, and quadratic equations; properties of higher degree equations; and operations with rational and irrational exponents.

**Financial Algebra**

Business Math with Algebra courses teach and have students apply algebra concepts to a variety of business and financial situations. Applications usually include income, insurance, credit, banking, taxation, stocks and bonds, and finance.