Mathematics Jesreel Goldberg 2016-12-15T12:56:29+00:00 Utilizing an innovative browser-based math curriculum, students master concepts in subject areas such as Algebra, Geometry and Advanced Math. This interactive format is challenging, yet engaging, and exceeds the most demanding academic expectations.

*Click on a course below for description, suggested grade level and prerequisite requirements:*

Students in Algebra 1A begin by looking at the relationships between quantities, and by reasoning with equations. They proceed to study linear and exponential relationships, with the focus in this first course on linear relationships. They also spend some time analyzing descriptive statistics. Algebra 1A represents the first half of first-year algebra aligned to the rigorous standards. In this course, students explore the fundamentals of algebra. They start with the basics of expressions and equations, and they progress into linear equations and inequalities, including systems and transformations, as well as modeling in context. Students finish with a short introduction to basic statistics. Students have the opportunity to see how the knowledge they learned in middle school math can be applied specifically to linear equations, inequalities, and systems. Later, in Algebra 1B, students set the basis for understanding quadratics, as well as learning more about the logical progression of mathematics, which sets the students up for success in Geometry and Algebra 2.

**Suggested grade level:** 9

**Prerequisites:** None

Students in Algebra1B begin by exploring quadratic equations and quadratic functions, and then move on to factoring expressions. Next, they work on exponential functions and their graphs. Students conclude the course by looking at functions that fall into other categories. Algebra 1B is the second half of first-year algebra aligned to the rigorous standards. In this course, students explore the fundamentals of Algebra. They begin by exploring quadratic equations, relating them to, and building upon, their knowledge of linear equations. Students then work on quadratic functions, including how to solve for the zeros of a function by using factoring and other methods. Next, students dive into exponential functions, with a focus on comparing these functions to linear and quadratic functions, as well as transformations on the functions. Finally, students wrap up their understanding of algebra by looking at absolute value, piecewise, and step functions. Students have the opportunity to see how linear, quadratic, and exponential functions are related, and how they differ. They’ll set the basis for understanding the inter-relatedness of functions in Algebra 2, as well as learn more about the logical progression of mathematics, which sets students up for success in both Geometry and Algebra 2.

**Suggested grade level:** 9

**Prerequisites:** Algebra 1A

The content in each lesson of Geometry A is interwoven, in a story-telling style, with the adventures of Geomethor, a superhero who strives to save his world through the use of geometry. Students explore congruence, proofs, and constructions in the first three units before they continue on to study similarity, additional proofs, and trigonometry in the next two units. Students conclude their studies by extending to the third dimension. Geometry A is the first half of the full Geometry course. Students in this course develop a deep understanding of the logical and rigorous proving system of geometry. Students begin by looking at congruence, proofs, and constructions. In doing so, they define and use the basic geometric terms, then advance to proving statements about lines, angles, triangles, and quadrilaterals. Students apply the knowledge they have of planar transformations to learn a formal definition for similarity, and then they use that definition to write proofs and construct figures. In addition, students are introduced to trigonometry through its connection to the concept of similarity. Finally, students explore three-dimensional figures such as planar solids and solids of revolution. Students have the opportunity to apply the basic understanding of geometric figures that they achieved in middle school mathematics to a more formal, rigorous proof system. Students also incorporate algebraic concepts into the same formal proof methodology. In doing so, students can better prepare themselves for the complexity of Algebra 2 and also have a basis for understanding the concepts of calculus and advanced mathematics.

**Suggested grade level:** 10

**Prerequisites:** Algebra 1A & Algebra 1B

The lessons in Geometry B are all written in a story-telling style, following the adventures of Hypatia, a hero of Geometry, as she helps save her world through the use of Geometry. Students will explore connections between algebra and geometry, through coordinates, circles with and without coordinates, and applications of probability. Geometry B is the second half of the Geometry course. Students will continue to apply the rigorous proofs that were a part of Geometry A as well as look at coordinates and how they can be analyzed to produce certain figures and relationships. Students will start by proving simple geometric theorems algebraically and translating between geometric descriptions and equations of conic sections. Then, students will learn and apply theorems about circles, find arc lengths and areas of sectors, and apply geometric concepts in modeling situations. Finally, students will look at probability and rules of independence and dependence, conditional probability, compound events, and outcomes while also examining probability models. Students will have the opportunity to apply their basic understanding of geometric figures they achieved in middle school mathematics and Geometry A to elements of probability as well as analysis. Students will also incorporate algebraic concepts into formal proof methodology. In so doing, students will be better prepared for the complexity of Algebra 2 and also have a basis for understanding the concepts of Calculus and advanced mathematics

**Suggested grade level:** 10

**Prerequisites:** Geometry A

Algebra 2A is an advanced course in mathematics. It gives you the opportunity to further your skills in the areas of interpreting and evaluating algebraic expressions. If you are planning to go on in any science, engineering, accounting, or mathematical field, this course provides excellent preparation.

**Suggested grade level:** 11

**Prerequisites:** Algebra 1 & Geometry

Algebra 2B completes the studies of high school algebra and prepares students to advance to trigonometry, precalculus, and beyond. This course provides the opportunity for students to develop and strengthen skills to read and evaluate algebraic expressions. Topics covered include exponential and logarithmic functions, rational and radical functions, properties, and attributes of functions, conic sections, and data analysis. It also includes an introduction to probability and trigonometry

**Suggested grade level:** 11

**Prerequisites:** Algebra 2A & Geometry

Practical Math & Life Skills provides the mathematical tools by which students move toward becoming financially literate. Students understand the realities of making money, deductions on income, selecting accounts, and making large purchases, such as buying a car or a home. Students practice research skills, and employ the power of mathematics and their own creativity to plan, interpret, and manage their personal finances

**Suggested grade level:** 11

**Prerequisites:** Algebra 1 & Geometry

Business Math provides the mathematical tools by which high school students might become financially literate. This course concentrates on business-related skills that require mathematics. As students practice calculations, find percentages, solve unknowns in equations, use spreadsheets, and work with exponents, they learn about the ins and outs of running a business.

**Suggested grade level:** 11

**Prerequisites:** Algebra 1 & Geometry

Trigonometry can be thought of as a specialized study of Geometry. Focusing on the study of triangles, angles, and trigonometric functions, it provides students with experience in advanced mathematic concepts. From a practical point of view, students see how measurements and formulas shed light on everyday life. They find that trigonometry can save a life on a raft, predict astronomical events, and locate a forest fire.

**Suggested grade level:** 12

**Prerequisites:** Algebra 2B

Pre-calculus expands the student’s knowledge of Algebra and Geometry. Pre-calculus covers functions and their graphs, equations and inequalities, polynomial and rational functions, exponential and logarithmic functions, sequences and series, and analytic geometry. This course assists the student in making the transition to college level mathematics. By the time the student completes this course, the student will be prepared for Calculus!

**Suggested grade level:** 12

**Prerequisites:** Algebra 2B