**At St. George’s, we believe the coalescence of math and science** is necessary to create highly adept, numerically and scientifically literate students. An intentional and well-planned mathematics and science curriculum prepares St. George’s students for an evolving and global world as well as for advanced study in college. An integrated approach to the curriculum and its emphasis on technology seeks to combine mathematical concepts with concrete matters that are addressed in other areas of academic disciplines. High standards with regard to skill development and conceptual understanding are reinforced through project-based learning that encourages students to apply ideas in real-life settings. Through such integration the mathematical concepts being learned in the specific math classes are reinforced and enriched.

Department Chair: Ms. Page McMullen, pmcmullen@sgis.org

### Math 6 - Accelerated

Semesters: two

Sixth grade math students delve further into decimals, integers, and fractions. As the year progresses the math students begin work with exponents, equations, inequalities, as well as ratios, rates, and proportions. Students then work with percents, probability, coordinate planes, and some geometric concepts are introduced as students prepare for seventh grade math. Technology is used throughout the curriculum to further enhance individual learning and practice of key concepts within the curriculum. Finally, students continue to sharpen and hone their math skills through drill and practice, mental math exercises, critical thinking activities, and class projects.

### Math 6 - Honors

Semesters: two

Sixth grade math students delve further into decimals, integers, and fractions. As the year progresses the math students begin work with exponents, equations, inequalities, as well as ratios, rates, and proportions. Students then work with percents, probability, coordinate planes, and some geometric concepts are introduced as students prepare for seventh grade math. Technology is used throughout the curriculum to further enhance individual learning and practice of key concepts within the curriculum. Finally, students continue to sharpen and hone their math skills through drill and practice, mental math exercises, critical thinking activities, and class projects. Students in Math 6 Honors delve deeper into topics than students in Math 6 through examining more applications and critical thinking exercises, as well as additional topics, at a much faster pace.

### Foundations of Mathematics (Grade 7 or 8)

Semesters: two

Prerequisite: BY PLACEMENT ONLY

This course is designed to accompany the student’s course of math study but identify areas for additional practice and work towards mastery from our Measures of Academic Progress (MAP) standardized testing, the student’s previous year’s math study, and additional formative assessments.

### Pre-Algebra 7 - Accelerated

Semesters: two

Accelerated Pre-Algebra prepares students for Algebra I and Geometry. Integers and algebraic concepts are reviewed beginning in chapter 1 to strengthen students' algebraic thinking skills as well as strengthen the skills learned in Math 6. Throughout the course algebraic concepts are connected to arithmetic skills to build on what students know. Geometry concepts are integrated when appropriate to foster connections. Students solve equations and use equivalent forms for expressions involving like terms and exponents. Students relate slope and y-intercept to graphs and linear expressions. In Pre-Algebra 7, visualization continues with consistent modeling of algebra expressions, percent, problem solving, linear equations and inequalities, and probabilities. During Pre-Algebra, students begin learning how to use graphing calculators.

### Pre-Algebra 7 - Honors

Semesters: two

Honors Pre-Algebra prepares students for Algebra I and Geometry at a faster pace and in more depth. Integers and algebraic concepts are reviewed beginning in chapter 1 to strengthen students' algebraic thinking skills as well as strengthen the skills learned in Math 6. Throughout the course algebraic concepts are connected to arithmetic skills to build on what students know. Geometry concepts are integrated when appropriate to foster connections. Students solve equations and use equivalent forms for expressions involving like terms and exponents. Students relate rate of change, slope, and y-intercept to graphs and linear expressions. In Honors Pre-Algebra, visualization continues with consistent modeling of algebra expressions, percent, problem solving, linear equations and inequalities, and probabilities. During Honors Pre-Algebra, students begin learning how to use graphing calculators.

### Algebra I - Accelerated (Grade 8 or 9)

Semesters: two

Prerequisite: Pre-Algebra

In Accelerated Algebra I, students strengthen their knowledge of the real number system, functions, and polynomials. Initially, students study the properties of real numbers and how to calculate with them. Throughout the course, students learn to evaluate formulas; solve, graph, and write linear and quadratic equations and inequalities; solve systems of equations and inequalities; factor polynomials; and simplify radical and rational expressions. Additional topics that encourage and promote logical and critical thinking are also included as well as a focus on strengthening their number sense. During Algebra I, students continue learning how to use their graphing calculators.

### Algebra I - Honors (Grade 7 or 8)

Semesters: two

Prerequisite: Pre-Algebra Honors or Teacher Recommendation

See qualifications for advanced/AP courses.

In Honors Algebra I, students strengthen their knowledge of the real number system, functions, and polynomials. Initially, students study the properties of real numbers and how to calculate with them. Throughout the course, students learn to evaluate formulas; solve, graph, and write linear and quadratic equations and inequalities; solve systems of equations and inequalities; factor polynomials; simplify radical and rational expressions; and solving rational and radical equations. Additional topics that encourage and promote logical and critical thinking are also included as well as a focus on strengthening their number sense. During Algebra I, students continue to learn how to use their graphing calculators. Students in Honors Algebra I delve deeper and cover topics more rapidly than students in Accelerated Algebra I and solve a larger variety of application and word problems.

### Algebra I - Honors (Grade 9)

Semesters: two

Prerequisite: Pre-Algebra

In Algebra I, students strengthen their knowledge of the real number system, functions, and polynomials. Initially, students study the properties of real numbers and how to calculate with them. Throughout the course, students learn to evaluate formulas; solve, graph, and write linear and quadratic equations and inequalities; solve systems of equations and inequalities; factor polynomials; and simplify radical and rational expressions. Additional topics that encourage and promote logical and critical thinking are also included as well as a focus on strengthening their number sense. During Algebra I, students continue learning how to use their graphing calculators.

### Geometry (Grade 9 or 10)

Semesters: two

Prerequisite: Algebra I

Students apply techniques of inductive and deductive reasoning as they write geometric proofs. They learn to identify angle relationships, triangle congruence, perpendicular and parallel lines, and to apply the properties of circles, polygons, and right triangles to real world problems. Students learn how to compute both the area of plane figures and the surface area and volume of solids. Students apply basic principles of algebra where appropriate and demonstrate flexibility with coordinate geometry.

### Geometry – Honors (Grade 8 or 9)

Semesters: two

Prerequisite: Algebra I or Accelerated Algebra I

See qualifications for advanced/AP courses.

Students apply techniques of inductive and deductive reasoning as they write geometric proofs. They learn to identify angle relationships, triangle congruence, perpendicular and parallel lines, and to apply the properties of circles, polygons, and right triangles to real world problems. Students learn how to compute both the area of plane figures and the surface area and volume of solids. Students apply basic principles of algebra where appropriate and demonstrate mastery with coordinate geometry. Additionally, students are introduced to right triangle trigonometry and their applications in the real world. Honors students should expect a rapid pace and more in-depth coverage.

### Algebra II (Grade 10 or 11)

Semesters: two

Prerequisite: Geometry or Geometry – Honors

Algebra II focuses on the study of functions, their graphs, and their properties. Specific functions covered include linear, quadratic, exponential, and logarithmic. However, Algebra II also touches on a wide variety of other topics including, but not limited to, solving higher order equations and inequalities, and polynomial and rational expressions. Students develop a clear understanding of the relationship between algebraic equations and their graphs. All work revolves around the process of solving a problem and the mathematical concepts rather than just “getting the answer.” Problem solving through both traditional algebraic methods and graphical methods is an important component of the class.

### Algebra II – Honors (Grade 9 or 10)

Semesters: two

Prerequisite: Geometry or Geometry – Honors

See qualifications for advanced/AP courses.

While Algebra II Honors is a continuation of the concepts learned in Algebra I, this course introduces the student to some of the theory behind those concepts. Honors Algebra II emphasizes the strong and integral relationship between functions and their graphs. Students solve problems both algebraically and graphically using pencil and paper as well as a graphing calculator. Students are asked to think beyond calculations and contemplate the roots and the derivations of the topics. Honors Algebra II is a preparatory course for PreCalculus. To that end, this course covers a variety of topics such as linear and nonlinear functions, relations and systems; exponents and logarithms; rational functions; and radical functions. Problem-solving strategies, as well as how concepts are applied, will be emphasized throughout the course.

### Advanced Topics in Applied Math (Grade 11)

Semesters: two

Prerequisite: Algebra II

Applied mathematics offers a real world, functional approach to learning mathematics and developing numeracy. The emphasis of this course is on the ability to understand and apply mathematics to solve problems in context. Topics covered in this course include, but are not limited to, mathematical modeling to analyze and solve realistic problems, an extensive exploration of trigonometric functions and how they appear in everyday life, transformations of functions, and series and sequences. Technology will be heavily used to support understanding of the concepts taught.

### Functions and Data Analysis (Grade 12)

Semesters: two

Prerequisite: BY PLACEMENT ONLY

Functions and Data Analysis is designed to deepen students’ understanding of fundamental functions as well as provide essential knowledge of statistics that is necessary to navigate today’s data driven society. Students will extend their knowledge of polynomials, roots, powers, and logarithms. Additionally, they will explore data, counting principles, probability, and inference as well as examine Normal and binomial distributions. Statistics is learned as a tool used in decision making. Students will learn to gather, analyze, interpret, and report their findings in a systematic and mathematical manner.

### Precalculus (Grade 11 or 12)

Semesters: two

Prerequisite: Algebra II, Algebra II – Honors, or Advanced Topics in Applied Math

This is a functions-based course that both synthesizes concepts taught in Algebra II and introduces new concepts, preparing students for calculus and statistics and cultivating mathematical imagination and flexible thinking. In addition to providing opportunities to practice both individually and collaboratively, this course utilizes a four-pronged approach to examine mathematical concepts: graphically, algebraically, geometrically, and verbally. Students use technology and make connections, not only to previous and future math courses but to the world around them. Topics covered include functions (polynomial, rational, exponential, logarithmic, and trigonometric), probability, series and sequence, conics, and analytic trigonometry.

### Precalculus – Honors (Grade 10 or 11)

Semesters: two

Prerequisite: Algebra II or Algebra II – Honors

See qualifications for advanced/AP courses.

This is a functions-based course that both synthesizes concepts taught in Algebra II and introduces new concepts, preparing students for AP Calculus AB and cultivating mathematical imagination and flexible thinking. Students use technology and make connections, not only to previous and future math courses but to the world around them. In addition to providing opportunities to practice individually and collaboratively, this course utilizes a four-pronged approach to examine mathematical concepts: graphically, algebraically, geometrically, and verbally. Topics covered include functions (polynomial, rational, exponential, logarithmic, and trigonometric), probability, series and sequence, conic sections, and an introduction to limits and derivatives. Honors students enjoy a faster-paced experience and participate in extension activities and challenge problems.

### AP Statistics (Grade 11 or 12)

Semesters: two

Prerequisite: Precalculus or Precalculus—Honors

See qualifications for advanced/AP courses.

AP Statistics is an introductory, non-calculus based, college-level statistics course that emphasizes understanding and analyzing statistical studies. Students explore the theory of probability, descriptions of statistical measurements, probability distributions, experimental design and statistical inference. Students analyze samples to better understand populations as well as claims made about populations, developing the skills necessary to be insightful, critical consumers of data. Graphing calculators are used throughout the course. All students enrolled in this course must take the AP exam in May.

### AP Calculus AB (Grade 11 or 12)

Semesters: two

Prerequisite: Precalculus or Precalculus – Honors

See qualifications for advanced/AP courses.

AP Calculus AB is a college-level calculus course that is generally equivalent to a first-semester college course. The AP calculus program is geared toward the development of the students’ understanding of calculus concepts in addition to providing experience with its methods and applications. Students are expected to approach the material graphically, numerically, analytically, and verbally, fostering flexibility in thought and developing agile problem-solving methods. Topics covered include: differentiation and integration of polynomial, trigonometric, and exponential functions. Calculators and computers are used to increase and strengthen the core calculus capabilities of the students. All students enrolled in this course must take the AP exam in May.

### AP Calculus BC (Grade 11 or 12)

Semesters: two

Prerequisite: AP Calculus AB

See qualifications for advanced/AP courses.

AP Calculus BC is a college-level calculus course that is generally equivalent to the first two semesters of the college calculus sequence. The AP calculus program is geared toward the development of the students’ understanding of calculus concepts in addition to providing experience with its methods and applications. Students are expected to approach the material graphically, numerically, analytically, and verbally, fostering flexibility in thought and developing agile problem-solving methods. Topics covered include all of the Calculus AB topics, as well as additional topics such as series and polar coordinates. Calculators and computers are used to increase and strengthen the core calculus capabilities of the students. All students enrolled in this course must take the AP exam in May.

### Multivariable Calculus (Grade 12)

Semesters: two

Prerequisite: AP Calculus BC

See qualifications for advanced/AP courses.

Multivariable Calculus is a college-level calculus course that is generally equivalent to the third semester of the college calculus sequence or Calculus III. Students are expected to approach the material graphically, numerically, analytically, and verbally, fostering flexibility in thought and developing agile problem-solving methods. Topics covered include a review of conic sections, vectors, vector-valued functions, functions of several variables including partial derivatives, multiple integration, and vector analysis.