**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.

### Pre-Algebra 7 - Accelerated

Semesters: two

Accelerated Pre-Algebra prepares students for Algebra I and Geometry. Integers and algebraic concepts are applied 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. Visualization continues with consistent modeling of algebra expressions, percent, problem solving, and linear equations and inequalities. During Pre-Algebra, students begin learning how to use graphing calculators.

### Pre-Algebra 7 - Honors

Semesters: two

Placement Criteria: Math MAP score ≥ 85th percentile, Math 6 average ≥ 90 or Math 6 - Honors average ≥ 80, teacher recommendation

Honors Pre-Algebra prepares students for Algebra I and Geometry at a faster pace and in more depth. Integers and algebraic concepts are applied 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. Visualization continues with consistent modeling of algebra expressions, percent, problem solving, linear equations and inequalities, and functions. During Honors Pre-Algebra, students begin learning how to use graphing calculators.

### Math 8

Semesters: two

Prerequisite: BY PLACEMENT ONLY

The focus of this course is building a strong foundation necessary for success in the study of algebra. It includes a disciplined study of real numbers and their properties, algebraic expressions, solving and graphing linear equations and inequalities, understanding functions, and laws of exponents. Geometry units will cover transformations, angles, triangles, and formulas for three dimensional figures. Data analysis work includes scatter plots, lines of best fit, and two-way tables. During Math 8, students continue learning how to use their graphing calculators.

### Algebra I - Accelerated (Grade 8)

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. *This course will appear on St. George’s transcripts but will not count toward the upper school GPA.

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

Semesters: two

*Placement Criteria:*

Grade 7: Math MAP score ≥ 95th percentile, Math 6 - Honors average ≥ 90, prerequisite skills score ≥ 80, and teacher recommendation

Grade 8: Math MAP score ≥ 85th percentile, Pre-Algebra Accelerated average ≥ 90 or Pre-Algebra - Honors average ≥ 80, teacher recommendation

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 solve 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. *This course will appear on St. George’s transcripts but will not count toward the upper school GPA.

### Geometry – Honors (Grade 8 or 9)

Semesters: two

Placement Criteria: Math MAP score ≥ 85th percentile, Algebra Accelerated average ≥ 90 or Algebra - Honors average ≥ 80 and teacher recommendation

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. *For grade 8, this course will appear on St. George’s transcripts but will not count toward the upper school GPA.

### Algebra I (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.

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

Semesters: two

Placement Criteria: Geometry average ≥ 90 or Geometry - Honors average ≥ 80, and teacher recommendation

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.

### 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.

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

Semesters: two

Placement Criteria: Algebra II average ≥ 90 or Algebra II - Honors average ≥ 80 and Algebra II semester exams ≥ 80 or teacher recommendation

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. Honors students enjoy a faster-paced experience and participate in extension activities and challenge problems.

### Precalculus (Grade 11 or 12)

Semesters: two

Placement Criteria: Applied Math average ≥ 90 or Algebra II average ≥ 80 and teacher recommendation

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.

### Introduction to Statistics (Grade 11 or 12)

Semesters: one (Spring)

Prerequisite: Precalculus or Precalculus – Honors

Statistics topics covered will include effectively displaying and describing data, correlation and regression, probability theory, and probability distributions. Students will connect their emerging statistical knowledge with how data is represented and statistics are used in the world around them.

### Introduction to Calculus (Grade 11 or 12)

Semesters: one (Fall)

Prerequisite: Precalculus or Precalculus – Honors

Introduction to Calculus will reinforce the essential prerequisite information for a college-level Calculus I course. Topics covered include limits and continuity, derivatives, particle motion, optimization, and an introduction to integration. This course serves as an introduction to calculus and is designed to help students succeed in a college level Calculus I course.

### AP Statistics (Grade 11 or 12)

Semesters: two

Placement Criteria: Precalculus average ≥ 80 and teacher recommendation

*See qualifications for 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

Placement Criteria: Precalculus average ≥ 90 or Precalculus - Honors average ≥ 85 and teacher recommendation

See qualifications for 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 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 review of all of the Calculus AB topics as well as additional integration techniques, calculus with series, and the calculus of polar 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.

### Exploring Math Mysteries (Grade 11-12)

Semesters: one (Spring)

** Course does not count toward math requirement; ELECTIVE only.

Isaac Newton once said, "If I have seen further it is by standing on the shoulders of giants." In this course, we will explore the development of mathematics and the contributions made by a multitude of individuals and cultures, including Egypt, Babylon, Greece, and Arabia. Students will learn Euclidean constructions and problem solving techniques developed without calculators. Students will gain an understanding of some of the mysteries of math: pi, e, phi, fractals, and prime numbers. A semester project requiring research and presentation will be required of all students.

### Advanced Topics in Applied Math (Grade 12)

Semesters: two

Prerequisite: BY PLACEMENT ONLY

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.

### Multivariable Calculus (Grade 12)

Semesters: two

Prerequisite: AP Calculus BC

*See qualifications for 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. Topics covered include a review of conic sections, vectors, vector-valued functions, functions of several variables including partial derivatives, multiple integration, and vector analysis. Students are expected to work independently to develop a deep understanding of the concepts through active engagement.