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Mathematics

 

"For the things of this world cannot be made known without a knowledge of mathematics. “
          – Roger Bacon, philosopher

Bacon also said that, “mathematics is the gate and key to the sciences.”  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: Mr. Aaron Thompson, athompson@sgis.org

Math 6 - Accelerated

Trimesters: three                                   

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, 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. Students will also experience a math project that allows students to actively learn about every day living and the costs and responsibilities that come with life.  Finally, students continue to sharpen and hone their math skills through drill and practice, mental math exercises, and critical thinking activities.

Math 6 - Honors

Trimesters: three                                   

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, 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. Students will also experience a math project that allows students to actively learn about every day living and the costs and responsibilities that come with life.  Finally, students continue to sharpen and hone their math skills through drill and practice, mental math exercises, and critical thinking activities. Students in Math 6—Honors delve deeper into topics than students in Math 6 through examining more applications and critical thinking exercises at a much faster pace.

Math and English Enrichment (Grade 6)

Trimesters: three                                   

This course is comprised of three trimesters, and each trimester has a different focus. The first trimester consists of math problem solving, while the second and third trimesters focus on research paper writing and reading comprehension. During the fall trimester, students will learn specific strategies for solving math problems that require higher-order thinking. During the winter, students will review and expand their research skills while writing an extensive research paper on a topic approved by the instructor. The final trimester consists of students reading, analyzing, and writing about classic short stories, while honing their reading comprehension skills. Note: Same as course appearing in English section.

Pre-Algebra 7 - Accelerated

Trimesters: three                                   

Pre-Algebra 7 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 fractions, percents, mathematical operations, equations, probabilities, and algebraic expressions.

Pre-Algebra 7 - Honors

Trimesters: three                                   

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 fractions, percents, mathematical operations, equations, probabilities, and algebraic expressions.

Algebra I - Accelerated (Grade 8 or 9)

Trimesters: three                                   

Prerequisite: Pre-Algebra

In Accelerated Algebra I, students develop their knowledge of the real number system 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, factor polynomials, plus many additional topics that encourage and promote logical and critical thinking. During Algebra I, students begin learning how to use graphing calculators.

Algebra I - Honors (Grade 7 or 8)

Trimesters: three                                   

Prerequisite: Pre-Algebra Honors or Teacher Recommendation

See qualifications for advanced/AP courses.

In Honors Algebra I, students develop their knowledge of the real number system 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, factor polynomials, plus many additional topics that encourage and promote logical and critical thinking. During Honors Algebra I, students begin learning how to use graphing calculators. Students in Honors Algebra I delve deeper and cover topics more rapidly than students in Accelerated Algebra I.

Geometry (Grade 9 or 10)

Trimesters: three                                   

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 list the properties of circles, polygons, and right triangles. 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)

Trimesters: three                                   

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 list the properties of circles, polygons, and right triangles. 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. 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)

Trimesters: three                                   

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, conics, 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)

Trimesters: three                                   

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 will introduce 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 will solve problems both algebraically and graphically using pencil and paper as well as a graphing calculator. Students will be asked to think beyond calculations and contemplate the roots and the derivations of the topics. Honors Algebra II is a preparatory course for PreCalculus, Advanced Algebra and Trigonometry, Statistics, and Calculus. To that end, this course covers a variety of topics such as linear and nonlinear functions, relations and systems; exponents and logarithms; conics; rational functions; radical functions. Problem solving strategies as well as how concepts are applied will be emphasized throughout the course.

Advanced Algebra and Trigonometry (Grade 11 or 12)

Trimesters: three                                   

Prerequisite: Algebra II

This course is designed to strengthen students’ understanding of concepts taught in Algebra II. Students will focus on a deeper study of functions—analyzing equations, graphs and real-world applications—and the introduction of trigonometry topics needed in advanced mathematics courses. Students will collaborate to construct and share knowledge, building their confidence in mathematics and preparing them for courses in high school and College Algebra or Precalculus at the college level.

Precalculus (Grade 11 or 12)

Trimesters: three                                   

Prerequisite: Algebra II, Algebra II – Honors, or Advanced Algebra and Trigonometry

This is a functions-based course that both reinforces and broadens concepts taught in Algebra II, and introduces new concepts, preparing students for calculus. 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), trigonometry, matrices, series & sequence, analytic geometry and introductory calculus.

Precalculus – Honors (Grade 10 or 11)

Trimesters: three                                   

Prerequisite: Algebra II or Algebra II – Honors

See qualifications for advanced/AP courses.

This is a functions-based course that both reinforces and broadens concepts taught in Algebra II, and introduces new concepts, preparing the students for AP Calculus BC. 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), trigonometry, series & sequence, limits and derivatives. Students should expect more independent work and a faster-paced experience.

Advanced Topics in Calculus and Discrete Math (Grade 11 or 12)

Trimesters: three                                   

Prerequisite: Precalculus

This course is divided into three sections, calculus, discrete topics, and statistics. Students will experience the concepts of derivatives and integration through applications in calculus. Discrete mathematics is an umbrella of mathematical topics. Topics include game theory and social theory, which use math to discuss human behavior and its effects. The third component, statistics, will be 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.

AP Statistics (Grade 11 or 12)

Trimesters: three                                   

Prerequisite: Precalculus or Precalculus—Honors

See qualifications for advanced/AP courses.

AP Statistics is an introductory, non-calculus based college statistics course that emphasizes understanding and analyzing statistical studies. Students will explore the theory of probability, descriptions of statistical measurements, probability distributions, experimental design and statistical inference. Students will be analyzing samples and understanding populations on an ongoing basis. 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)

Trimesters: three                                   

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 the calculus concepts in addition to providing experience with its methods and applications. Students are expected to approach the material graphically, numerically, analytically, and verbally. Topics covered include: differentiation and integration of polynomial, trigonometric, and exponential functions. Calculators and computers are used to increase and strengthen the students’ understanding of the concepts. All students enrolled in this course must take the AP exam in May.

AP Calculus BC (Grade 11 or 12)

Trimesters: three                                   

Prerequisite: Precalculus – Honors or 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 the calculus concepts in addition to providing experience with its methods and applications. Students are expected to approach the material graphically, numerically, analytically, and verbally. 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 students’ understanding of the concepts. All students enrolled in this course must take the AP exam in May.

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