数学系
数学系分班政策
根据学生在中学学习的课程、HSPT(高中分班考试)成绩和我们的*SM数学分班考试成绩,学生被安排在一个数学班,具体如下:
- 如果学生在中学没有完成一整年的高中等效代数1课程,成绩为B或更高,则学生将被安排在代数1。学生不需要参加SM数学分班考试。所有其他学生必须参加SM数学分班考试。
- 如果学生在中学完成了一整年的高中等效代数1课程,成绩为B或更好,那么根据学生在SM数学分班考试中的表现,他们将被安排在代数1或代数2班。
课程
辅助研究
代数1 AUX (c) UC认证,NCAA认证本课程旨在培养处理实数和多项式的技能。学生学习评估公式,解决一次和二次方程和不等式,解决方程组,以及额外的代数主题,鼓励他们练习和提高逻辑思维过程。课程长度:一年开放到年级:9先决条件:大一学生必须参加辅助学生计划,并根据SMCHS入学考试的数学和定量部分以及SM数学分班考试。2190A代数2 AUX (c) UC批准,NCAA批准本课程将为学生准备大学,加深他们的理解,提高他们在代数1中学到的代数概念的工作技能。这将包括函数和关系的介绍,以及线性、二次、指数和对数函数的绘图。课程长度:一年开放到年级:10先决条件:学生必须在辅助研究计划,并已成功完成代数1 Aux. 2308A几何A (c) UC批准,NCAA批准本课程是专为学生谁需要一个缓慢的节奏,更详细的几何主题介绍。这是几何学两部分系列课程的第一节。与几何B一起,本课程相当于一年的学分。学生将参与动手活动,这将使他们能够发现几何概念,并使用Geometer的Sketchpad,这是一个支持课程的计算机软件程序。几何概念的实际沙巴体育将贯穿整个课程,代数概念将贯穿整个课程,使这些概念得到强化和沙巴体育。课程长度:一年开放年级:10,11先决条件:完成代数1。注意:学生必须在辅助研究计划,以符合本课程的资格。几何A和几何B一起满足UC系统的“C”要求。2309A几何B (C) UC批准,NCAA批准这是两年制几何课程中的第二门课程。它是为那些希望以较慢的速度学习几何更有效的学生开发的。加上前一年的几何A,完成了高中几何的综合课程。课程长度:一年对年级开放:11,12先决条件:完成几何A并达到C或更高。注意:学生必须在辅助研究计划,以符合本课程的资格。几何A和几何B一起满足UC系统的“C”要求。
学术
2110A ALGEBRA 1
(c) UC Approved, NCAA Approved
This course is designed to develop skills in working with real numbers and polynomials. Students learn to evaluate formulas, to solve first and second degree equations and inequalities, to solve systems of equations, plus additional algebra topics that encourage them to practice and improve logical thought processes.
Length of Course: Year
Open to Grade: 9
Prerequisites: Placement of freshmen is based on the mathematics and quantitative sections of the SMCHS Entrance Examination as well as the SM Math Placement Exam
2200A ALGEBRA 2
(c) UC Approved, NCAA Approved
This course will prepare students for college, deepen their understanding and increase their skills in working with algebraic concepts learned in Algebra 1. This will include the introduction and in-depth study of functions and relations and graphing of linear, quadratic, exponential and logarithmic functions. A proficiency in solving word problems will also be stressed.
Length of Course: Year
Open to Grades: 9, 10
Prerequisites: Completion of Algebra 1. Incoming Freshmen who have met the Algebra 2 benchmark on the SM Math Placement Exam will be placed in this course.
2310A GEOMETRY
(c) UC Approved, NCAA Approved
The purpose of Geometry is to enable students to think logically and to express seemingly complex ideas precisely through problem solving as well as formal proofs. Geometry also encourages the development of imagination, creativity and skills of observation and space perception while continuing to reinforce Algebra skills. Practical applications of geometric concepts are presented and emphasized throughout the course.
Length of Course: Year
Open to Grades: 10, 11
Prerequisites: Completion of Algebra 2.
2400A PRECALCULUS
(c) UC Approved, NCAA Approved
This course is designed to follow Geometry in preparing the student to study Calculus. The topics covered will include functions, trigonometric functions and analysis, linear systems and conic sections. At the end of this course, the students will have the skills necessary to enter a college level Calculus course.
Length of Course: Year
Open to Grades: 11,12
Prerequisites: Completion of Algebra 2 and Geometry with a B or higher.
2700A CALCULUS
(c) UC Approved, NCAA Approved
This is a year long course that covers the elements of beginning college calculus. The course covers limits, derivatives, definite integrals of algebraic and transcendental functions, and the application of derivatives and integrals. Techniques of integration and integrals may also be covered. This course does not follow the curriculum needed to take the Advanced Placement Exam in Calculus. This course is ideal for students who would like an introduction to Calculus for college preparation, but do not desire the rigor or pace of the Advanced Placement Course.
Length of Course: Year
Open to Grades: 10, 11, 12
Prerequisites: Completion of PreCalculus
2811A FINANCIAL ALGEBRA
(c) UC Approved, NCAA Approved
This is a year long course designed for the student who needs to refresh their knowledge of Algebra and Geometry in preparation for college level math courses. It is a comprehensive study of these subjects using application and math modeling. Students are more apt to understand and master mathematical concepts when they can associate those concepts with real life experiences and applications.
Length of Course: Year
Open to Grades: 11, 12
Prerequisites: Completion of Algebra 1, Algebra 2, and Geometry.
2810AS PROBABILITY AND STATISTICS
Paired with Trigonometry
(c) UC Approved, NCAA Approved
This semester long course is designed to enhance statistical literacy by introducing the science of statistics, providing instruction in probability, creating a bridge between probability as an underpinning science and applied inferential statistics and providing students with practical techniques for hypothesis testing. This semester course must be taken in conjunction with the semester course Trigonometry or Financial Algebra.
Length of Course: Semester
Open to Grades: 11, 12
Prerequisites: Completion of Algebra 2 and Geometry.
4922A ACCOUNTING AND FINANCE
(g) UC Approved
Accounting and Finance is a full year course offered to primarily junior and seniors who might be considering majoring in business in college and/or interested in pursuing business interests. It is also designed to help young adults with the personal financial issues they might be facing after high school. Basic financial themes will be explored with an introduction to elementary accounting concepts to help students understand financial statements and decisions. The course will employ real world examples, simplified case studies, and a discussion and analysis approach. Also included will be activities and conversations on business ethics and current events related to the course.
Length of Course: Year
Open to Grades: 11, 12
2600A STATISTICS
(c) UC Approved, NCAA Approved
This math course is a full year of statistics, including applications to probability. The major themes of this course are exploratory analysis, questioning techniques and types of measurement, probability (used for anticipating how the data should appear), and statistical inference.
Length of Course: Year
Open to Grade: 12
Prerequisite: Completion of Algebra 2 and Geometry.
荣誉
2110C代数1荣誉(c) UC批准,NCAA批准这个加速课程涵盖了更深入的代数1主题,包括许多额外的主题。这使得那些能够应对加速节奏挑战的学生能够更好地为高等科学和数学课程做好准备。课程长度:一年开放到年级:9先决条件:见新生安排政策。2200C代数2荣誉(c) UC批准,NCAA批准这门加速课程涵盖了更深入的代数2的概念,并涉及更高阶的批判性思维技能。重点放在理解数学的概念,其结构和过程。鼓励在数学领域表现优异并计划在数学或科学相关领域进一步学习的学生参加本课程。本课程包括IB课程的一部分概念。课程长度:一年对成绩开放:9,10先决条件:完成Algebra1或即将入学的新生,他们在SM数学入学考试中达到代数2荣誉基准,并且在SMCHS入学考试的数学和定量部分的最低分数为1235。*注意:从学术课程转到荣誉课程需要两个学期都达到“A”,并且在5月份的分班考试中获得及格分数。2310C几何荣誉课程(c) UC批准,NCAA批准几何荣誉课程的目的是超越常规课程中呈现的基础材料,为优秀的数学学生提供足够的挑战。基本的术语、原理、属性和概念以更大的深度呈现。学生特别注意有组织的、合理的和创造性的形式证明的逻辑发展。本课程包括IB课程的一部分概念。课程长度:一年对年级开放:10,11先决条件:完成代数2。*注意:要从学术课程转到荣誉课程,需要两个学期都达到“A”,并在5月份的分班考试中获得及格分数。2400C PRECALCULUS Honors (c) UC批准,NCAA批准此加速课程以更快的速度和更深入的方式涵盖了PRECALCULUS的主题,还包括额外的材料。它的目的是给学生一个坚实的微积分基础,获得对数学作为一门逻辑科学的欣赏,并通过许多不同学科的各种沙巴体育问题来展示这门学科的有用性。成功完成本课程后,学生将准备在高中或大学阶段学习微积分。这门课程也为二年级学生准备数学HL IB课程。课程长度:一年对年级开放:10,11,12先决条件:完成代数2荣誉和几何荣誉。*注意:从学术班转到荣誉班需要两个学期都达到“A”,并且在5月份的分班考试中取得及格分数。
先修课程(ap)
AP微积分AB (c) UC批准,NCAA批准本大学先修课程涵盖了大学理事会发布的整个“AB”教学大纲,专为准备在高中学习大学水平的学生设计。试图在微积分的理论、技术和沙巴体育之间取得平衡。微积分AB主要关注对微积分概念的“直观”理解以及对其方法和沙巴体育的体验。完成本课程后,学生将为微积分AB考试做好充分准备。这次考试的成功将可能使他们获得适当的学分,并在他们将要参加的大学中获得一席之地。大多数学院和大学的惯例政策是,在完成AP微积分AB考试的合格成绩后,给予学生一个学期的大学数学学分,并将学生安排到第二学期的微积分课程。课程长度:一年对年级开放:11、12先决条件:完成微积分预科荣誉*注意:从学术课程转到荣誉课程需要两个学期都达到“A”,并在5月的分班考试中获得及格分数。2710E AP CALCULUS BC (c) UC批准,NCAA批准这门大学先修课程是一门为期一年的单变量函数微积分强化课程。除了微积分AB所涵盖的主题外,微积分BC课程还包括美国大学理事会发布的“BC”教学大纲中列出的所有额外主题。完成本课程后,学生将为微积分BC考试做好充分准备。这次考试的成功将可能使他们获得适当的学分,并在他们将要参加的大学中获得一席之地。大多数学院和大学的惯例政策是,在完成AP微积分BC考试的合格成绩后,给予学生一年的大学数学学分,并将学生安排到第三学期的微积分课程。当然长度:开放等级:11、12个先决条件:完成数学微积分荣誉或AA IB SL 95%或更好*注意:从学术荣誉类需要一个“a”两个学期考试&位置上的合格分数。2600 e AP统计(c)加州大学批准,批准NCAA跳级课程统计的目的是向学生介绍的主要概念和工具收集、分析并从数据得出结论。学生接触到四个广泛的概念主题:1。探索数据:观察模式和偏离模式2。计划一项研究:决定测量什么和如何测量提前预测模式:使用概率和模拟生成模型成功完成本课程和大学先修课程考试的学生可以获得学分和/或先修一学期的大学统计入门课程。课程长度:一年对年级开放:12先决条件:完成微积分预科荣誉。*注意:从学术班转到荣誉班需要两个学期都达到“A”,并且在5月份的分班考试中取得及格分数。
国际学士学位
2402C PRECALCULUS H AI IB
(c) UC Approved
This course is designed to follow Geometry or Geometry H. It is the first year in a 2 year sequence culminating in either Math SL AI or Math HL AI, depending on the performance in year 1. The topics covered will include algebraic, rational and exponential functions, trigonometric functions and analysis, linear systems, sequences and series, polar graphs, statistics, and calculus. At the end of this course, the students will have the skills necessary to enter a college level Calculus course. This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modelling. The course makes extensive use of technology to allow students to explore and construct mathematical models.
Length of Course: Year
Open to Grades: 11, 12
Prerequisites: Completion of Geometry
*Note: To move from Academic to Honors classes requires an “A” both semesters & a passing score on the placement exam in May.
2720F MATHEMATICS AA IB SL
(c) UC Approved
This course is a Prerequisite for those students interested in taking the Mathematics SL exam. The course includes Precalculus topics such as Functions and Equations, Circular Functions and Trigonometry, Matrices, and Vectors. Probability and Statistics concepts including Probability Distributions will also be part of the course. The third quarter of this course includes Calculus topics such as Limits, Derivatives, Curve Properties, Optimization Applications, Integrals, Area, Volume and Kinematics. Students will also complete a mathematical exploration which is a project-oriented assessment and will comprise 20% of their IB grade.
Length of Course: Year
Open to Grades: 11, 12
Prerequisites: Completion of Algebra 2 Honors and Geometry *Note: To move from Academic to Honors classes requires an “A” both semesters & a passing score on the placement exam in May.
2711F MATH AA IB HL1
(c) UC Approved, NCAA Approved
This Advanced Placement course is an intensive year long course in the Calculus of functions of a single variable. In addition to the topics covered in Calculus AB, the Calculus BC course includes all additional topics listed in the “BC” syllabus published by The College Board. Upon completion of this course, the student will be adequately prepared for the Calculus BC examination. Success on this examination will possibly enable them to receive appropriate credit and placement at the college they will attend. The customary policy of most colleges and universities is, upon completion of a passing grade on the AP Calculus BC examination, to give a year of college math credit and place the student into a third semester Calculus course.
Length of Course: Year
Open to Grades: 11, 12
Prerequisites: Completion of Precalculus Honors or Mathematics AA IB SL with a 95% or better.
*Note: To move from Academic to Honors classes requires an “A” both semesters & a passing score on the placement exam in May.
MATH AI IB HL1
(c) UC Approved
This course is designed to follow Geometry or Geometry H. It is the first year in a 2 year sequence culminating in either Math SL AI or Math HL AI, depending on the performance in year 1. The topics covered will include algebraic, rational and exponential functions, trigonometric functions and analysis, linear systems, sequences and series, polar graphs, statistics, and calculus. At the end of this course, the students will have the skills necessary to enter a college level Calculus course. This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modelling. The course makes extensive use of technology to allow students to explore and construct mathematical models. Length of Course: Year
Open to Grades: 11, 12
Prerequisites: Completion of Geometry
*Note: To move from Academic to Honors classes requires an “A” both semesters & a passing score on the placement exam in May.
2721F MATHEMATICS AA IB HL 2
(c) UC Approved
This course is the second year of a two-year prerequisite for those students interested in taking the Mathematics AA HL IB exam. The course includes Extensive Probability and Statistics concepts which will include Bayes’ Theorem, Expected Value, Probability Distributions such as the Poisson Distributions. Precalculus extended topics will include Mathematical Induction, Complex Numbers, DeMoivre’s Theorem, and Vectors in ThreeDimensions. Homogeneous differential equations and the integrating factor will also be considered. Students will also complete portfolio assignments which are project-oriented assessments and comprise 20% of their IB grade.
Length of Course: Year
Open to Grade: 12
Prerequisites: Completion of AP Calculus BC or Mathematics HL 1 IB and concurrent enrollment or completion of AP Statistics if interested in Statistics option.
*Note: To move from Academic to Honors classes requires an “A” both semesters & a passing score on the placement exam in May.
2722F MATH AI IB HL 2
(c) UC Approved
This class emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modelling. To give this understanding a firm base, this course also includes topics that are traditionally part of a preuniversity mathematics course such as calculus and statistics. The course makes extensive use of technology to allow students to explore and construct mathematical models. Mathematics: applications and interpretation will develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures.
Length of Course: Year
Open to Grade: 12
Prerequisites: Completion of Precal H AI IB
编程
6113A网络安全(g) UC认可的网络安全为学生在高等教育信息技术专业取得成功,以及在网络管理和信息技术支持服务方面的职业生涯做好准备,重点是网络安全。本课程包括一系列技术模块,提供动手学习以及计算机硬件、操作系统、网络、编码和安全基础设施方面的知识和技能发展。基于行业的课程在网络和虚拟图像环境中被利用来模拟现实生活场景,并为学生准备行业认可的认证。学生研究和解决与信息安全相关的道德和法律标准。学生通过需要批判性思维、事件响应和分析以及协作的复杂问题解决方案来缓解网络漏洞。将介绍道德黑客和渗透测试的概念,重点是信息安全研究。学生将被要求使用网络扫描器,网络数据包捕获,网络安全和审计工具来完成任务。网络安全课程旨在为准备网络安全和信息与通信技术专业和职业的学生确保对信息系统的隐私,可靠性和完整性的深刻理解。课程长度:一年对年级开放:9,10,11,12 6110A入门程序设计(g) UC批准使用Java进行程序设计的第一门课程,介绍和培养初步的程序设计技能。结构化编程将通过适当的控制流和简单的数据类型来强调。解决问题,批判性思维和逻辑思维能力是必不可少的,将在课堂上发展。本课程还涵盖了各种计算机伦理和当前的技术趋势。课程长度:一年开放年级:9,10,11,12先决条件:同时注册代数2。AP计算机科学A (g)是一门计算机科学的入门课程。由于解决问题的计算机程序的设计和实现涉及计算机科学研究的基本技能,因此课程的很大一部分是围绕正确解决给定问题的计算机程序的开发而建立的。这些程序应该是可理解的、可适应的,并且在适当的时候可以重用。同时,计算机程序的设计和实现被用作介绍计算机科学其他重要方面的背景,包括算法的开发和分析,基本数据结构的开发和使用,标准算法和典型沙巴体育的研究,以及逻辑和形式化方法的使用。此外,负责任地使用这些系统是课程的一个组成部分。课程长度:一年开放年级:10,11,12先决条件:教师同意。*注意:从学术班转到荣誉班需要两个学期都达到“A”,并且在5月份的分班考试中取得及格分数。