The mission of the 数学 Department at 帕尔玛学校 is to strengthen students’ backgrounds with a math education that is essential for progressive and continuing development throughout their academic and professional careers. 重点放在实现智力训练上, 推理能力, 理解数学概念, skill in practical applications of mathematics 以及对 the role of mathematics in daily life. The goal is to instill in each student a problem-solving mindset resulting in a student who knows how to think and reason.
数学6
前提条件:六年级成绩
学分:10
这 class is a foundational class to help students build their understanding and fluency with basic math computational 技能. 将涵盖的主题包括正整数运算, 分数和小数, 以及对测量的介绍, 比率, 百分比, 基本几何, areas and applications to real world problems.
数学7
前提条件:七年级成绩
学分:10
本课程旨在帮助学生继续发展他们的数字感, 计算技能和运用这些知识解决问题的能力. 所涉及的主题包括整数, 小数, 分数, 百分比, 图, 测量, 比例与比例, 消费者的数学, 基本几何概念, 面积和体积, 概率 and introduction to Algebra. 顺利完成本课程后，学生可升读预代数或高级代数, 班级平均成绩为A，并得到老师的认可, 到代数I.
算术
先决条件: Successful completion of 数学7 and/or results of Palma’s entrance exam and/or recommendation of current Math instructor
学分:10
本课程的重点是为第一年的代数课程做一个渐进而彻底的准备. 所涉及的主题是:指数, 整数, 因素, 比率, 图形, 面积和体积, 平方根和应用题. Students will learn to solve degree one level equations and inequalities and also study properties of real numbers.
代数我
先决条件: Successful completion of 算术 and/or results of Palma’s entrance exam and/or recommendation of current Math instructor
学分:10 b| UC/CSU: C
这 course covers the following concepts: variables, 指数, 线性方程, 多项式, 应用题, 保理, 代数分数, 有理数和无理数, radical expressions and quadratic equations. Students will also study properties of real numbers, 科学记数法, 统计数据, 和概率.
代数I
先决条件: “A” grade aver年龄 in 数学7 or in 算术 and/or results of Palma’s entrance exam and/or approval of current Math instructor
学分:10 b| UC/CSU: C
本课程更深入地涵盖了代数I中的所有主题. 除了 to the topics listed in 代数我, this Honors course includes linear regression, 图形 functions through 转换, 以及二次函数和指数函数的图解. It is designed for a student who plans to continue in advanced mathematics or a concentration in science. 学生还将学习实数、统计学和概率论的性质. Students may participate in math competitions.
几何
前提条件:代数I
学分:10 b| UC/CSU: C
本课程培养个人的观察能力, 在数学术语系统中以逻辑的方式进行分析和推理, 公设和定理. 它涵盖了传统的主题:演绎推理和形式证明, 平行线和平行四边形, 全等相似三角形, 圈, 结构, 坐标, 直角三角形, 面积和体积. Algebra 技能 are reviewed and strengthened through problems that integrate algebraic and geometric concepts.
几何的荣誉
先决条件: “B” grade aver年龄 in 代数I or an “A” grade aver年龄 in 代数我 and approval of the Math instructor
学分:10 b| UC/CSU: C
这 course covers all the topics included in 几何 plus 结构; however, 更深入地讨论了主题. It is designed for a student who plans to continue in advanced mathematics or a concentration in science.
Advanced Algebra With Financial Applications
前提条件:成功完成代数I，几何和当前数学讲师的批准
学分:10 b| UC/CSU: C
金融代数是一门以代数为基础的数学建模课程, applications-oriented, 和技术. 本课程从高等代数开始介绍大学预科数学主题, 统计数据, 概率, 有关微积分的知识, 和微积分在七个金融伞下:银行业, 投资, 信贷, 就业和所得税, 汽车所有权, 独立生活, and Retirement Planning and Household Budgeting. 本课程让学生体验数学主题之间的相互关系, 找到模式, 做出推测, 从已知的情况推断到未知的情况.
代数2 /三角
先决条件: Successful completion of both 代数我 and 几何; score on 代数我I readiness exam in spring of current school year; approval of current Math instructor
学分:10 b| UC/CSU: C
代数2 /三角 helps students further develop their understanding of algebraic concepts and 技能. 学生将探索坐标和函数的用法, 数据分析, 转换, 几何坐标, 圆锥部分, 方程和不等式的系统, 正变分和逆变分, 指数函数, quadratic functions and complex numbers, 多项式和有理函数, 序列与级数, 三角函数和比值.
代数II/三角学
先决条件: “B” grade aver年龄 in 代数I and 几何的荣誉 or an “A” grade aver年龄 in 代数我 and 几何; score on 代数我I readiness exam in spring of current school year; approval of current Math instructor
学分:10 b| UC/CSU: C
代数我I has as its primary goal the achievement of student success by helping students further develop their understanding of algebraic concepts and 技能. 学生将探索坐标和函数的用法, 数据分析, 转换, 几何坐标, 圆锥部分, 方程和不等式的系统, 统计数据, 概率, 正变分和逆变分, 指数函数, quadratic functions and complex numbers, 多项式和有理函数, 序列与级数, 三角函数和比值.
有关微积分的知识
先决条件: “B” grade aver年龄 in 代数2 /三角 and approval of current Math instructor
学分:10 b| UC/CSU: C
这 course is designed to give the student a solid background for college Calculus by cementing together the topics taught in Algebra, 几何 and Trigonometry in greater depth. The new topics covered are: polar 坐标, sequence and series, vectors, limits and derivatives.
有关微积分的荣誉
Prerequsite: “B” grade aver年龄 in 代数II/三角学 or an “A” grade aver年龄 in 代数2 /三角 and approval of current Math instructor
学分:10 b| UC/CSU: C
这 course covers all topics included in 有关微积分的知识; however, 更深入地讨论了主题. 它是为希望把微积分作为下一门数学课的学生设计的.
据美联社统计
前提条件:“B”在预微积分平均成绩和目前的数学讲师的批准
学分:10 b| UC/CSU: C
AP统计学课程向学生介绍收集的主要概念和工具, 分析, 从数据中得出结论. There are four themes evident in the content, 技能, 和AP统计学课程的评估:探索数据, 抽样和实验, 概率与模拟, 统计推断. 学生使用科技, 调查, 解决问题, and 写作 as they build conceptual understanding.
AP微积分AB
前提条件:“B”级在微积分预科荣誉和当前数学讲师的批准最低
学分:10 b| UC/CSU: C
本课程旨在帮助学生准备AP微积分AB考试. The exam is a requirement of the course. 涵盖的主题是:极限、导数和积分，所有这些都在本级别的AP框架内.
AP微积分BC
先决条件: Minimum of “B” grade aver年龄 in AP微积分AB and approval of the AP微积分AB instructor
学分:10 b| UC/CSU: C
学生将准备参加BC大学预修考试. The exam is a requirement of the course. 涵盖的主题:极限的正式定义，弧长，分部积分，三角替换 & 部分分式、数列 & 级数，麦克劳林和泰勒级数，参数方程，极坐标. Course offered pending sufficient requests.
体育统计推理
先决条件: Completion of Advanced Algebra or 代数2 /三角 and approval of current Math instructor
学分:10 b| UC/CSU: C
这 course teaches students how to use four-steps of the statistical process in the 上下文 of sports: ask questions, 收集数据, 分析数据, 并得出结论. 每章将以一个与体育相关的统计问题(e.g., Is there a home field advant年龄 in the NFL?)，然后学生将学习如何收集适当的数据, 如何分析数据, 以及如何得出合理的结论. 虽然例子和练习的背景将与体育相关, the primary focus of the class will be to teach students the basic 原则 of statistical reasoning. 技术的使用, 包括在线小程序和图形计算器将在课程中突出. 学生如果成绩达到“B”或更高，就可以进入AP统计课程.
