数学课程描述

数学 & 计算机科学主席:Mr. 多米尼克·盖革

 

代数1
先决条件: This course is required for all freshmen not enrolled in 代数1 or a higher math course.

(9) This course is equivalent to the 1st semester of 代数1. A student enrolled in 代数1 must take 代数1 b in 10th grade. Students must complete 代数1 b to earn the Algebra credit for the CSU and UC systems.

(Meets CSU/UC “c” requirement; NCAA批准)
 
代数1 b
先决条件代数1A及格. A student receiving an A in 代数1 may take this course in 暑期学校.

(10) This course is equivalent to the 2nd semester of 代数1. A student enrolled in 代数1 must take 代数1 b in 10th grade. Students must complete 代数1 b to earn the Algebra credit for the CSU and UC systems.

(Meets CSU/UC “c” requirement; NCAA批准)
 
代数1
先决条件: Combined score of 120 or above on the Quantitative and 数学 sections on the Placement Examination OR a minimum grade of 72 on both parts of Damien’s Algebra I Challenge Exam OR satisfactory completion of the Advanced 数学 Review course during summer school with a recommendation for placement in 代数1 (based on outcome of summer school benchmark assessments).

(9) A comprehensive course in the fundamentals of Algebra. Topics include equations, factoring, fractions, word problems, square roots, and quadratic equations.

(Meets CSU/UC “c” requirement; NCAA批准)
 
荣誉几何
先决条件: Minimum grade of 72 on Parts I and II on Damien’s Algebra I Challenge Exam, a minimum grade of “B” in 代数1 taken during Damien’s 暑期学校, 代数1的两个学期都得A. Those who earn a “C” in 暑期学校 may retake the 代数1 Placement Exam and earn at least a 72 on both parts in order to qualify for 荣誉几何.

(9) This course requires students to master a number of proofs as well as the concepts listed in the 几何 course description. 这门课需要一台科学计算器.

(Meets CSU/UC “c” requirement; NCAA批准)
 
几何
先决条件: “C” OR higher in 代数1 or “C” or higher in 代数1 b.

(10-11) This course entails a consideration of angles, 三角形, 四边形, 和其他多边形, 和黑眼圈, 平面和空间中的平行线, 面积和体积. 这门课需要一台科学计算器.

(Meets CSU/UC “c” requirement; NCAA批准)

代数2
先决条件: “C” or higher in 2nd semester of 几何 and “B” or higher in either semester of 代数1, with neither semester grade being a “D” or “F.”

(9-12) This course is to build upon the mathematical foundation established during first year Algebra and 几何. Topics will include: a comprehensive knowledge of problem solving, 关系与功能, 无理数, 二次关系和方程组. 这门课需要一台科学计算器.

(Meets CSU/UC “c” requirement; NCAA批准)
 
荣誉代数2 /三角
先决条件: Minimum score of 72 on Parts I and II on Damien’s Algebra I Challenge Exam and Damien’s 几何 Challenge Exam OR “B” or better in 荣誉几何 OR an “A” in both 代数1 & 几何.

(9-11) A rigorous combination of intermediate algebra and trigonometry topics which include equations and inequalities, 函数与图形, 多项式和有理函数, 指数函数和对数函数, 方程组, 三角函数 and their applications, 序列和级数. This course requires a programmable graphing calculator.

(Meets CSU/UC “c” requirement; NCAA批准)
 
微积分
先决条件: “B” or higher in both semesters of 代数2 or a “C” in Honors 代数2.

(10-12) This class will expand on the topics covered in 代数2 with the addition of 指数 functions, 对数, 三角函数. This course requires a programmable graphing calculator.

(Meets CSU/UC “c” requirement; NCAA批准)
 
荣誉有关微积分的知识
先决条件: 数学 Teacher Recommendation and either “C” or higher in Honors 代数2 or “A” or higher in both semesters of 代数2.

(11-12) A rigorous pre calculus class which covers algebra of real and complex number systems, 序列与级数, 多项式的性质及应用, 指数, 对数, 还有三角函数, 二维和三维的矢量, 统计与概率论.

(Meets CSU/UC “c” requirement and Honors designation. NCAA批准)
 
数学ematical Reasoning with Connections (MRWC)
先决条件代数2:C或以上

(12) The MRWC is structured to highlight overarching themes in mathematics that are intrinsic to and underlie many topics in the high school curriculum. The themes provide a mechanism for expanding existing content into new, advanced areas in a way that makes explicit the connectedness between old and new topics that might otherwise appear to students to be unrelated. They provide consistent threads that help students grasp why the ‘rules’ are the way they are as well as the constraints under which those ‘rules’ operate. 主题是用数字推理, 用函数推理, Reasoning with Equivalences and Reasoning with Distance. Students successfully completing MRWC will have acquired content skills and attitudes towards learning that will be expected in entry-level college mathematics. The distinctiveness of MRWC lies in its unique design and topic sequencing, and in the emphasis on instructional delivery that promotes exploratory and collaborative student engagement.

(Meets CSU/UC “c” requirement; NCAA批准)
 
进阶微积分AB
先决条件微积分预科荣誉课C或C以上, OR an “A” in both semesters of Honors 代数2 or “B” or better in both semesters of 微积分.

(10-12) This course covers the AB syllabus as prescribed by the College Board. 主题将包括限制, 衍生品及其规则, 微分的应用, 积分及其应用, 微分方程.

(Meets CSU/UC “c” requirement; NCAA批准)
 
进阶微积分BC
先决条件: “B” or better in Calculus AB OR a score of “3” or higher on the 进阶微积分AB exam.

(11-12) This course covers BC syllabus as prescribed by the College Board. 主题将包括限制, 衍生品及其规则, 微分的应用, 积分及其应用, 微分方程, 参数方程和极坐标, 无穷级数, 向量的应用.

(Meets CSU/UC “c” requirement; NCAA批准)
 
大学先修课程统计
先决条件: “C” or higher in Pre-Calculus or Honors 代数2 with Trigonometry. 11th Grade students must be concurrently enrolled in AP Calculus.

(11-12) This is an introductory course on the modern methods of analyzing numerical data as dictated by the 跳级 syllabus. 主题包括频率分布, 集中趋势的度量, 离散度测量, 概率论, 二项分布和正态分布, 假设检验, 线性回归.

(Meets CSU/UC “c” requirement; NCAA批准)
 
微分方程
先决条件: An “A” in 进阶微积分BC and a score of “4” or higher on the 进阶微积分BC exam.

(12) 微分方程作为数学模型, 分析, 定性, and numerical approaches to 微分方程 & 拉普拉斯变换技术.

(Meets CSU/UC “c” requirement; NCAA批准)