Mathematics

3 credits

Grade Level: 9, 10

Prerequisite: 在八年级成功完成代数I (A部分)，并在高中分班考试中获得推荐分数70%(国家百分位)或更高.

本课程的目的是为学生谁已经成功的八年级代数或几何. 它是代数的基本原理的回顾和这些扩展，因为他们适用于新的主题.

Learner Outcomes

Students will:

• 演示，应用和扩展涉及入门代数概念和操作的技能.
• Identify and analyze common functions (linear, quadratic, exponential), use function operations and transformations.
• 认识并应用适当的方法来解决线性方程组和不等式.
• 使用图形计算器分析函数和解决问题.
• 运用和调整各种适当的策略来解决问题.
• Build self-confidence in mathematical abilities. 

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level: 9

Prerequisite:  在八年级成功完成代数I (A部分)，并在高中分班考试中获得85%(全国百分位)或更高的推荐分数. 阅读成绩达到75%(全国百分位)或更高也是推荐的

这门严谨的课程是为上进心强、认真的学生设计的, responsible and able to learn at a fast pace.

这门课程与中级代数相同，但速度更快，涵盖的内容更深入，重点是解决问题和掌握概念.

Learner Outcomes

Students will:

• 演示，应用和扩展涉及入门代数概念和操作的技能.
• Identify and analyze common functions (linear, quadratic, exponential), use function operations and transformations.
• 认识并应用适当的方法来解决线性方程组和不等式.
• 使用图形计算器分析函数和解决问题.
• 运用和调整各种适当的策略来解决问题.
• Build self-confidence in mathematical abilities.

 需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level: 9

Prerequisite: Completion of eighth-grade algebra

本课程的目的是为那些将受益于小班授课和更多一对一教师关注掌握数学/代数概念的学生. 它是代数的基本原理的回顾和这些扩展，因为他们适用于新的主题. 

Learner Outcomes

Students will:

• Apply introductory algebraic concepts.
• 识别和分析常用函数(线性，二次，指数)和使用函数操作.
• 使用图形计算器分析函数和解决问题.
• 运用和调整各种适当的策略来解决问题.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level:  10

Prerequisite: Successful completion of Intermediate Algebra

本课程介绍平面几何、立体几何和坐标几何的概念. 逻辑推理和批判性思维强调通过连接代数和现实生活中的应用. Formal proof and geometric probability are introduced.

Learner Outcomes

Students will:

• Explain and apply geometric concepts.
• Apply inductive and deductive reasoning skills to solve problems.
• 运用逻辑推理和批判性思维能力，运用和适应各种策略来解决问题.
• Build self-confidence in mathematical abilities

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level: 9, 10

Prerequisite:    Ninth grade: recommended 90 percent or higher on high school placement test; completion of Algebra I; pass the Academy of Holy Angels algebra proficiency examination and department recommendation. Tenth grade:顺利完成《菠菜网lol正规平台》课程并获得院系认可

This rigorous course is intended for highly interested, mature, 负责、认真、学习速度快的学生. 学生应该已经掌握并能够使用代数1的技能. This course may be taken concurrently with Advanced Algebra II.

This course is the same as Geometry, 但它涵盖了更深入的材料，并广泛使用形式证明来发展逻辑推理技能. Trigonometry is introduced.

Learner Outcomes

Students will:

• Understand and apply introductory geometric concepts.
• Apply inductive and deductive reasoning skills to solve problems.
• 运用逻辑推理和批判性思维能力，运用和适应各种策略来解决问题.
• Develop and apply strategies for completing formal proofs.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level: 9, 10

Prerequisite: 顺利完成高等中级代数课程并获得院系推荐

This rigorous course is intended for mature, responsible, 认真的学生，对数学有很高的兴趣，能够以非常快的速度学习. 学生应该已经掌握并能够使用高级中级代数的技能.

本课程结合了高等几何和高等代数II的关键概念，并将为学生准备高等微积分预备课程. Formal proof is used to develop logical reasoning skills. Trigonometry is introduced.

Learner Outcomes

Students will:

• Understand and apply introductory geometric concepts.
• Apply inductive and deductive reasoning skills to solve problems.
• Develop and apply strategies for completing formal proofs.
• 使用显式定义和递归定义的函数分析模式.
• 分析关系和函数，并使用不同的表示.
• 通过调查变化率、截距、零点来分析一个变量的函数, asymptotes, and local and global behavior.
• Develop and apply skills in transformations of functions.
• Analyze the properties of functions, including exponential, polynomial, rational, logarithmic, and periodic functions.
• Interpret representations of functions of two variables.
• 运用逻辑推理和批判性思维能力，运用和适应各种策略来解决问题.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器. 

3 credits

Grade Level: 10

Prerequisite: Successful completion of Intermediate Algebra Concepts

本课程的目的是为那些将受益于小班授课和更多一对一教师关注掌握数学概念的学生.

本课程提供几何与代数、科学、社会研究和艺术的综合观点. Real world applications are emphasized. 

Learner Outcomes

Students will:

• Understand and apply introductory geometric concepts.
• 使用和应用归纳和演绎推理及其应用.
• 运用逻辑推理和批判性思维能力，运用和适应各种策略来解决问题.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level: 10, 11, 12

Prerequisite: Successful completion of Intermediate Algebra and Geometry

本课程回顾了中级代数中的概念，并将这些概念扩展到新的主题. Statistics is introduced throughout the year.

Learner Outcomes

Students will:

• 使用显式定义和递归定义的函数分析模式.
• 分析关系和函数，并使用不同的表示.
• 通过调查变化率、截距、零点来分析一个变量的函数, asymptotes, and local and global behavior.
• Develop and apply skills in transformations of functions.
• Analyze the properties of functions, including exponential, polynomial, rational, logarithmic, and periodic functions.
• Interpret representations of functions of two variables.
• 运用逻辑推理和批判性思维能力，运用和适应各种策略来解决问题.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level: 9, 10, 11

Prerequisite:   

Ninth grade: Very high interest in mathematics. 成功完成高级中级代数或8年级代数A和B, Advanced Geometry, and recommended score of 90 percent (national percentile) on high school placement test; pass the Academy of Holy Angels algebra and geometry proficiency examinations and department recommendation.

Tenth and Eleventh Grade: Successful completion of Advanced Intermediate Algebra, Advanced Geometry, and department recommendation.

这门严格的课程与代数II相同，只是它涵盖的内容更深入，速度更快. Trimester 3 includes trigonometry. This course may be taken concurrently with Advanced Geometry.

Learner Outcomes

Students will:

• 使用显式定义和递归定义的函数分析模式.
• 分析关系和函数，并使用不同的表示.
• 通过调查变化率、截距、零点来分析一个变量的函数, asymptotes, and local and global behavior.
• Develop and apply skills in transformations of functions.
• Analyze the properties of functions, including exponential, polynomial, rational, logarithmic, and periodic functions.
• 运用逻辑推理和批判性思维能力，运用和适应各种策略来解决问题.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器. 

3 credits

Grade Level: 11, 12

Prerequisite: 成功完成中级代数概念和几何概念

本课程的目的是为那些将受益于小班授课和更多一对一教师关注掌握数学概念的学生. 

本课程将回顾和扩展中级代数概念的主题. Applications of algebra will be emphasized.

Learner Outcomes

Students will:

• Use the graphing calculator to analyze and solve problems.
• 发展和应用代数操作和计算技能.
• 运用和调整各种适当的策略来解决问题.
• Interpret representations of functions of one and two variables.
• 通过调查变化率、截距、零点来分析一个变量的函数.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level: 11, 12

Prerequisite: 成功完成代数II或高等代数II和部门推荐

这是一门为即将进入大学的数学或科学相关领域的学生设计的高等数学课程. It will review and extend topics from Algebra II. Functions, trigonometry, and statistics are studied as well.

Learner Outcomes

Students will:

• Prepare for calculus and college mathematics.
• Recognize various types of functions (including polynomial, rational, radical, exponential and logarithmic), analyze their behavior, 并利用这些函数的性质来解方程和应用问题.
• Define trigonometric functions, 考察单位圆，运用直角三角形的三角学方法解决问题.
• 学习和应用涉及三角函数的恒等式和公式.
• 运用和调整各种适当的策略来解决问题.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

AP Pre-Calculus

3 credits

Grade Level: 11, 12

Prerequisite: 成功完成高等代数II或加速高等几何/代数II和部门推荐

这是一门严格的高等数学课程，专为即将进入数学或科学领域的学生设计. This course will prepare students for AP Calculus. This course may be taken concurrently with AP Statistics.

参加AP预微积分课程的学生将准备并参加5月份的AP考试. 

由于这是一门AP课程，分数被视为“高级”课程.

Learner Outcomes

Students will:

• Prepare for the AP Pre-Calculus examination in May.

• Apply concepts of basic theory of mathematics, analytic geometry, trigonometry, and functions to solve problems.

• 认识各种类型的函数及其应用(包括多项式), rational, radical, exponential, logarithmic, polar, parametric, and vectors), analyze their behavior, 并利用这些函数的性质来解方程和应用问题.

• Define trigonometric functions, 考察单位圆，运用直角三角形的三角学方法解决问题.

• 学习和应用涉及三角函数的恒等式和公式.

• 运用和调整各种适当的策略来解决问题.

• Use the graphing calculator to analyze and solve problems.

• Prepare for AP Calculus or college mathematics

• Build self-confidence in mathematical abilities

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器. 

Grade Level: 12

Prerequisite: 成功完成微积分预科或高级微积分预科课程并获得院系推荐

这门课类似于大学微积分课程的前半部分.

Learner Outcomes

Students will:

• 发展和应用微积分技能，包括极限、导数及其应用.
• 运用和调整各种适当的策略来解决问题.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

Grade Level: 12

Prerequisite: 顺利完成高级微积分预备课程并获得院系推荐.

This rigorous course involves a discussion of limits, derivatives, the integral and their applications.

参加AP微积分课程的学生将准备并参加5月份的AP考试. Any waivers must be approved by the instructor and the principal.

This course may be taken for college credit through St. Mary’s University PACC program. 由于这是一门AP课程，分数被视为“高级”课程.

Learner Outcomes

Students will:

• Prepare for the AP Calculus AB examination in May.
• Develop and apply skills in function analysis, limits, differentiation, integration and their applications.
• 运用和调整各种适当的策略来解决问题.
• Use the graphing calculator to analyze and solve problems.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level: 11, 12

Prerequisite: 成功完成高等代数II或代数II并获得院系推荐. 本课程可与任何微积分预科或微积分课程同时进行.

这门严格的课程通过观察模式和偏离模式来探索数据. Students will develop skills in anticipating patterns, applying appropriate statistical methods, using probabilities, planning statistical studies and using statistical inference.

参加AP统计课程的学生将准备并参加5月份的AP考试. Any waivers must be approved by the instructor and the principal.

May be taken for college credit through St. Mary’s University PACC program. This is an AP course, and grades are weighted as “Advanced”.

Learner Outcomes

Students will:

• Prepare for the AP Statistics examination in May.
• Select methods for collecting and analyzing data.
• Describe patterns, trends, associations, and relationships in data.
• 用概率和模拟来描述概率分布，定义统计推断中的不确定性.
• 使用统计推理得出适当的结论和证明主张.
• 运用和调整各种适当的策略来解决问题.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level: 12

Prerequisite: 成功完成代数II概念和部门推荐

本课程是为那些需要额外时间来掌握数学概念和渴望实际应用基础数学的学生而设计的, geometry and algebra skills. Students will be expected to complete daily homework. 数学在艺术、科学和商业中的应用. This course does not qualify for NCAA credit.

Learner Outcomes

Students will:

• 运用和调整各种适当的策略来解决问题.
• 发展和运用基本的数学、代数和几何技能.
• Use the graphing calculator to analyze and solve problems.
• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器.

3 credits

Grade Level: 11, 12

Prerequisite: 成功完成代数II或微积分预科课程并获得院系推荐

对于学生谁已经成功地完成代数II或预微积分，并正在寻求额外的数学研究, 本课程探讨解决问题的策略，帮助学生应对挑战并获得信心. 数据集和统计是在日常生活的背景下探索.

Learner Outcomes

Students will:

• Select methods for collecting and analyzing data.

• Describe patterns, trends, associations, and relationships in data.

• 用概率和模拟来描述概率分布，定义统计推断中的不确定性.

• 使用统计推理得出适当的结论和证明主张.

• 运用和调整各种适当的策略来解决问题.

• Build self-confidence in mathematical abilities.

需要TI-83, TI-83 Plus, TI-84或TI-84 Plus图形计算器. 

3 credits (AP计算机科学如果与另一门数学课同时学习，可以作为第四年的数学课获得学分).

Grade Level: 11, 12

Prerequisite: Algebra II

Intro to Computer Science is recommended but not required.

计算机科学课程是大学水平的严格，重点是用Java语言编程，作为探索计算机科学基本概念和高级问题解决方法的一种方式. 本课程也强调使程序易于理解的设计问题, adaptable, and, when appropriate, reusable.

参加AP课程的学生将准备并参加5月份的AP考试. Any waivers must be approved by the instructor and the principal.

Learner Outcomes

Students will:

• Explore object oriented programming in the Java language.

• Write computer programs using Java.

• Practice stepwise refinement in problem solving.

• Read and interpret complex programs.

• Develop and implement algorithms in code.