# Upper School Mathematics Courses

## Mathematics

### Algebra 1

Algebra 1 is the foundation of upper school math. The skills acquired in this course contain the basic knowledge needed for all future math courses. The content in this course is tied to real-world applications like sports, travel, business, and health. This course is designed to give students the basic skills and problem-solving strategies to work through many types of mathematical problems using critical thinking skills.

Topics include: basic operations, modeling, algebraic properties, functions, expressions, equations and inequalities, polynomials, factoring, exponents, radicals, linear, exponential and quadratic functions, systems, intro to statistics, and word problems. Students are assessed throughout each module to demonstrate their mastery of the course content.

*College Prep • UC Approved Mathematics • NCAA Approved Mathematics*### Honors Algebra 1

Algebra 1 is the foundation of upper school math. The skills acquired in this course contain the basic knowledge needed for all future math courses. The content in this course is tied to real-world applications like sports, travel, business, and health. This course is designed to give students the basic skills and problem-solving strategies to work through many types of mathematical problems using critical thinking skills.

Topics include: basic operations, modeling, algebraic properties, functions, expressions, equations and inequalities, polynomials, factoring, exponents, radicals, linear, exponential and quadratic functions, systems, intro to statistics, and word problems. Students are assessed throughout each module to demonstrate their mastery of the course content. Honors Algebra 1 adds additional rigorous content and activities to apply the skills introduced in the Algebra 1 curriculum.

**Prerequisite: Successful completion of Pre-Algebra with an A or B***Honors • UC Approved Mathematics • NCAA Approved Mathematics*### Geometry

One day in 2580 B.C.E., a very serious architect stood in a dusty desert with a set of plans. His plans called for creating a structure 480 feet tall, with a square base and triangular sides, using stone blocks weighing two tons each. The Pharaoh wanted the job done right. The better this architect understood geometry, the better his chances were of staying alive. Geometry is everywhere, not just in pyramids. Engineers use geometry to build highways and bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid. Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem-solving.

**Prerequisite: Successful completion of Algebra 1***College Prep • UC Approved Mathematics • NCAA Approved Mathematics*### Honors Geometry

One day in 2580 B.C.E., a very serious architect stood in a dusty desert with a set of plans. His plans called for creating a structure 480 feet tall, with a square base and triangular sides, using stone blocks weighing two tons each. The Pharaoh wanted the job done right. The better this architect understood geometry, the better his chances were of staying alive. Geometry is everywhere, not just in pyramids. Engineers use geometry to build highways and bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid.

Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem-solving. Students will complete honors assignments for each module which require in-depth analysis of course topics.

**Prerequisite: Successful completion of Algebra 1 or Honors Algebra 1 with an A or B***Honors • UC Approved Mathematics • NCAA Approved Mathematics*### Algebra 2

Algebra 2 allows students to learn while having fun. Interactive examples help guide students’ journey through customized feedback and praise. Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Students investigate the effects of an equation on its graph through the use of technology. Students have opportunities to work with their peers on specific lessons. Algebra 2 is an advanced course using hands-on activities, applications, group interactions, and the latest technology.

**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Algebra 1/strong>***College Prep • UC Approved Mathematics • NCAA Approved Mathematics*### Honors Algebra 2

Honors Algebra 2 allows students to learn while having fun. Interactive examples help guide students’ journey through customized feedback and praise. Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Students investigate the effects of an equation on its graph through the use of technology. Students have opportunities to work with their peers on specific lessons. Algebra 2 is an advanced course using hands-on activities, applications, group interactions, and the latest technology. Students will complete honors assignments for each module which require in-depth analysis of course topics.

**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Algebra 1***Honors • UC Approved Mathematics • NCAA Approved Mathematics*### Pre-Calculus

Pre-Calculus is the culmination of a students’ high school mathematics journey, as they learn the fundamentals of advanced functions, trigonometry, logarithms, and more. This course thoroughly prepares students for the oncoming rigor of Calculus in a manner that is compelling and rewarding and fosters an appreciation for the real-life applications of each topic explored, as well as for math itself. With auditory, visual, and hands-on components throughout, this is truly a course that suits all learning styles. The lessons are engaging, interactive, and student-friendly, with interactive videos that allow students to pause and rewind at any point and go at their own speed, as well as fun, interactive applets and dynamic graphs scattered throughout that enhance student understanding.

**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Algebra 2 and Geometry***College Prep • UC Approved Mathematics • NCAA Approved Mathematics*### Honors Pre-Calculus

Honors Pre-Calculus is the culmination of a students’ high school mathematics journey, as they learn the fundamentals of advanced functions, trigonometry, logarithms and more. The course thoroughly prepares students for the oncoming rigor of Calculus, yet does so in a manner that is compelling and rewarding, and fosters an appreciation for the real-life applications of each topic explored, as well as for math itself. With auditory, visual, and hands-on components throughout, this is truly a course that suits all learning styles.

The lessons are engaging, interactive and student-friendly, with interactive videos that allow students to pause and rewind at any point and go at their own speed, as well as fun, interactive applets and dynamic graphs scattered throughout that enhance student understanding. Students will complete honors assignments for each module which require in-depth analysis of course topics.

**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Algebra 2 and Geometry***Honors • UC Honors Approved Mathematics • NCAA Approved Mathematics*### Calculus

This award-winning course is a robust, engaging, interactive, and student-friendly immersion into calculus. In this course, students begin a journey of calculus discovery and development that suits all learning styles with auditory, visual, and hands-on components throughout. Calculus provides students a foundation for progression into college-level Calculus. Within this course, students are led through the historical journey of the discovery and development of calculus.

Each lesson involves interactive videos that allow students to go at their own speed, with the ability to pause and rewind at any point. With student-friendly note packages and practice questions with detailed solutions, students will never get stuck and can learn how to solve even the most challenging calculus problems. Students can also retake every quiz and test to encourage them to strive towards mastery.

**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Pre-Calculus***College Prep • UC Honors Approved Mathematics • NCAA Approved Mathematics*### Trigonometry - Semester

This semester course focuses on the essential topics of trigonometry. The course provides a foundation of basic trig concepts including degrees/radians, unit circle, trig ratios, trig equations, graphing and trig applications.

**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Algebra 2 and Geometry***College Prep • UC Honors Approved Mathematics • NCAA Approved Mathematics*### Probability and Statistics - Semester

Introduction to Probability and Statistics combines step-by-step instructions, real-life examples and exercises, as well as technology to make statistics accessible for all. This course will show how statistics is used to picture and describe the world and will also help students learn how to apply statistics to make informed decisions. The goal of this course is not to produce statisticians but to produce informed consumers of statistical reports. For this reason, students will complete exercises that require them to interpret results, provide written explanations, find patterns, and make decisions.

**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Algebra 2***College Prep • UC Honors Approved Mathematics • NCAA Approved Mathematics*### Discrete Mathematics

Discrete Mathematics is a course that will provide a general survey of mathematical topics that are useful in our contemporary world. The e-text, Thinking Mathematically, allows students to apply mathematics to their lives in interesting, enjoyable and meaningful ways. The goal of this course is to provide a way for students to discover and rediscover mathematical applications of relevant math concepts to apply in their lives including Problem Solving, Logic, Voting and Apportionment, Graph Theory, and Personal Finance.

**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Algebra 2***College Prep • UC Honors Approved Mathematics • NCAA Approved Mathematics*

## AP® Mathematics

### AP® Calculus AB

This award-winning AP

^{®}Calculus course is an immersion into calculus, giving students a taste of college with the comfort of high school. Within this course, students are led through the historical journey of the discovery and development of calculus. Each lesson involves interactive videos that allow students to go at their own speed, with the ability to pause and rewind at any point. With student-friendly note packages and practice questions with detailed solutions, students will never get stuck and can learn how to solve even the most challenging calculus problems. Students can also retake every quiz and test, which are randomized, to encourage them to strive towards mastery.This course is designed to cover the equivalent of one semester of college calculus. AP Calculus AB covers derivatives, definite integrals and the fundamental theorem of calculus. Note: AP Calculus AB only differs from AP Calculus BC in scope, not difficulty.

**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Pre-Calculus***Advanced Placement • UC Honors Approved Mathematics • NCAA Approved Mathematics*The level of rigor in these AP

^{®}Math courses is equivalent to that required of students in a freshman or sophomore college course in this area of study. These courses have been audited and approved by the College Board and prepare students for the College Board Advanced Placement^{®}examination.### AP® Calculus BC

This award-winning AP

^{®}Calculus course is an immersion into calculus, giving students a taste of college with the comfort of high school. Within this course, students are led through the historical journey of the discovery and development of calculus. Each lesson involves interactive videos that allow students to go at their own speed, with the ability to pause and rewind at any point. With student-friendly note packages and practice questions with detailed solutions, students will never get stuck and can learn how to solve even the most challenging calculus problems. Students can also retake every quiz and test, which are randomized, to encourage them to strive towards mastery.AP Calculus BC covers the first two semesters of University Calculus (Calc 1 and Calc 2). It includes the topics covered in AP Calculus AB with the addition of parametric functions, polar functions, vector functions and analysis of series. Note: AP Calculus BC only differs from AP Calculus AB in scope, not difficulty

**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Pre-Calculus***Advanced Placement • UC Honors Approved Mathematics • NCAA Approved Mathematics*The level of rigor in these AP

^{®}Math courses is equivalent to that required of students in a freshman or sophomore college course in this area of study. These courses have been audited and approved by the College Board and prepare students for the College Board Advanced Placement^{®}examination.### AP® Computer Science A

AP

^{®}Computer Science A introduces students to computer science through programming. Fundamental topics in this course include the design of solutions to problems, the use of data structures to organize large sets of data, the development and implementation of algorithms to process data and discover new information, the analysis of potential solutions, and the ethical and social implications of computing systems. The course emphasizes object-oriented programming and design using the Java programming language. The AP Computer Science A course is a year-long course designed to help students master the basics of Java and equip them to successfully pass the College Board AP Computer Science A Exam at the end of the school year.**Prerequisite: Successful completion of Algebra 2***Advanced Placement • UC Honors Approved Mathematics*The level of rigor in these AP

^{®}Math courses is equivalent to that required of students in a freshman or sophomore college course in this area of study. These courses have been audited and approved by the College Board and prepare students for the College Board Advanced Placement^{®}examination.### AP® Statistics

The AP

^{®}Statistics course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes evident in the content, skills, and assessment in the AP Statistics course: exploring data, sampling and experimentation, probability and simulation, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. The purpose of this course is to provide students with a deep understanding of the concepts of statistics to prepare them for the AP Statistics Exam and for future higher education statistics courses.**Online or Handheld Graphing Utility Required****Prerequisite: Successful completion of Algebra 2***Advanced Placement • UC Honors Approved Mathematics • NCAA Approved Mathematics*^{®}Math courses is equivalent to that required of students in a freshman or sophomore college course in this area of study. These courses have been audited and approved by the College Board and prepare students for the College Board Advanced Placement^{®}examination.

### AP^{®} Mathematics

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How to sign up for the AP Exam as a homeschool student