There are numerous branches within Mathematics and choosing the right classes to take can be challenging for high school students. In this article, we will introduce the Common Core curriculum to help you better understand the standard and requirements of math classes in high school. After, we will also provide information about the list of Math classes available for you to take.

###### Common Core Curriculum

According to the Common Core Curriculum standard for Math, schools are required to cover six areas in high school math courses:

Most high schools require students to take three years of math in order to graduate and recommend taking four years. These requirements often also include completing an algebra class and a geometry class.

General areas of math include:

- Number and Quantity
- Algebra
- Functions
- Modeling
- Geometry
- Statistics and Probability

Therefore, according to the Common Core standards, a typical order of core High School Math classes from freshman to senior year is:

- Algebra 1
- Geometry
- Algebra 2/Trigonometry
- Pre-Calculus
- Calculus

Before entering high school, students will **take placement exams to determine the level of knowledge they currently have. **Students who are interested in further pursuing Math in high school or college can consider more advanced Math classes, like Statistics, AP Calculus AB, AP Calculus BC, or other Math-related classes, such as Computer Science classes.

While different schools have different curricula, the majority at least loosely follow the Common Core standard. Below are some common math classes most high schools have:

##### High School Math Classes

###### Algebra 1

This is the first math class when you enter the first high school year. In this course, you’ll study topics ranging from expressions, systems of equations, functions, real numbers, linear questions, polynomials, quadratic equations, and functions.

Students can be placed into this class for their freshman year, or other advanced math classes like Geometry or Algebra 2, based on their results of a placement test at the end of 8th grade beginning of their 9th-grade year.

###### Geometry

In the geometry class, you will study the relationships in geometric figures in a plane and in space, as well as mathematical methods such as deductive proof. The content is built upon Algebra I.

###### Algebra 2

Algebra 2 is a course sequence built upon the foundation of Algebra I. Topics you will study include rational number exponents, functions, quadratic functions, and complex numbers, solutions of linear and quadratic equations, inequalities, absolute value equations, polynomials, exponential, logarithmic, and rational functions.

###### Trigonometry

Many schools integrate the topics covered in Trigonometry into Pre-Calculus class. Trigonometry class is built upon the foundation of Algebra II, with the goal of preparing you for Precalculus. In this class, you will study algebra content and the algebraic and graphical study of the six elementary trigonometric functions.

###### Pre-Calculus

Precalculus will provide you with profound knowledge in trigonometric functions, polynomial and rational functions, and logarithmic and exponential functions. Pre-calculus will prepare you for taking Calculus or AP Calculus.

###### Calculus

During Calculus, students can expect to continue the material taught in Pre-Calculus and begin to study differentiation and integration of the elementary functions, with an emphasis on problem-solving.

###### AP Classes

For students who’re interested in STEM majors in college, taking AP classes such as AP Statistics, AP Calculus AB, or AP Calculus BC is an important jumpstart in the college application.

**AP Calculus AB**: Explore the concepts, methods, and applications of differential and integral calculus. Generally equivalent to the 1st semester of college-level calculus.**AP Calculus BC**: Explore the concepts, methods, and applications of differential and integral calculus. This class includes all the content covered in AP Calculus AB and adds additional topics including parametric equations, polar coordinates, and vector functions, as well as infinite sequences and series. Generally equivalent to the 2 semesters of college-level calculus, allowing students to start in multi-variable calculus in college.**AP Statistics**: Explore major concepts and tools used for collecting, analyzing, and drawing conclusions from data.

###### Honors Classes

Besides regular and AP classes, schools will also offer honors mathematics classes. Honors classes are taught with greater depth and breadth at a higher pace and are suitable for students who want and can handle challenging and advanced math topics.

###### Computer Science

Computer Science courses are real-world applications of math, with classes ranging from Algorithms to Graph Theory with Python, depending on the school. The focus of computer science electives is to provide you with knowledge about real-world application of math as well as introductory knowledge about programming.

The College Board offers two AP Computer Science exams:

- AP Computer Science A: Learn the concepts and tools of computer science through the Java programming language. Then, apply the knowledge learned to design, write, and test computer programs that solve problems or accomplish tasks.
- AP Computer Science Principles: Learn the principles that underlie the science of computing and develop the thinking skills that computer scientists use. Students work on their own and as part of a team to creatively address real-world issues using the tools and processes of computation. This class teaches more of the concepts of how computers work and is recommended for students without knowledge in the area.

##### Take your interest in Math and Computer Science further...

If you’re interested in Math and want to discover ways to advance your knowledge, consider four ways to be involved and improve:

###### Design your own class

If your school has a strong Math and Computer Science curriculum or STEM (Science, technology, Engineering, Mathematics) field curriculum, you will be more likely to have an independent study opportunity available.** Independent study is where you take your topic of interest in a subject and conduct art research/study 1-on-1 with a teacher. **

If you are interested in statistics or finance, math, or computer science in general, you can reach out to a Math or CS teacher at school to express your interest and ask for mentorship in the independent study of your choosing. **The initiative to advance your study will help you in college and in your career and create a great impression with the college admission board when you submit your application. **

###### Participate in Math Competitions

High school competitions are a great way to stand out in the application pool! In the college admission process, if your standardized test scores are entry passes to enter the college’s door, extracurricular activities are what make you stand out to the admissions officer. Extracurricular activities can range from participation in Math Club, or competing in regional, national, and international math competitions. One of the most longest-standing and prestigious math competitions is definitely the AMC (American Mathematics Competition), which has 3 levels, AMC 8, AMC 10, and AMC 12. **But, there are more math-related competitions, for the full list, you can check out our newly published ****Infographic: High school competition to boost your profile. **

For students who are interested in AMC and want to learn more about the competition, don’t forget to read this comprehensive guide to AMC.

###### Take an online class

Online classes are available anywhere and anytime on different platforms. At Aralia, we offer a signature Math Competition Prep for middle and high school students, and Computer Science through Programming. More information is provided below:

## MATH COMPETITION PREP FOR AMC/HMMT

**Description:** Many Top Colleges require AMC scores as part of the college application. This is a Complete prep course for AMC10 and a partial prep course for AMC12. The course consists of closing any gaps in knowledge required for AMC10 exam, while discussing strategies for taking the exam. The focus is around approaches and methods via examples and exercises in the textbook, in addition to working on exam problems from past years.

**Project time:** Rolling enrollment throughout the year, one class every weekend, 1.5 hours per class