### Table of Contents

- Online High School Math Courses
- 5 Reasons to Take High School and College Prep Math Courses Online
- Begin Your Path Toward Success Online Today!
- Resources and References:

There’s quite a lot of high school math courses available on High School of America’s online platform, including: algebra, geometry, trigonometry, pre-calculus, calculus and even statistics. The following sections will describe each of these courses in more detail and present multiple sources for study.

## Algebra

Algebra is the first course in most high school math programs. It teaches students about how to write and read mathematical equations, and how to solve for unknown variables using those equations.

Algebra can be considered a kind of elementary mathematics that serves as a foundation for higher level courses. This set of online resources are comprised of both textbook-like sources and interactive games designed to make algebra more engaging for students.

Here are some great options available:

- Algebra 1 Honors (1 Credit)
- Algebra 2 Honors (1 Credit)

## Geometry

The content in a geometry course covers shapes, measurements and spatial relationships. Geometry is generally considered an essential skill for science students as it lays out the foundation of math used to calculate results such as area, mass and volume in subjects like physics.

Here are some great resources available online that can help you learn geometry:

- Geometry (1 Credit)
- Mathematics for College Readiness (1 credit)

## Trigonometry

Trigonometry finds its roots in geometry. In trigonometry one not only takes on the study of triangles, but also how they relate to circles and other similar 3 dimensional figures. It’s quite simply the study of angles from a mathematical point of view. There are two main branches to trigonometry and each branch will cover different topics than the others.

The first Technical (or Analytic) branch, and the second is the Applied (or Synthetic) branch. The technical branch generally deals with functions like those found in simple electronics or physics settings. The applied branch deals research problems often related to astronomy or medical studies.

## Pre-Calculus

Calculus is a study of change that goes beyond what algebra teaches us about variables and constants. Calculus usually assume the learner already have an understanding of basic arithmetic, trigonometry, set theory as well as some mathematical maturity.

If you are interested in learning calculus then this set of online resources will be right up your alley:

- Pre-Calculus (1 Credit)

## Calculus

While technically not covered by high school math courses, it is an essential part of many engineering programs and is considered advanced mathematics. Calculus studies the derivative including second order derivatives, and how they pertain to physics, chemistry and biology. There are three main branches of calculus:

- Differential Calculus – This study involves finding rates of change over time;
- Integral Calculus- This study involves approximations for definite solutions from indefinite integrals;
- Parametric Calculus- This study involves using parametric equations to produce motion or other results in a variety of settings. These include things like curve tracing where you follow a curve as it moves through space with time (e.g. Newton’s Laws, sound waves), or work done by a force applied continuously on an object such that the object travels along a curve.

This resource has more information:

- Advanced Placement Calculus AB (1 Credit)

## Statistics

The study of statistics is generally considered an advanced topic and often features in the last courses of many math programs. It involves collecting data (i.e., samples) from a population and using those samples to make decisions about the whole population, or conduct inferences on that population based on our sample data.

A good example would be gambling; if you had 100 winning tickets you could infer that the next ticket would be a winner too. Statistics is commonly used for business decision making as well as scientific studies, especially biology and medicine related fields where sampling is critical to their work.

Statistics is also very helpful when learning how to analyze large sets of data such as those found in computer science and engineering.

Here is a great resource on statistics:

- Advanced Placement Statistics (1 Credit)

## Calculus II

This is one of the last courses many math students take before moving onto more advanced studies in their degree program. This course covers topics related to integrals, infinite series, parametric curves, polar coordinates and vectors. These are generally linked to algebra, geometry and calculus I so it’s important that you have a good grasp before moving onto this class.

## Differential Equations

Most people think of differential equations when they hear the phrase “advanced mathematics”. It’s actually used all around us from the heating element inside your oven or microwave to controlling vehicles for self-driving apps. The study of differential equations focuses on how a variable y depends on an unknown function f(x), such that y’ is also dependent upon x:

The solution to systems like this is called a “solution” because it describes the result over time of any system where y’ =f(x). Differential equations are used in many fields ranging from science (e.g. astronomy, biology) to economics and finance. There are several different types of differential equation including: linear, non-linear and partial derivatives, ordinary differential equations etc.

## Quantum Mechanics

There is a lot of debate about whether Quantum Mechanics can actually be called “advanced mathematics” because it’s more based in Physics then Math. However there are many math concepts used in this field including Linear Algebra, Matrix Theory, Complex Numbers and Vector Calculus.

## Mathematical Physics

Most people think of mathematical physics as being an advanced subject but it’s actually one of the most applied areas of mathematics. This area focuses on how math can be used to solve problems in physics such as those set by Newton, Maxwell, Einstein and Schrödinger.

## Group Theory

Group theory explores how objects are related through symmetry. You’ll notice that patterns like snowflakes or flowers have symmetries and each shape has either rotational or reflective symmetry (meaning that if you rotate it a certain number of times or flip it over then it’s back to what it was before).

The study of geometry and algebra has used symmetry for centuries but only recently have people started to explore those relationships. One thing that makes group theory particularly interesting is the fact that symmetries can transfer/transform into each other, which means there are underlying patterns in nature. Group theory also looks through things like permutations, states on finite groups and subgroups. Math related to these ideas is an important part of most math programs at universities and colleges.

## Combinatorics

Combinatorics focuses on counting the number of ways things can happen. One common application of this is referred to as Permutations and Combinations. Here’s an example:

The probability that a randomly chosen hexagon will have exactly three points in its interior is 1/75 (i.e., the probability that it has 0 points inside it is 36/50 multiplied by the probability that it has one point inside of it, which is 30/50 multiplied by the probability that two points are inside of it, which is 12/50). This happens because there are 75 different possible ways for a random hexagon to be formed so if any one of those possibilities cross out 3 “points” then we know there’s only 1 option remaining and hence only 1 probability of being correct.

This is a very simple example, in fact most problems are much more complex than this but the concept behind it remains the same whether you’re counting atoms, groups or library books.

## Combinatorics & Graph Theory

This course focuses on graph theory which is another area used to solve math related problems where there are multiple variables. For example let’s say we have “X” number of people and “Y” number of activities to participate in over one day (e.g., 10 people doing 5 things). For every combination that can be formed between participants and activities what’s the probability that all participants complete each activity if they get to choose for themselves? The answer is 100% because if they don’t then there’s no option of them choosing to do the activity again.

This field focuses a lot on using graphs, which are formed by vertices and edges. For example in the above problem we could represent people as points (vertices) and activities as lines connecting that point with other points (edges). This way each person would have an edge going from them to all of their involved activities, while each activity would have multiple edges coming from it with different shapes depending on how many people chose that particular activity over all (e.g., some may be squares which connect 1 vertex to 4 others while some might be triangles which connect 3 vertices together). Using graphs allow us to study and represent problems within a visual context.

I want to stress that these are just general examples of applications of math, there’s a lot more out there which we haven’t even touched on yet (e.g., number theory). We hope this post has helped you think about how math can be applied to real life issues beyond the classroom!

## 5 Reasons to Take High School and College Prep Math Courses Online

Learning math can be a challenge for some students, especially for those who have trouble grasping the subject matter. Sometimes it’s just easier to learn in person with an experienced teacher.

However, many teachers are not available in rural communities or at schools that serve large numbers of minority and low-income kids. Fortunately, there is another alternative out there…online math classes! Here’s why you might consider taking your high school or college prep math course online.

**1. It Can Be Less Expensive**

Online math courses are usually less expensive than traditional courses offered by local schools. This is due to money saving features like short class times (usually between five and eight hours each week), a lack of expensive supplies, and less commuting and traveling time. Because the courses are completed online, there’s no need for textbooks. This saves money on book costs.

**2. It Saves Time**

You can consume all the math you need in one or two years instead of having to attend class four to six days each week for several months or whole semesters at a time. Once you’re done with your course, you’ll have earned your math credit in no time!

**3. There Is No Summer School Required**

Some students must take summer school if they fail to pass their traditional classes in the fall semester. If that is not an issue for you, consider taking your college prep math course during the summer break so that you can enjoy more time with your friends and family!

**4. You Have A Lot of Control**

Online math is all about self-study. You can work at your own pace, set study goals for yourself, and interact directly with the teacher during lessons to ask questions or clear up any confusion. With this freedom comes responsibility. If you decide to take an online math course, make sure it’s not just a quick way to get out of class—you’ll need to really buckle down and dedicate yourself in order to pass the classes on time, especially if you do not have much experience studying online courses before.

**5. It May Be Easier Than a Physical Class**

Some research suggests that math may be easier to learn online than in person. Students seem to do better with math concepts when they don’t have the stress of worrying about other people looking at them while they work.

In a traditional class, teachers can make mistakes or give students incorrect information without realizing it, which adds confusion and frustration for students who already find math tough. It’s easier to focus online since you’ll most likely not be distracted by others trying to call your attention away from an assignment!

## Begin Your Path Toward Success Online Today!

High School of America’s online math courses are ideal for anyone who would like to expand their knowledge of mathematics and gain a better understanding of how it is used in the real world. Whether you’re looking to complete your high school diploma with advanced level math credits or you want to prepare yourself for college and career success, we have the course that will meet your needs.

Using fun, innovative, and engaging lessons, our instructors guide students through each topic using real-world examples that keep them engaged while allowing them to test their knowledge at regular intervals. Our intuitive learning management system makes it easy for students to track their progress throughout the course so they can move at a pace that’s right for them while still giving them the support they need when problems arise.

We know students often have a lot of questions about online learning, so we are here to help! With 24/7 support and extensive FAQs, you can learn all you need before you enroll.

## Resources and References:

Comments are closed.

## FAQs

### What is the hardest math class in HS? ›

What is the Hardest Math Class in High School? In most cases, you'll find that **AP Calculus BC or IB Math HL** is the most difficult math course your school offers. Note that AP Calculus BC covers the material in AP Calculus AB but also continues the curriculum, addressing more challenging and advanced concepts.

**Is Khan Academy enough for high school math? ›**

**Yes, Khan Academy is good for learning math**. But a student shouldn't just use Khan Academy on its own. There's more to learning math that a student won't find on Khan Academy. Learning math, being truly proficient in it, takes five major components, according to the Adding it up: Helping Children Learn Mathematics.

**What is the easiest math class in high school 12th grade? ›**

Which math classes are the easiest? According to a large group of high-schoolers, the easiest math class is **Algebra 1**. That is the reason why most of the students in their freshman year end up taking Algebra 1. Following Algebra 1, Geometry is the second easiest math course in high school.

**What math do most 12th graders take? ›**

By 12th grade, most students will have completed **Algebra I, Algebra II, and Geometry**, so high school seniors may want to focus on a higher level mathematics course such as Precalculus or Trigonometry. Students taking an advanced mathematics course will learn concepts like: Graphing exponential and logarithmic functions.

**Which hs year is the hardest? ›**

While **junior year** is often the hardest year of high school, the transition from middle school to 9th grade can also be tough. To make it easier, don't feel afraid to reach out to your teachers and counselors, and take advantage of the support resources that are available.

**Is Mathnasium better than Kumon? ›**

Overall, **Mathnasium is the better choice for most students**. Kumon has its advantages, but the learning system is more contentious than not, and learning professionals argue that it's important for a child to take control of their own education to some extent. If you want your kid to like math, put them in Mathnasium!

**What is the order of math classes? ›**

**Typical Math Progression**

- Arithmetic (grades k-8)
- Pre Algebra (grades 6-9)
- Algebra 1 (grades 8-10)
- Geometry (grades 9-10)*
- Algebra 2 (grades 10-12)
- Trigonometry / Pre-Calculus (grades 10-12)
- Calculus (grades 10-12)

**What math do most high schoolers take? ›**

**The typical order of math courses followed by most students in high school is:**

- Algebra 1.
- Geometry.
- Algebra 2.
- Trigonometry.
- Pre-Calculus.
- Calculus.
- Advanced Placement Classes.

**What is better than Khan Academy? ›**

We have compiled a list of solutions that reviewers voted as the best overall alternatives and competitors to Khan Academy, including **Pluralsight Skills, LinkedIn Learning, Coursera, and Codecademy**.

**Is Khan Academy a full math curriculum? ›**

When people find out that Ben uses Khan Academy, the first thing they ask is if Khan Academy math lessons can be used as a full math curriculum. The answer is **yes!** **Khan Academy math lessons can absolutely be used as a full homeschool math curriculum**.

### What math do most 11th graders take? ›

What Math Should an 11th Grader Know? Typically, students in grade 11 take **Algebra II** (if they followed the traditional course sequence: Algebra I in 9th grade, and Geometry in 10th grade). However, some students may be able to take Algebra I while still in 8th grade.

**What math do most 10th graders take? ›**

**Algebra 1 and Algebra 2**

With our 10th grade math tutoring, your teen will learn key algebra concepts and skills, such as how to: Simplify to determine if rational expressions are equal; then multiply and divide rational expressions. Multiply and divide algebraic expressions.

**Is 11th grade harder than 12th grade? ›**

Most schools will actually give students a slightly lighter workload during their last year of high school. As a result, **eleventh grade turns out to be harder in terms of workload than twelfth grade**. Also, many students take on more courses (and more difficult courses) in eleventh grade.

**What math do 17 year olds take? ›**

Age seventeen is a common year to learn about: Advanced math courses such as **trigonometry and pre-calculus** (if they have completed two algebra courses and a geometry course already)

**How many years of high school math do colleges require? ›**

Most colleges want students with **three years** of high school math. The more competitive colleges prefer four years.

**What is the best math curriculum for high school? ›**

**Top High School Algebra Curriculums 6-10**

- Video Text Interactive Math Algebra.
- Abeka Algebra.
- Dive Into Math Algebra.
- CTC Math Algebra. BJU Press Algebra.

**What grade is the easiest in high school? ›**

Going into high school, many students hear that **freshman year** is the “easiest” year. Some think that colleges don't consider it as much as they do one's sophomore, junior, and senior years. While this is typically true, it doesn't mean that students should entirely dismiss the importance of their freshman year.

**What grade in high school is most important? ›**

Most college admissions committees consider your **11th-grade** transcript to be the most important.

**What year of high school do colleges look at the most? ›**

Your **first year and sophomore year** affect your cumulative GPA, which is important to most colleges. However, a solid academic record in your junior year is likely to carry more importance with an admissions committee.

**Is there free online math help for high school? ›**

**Websites that Help Students with High School Math**

- S.O.S. Mathematics. ...
- Math.com. Simply put, Math.com has everything needed for a website that assists students with help in high school math. ...
- WebMath.com. ...
- MathPlanet.com.

### How to study math in high school? ›

**Math Study Tips**

- Study outside of class regularly. ...
- Read your textbooks. ...
- Get good at taking notes class. ...
- Make summary sheets. ...
- Practice all problems until you have mastered the ability to solve and check them.
- Be aware of what topics you know well, which topics need more practice and which topics you don't know at all.

**What is the fastest way to learn mathematics? ›**

**Fastest Way to Learn Maths: 13 Best Ideas**

- Start From the Foundations.
- Concentration Is Key.
- Develop Number Sense Instead of Memorizing.
- Identify Your Mistakes.
- Grasp Concepts.
- Get Help When You Need It.
- Solving Practice Questions Is Important.
- Don't Bunk Lectures.

**Is Kumon or Sylvan better? ›**

Sylvan vs Kumon: Basic Overview

Both Kumon and Sylvan offer reading and math tutoring. Sylvan also offers a significant number of topics, all the way up through test prep for college entrance exams. **Kumon is primarily focused on younger students, typically elementary school aged, whereas Sylvan focuses on all ages**.

**Does Mathnasium give homework? ›**

Does Mathnasium give homework? At Mathnasium, **we help with homework** and don't pile on more work at home for everyone. Part of every math workout is set aside for homework help, or preparing for tests and quizzes. This helps students keep up with their current schoolwork.

**How many times a week is Mathnasium? ›**

We recommend that they attend Mathnasium **2-3 times per week** as attending less frequently will slow results and attending too often could lead to student burnout.

**What math class do most 9th graders take? ›**

9th grade math usually focuses on **Algebra I**, but can include other advanced mathematics such as Geometry, Algebra II, Pre-Calculus or Trigonometry.

**What is the hardest math to learn? ›**

Calculus is the hardest mathematics subject and only a small percentage of students reach Calculus in high school or anywhere else. **Linear algebra** is a part of abstract algebra in vector space. However, it is more concrete with matrices, hence less abstract and easier to understand.

**What math class is higher than calculus? ›**

After completing Calculus I and II, you may continue to **Calculus III**, Linear Algebra, and Differential Equations. These three may be taken in any order that fits your schedule, but the listed order is most common.

**What math do most high school freshman take? ›**

**Algebra 1**. This is the first high school 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.

**What math do most freshmen take? ›**

Entry-level math in college is considered the stepping stone to more advanced math. **Algebra 1, trigonometry, geometry, and calculus 1** are the basic math classes.

### What are the 4 types of math? ›

The main branches of mathematics are **algebra, number theory, geometry and arithmetic**.

**Is Khan Academy 100% free? ›**

With our iOS and Android apps, you can learn anything on just-about any device! **They're all 100% free**, with no in-app purchases or subscriptions.

**Can I trust Khan Academy? ›**

**Khan Academy is the leading online learning resource used and trusted by US teachers and students**. of teachers and students who have used Khan Academy report it is an effective learning resource, more than any other core curriculum online learning resource.

**What is the No 1 learning app? ›**

Free Apps | |
---|---|

1 | Duolingo: Learn English Duolingo |

2 | English Kid Game OckyPocky |

3 | PW -JEE/NEET, UPSC, GATE, Bank Alakh Pandey |

4 | Unacademy Learner App Unacademy |

**Can I use Khan Academy for high school? ›**

Trusted content. Created by experts, Khan Academy's library of trusted, standards-aligned practice and lessons **covers math K-12 through early college, grammar, science, history, AP®, SAT®, and more**. It's all free for learners and teachers.

**Can you master math with Khan Academy? ›**

At Khan Academy we believe that **all students can learn and master any subject and concept**.

**Does Khan Academy count as homeschooling? ›**

Khan Academy offers videos in Math, Science, History, Economics, Test Prep, Reading, Computer Programming & more. **The academy now has a free course set up function which makes creating an online homeschool course easy and simple to implement**. This option is great for homeschool families who are on a tight budget.

**What grade do most kids take algebra? ›**

Some schools may offer Algebra I in either **9th/10th grade OR 11th/12th grade**, but not both. Nonetheless, it is important that students have access to Algebra I sometime in their high school career.

**Do you take algebra 2 in 11th grade? ›**

**Students typically learn Algebra II in 11th grade**. An Algebra II curriculum usually builds on knowledge and skills that are gained in Algebra I and reinforced in Geometry, including relationships between quantities through equations and inequalities, graphing of functions, and trigonometry.

**Do universities look at grade 11 math? ›**

**In some cases, universities will consider your Grade 11 U/M grades for early offers of admission**, where Grade 12 U/M grades are incomplete or not available.

### What is taught in 11th grade math? ›

**Pre-Calculus**

Sets, sequences, series, number systems, exponents and factoring. Linear and non-linear equations and inequalities. Cartesian coordinate system. Linear, quadratic, polynomial and rational functions.

**What is 12th grade math called? ›**

In high school, most students will take the following order of math classes in high school: 9^{th} grade: Algebra 1 (freshman year) 10^{th} grade: Geometry (sophomore year) 11^{th} grade: Algebra 2 (junior year) 12^{th} grade: **Pre-calculus** (senior year)

**What is the typical high school math sequence? ›**

The typical order of math classes in high school is:

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

**What grade should a 16 year old be in? ›**

Student Age (as of September 1, 2023) | American Grade Equivalent |
---|---|

17 years old | Grade 12 |

16 years old | Grade 11 |

15 years old | Grade 10 |

14 years old | Grade 9 |

**What is the hardest subject in the world? ›**

What are the hardest degree subjects? The hardest degree subjects are Aerospace Engineering, Law, Chartered Accountancy, Architecture, Chemistry, Medicine, Pharmacy, Psychology, Statistics, Nursing, Physics, Astrophysics, Biomedical Engineering, Astronomy, and Dentistry.

**How do 11th graders get straight A's? ›**

**How To Become a Straight A Student**

- Manage your time in 5 minutes each day. ...
- Always have a plan. ...
- Be organized. ...
- Take care of your physical health. ...
- Don't cram — instead, use a periodic review system. ...
- Form a homework group. ...
- Set up a distraction-free study area. ...
- Clarify your doubts immediately.

**Which is the most difficult math? ›**

**5 of the world's toughest unsolved maths problems**

- Separatrix Separation. A pendulum in motion can either swing from side to side or turn in a continuous circle. ...
- Navier–Stokes. ...
- Exponents and dimensions. ...
- Impossibility theorems. ...
- Spin glass.

**What is the highest math taught in high school? ›**

**Calculus** Is the Peak of High School Math.

**What is the best math class in high school? ›**

Nevertheless, it's good to choose classes that can set you up for your college major. **Algebra, Geometry, Trigonometry, Pre-Calculus, and Calculus** are the subjects you must consider.

**What's the easiest math class in high school? ›**

Which math classes are the easiest? According to a large group of high-schoolers, the easiest math class is **Algebra 1**. That is the reason why most of the students in their freshman year end up taking Algebra 1. Following Algebra 1, Geometry is the second easiest math course in high school.

### What math is higher than calculus? ›

After completing Calculus I and II, you may continue to Calculus III, **Linear Algebra, and Differential Equations**. These three may be taken in any order that fits your schedule, but the listed order is most common.

**Which is harder algebra or calculus? ›**

**Calculus is the hardest mathematics subject** and only a small percentage of students reach Calculus in high school or anywhere else. Linear algebra is a part of abstract algebra in vector space. However, it is more concrete with matrices, hence less abstract and easier to understand.

**What are the 7 hardest math problems? ›**

Clay “to increase and disseminate mathematical knowledge.” The seven problems, which were announced in 2000, are the **Riemann hypothesis, P versus NP problem, Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier-Stokes equation, Yang-Mills theory, and Poincaré conjecture**.

**What is the lowest math class in high school? ›**

**Typical Math Progression**

- Arithmetic (grades k-8)
- Pre Algebra (grades 6-9)
- Algebra 1 (grades 8-10)
- Geometry (grades 9-10)*
- Algebra 2 (grades 10-12)
- Trigonometry / Pre-Calculus (grades 10-12)
- Calculus (grades 10-12)

**What math should a 9th grader take? ›**

9th grade math usually focuses on **Algebra I, but can include other advanced mathematics such as Geometry, Algebra II, Pre-Calculus or Trigonometry**. This is the year when they formalize and extend their understanding and application of quadratic and exponential functions as well as other advanced mathematical concepts.

**Which high school year is the easiest? ›**

Going into high school, many students hear that **freshman year** is the “easiest” year. Some think that colleges don't consider it as much as they do one's sophomore, junior, and senior years. While this is typically true, it doesn't mean that students should entirely dismiss the importance of their freshman year.

**Is algebra 2 harder than geometry? ›**

**Geometry is simpler than algebra 2**. So if you want to look at these three courses in order of difficulty, it would be algebra 1, geometry, then algebra 2.