Gliding Into Calculus: How to Take It in High School After Algebra

Transitioning from algebra to calculus in high school can be challenging but extremely rewarding. Many students find it possible and even beneficial to take calculus courses, especially if they have a strong foundational understanding of algebra. Here is a comprehensive guide on how to achieve this, along with tips and strategies to stay on track.

Preparation Pathway

The journey to calculus begins with a solid foundation in algebra, and the next step is geometry. This is typically covered during the 9th or 10th grade, allowing students to build essential spatial reasoning and problem-solving skills. After geometry, moving on to pre-calculus is a natural progression. Pre-calculus covers advanced algebraic and trigonometric concepts, which are the building blocks for understanding calculus.

Advanced Placement (AP) Calculus

Two primary AP calculus courses are available, each offering a unique pathway to calculus proficiency:

AP Calculus AB and BC

AP Calculus AB covers differential and integral calculus, typically equivalent to the first semester of a college calculus course. AP Calculus BC includes all of AB's content plus additional topics such as sequences, series, polar functions, and more, often equivalent to both first and second-semester college calculus.

These courses are designed to provide a rigorous study of calculus concepts, preparing students for college-level work and potentially earning college credit.

Dual Enrollment

Many high schools collaborate with local colleges to offer dual enrollment courses. These allow students to take college-level calculus courses while still in high school. This not only provides advanced learning opportunities but also saves time and potentially money on college coursework.

Self-Study

If your school does not offer calculus courses, consider self-studying using online resources, textbooks, or video lectures. Popular platforms like Khan Academy and Coursera offer comprehensive calculus courses that can supplement your learning.

Planning with Your Guidance Counselor

Your school's guidance counselor can provide invaluable advice based on your school's curriculum and help you plan your course schedule effectively. With their guidance, you can ensure that you are on track to take calculus in high school.

Multivariate Acceleration: Advanced Options

If you're serious about accelerating your math studies, you can take calculus 3 (multivariable calculus) during the summer. This would allow you to take calculus 3, followed by differential equations and abstract algebra before even beginning college. The key to this acceleration is consistent focus and strong foundational skills.

Conclusion

By following these steps and maintaining a strong focus on your math courses, you can successfully prepare for and take calculus in high school. Whether you choose AP calculus, dual enrollment, or self-study, the pathway is there for you if you are willing to put in the effort. Embrace the challenge and open up a world of advanced mathematical concepts and opportunities.