4 Math Concepts & Principles You Need To Keep In Mind

Written by
Timothy Gan

If you’ve been studying math for quite some time now, or even been taking part in extra classes like JC or H2 math tuition; depending on your level of study. You would know that it is one big topic that would take weeks if not months if you were to go through every single concept under its bucket, all of which are very specific and technical.

For the average person, it can be a daunting task to try and master it all even if they had all the time in the world. But practically speaking, it is important to for everyone to keep certain mathematical concepts in mind, starting from the basics all the way to the more complex ones. With the right concepts, no math question is too big of a problem; tackling them becomes easy-peasy and youā€™ll be able to get better grades.

So, read on and discover the four math concepts and principles thatā€™ll make the learning journey for math a smooth-sailing one.

1. The equal sign is more important than you think

Among the many signs in maths, the equal sign is one that is used frequentlyĀ ā€“Ā too frequently that it is barely given significance. But if you look at it from a technical point of view, it actually is a representation of the concept of equality, which is among the many important maths concepts to exist today.

When a mathematical statement has an equal sign, it means that the statement is an equation that sees two mathematical expressions, both of which possess the same value. All in all, the equal sign or the concept of mathematical equality is a great way for you to connect expressions.

2. The value of pi

In mathematics, pi is often represented asĀ Ļ€, which translates to the ratio of the circumference of a circle to its corresponding diameter in Greek. You are probably aware that the approximate value of pi is 3.14, but it is worth noting that it is a value that is virtually infinite.

Circles are among the most basic shapes in geometry that even the youngā€™uns can identify. But to measure its area as well as its circumference, you would have to take pie into consideration. Since it is considered as an irrational number, it doesn’t have a counterpart in the form of a fraction. Pi, however, is not just limited to circles as well because Trigonometry uses it to measure triangles. Needless to say, triangles couldn’t be any more different from circles, but pi is used to measure the size of its angles.

3. Algebra and geometry

In the past, both algebra and geometry were two separate studies and completely unrelated to each other. The former studied equations while the latter studied figures on a plane or a given space.

But when the Cartesian coordinate system or the “x and y” graph was conceptualised, it integrated both algebra and geometry so you can solve equations that have the x and y variables that either represent points, circles, lines, curves, and other geometric shapes that can be depicted on a graph.

4. Imaginary numbers

While math is a very technical and particular subject, they also have the so-called imaginary numbers which cannot be found on the real number line. Yes, it sounds confusing, even the most seasoned and renowned mathematicians in the past didn’t believe it actually existed. But the value of i =Ā āˆš ā€“ 1 is actually used in real-world applications such as in particle physics, electronics, and other subcategories related to the sciences.

Conclusion

Among the many concepts and principles in math, any math teacher from your school or additional maths tuition class will probably have you keep the above-listed in mind because they’re practically unavoidable. In both classroom and real-life setting, you would definitely find use for these concepts because not only are they relevant to other mathematical elements, but to other fields of study as well.

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Published: 25th March 2022
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Timothy Gan

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