In addition to the list of formulas that have been mentioned so far, there are other formulas that are frequently used by a student in either geometry or algebra.
When we talk about formulas, we expect complex expressions and numbers and exponents! Formulas actually make it easier for students to solve and understand the concepts of mathematics usually introduced to them from lower. Here is a list of a few important formulas that students from different grades apply in the classroom.
Formulas provide a method of solving problems and they also make a student sharp, focused and ready to face real world problems.
Sure, math problems can be solved without formulas. However, the process of obtaining the solution to a problem may involve many more steps when compared to the application of a formula to the same problem, and solving it in fewer steps.
Even though math started with counting numbers, complex formulas were known to many ancient civilizations as they needed to build monuments, measure land, keep a track of commerce and so on. However, Pythagoras and his formula for the hypotenuse or even Euclid are a couple of Greek mathematicians whose formulas have become famous!
Whether it is algebra, geometry or arithmetic, there are formulas for all these branches of mathematics.
The method to get those formulas ingrained is to understand a concept, and understand why the final form of the formula is the way it is written. Adding to the clarity about the why and how a formula is expressed, practice, the golden rule, is always the best option to remember a formula.
It’s common to find formulas in the textbook that are the backbones of different math concepts. There is also a possibility of deriving or simply arriving at a formula from known information, especially in algebra and geometry.
The most famous of mathematical relationships is the \( E=mc^2 \), which was proposed by Einstein. Euclid, Euler and Pythagoras are other mathematicians who have formulas named after them.
Formulas provide a direct way of solving problems and are not shortcuts. Even though there could be alternate methods of solving problems, using a formula and substituting the values in the expression, could be a quicker and a more efficient way to obtain the solution.
There is no fixed number of formulas for every grade as the number of formulas may vary according to the math concepts related to a particular grade, starting from the grade four.
The application of formulas starts from grade 4 as in the lower grades an introduction to formulas with unknowns may seem difficult to process by the student.