Math Tuition Center Singapore - Bestowing Quality Education to Students!

The subject of Maths need an in-depth understanding of the concepts and formulas applied to solve a certain problem. Being a prime subject it holds a lot of weight age for students. Scoring good grades in the subject is not that easy if you are not clear with the concepts. A reputed tutor though can help you in your academics provided they listen, understand and solve your doubts or problem areas. In school, there is a large group of students and catering to each and everyone's problem and clearing their doubts become difficult for teachers. This is where the tuition centres come into the picture!
Experienced and professional Maths tuition teachers are associated with various renowned tuition agencies or centres. Having years of relevant experience in the field of teaching and training, the tutors are well aware of the tactics to handle learners from all age groups as well as the methods to tackle their issues. By handing over group assignments and individual tasks, tutors find out the strengths and weaknesses of the students and allot them guidance to solve or recover from the improvement areas.

These private tutors handle small group of students thus, are able to focus their attention on each and every one. How students are benefited out of it? Group activities help learners to boost their confidence whereas individual tasks bring out their strengths and weaknesses. Teachers can then identify the areas where a student needs attention. This enables them to clear the doubts of the learners with timely and accurate guidance. Students thus, gain clarity on the concepts as well as an understanding of applying various formulas as and when required in solving a sum. A student's performance not only bothers them but also, affects their teachers and parents. Parents want to improve the grades of their children but, are unaware of their problems. This is where a maths tutor offers help. Having noticed the issues faced by a student, they consult the parents and together create an optimistic learning and training environment which brings positive results for children both academically and personally. Having a good understanding of Maths, improve the analytical skills of a student and make them good decision-makers in future. Also, good guidance helps improve the interpersonal skills of children. Quality time spent with tutors and parents make an affirmative impact on student's mind and encourage them to do well in their exams. Having a Maths tuition teacher in Singapore is a common practice but, make sure to look for an experienced and professional tutor in order to give the best training to your children.

Best Maths Tuition in Singapore

At Miracle Learning Centre, we teach you interesting stuff in math tuition. In one of our previous math tuitions, we had discussed about quadratic equations. In this math tuition, we are going to further develop our understanding on the topic. If you have not gone through the previous article about quadratic equations, it is highly recommended that you do so before going through this one.
Let us get started with this math tuition without wasting any further time. Please recall the standard form of the quadratic equations which is:
ax2 + bx + c = 0
and the sridharacharya formula for solving quadratic equations which goes as follows:
x = (-b± √(b^2-4ac))/2a
Converting quadratic equations to the standard form
Some quadratic equations, at first glance, might not look like to represent the standard form which is:
ax2 + bx + c = 0
In this section of this math tuition, we are going to see how to tackle such equations and write them in the standard form.
Consider the following equation:
8- 3x2 = 48x
To write it in the standard form, we will first bring all the terms on one side of the equation. Once we do that, the equation becomes;

8 - 3x2 - 48x = 0
Now, we are going to reorder the terms i.e. we are going to write the term which has x2 as coefficient as the first term, write the term which has x as coefficient as the second term and write the constant part at last. Once we do that, the equation becomes:
-3x2 -48x + 8 =0
Now, we can see that the equation is in the standard form. In this case, a =-3, b=48 and c=8. It is always a good practice to write the quadratic equation in standard form before working with it.

The Discriminant

In the sridharacharya formula, the part (b^2-4ac) is known as the discriminant . From the value of the discriminant, we can predict the properties of the roots of the equation.
If the value of the discriminant is positive, then the equation must have 2 real solutions. The word “real” here implies the fact that the roots can be any number including decimals.
If the value of the discriminant is 0, then the equation has only one real solution. The word “real” has the same implication – the solution is a real number.
If the value of the discriminant is negative, then there are no real solutions to the equation. In this case, there are two complex solutions. Complex solutions means the solutions are complex numbers.
Consider the following equation:
For the above equation, a = 1, b = -1 and c =-6.
As a result, the discriminant, b^2-4ac = 25 > 0. Since the discriminant is positive, the equation has two solutions.
Indeed, if we plugin the value to the sridharcharya formula, we can see that the solutions are 3 and -2.
Now, consider the following quadratic equation:
x2 – 4x + 4 =0
In this case, a =1, b =-4 and c =4. The discriminant is this case is 0. So we can conclude that the equation has one real solution; the solution is 2 in this case.
For the third scenario, consider the following equation:
x(10-x) -40 =0
Once we simplify, we get the following equation:
10x –x2 – 40 = 0
-x2 + 10x -40 =0
In this case, a =-1, b=10 and c=40. The discriminant is this case is -60 < 0. As a result, this equation has complex numbers as solutions. The solutions in this case are 5+√15i and and 5-√15i where I represents √-1 and it is known as the imaginary part. We already have a tutorial about imaginary numbers and you can use that tutorial as a starting point for understanding complex numbers.
So, in this math tuition, we explored quadratic equations in more detail. We also learned about the discriminant and how we can use the value of the discriminant to predict the type of the roots of a quadratic equation. Once you learn about coordinate geometry, you will see how the graph of a quadratic equation looks like. If you have any difficulty in understanding the topics discussed here, feel free to reach out to your math tuition or your peers. A solid understanding of the topics discussed in this article is required in order to do well in math and to understand a lot of other topics which involve quadratic equations. We hope you enjoyed the math tuition from Miracle Learning Centre. Look out for the next math tuition from Miracle Learning Centre.