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Maths

Important Math Topics

Written by Prerit Jain

Important Math Topics

Important Math Topics

Mathematics plays a more significant role in our lives than we realize. This applies not only to counting and addition but also to how we think about and solve problems in our daily lives. It is important to recognize that math is part of our life and can be found in everything around us, from how we pursue and understand the universe and even the measurements that we use when cooking a meal.

That being said, mathematics is not a favorite subject of a lot of students because of how complex it is thought it was. It was a study of patterns and logic, maybe a little difficult to understand but is an essential part of our day-to-day lives. Without mathematics, we wouldn’t even be able to understand the fundamental principles underlying how the world works. So let’s explore math further and learn what it is really all about.

What is Math?

The word mathematics comes from the ancient Greeks and is derived from the word máthma, meaning “that which is learned”. To define mathematics is a subject that deals with numbers, shapes, logic, quantity, and arrangements. Mathematics teaches us to solve problems based on numerical calculations and find solutions. It deals with logical reasoning and quantitative calculation. It is also described as an area of knowledge including topics relating to numbers, formulas and structures, shapes and the space in which they are contained, and quantities and their changes.

Mathematical choices are established by deductions from carefully chosen definitions and axioms. It is a subject that seeks out patterns to formulate new conjectures, and it’s done through the study of structure, space, and change.

Mathematics cannot be ignored as it is an essential tool across fields, especially natural sciences, engineering, medicine, and even the social sciences. Applied science, the branch that is particularly concerned with the application of the knowledge acquired from the subject of mass to other fields, is how mathematical discoveries are made.

Although one of the main purposes of learning mathematics is its application across fields, mathematicians also study mathematics for its own sake. This is called pure mathematics, and the concepts using pure mathematics can be applied in order to make new discoveries later on.

History of Math

Describing math as simply numbers and formulas would obviously be wrong, as it’s the application of logic and science to solve problems relating to quantities, location, distance, and so much more.

How did the world of math really come to life? We really don’t know for sure! But we can let our imaginations run wild to deduce how it might have started. Discoveries are made when the need for them arises, and prehistoric humans needed to carefully hunt for food to eat, so we can assume that certain mathematical principles were discovered or created when activities of daily life required them to be. 

This could’ve started a routine of tasks that required mathematical abilities for them to go forward, giving rise to the standard of measurement or basic units of measurement which we need to keep track of.

Prehistoric humans needed additional deduction and basic mathematical functions to keep track of the activities required for survival. Over time, this might have given rise to the discovery of advanced concepts in mathematics, such as algebra, geometry, calculus, and trigonometry!

We know that inventions usually arise out of necessity, which means that early humans required basic mathematical functions such as addition, multiplication, subtraction, and division that arose thousands of years ago. The requirement emerged across locations, including in places like China, India, Mesopotamia, and Egypt.

One of the first clay tablets with maths being used dates back to over 4000 years ago, all the way in Mesopotamia. Historians have even found written texts showcasing maths on papyrus from Egypt. It is safe to say that some of the foundations of math were discovered in the oldest societies in the world due to requirements and necessity.

Maths grew in terms of advancement; it is traced back all the way to Greece over 2500 years ago. Most experts have even come to agree that it is in Greece that mathematics became an organized science. Since then, maths has been growing in terms of discoveries as people and scientists are expanding their understanding of the subject and how it relates to the world around us.

Basics of Math

We all know that mathematics is the foundation for a lot of key concepts in science as well as life in general. Maths provides the structure to probably implement calculations like Addition, subtraction, multiplication, division, and much more.

Over time through the study and logical reasoning, the evolution of maths has emerged from counting and calculations through the systematic study of moving and physical objects and shapes. 

To grasp the advanced side of math one must really understand the basics of maths which is essential to build a solid foundation. 

Especially important for students who must gain a clear understanding of all the basics of maths and the fundamentals of mathematics in order to proceed to learn the more complex and advanced concepts.

The basics of mathematics are the fundamental and key concepts like basic arithmetic operations or calculations such as addition, subtraction, multiplication, and division. These concepts are essential and are taught to us in primary classes. 

Proceeding forward students will learn concepts like algebra, geometry, factors, ratios, etc in higher classes.

How to learn Math?

The world of mathematics is wide and exciting, and all of it can be intriguing to a lot of us. Learning mathematics isn’t very easy. Some ways we recommend you learn mathematics include:

1. Internet resources

Getting through learning something new can be a little difficult. The world of the internet has provided us with multiple resources that can be used to our own benefit. Top educators and teachers across the internet provide valuable information to students who are looking to learn more about Maths. Students can enroll in these classes, which can be free of cost or for a charge of some price.

2. Independent study

With enough material available on the subject of maths, students who are confident in their abilities to navigate through the subject by themselves can immerse themselves in the self-study process. Those who are interested can avail of the books across libraries and online, with reputed authors putting together a structured course of action for students who want to learn by themselves.

3. Learning from someone who’s already learned it

Whether it is online or offline, it is always best to learn directly from someone who has mastered the subject and can provide guidance through the tricky concepts of mathematics. Many experts in the subject are available to students who are enthusiastic enough to learn under the guidance of teachers. You can scout for educators in your own locality or find an array of options for yourself online as well.

4. Wiingy 1:1 Tutoring

Wiingy provides the best online tutors for students, who are hand-picked using our specialized screening and evaluating process. Whether your student needs revision classes, homework help, boost current marks or wants to study one particular topic, Wiingy has got you covered. Students with specific needs in the subject of Mathematics can simply enroll in Wiingy, where they will receive personalized 1:1 instruction, have their doubts cleared, and improve the concept’s accuracy.

Advantages of learning Math

In the world that we live in currently, it is absolutely impossible to eliminate the influence that mathematics has on us. One can choose to ignore the benefits that the subject can give, but the advantages are tremendous to anyone who chooses to refine their skills in maths. Here are some advantages of learning mathematics:

1. Improves problem-solving ability

Developing mathematics skills will help boost confidence. This in turn helps increase the ability to solve real-time problems, as mathematics equips you with the skills required to make more calculated and informed decisions in various stages of life. It provides you with the knowledge required to find solutions. It also encourages you to think and draw the perfect pathway to come up with an applicable solution.

2. Develops analytical thinking

The maths project allows you to solve a problem with an analytical approach. Through this, you will be able to collect data, break down the data, and carefully analyze it while systematically solving the problem in the most rational manner. Understanding mathematical data to arrive at a logical solution will not only help us become smarter but also apply this same logic and knowledge to real-life problems to devise real-life solutions.

3. Build a career 

From simply calculating at the cash register to making scientific discoveries almost all careers quire the candidate to be equipped with mathematical skills. Basic mental arithmetic is required to keep track of assembly lines at a factory and a complex understanding of geometry is important to gauge the understanding of Engineering. No career in today’s day in age eliminates the use and importance of mathematics.

Important Math topics

Class-wise important maths topics are given below:

Important grade 1 Math topics 

The important grade 1 Maths topics are tabulated below:

Addition of Two-digit numbers Subtraction of Two-digit numbersComparing and Ordering Numbers up to 99
Consolidation of Numbers up to 120Introduction to MultiplicationNumbers up to 99
Introduction to MeasurementLines and Plane ShapesMoney
Open and Closed figures, and Solid ShapesPlaying with DataTime

Important grade 2 Math topics

The important grade 2 Maths topics are tabulated below:

Patterns Data HandlingMeasurement
MoneyAddition and SubtractionPreparation for Multiplication And Division
Mental ArithmeticShapes and Spatial Understanding

Important grade 3 Maths topics

The important grade 3 Maths topics are tabulated below:

An Introduction to 4-Digit NumbersAddition and Subtraction of 4-Digit NumbersMultiplication and Division
MeasurementScaled PictographsIntroduction to Fractions
TimeLines and Polygons

Important grade 4 Math topics

The important grade 4 Maths topics are tabulated below:

GeometryShapes & Spatial UnderstandingNumbers And OperationsMental Arithmetic
Fractional NumbersMoneyMeasurement
Data HandlingPatterns

Important grade 5 Math topics

The important grade 5 Maths topics are tabulated below:

Geometry: Shapes & Spatial Understanding Number SenseNumber SenseMental Arithmetic
MultiplesFactorsMeasurement
Data HandlingFractionsPatterns

Important grade 6 Math topics

The important grade 6 Maths topics are tabulated below:

Number SystemArithmeticGeometry
Ratio and ProportionIntroduction to AlgebraMensuration
Data Handling

Important grade 7 Maths topics

The important grade 7 Maths topics are tabulated below:

IntegersRational NumbersAlgebraic Expressions
EquationsRatio and Proportional RelationshipsInequalities
PercentagesScale DrawingsConstructions
Slicing SolidsAnglesSurface Area and Volume
Perimeter and AreaProbabilityStatistics

Important grade 8 Math topics

The important grade 8 Maths topics are tabulated below:

ExponentsScientific NotationLines, Angles, and Triangles
TransformationsCongruenceSimilarity
Linear Equations in One VariableStraight LinesSimultaneous Linear Equations
FunctionsVolumeData Analysis and Displays
Real NumbersThe Pythagoras TheoremSquare Roots and Cube Roots

FAQs

Who is the father of maths?
Because of his significant contribution to the subject of math, the Greek mathematician, Archimedes, is known as the Father of Mathematics.

 Which is correct math or maths?
Although both are correct, it only differs where they are being used.
The term “math” is used commonly in the United States and Canada. The terms “math” and “s” are used commonly in the United Kingdom, Ireland, Australia, and other English-speaking places.

 What are the four types of math?
The 4 main branches of math are algebra, number theory, geometry, and arithmetic.

What are the basic arithmetic operations of maths?
The basics of math are arithmetic operations or calculations such as addition, subtraction, multiplication, and division.

What are the basic rules of mathematics?
The basic rules of mathematics are addition, subtraction, multiplication, and division, which are the heart of mathematics, as all the calculations are based on these operations.

Is basic math easy?
Basic math is used in day-to-day life and uses addition, subtraction, multiplication, and division, which is considerably easy. 

Written by

Prerit Jain

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