Essential Math Concepts
Introduction
Mathematics begins with counting. The early records of counting go beyond 50,000 years. Fingers and Tally marks substituted by Numbers we use now are the foundations of this subject. It is believed that every human being is born with an innate sense of numbers which makes mathematics an integral part of our daily lives. Basic mathematical concepts are usually intuitive. Our inborn knowledge of space (geometry), shapes and structures (mensuration and algebra), change (analysis) grows as we mature. Any child can compare between shapes and solid objects, compare the places they have been to, and choose the bigger pile of chocolates among the lot. That makes us conclude that no one is bad at math!! We just have to find a way to encourage their curiosity and provide the data that enriches it.
Importance of Maths
Basic mathematical concepts are just the ways to bring order to chaos. For example, the addition of two numbers is a simple concept, but repetitive addition of the same number – not so simple, it’s chaotic!! Then we have an urge to question, “how do we solve this?”. The answer is simple; we just use another basic concept, Multiplication. Addition, Subtraction, Multiplication, and Division are the essential concepts we need to know to be able to do any math.
- Knowing the essential concepts helps us compare, understand and analyse anything we see and everything we know.
- It improves our mental discipline, improves our thinking, and makes us logically sound.
- It helps us connect the dots between the things we know and the things we are learning.
- Most of all, mathematics increases our problem-solving capability, and that boosts our confidence.
Learning the concept of Multiplication instead of just memorizing the tables can make us remember them better. We can learn division because it’s fun to share sometimes. Subtraction helps us measure the change and compare. We have to learn addition because, how else are we going to know what we have to pay at the market?
Mathematics is an integral part of human life. Any stream we choose to study or anyone we want to be, knowing the essential concepts is a must.
Explore all Math topics
- Geometry
- Operations
- Numbers
- Trigonometry
- Area of Rhombus
- Vertically opposite angle
- Area of Triangle Coordinate Geometry
- Area of a Trapezium
- Volume of Cuboid
- Area of Octagon
- Area of semicircle
- Area of square formula
- Area of square using diagonal
- Area of a cube
- Area of isosceles right triangle
- Area of equilateral triangle
- Area and perimeter of circle
- Surface area of frustum
- Area and perimeter of square
- Area of regular hexagon
- Area of a segment
- Area of hollow circle
- Lateral surface area
- Volume of pyramid
- Chord of a circle
- Reflex Angle
- Orthocentre
- Corresponding Angles
- Circumcenter of a Triangle
- Adjacent angles
- Concentric Circles
- Perimeter of Triangle
- Centroid formula
- Segment of a Circle
- Hollow Cylinder
- Straight Lines
- Perimeter of a Triangle
- CSA of cuboid
- Curved Line
- Altitude of a Triangle
- Coordinate Geometry Formulas
- Angle between two lines
- Angle sum property of triangle
- Collinear
- Convex Polygon
- Perimeter of Semicircle
- Incentre of a triangle
- Perpendicular bisector
- Square Shape
- Number of diagonals in a polygon
- Area of hollow cylinder
- Volume of hemisphere
- Linear pair of angles
- Types of lines
- Concurrent lines
- Cross sectional area
- Volume of right circular cone
- Area of scalene triangle
- Area of a Circular Ring
- Area of rhombus
- CSA of cylinder
- Area of quadrilateral
- Total surface area of cone, curved surface area of cone
- Coordinate geometry
- Surface area of hemisphere
- Mensuration formula
- Sum of Geometric Progression
- Sum of infinite AP
- Sum of Odd Numbers
- Linear equations in one variable
- Pair of linear equations in two variables
- Cube root of 3375
- 512 cube root
- Factors of 70
- Factors of 5
- Cube root of 4
- Sum of roots, product of roots
- Root 6 value
- Cube root 1 to 20
- Profit and Loss questions
- Unitary method
- Quadratic equation questions
- (a-b)^3
- Factor theorem
- Unitary method questions
- Ratio and proportion tricks
- log 0 value
- Factorisation
- How to use log table
- Cube of 4
- Exponential form
- Zero polynomial
- Degree of polynomial
- How to find square root easily, square root tricks
- Algebraic identities
- Profit loss formula
- Root 7
- How to find nth root of a number
- Cube roots of unity
- Root 4
- Table of 2
- Table of 5
- Table of 6
- Table of 13
- Table of 14
- Table of 15
- Table of 16
- Table of 19
- Table of 20
- Square root of 20
- Multiples of 7
- Factors of 15
- Factors of 20
- Factors of 18
- Factors of 120
- factors of 30
- Factors of 16
- factors of 35
- factors of 8
- place value system
- factors of 6
- factors of 49
- factors of 23
- lcm and hcf questions
- find the sum of first 8 multiples of 3
- prime factors of 12
- distinct prime factors
- 45000 in word
- proper fraction
- types of fraction
- like fraction
- unlike fractions
- mixed fraction definition
- descending order
- ascending order and descending order
- ascending order
- even numbers
- smallest composite number
- properties of rational numbers
- sequence and series
- graphical representation of data
- face value of a number
- roman numbers 1 to 50
- consecutive even numbers
- types of numbers
- relationship between mean median and mode
- measures of dispersion
- consecutive odd numbers
- factors of 72
- increasing order
- sum of factors of a number
- properties of whole numbers
- factors of 25
- difference between rational and irrational numbers
- factors of 56
- composite odd number
- factors of 48
- 7 divisibility rule
- table of 4
- factors of 42
- 7 decimal fraction
- cardinal and ordinal numbers
- 9 table
- common factor
- mixed fraction example
- decimal number system
- difference between percentage and percentile
- millions to lakhs
- value of i
- Place value chart
- 1 million
- Relatively prime
- Is 101 a prime number
- LCM by prime factorization method
- Sum of infinite ap
- Smallest whole number
- Smallest positive integer
- International place value chart
- LCM of three numbers
- Divisibility rules
- LCM of fractions
- How to find lcm of two numbers
- Divisible by 7
- Divisible by 11
- Relation/difference between hcf and lcm
- LCM of 8 and 12
- Divisibility rule of 8
- Divisibility rule of 9
- Divisibility rule of 4
- Divisibility rule of 3
- Divisibility rule of 6
- Divisibility rule of 13
- How many 3 digit numbers are divisible by 7
- Factors of 125
- Divisibility of 8
- Divisibility rule of 17
- Number names
- Sum of ap
- GP formula
- Prime numbers 1 – 50