6th Grade Math

• Math

  What is math? Math is a language from which most of the students gets fear. It can define, as the study of measurement, properties and relationship of quantities using Numbers and symbols. More precise, we can say that it is the study of numbers ... Read More

  • Number Sense

    As a child many have difficulty to understand maths. It may be due to the lack of common sense. There is a way through which the children can love maths by providing it the knowledge of numbers using real world examples. This is all about th... Read More

    • Real Numbers

      We all know that numbers are something which can be counted. It gives us the idea of how much quantity of any object is present. We use numbers very commonly in our day to day life but never realize that what type of number is it!
      Real ... Read More

      • Rational and Irrational Numbers

        Numbers appear like dancing letters to many students as they are not able to distinguish between different categories of numbers and get confused in understanding their concepts. Number family has numerous of siblings a... Read More

        • Rational Numbers

          We all know that real number is something which exists in nature as real. Rational number is a part of it. Rational number is all about expressing the numbers in Fractions or Decimals. Let us study more about it in this section.
          
          ... Read More

          • Properties of Rational Numbers

            Rational numbers are terminating or recurring decimal numbers written in the form of fraction $\frac{p}{q}$ in which 'p' and 'q' are integers and the denominator 'q' not equal to zero.
            
            Let a,b,c be three Rational Nu... Read More

          • Operations on Rational Numbers

            Rational numbers are terminating or recurring decimal numbers written in the form of fraction    $\frac{a}{b}$ in which 'a' and 'b' are integers and the denominator 'b' not equal to zero. The operations performed on a ra... Read More

          • Rational Numbers on a Number Line

            Rational numbers are terminating or recurring decimal numbers written in the form of fraction $\frac{a}{b}$ in which 'a' and 'b' are integers and the denominator 'b' not equal to zero. The numbers from -$\infty$ to +$... Read More

    • Fractions
      A fraction is a number expressed in form of $\frac{a}{b}$, where the numerator is 'a' and the denominator is 'b'. Fractions are of two kinds: like fractions and unlike fractions. If the denominators of the two fractions are same, then it is... Read More
      • Reducing Fractions
        Fractions can be written as $\frac{p}{q}$, where ‘p’ and ‘q’ are whole Numbers and q ≠ 0.  The fractions can be called equivalent when we find that the fractions in their lowest form are equal. If the lowest form of the fractions i... Read More
        • Simplifying Fractions
          The Fractions are numbers which can be expressed in form of $\frac{p}{q}$, where ‘p’ and ‘q’ are whole Numbers and q ≠ 0. The fractions are called like fractions when we find that the denominators of the fractions are same. Here... Read More
      • Comparing Fractions
        Fractions are the Numbers which are expressed in form of $\frac{p}{q}$, where ‘p’ and ‘q’ are the whole numbers and q ≠ 0. In this session we are going to learn about comparing Fractions. To compare fractions, we first see that al... Read More
        • Equivalent Fractions
          A fraction is the number which is expressed in form of $\frac{a}{b}$, where ‘a’ and ‘b’ are whole Numbers and ‘b’ ≠ 0. Now we are going to learn about equivalent Fractions. If we have a pair of fractions, which when converted to ... Read More
      • Subtracting Fractions
        Fractions are the Numbers which we can write in form of one number divided by another number. Here we express it as $\frac{p}{q}$, so we write ‘p’ as the numerator and ‘q’ as the denominator. We know that all the mathematical op... Read More
      • Converting Fractions
        The Fractions are numbers which can be expressed in form of $\frac{p}{q}$, where ‘p’ and ‘q’ are whole Numbers and q ≠ 0. The fraction can be converted into many other number forms of number system.
        
        Converting fraction into ... Read More
        • Converting Fractions to Percents
          All fractions are the Numbers which are written in form of numerator divided by the denominator i.e, $\frac{a}{b}$.  Here we have 'a' as the numerator and 'b' as the denominator. In order to write any fraction as a pe... Read More
        • Convert Fractions to Decimals
          Fractions are the Numbers which we can written in form of one number divided by another number. Here we express it as $\frac{p}{q}$, so we write ‘p’ as the numerator and ‘q’ as the denominator. Decimals are the represent... Read More
        • Converting Fractions to Scientific Notation
          Fractions are the Numbers which we can written in form of one number divided by another number. Here we express it as $\frac{p}{q}$, so we write ‘p’ as the numerator and ‘q’ as the denominator. Scientific nota... Read More
    • Decimals
      Numbers can be of many forms, decimal number is one of such forms. In Math decimals holds a very important Position. The decimals can be distinguished in many ways. The decimal number may refer to the decimal number system which holds a base... Read More
      • Terminating Decimals
        Numbers which contain decimal Point are known as Decimal Numbers. The decimal number system has a base or radix value of 10 which expand from 0 - 9. Decimal numbers has two parts: integer part and fraction part separated by a Poin... Read More
      • Decimal Notation
        Numbers can be of many forms, decimal number is one of such forms. In Math, decimals holds a very important Position. Numbers which contain decimal Point are known as Decimal Numbers. All whole Numbers are decimal numbers but all dec... Read More
    • Ratios and Proportions
      A Ratio is nothing but two quantities compared with each other. The quantities to be compared should be of same unit. Since two similar quantities are compared in a ratio it does not have any unit. The ratio is written with : s... Read More
    • Percentages
      Percentage means out of 100, which means per 100. The word percent means for every hundred, we say that the percent is the fraction with the denominator 100. In order to get the result in form of percentage, when the figures are given in ... Read More
    • Numbers
      A number can be taken as a mathematical object which we generally use for counting and measurement purposes in different areas. Numbers are taken as input in different procedures of mathematical operations and their output produced on the oth... Read More
      • Integers
        Numbers are taken as input in different procedures of mathematical operations and their output produced on the other side is also a number. Numbers are of different types. Some of them are Natural Numbers, whole numbers, integers, fractions,... Read More
    • Significant Figures
      Significant figures can be defined as digits which are used to express a number with desired level of accuracy. It generally describes the uncertainty in the value and hence used to find accuracy of number. The significant number ... Read More
  • Geometry

    Geometry is defined as the branch of mathematics which is concerned with the studies of the problems related to shape, size, position of figures, construction, measurement of angles sides, etc. In other words, it can be said as a science conc... Read More

    • Fundamentals of Geometry
      Geometry is branch of mathematics that deals with the shapes, relative positions of the shapes and properties of space. The word Geometry has been taken from the Greek words ‘geos’ meaning earth and the ‘metron’ meaning measur... Read More
      • Line
        A Line is a shortest path between the two points that is straight, infinitely long and thin. In the coordinate plane, the location of a line is defined by the points whose coordinates are known and through which the line passes to an infinitely ... Read More
        • Perpendicular Lines
          A line is the Set of infinite points which join together to form the line. A line extends in both the directions and so we say that it has no fixed length. When we say that two given lines are perpendicular lines it means that the... Read More
        • Parallel Lines
          A line is the Set of points which extend endlessly in both the directions. We say that a line has no fixed length and so it cannot be drawn on a plane. We say that a pair of lines is parallel line if they are at equal distance at all t... Read More
      • Plane
        Plane Geometry contains all shapes like lines, triangles and Circles. Planes are basically shapes which we can draw on a flat surface. Plane is two dimensional forms which contains points and line segments. We can say that plane is flat surface... Read More
      • Line Segment
        In Geometry, line segment is the part of the line that has a fixed length and two end points. If we talk about a line, it is the group of the points which goes in both the directions endlessly, so it does not have fixed length and the start... Read More
      • Angle and Angle Pairs
        If two rays, start from the same starting Point and goes in different directions, then the distance between the two rays is termed as an angle. The unit of measuring an angle is called degrees, so we say that angles are measured... Read More
        • Types of Angle
          A structure or shape which is formed by two line segments and which is obtained from common Point is known as angle. An angle is formed by joining two rays, which has a joining Point called vertex. There are different types of angle: a... Read More
        • Special Angles
          In the family of special angles in Geometry, we come across many angles beside acute, obtuse, right, straight and other. In special angle, we will study about supplementary and complementary angles. Moreover vertical opposite angles, a... Read More
    • Triangles
      Triangle plays a very important role in the field of Geometry. Triangle is a geometrical shape which consists of three sides and three angles. The sum of the angles in a triangle is 180 degree. The sides of the triangle may or may not be th... Read More
      • Classifying Triangles by sides or Angles
        We know that a triangle is a Polygon which has three sides, 3 angles & 3 vertices. Now the Triangles can be classified further on the basis of the length of their sides & also on the basis of their angle measure.... Read More
    • Perimeter and Area
      The term perimeter and area are related to the two dimensional  closed figures. Perimeters and areas can be calculated for any closed figure no matter if they have their boundaries in form of curves or in the form of the Combination o... Read More
      • Area of Triangle
        A Polygon is formed by joining three or more line segments and producing the closed figure with the help of the line segments. If we have only three line segments joined to form a figure, we name it as triangle, so a triangle is a polyg... Read More
      • Area of Parallelogram
        A Parallelogram is a Combination of two pair of Parallel Lines. Opposite sides and opposite angles of a parallelogram are equal in measure and we can calculate area of parallelogram by using following formula –
        Area of parallelogr... Read More
    • Circles
      Circle is a round shape Geometry like coin shape, tyre shape etc. Now we discuss different circle formulas and their uses-
      Diameter of circle = 2 * radius,
      
      Suppose we have a circle, whose radius is 7 inches, then-
      Diameter of the circle = 2... Read More
      • Parts of Circles
        When we study Geometry, and look at the Circle, we say that the circle is a round figure, which has its boundary at equal distance from a Point called Centre of the circle. If we look at different parts of the circle we use the terms ce... Read More
    • Polygons
      Polygons are the closed figures, which are formed by three or more line segments.  We say that the Line Segment is the part of the line which has the fixed length and the fixed end points. In polygon Geometry, we will learn about the different ... Read More
      • Special Quadrilaterals
        Quadrilaterals are the special type of polygons which are the closed figure formed by joining 4 line segments, sometimes they may be equal and sometimes not, depending upon the type of quadrilateral it is. Here we are talking abou... Read More
        • Parallelogram
          We must know that the parallelograms are the special types of quadrilaterals. We must know a parallelogram is a special type of quadrilateral, which we can also say that it looks like a tilted Rectangle. It directly indicates that the angl... Read More
    • Right Triangle
      Right triangle is a term which almost everybody had used or is using in different situations like construction business, science and technology, aeronautics etc. A right triangle or right-angled triangle is a triangle in which one of the ... Read More
    • Math Unit Conversions
      Math unit conversions include inter conversion of units of length, mass volume, are time etc. One unit can be converted into other unit by use of conversion factor. This conversion factor is actually a constant value. When we multi... Read More
  • Analytical Geometry

    Analytical Geometry is the part of the Algebra. It is basically concerned with the points, lines, circles, and other shapes that are the part of the geometry. In analytical geometry points are defined as the coordinate of (x,y) and... Read More

    • Equation of a Line
      The equation of a line in Slope Intercept Form is written as shown as: y = m x + c,
      Where ‘m’ is the Slope of the line which is also named as gradient of a line and ‘c’ is named as the y- intercept of the line.
      The parameters used i... Read More
      • Slope of a line
        There are number of forms of the equation of a line like the intercept form, the general equation of a line, the normalized equation, the Point slope equation, Slope intercept equation etc.
        The equation of a standard line is given as
        y... Read More
  • Algebra

    Algebra is an important branch of mathematics in which we deal with several types of problems. These problems may either related to constants or variables. It is an interesting part of Math, and in this we mainly concentrate on "how to solve Numb... Read More

    • Introduction to Algebra
      Algebra is that branch of mathematics, which includes the study of the expressions containing the variables and the constants. Here we are going to learn about Introduction to Algebra. While talking about Intro to Algebra, we Mea... Read More
      • Cubic Equations
        The polynomials can be of the following types: linear polynomial, quadratic polynomial and the cubic Polynomials. If we talk about the Cubic Equations, we say that the standard form of the cubic Equation is ax³ + b.x² + cx + d = 0, where... Read More
    • Algebraic Expression
      In Algebra, we deal with Relations where some of the values are fixed while others are variable.
      The relationship between these fixed & variables values that we study in algebra lead us to what we call algebraic expressions. So, we... Read More
    • Progression In Math
      Progression in maths can be defined as sequence of terms that increases in a particular pattern. There are different types of progression in Math which are mentioned below:
       
      Arithmetic progression
      Geometric progression
      Harmonic ... Read More
    • Foil Method
      In Algebra, to multiply two binomials a method is defined called as ‘FOIL’ method. FOIL stands for, first, outer, inner and last term. Here,
      First means initial terms of each binomial are multiplied together.
      
      Outer means initial term of ... Read More
  • Algebra 1

    Algebra 1 is part of algebraic mathematics which can be define as Algebra 1 is a branch of mathematics in which we represent the components of a specified Set or the numbers by use of symbols, alphabetical letters to express general relation... Read More

    • Solving Equations
      Solving Equations is the process of finding the values of the variables or unknown quantities that are satisfied by the condition defined in the equation. An equation is described as the Combination of the variables and the values, ... Read More
    • Linear Equations

      A linear equation is a very important topic of Algebra. It is necessarily an algebraic equation which may consist of a single variable and constant or product of two or more constants. It may consist of more than one variable.
       

      ... Read More
    • System of Equations

      A System of equations is basically a collection of Linear Equations and includes the same Set of the variables in each and every equation of the system. This system of equations is also known as the Linear System. For instance:

      ... Read More

    • Radicals

      Radical is a Latin word that has the meaning of roots and sometimes it is also known as radix in mathematics. Radicals are used to define the root of the algebraic function or other Functions of abstract Algebra. Radicals Math are used for m... Read More

      • Unlike Radicals
        In mathematics Radicals are denoted by a symbol '√' which is put over a number. This number is called radicand. Radicals can be of two types. One is like radical and other is unlike radical. This expression is used to denote the root sig... Read More
      • Like Radicals
        Radicals are root expressions of any number like Square root or Cube root. They are very important in understanding square roots, cube roots.
        Radicals which have same index and same radicand are called as like Radicals. They should be in ... Read More
    • Interest
      In general we can say that interest is the money we pay for borrowing money from someone else. Here we will discuss what is interest? We will first study about "simple interest”, to understand this we we'll take an example.
      Suppose there are t... Read More
    • Profit and Loss
      When we buy a thing by paying some money and sell it back, then definitely we will be in either in profit or loss. This profit and loss depends on selling and cost price. The 'cost price' is that cost which is paid for purchasing an item... Read More
    • Time Math
      Solving times in Math means to calculate amount of time spent by doing addition and subtraction or converting time from one unit to another using multiplication and Division Operations. For doing conversions we need to learn converting factors... Read More
  • Probability and Statistics

    Probability theory provides a structure or model of certain real world situations that provide very useful understanding and insight about making predictions.
    Here we are talking about the Statistics in mathematics. Statistics is the collecti... Read More

    • Probability

      In statistical mathematics we perform various tasks to accomplish the calculations which are related to the possibility of the event. In general aspect probability is used to describe the process of behavioral or logical estimation, which dep... Read More

      • Sets
        A Set is the collection of objects called elements of the set. When we talk about sets, it is the most elementary building block used in mathematics. Once sets are introduced  one can compare them, define operations similar to addition and multipli... Read More