8th 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

        • Rational Expressions
          Rational Numbers can form expressions when we join Rational Numbers with various mathematical operators namely addition, subtraction, multiplication and division. Rational Numbers are the numbers which are written in form of $\frac... Read More
        • Scientific Notation and Rational Numbers

          A rational number is a number which can be expressed exactly as a fraction $\frac{p}{q}$ where p and q are two integers with denominator non zero and represented by 'Q'. The addition and multiplication operatio... Read More

        • Real World Problems with Rational Numbers
          Rational numbers are the part of Real Numbers but the only necessary condition is that they need to be represented in the form of $\frac{p}{q}$, where p and q are integers and q $\neq$ 0.
          

          Real world problems ... Read More

        • Rational Expressions Word Problems

          The rational expression is an expression which is expressed in the form of two integers. The rational expression is rational because one Integer is divided by the second one. Rational expression word problems is all... Read More

    • Binary Numbers
      As we know that Binary Number System is made up of binary Numbers which has base or radix 2 and it uses the numbers 0 and 1. The mathematical operations that are done on binary numbers are: binary addition, binary subtraction, binary mult... Read More
      • binary number system, binary number systems, the binary number system, binary number system definition, number systems binary, define binary number system
        A number system is of four types: binary number system, decimal number system, hexadecimal number system and octal number system. The binary number system is also known as the base-2 number system. Binary number system represents... Read More
    • Logarithm
      Sometimes we get exponent problems like what is the value of exponent in following form: 2^x = 8, for solving this kind of exponent problem, we have to introduce a special kind of function, which is called as a logarithm. For understandi... Read More
      • Properties of Logarithms
        Logarithm is the power of a number which increases the number in order to obtain the new number. The base 10 Logarithm of the value 1000 is 3, because the base 10 raised to the power of 3 is 1000. Because if we multiply the b... 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

    • Introduction to 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 ... 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
      • Congruent Triangles
        Congruent Triangles are basically those Similar Triangles which are same in size and angle. But these triangles are flipped. According to congruent triangles definition, triangles are congruent only when all interior angles and congr... Read More
        • Test for Congruence
          There is a difference between the term similar and congruent.  Word similar means that they have same angles, but not necessary the measurements are same.
           We must know that the two figures are congruent if they have same measuremen... Read More
      • Triangle Inequalities
        In a triangle there are three sides, than any one side of a triangle is always smaller than the sum of all the two other sides is the inequalities of triangle. In just opposite case, if any one side of a triangle is always larger t... 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 Circle
        In Geometry, we study different type of shapes & terms associated with them. We know that there are some plane and some solid shapes. In plane figures some shapes may be rectilinear or curved. Rectilinear shapes are made up of line segmen... 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
        • Tangent
          A Tangent is a line that touches the curve at one Point. Basically the word tangent came from the Latin word ‘tangere’ that means to touch. The tangent just touches the curve at a point not intersect the curve. The tangent function is defined in... Read More
      • Central Angles and Arcs
        In Geometry, each and every shape makes an arcs and Central Angles; we will discuss how we evaluate central angles and arcs–
        First of all, we discuss evaluation of central angles of different geometric shapes–
        For central angle... Read More
        • Semicircle
          Semi Circle is a half round shape Geometry like half plate shape. Now we discuss different semi circle formulas and their uses–
          Diameter of semi circle = 2 * (radius / 2),
          
          Suppose we have a semicircle, whose radius is 7 inch, then-
          Diame... Read More
        • Minor Arc
          Shortest path of circumference around Geometry is called as Minor arc.Minor arc of geometry can be calculated by using the following steps –
          
          Step 1: For Minor arc, we first calculate the length of geometry and length of geometry is calculat... 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
        • Trapezoid
          Trapezoid is a type of quadrilateral which is having at least one pair of parallel sides. Other definition a trapezoid is a quadrilateral which is having four sides, out of four, one pair of sides are parallel. Other definition, in a quadrilat... 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
      • Principal Properties of Right Triangles
        A triangle is a geometric figure which is made of three straight lines and the sum of its angles is equal to 180 degree. A triangle is Right Triangle or right angled triangle if any one of its three angles is equa... Read More
    • Geometric Solids
      Geometric solid is a three dimensional space or geometric solids are three dimensional figures, which includes polyhedral, pyramids, prism, cylinder, cones, sphere, ellipsoids etc. It also includes the points, lines, shapes, and regions... Read More
      • Sphere
        In Geometry, we studied about lots of geometrical shape and figures which are formed on two dimensional planes. In the geometry some of the figures are available that are represented or formed on the three dimensional plane. A sphere is a word wh... Read More
      • Right Circular Cylinder
        A right circular cylinder has its base perpendicular to its sides. If the line joining the centers of the Circles of a given cylinder is perpendicular to the bases, and then the cylinder is known as right circular cylinder. If a ... Read More
      • Cuboid
        Cuboid is a Solid geometrical object, which is defined in 3 d, means we define cuboid in 3 dimension view and proper cuboid definition is– A solid 3 d Geometry, whose all sides are not equal means length, width and height of cuboids are not equal... Read More
      • Cubes
        Cubes in maths is a Solid geometrical shape, whose all sides are of equal length means length, width and height of cubes are of equal length. All sided (length, height and width) of cubes are defined in 3d (3 dimension), that’s why we call this so... 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

    • Analytical Geometry in a Plane
      Analytic geometry is related to the Algebra which is used to model the geometric objects, and the geometric objects contain points, straight line, and Circle. Points are represented as a Ordered Pair in the plane analytic ... Read More
      • Circles in Maths

        Analytical Maths is basically the part of Algebra, it generally deals with the points, circles, lines, etc. The other name of analytical Geometry is coordinate geometry. Here we will study about the circles in maths. To understand th... Read More

    • Straight Line
      The equation of straight lines is generally written in the form:
       Y = mx + b; or
       Y = mx + c;
      Where ‘m’ is the Slope (gradient) of a line, slope and gradient both are same term.
      And ‘b’ is the y- intercept.
      Now we see how to find the ... Read More
    • Surface, Curves and Equations

      If we talk in mathematical terms, the surface Geometry deals with the plane and smooth surfaces. “Carl Friedrich Gauss” gave this concept. In this field the vital role has been played by the Lie groups. Lie groups defin... Read More

  • Discrete Math

    Discrete Math has a wide application in the modern mathematics. Discrete mathematics is generally used in decision mathematics. In this mathematics, we study about objects, set and graphs. Before studying discrete mathematics you must ha... Read More

    • Mathematical Induction
      In Mathematical induction we find whether a given statement is true for all the natural Numbers or not. So the answer to What is Mathematical Induction is that it is basically a technique used to prove a statement or a theorem, or... Read More
      • Proof of Mathematical Induction
        In simple terms Proof of Mathematical Induction is a process typically which is used for proving of the Math statement which is true for all positive integers. Perhaps we must not get confused with the proof by mathematic... Read More
  • Trigonometry

    Trigonometry is that branch of mathematics which deals with the real life problems related to angles. Trigo means three sides, so trigonometry is basically a branch of mathematics which relates to the study of three sided figures i.e. tri... Read More

    • Angles and their Measurements
      The angle is a structure formed with the help of two rays by sharing a common endpoint known as vertex of the angle. There are also trig identities which involves the angles and their measurements. The Trigonometric Identit... Read More
    • Trigonometric Identities
      If we have an equation which contains one or more variables and it is valid for replacement of the values in which both sides of equation is defined then the equation is said to be an identity. The equalities that include the Tr... 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
    • Pre-Algebra
      In study of Pre Algebra, we come across the following types of problems and then we follow certain rules and patters to solve the Set of Pre Algebra, problems. Prealgebra includes the study of solving the mathematical expressions and getting... Read More
      • Quadratic Equations
        The polynomial which can be expressed in the form of ax² + bx + c = 0, then we say that the equation is in the form of quadratic polynomial. Here we say that a, b, c are the real Numbers and we must remember that a <> 0, since if we ... Read More
    • Algebraic Numbers
      A number which is root of a non – zero polynomial with rational coefficients is known as algebraic number.
      For example: If we have a polynomial
      ⇒3p² – 4p + 2 = 0; then ‘p’ is algebraic number because it is a non- zero Polynomials and... 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
    • Solving Inequalities

      An inequality is defined as the expression that does not have equality sign joining the terms, but has the less than or greater than signs combining them. The objective of solving inequality is to find all the possible solutions ... Read More

    • Polynomials

      If the exponent of a variable in an algebraic expression is a Whole Number then it is called a polynomial. A function p(x) of the form: p(x) = an x₀ + a₁ x + a₂ x₂ + …. + a_n, where all a₀ , a₁, a₂ , an are real Numbers and n is non zero ne... 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
    • Relations and Functions
      In mathematics Relations and Functions play a very important role. Relation can be represented in the roster form and tabular form for example a relation ‘R’ on Set A = 1, 2, 3, 4,5 defined by R = ( a, b) : b = a + 2 can also be ... Read More
    • Money Math
      Addition, subtraction, multiplication, division and various mathematical operations are used in money Math Problems. For example, we went in a mall and purchased two jeans and 2 shirts and it costs us $ 3032.35. We don’t have change in return... Read More
  • Algebra 2

    Algebra 2 consists of many topics which are especially included for students who are weak in maths as they are quiet easy. The topics under Algebra 2 are:

    1.  Equations and inequalities which consist of many principles like:

    Adding p... Read More

    • Exploring Rational Expressions
      We know that all the mathematical operations can be performed on the Rational Numbers. We say that the Rational expression is the Mathematical Expression in which we can find the rational numbers combined together with the... Read More
    • Analyzing Equations and Inequalities
      While analyzing equations and inequalities we focus on some points. For analyzing equations and inequalities we follow some points:
      1. First solve the expression.
      2. Then understand and use the Properties of Real N... Read More