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9th 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

      • Logarithm
        Sometimes we get exponent problems like what is the value of exponent in following form: 2x = 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
        • Laws of Logarithms
          Logarithm increases the number, or we simply say it is a power of log value which changes the number in increasing order. Lets now study on the rules of Logarithm. Now suppose we have a positive number ‘x’, and this positive number is... 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

      • 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
      • 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
          • Major Arc
            Geometry has two types of arcs – one is Minor Arc and another one is major arc. Two points that make shortest path around Geometry is called as Minor Arc and two points that make largest path around Geometry is called as major arc. For calcula... 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
      • 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
        • Prisms
          A prism is a collection of 3 or more cross section objects like triangular prism is a collection of 3 cross section objects; square prism is a collection of 3 cross section objects. Now we discuss prism Geometry of all kind of prisms–
          Triangular... Read More
          • Types of Prism
            A Prism is a collection of 3 or more faces, which intersect in Parallel Lines. There are following types of prisms.
            Rectangular prisms: rectangular prisms are behaving like 3-dimension objects, which has exactly 6 faces. Rectangular pris... Read More
            • Right Prism
              A Right Prism is also a type of prism, which has two bases and these two bases are defined in such a way that one base directly above the other base and lateral faces of these right prism are of rectangular shape. Now we discuss Geometry of ... Read More
        • Pyramids
          When 3 or more triangular faces share a common vertex and make a Geometry, which is called as a pyramid. The base of a pyramid may be any triangle shape, square shape or any other Polygon shape. If base of pyramid have triangle shape, then the ... Read More
        • Right Circular Cones
          A line is used to join the vertex to the midpoint of a circular base is known as right circular cone. Right circular Cones are three dimensional surfaces having circular base and only one vertex or a right circular cone having flat ... 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

      • Introduction to Analytical Geometry
        The concept of Analytical Geometry was given by Mr. Percey F. Smith and Mr. Arthur Sullivan Gale. Mr. Percey F. Smith was a professor of mathematics in Sheffield scientific school, Yale University and Arthur Sullivan ... 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

      • Tangents and Normals

        Tangent is a straight line which passes through the curve or we can say the line touching the edge of a Circle or curve at a single Point, and never crosses it, there can be infinite number of Tangent to a circle or a curve.

        ... Read More

      • Hyperbola
        Hyperbola definition states that a line which has curve shape is known as hyperbola or we can say that both focus (a fix Point) and directrix are always in the same ratio. It is just like a conic section. Conic section looks like a cone shape ... Read More
      • Parabola
        Parabola can be defined as the conic section created by Intersection of a plane which is parallel to the generator line of surface and a Right Circular Cone. The other definition of parabola: A Plane Curve obtained by the moving a Point which i... Read More
      • Distance between two points (given their coordinates)
        The distance between two points is given by:    D = √ (dp2 + dq2);
        Where ‘D’ is the distance;
        ‘P’ is the coordinates of x – axis;
        ‘Q’ is the coordinates of y – axis;
        Where ‘dp’ is the difference be... Read More
      • Coordinate of a Point
        A number pair which represents the location of a Point in two - dimensional space is known as coordinates of a point.
        Suppose we have coordinate of a point R (5, -9) then it defines the location of points.
        Where ‘R’ is the name a... 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

      • Sets and Relations
        The collection of perfectly defined objects is a Set. Sets and Relations according to their name bear different properties. Set theory was given by “Georg Cantor”. The collection of definite Numbers is termed as elements of Sets. Lett... Read More
        • Equivalence Relations
          Relation is a branch of mathematics which plays a very important role. Let P and Q are two Sets then a relation R defined from Set P to set Q, is a subset of P X Q. Relation can be denoted in the list form and in tabular form as we... Read More
      • Logic of Compound Statements
        A statement consists of one or more sub statements named as compound statement and these sub statements are connected by one or more logical connectives. As the name suggests a compound statement refers the statement form.
        ... Read More
        • Truth Tables
          Truth tables are used for the description of data according to the different values. In digital electronics truth table are used as the Basic Terms to explain boolean algebra and Logic gates. In short truth table is used to explain the logi... 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

    • 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

      • Algebra and Functions
        If we have two Sets, and the elements of one Set is associated with the element of other set is known as Functions. Algebra and functions are very important for finding the Relations in the given sets. We can say Algebra is a branc... 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
      • 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
    • 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

      • 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.
         

      • 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

      • Data Analysis
        The data analysis is the process by which we can extract the useful information and all is happen when we pass our data through many steps, the steps are these:-
        -Inspecting the data.
        -Cleaning the data.
        -Transforming the data.
        -And la... 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
      • 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

    • Precalculus

      Precalculus is a vast concept as it covers large number of topics and other concepts. Precalculus does not include topics from Calculus but it covers the topics and concepts which will be useful in calculus. Precalculus is studied from pri... Read More

      • Exponents and Logarithms
        In mathematics, logarithm is a function or a power function which is used to increases the number logarithmically. The Logarithm of 10000 to base 1000 is 4, because 10000 are 10 to the power 4.
        We can also write as: 10000 = 10 ... Read More
      • Vectors Math
        A Scalar quantity is a quantity which only has a magnitude like mass, temperature, light, etc. On the other hand, vectors in Math are objects that have both magnitude and direction. To represent math vectors we use an arrow having a line of... Read More
      • Complex Number
        The complex numbers definition can be given as any number which can be represented in the form: x + iy, where ‘x’ is known as the real part of the complex number and iy is known as the imaginary part of the complex number. But you must kn... Read More
        • Imaginary Number
          In mathematics, there are many Numbers one of them is imaginary number. Imaginary number definition says that it is a type of number which is always less than or equal to zero whenever it is squared. Let iy, is an imaginary number when ... Read More
      • Scalar
        Scalar Math is studied in linear Algebra where real number is considered as scalar and we can also relate the term scalar math with the vectors in vector space by using the operation known as Scalar Multiplication. In this operation a scalar or a... Read More
      • Asymptote
        An asymptote is basically a line in which a graph approaches, but it never intersects the line. For example: In the following given graph of P =1 / Q, (here the x axis is denoted by ‘P’ and y axis is denoted by Q) the line approaches the p-axi... Read More
        • Vertical Asymptote
          In Asymptote the distance between the curve and line approaches to zero but it never intersect and tends to infinity.
          Let’s see different types of asymptote which are shown below:
          Vertical asymptote,
          Horizontal asymptote:
          Let’s ha... Read More
      • Precalculus Functions
        In Precalculus we study many topics which are Sets, real Numbers, complex numbers, composite and polynomial Functions, trigonometry, limits, vectors, metrics,  conic section, logarithm function, basic graphs, binomial theorem, math... 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

      • Statistics

        Statistics is one of the very important and useful fields of mathematics. In statistic we study how to do the collection of data, then how to organize, analyze and interpret data. It is simply concerned with all these things and also involves ... Read More

        • Introduction to Statistics
          The study of introductory Statistics is a Set of concepts, rules and procedures that help us to organize the numerical data in form of tables, graphs etc. It enables us to understand the statistical techniques to process it an... Read More
        • Statistical graphs
          Statistics graphs are a ways to represent Statistics data in pictorial figure because numerical figures are more noticeable and easily intelligible, leaving a more lasting effect on the mind of the observer. With the help of these sta... Read More
        • Averages
          An average of statistical data is the value which is representative of the entire data. An average represents the entire data, its value lies somewhere in between two extremes. For this reason, statistics average is called Measure of Central Te... Read More


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