7th 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

        • Irrational Numbers

          Consider the value of $\pi$. The Value of $\pi$ = 3.145926535897932384626433882795.... and so on. Here we could observe that the Decimal Place value of $\pi$ is not repeating. Similarly many kind of numbers are there in maths which ... 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

  • 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
      • Point
        The word Point is defined as the place, position or location in the space. There is no width, length and height of a point, it is also dimensionless. There is no dimension for the indication of point. Dimensionless means they do not have any vo... 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
        • Intersecting Lines
          We come across various lines in our daily life while going for the assembly sessions in the school, while standing for the ticket on the ticket counter and many such places. The lines can be of following types: straight lines, whic... 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
          • Angle Pairs Created with a Transversal
            When one line intersect two lines in one plane, then this line is known as a traversal line and it intersects two lines into 8 angles. Each angle, which is created by traversal line, is made an angle pair, which is... Read More
        • Parallel and Perpendicular Planes
          Parallel planes are two plates or planes that do not intersect. If there are two planes ‘A’ and ‘B’ which are parallel to each other A || B and, if there are three planes and two planes are parallel to third plane, t... 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
        • 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
      • 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
      • Special Features of Isosceles Triangles
        Triangles are the polygons with three sides. We say that the triangle is the closed figure with three sides. Now we need to know that the Triangles are classified as per the measure of their lengths of their sides... Read More
      • Special names for sides and angles
        Each Geometry angles and each geometry side has its own name, which is called as a Special name for sides and angles. Now we discuss each and every Special name for sides and angles:
        Altitude side – altitude side is a... 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
    • 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
    • Similarity in Geometry
      When there are two objects which have same shape, then the two objects are said to be geometrically similar and the Ratio of any two linear dimensions of one object is similar for any geometrically similar objects.
      We can say the... Read More
      • Similar Triangles
        A triangle is said to be similar if they have same shape, but it can have different sizes or size may be similar. If a similar triangle is rotated then also it is called as similar or we can also say that one is mirror image of the oth... Read More
      • Ratios and Proportions Geometry
        A Ratio is used to represent the relation between two or more values. For example: if there are 10 pencils and 18 pens then we can write the ratio as:
        10:18; or we can say that for every 10 pencils there are 18 pens.
        In... 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

    • 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
  • 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

    • 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
  • 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

    • Positive and Negative Numbers

      Number system provides various types of number Patterns to solve the various types of problems. From those number patterns we are going to discuss about the positive and negative Numbers. In the general aspect both can b... 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
    • 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

      • 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
    • 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
    • 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

    • 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
    • Graphing Linear Relations and Functions
      A Set of Ordered Pair is known as relation.
      Suppose we have (2, 5), (-3, 4), (12, -5), (5, 7), (0, 5), (6, 9), (1, 6);
      The value lies on x – axis and it is known as Domain of given set and the value of y – axis ... 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

      • Introduction to Probability
        Probability is an important branch of Mathematics. Let us talk about introduction to Probability.  Probability includes the quantitative analysis of large Sets of data.
        Some definitions related to the Probability Theory are ... Read More
        • Empirical Probability
          Probability is the possibility of occurrence of any event. The Probability can be classified as Theoretical probability or Empirical Probability. Now we will look at the definition of Empirical probability. Empirical probability ca... 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
      • Basic Operations on Sets
        One of the main applications of Sets theory is to make the Relations between two sets. For making these relations, certain operations can be performed on the Numbers. We will discuss Some Basic Operations on Sets.
        Union: As the... Read More