Posts

Showing posts from November, 2018

surd

TODAY...Definition of a Surd: The   n th   root of a number   a   is denoted as   n √a   (also as   a1/n ) Let   a   be a   rational number   and  n   a positive integer. Then   n √a   is called a Surd if it, i.e.   n √a is an   irrational number. n√a is spoken as   “n th  root of a” n th root of a number  a  is a surd, if  it  is an irrational number. Examples of Surds: 2 √2  or just  √2   is a surd. 3√9, 3√16, 4√25, 5√100 are all numbers whose given roots are not rational numbers. They are therefore   Surds .

Information processing

Tree Diagrams Have you ever been staring into your closet trying to figure out what to wear and wondered how many outfits you could actually put together with your different tops, bottoms, and shoes? In mathematics, we have a tool for this called a tree diagram. A  tree diagram is a tool that we use in general mathematics, probability, and statistics that allows us to calculate the number of possible outcomes of an event, as well as list those possible outcomes in an organized manner. A common example used to introduce tree diagrams is to find the number of possible outcomes of flipping two coins in succession. We know that when we flip a coin, it will either land on heads or tails, so when we flip one of the coins, we have two possible outcomes: heads or tails. When creating a tree diagram, we would represent this by having a starting point, then we would draw two branches from that starting point: one for heads and one for tails.

Geometry

Image
Geometry is all about  shapes  and their properties. If you like playing with objects, or like drawing, then geometry is for you! Geometry can be divided into: Plane Geometry  is about flat shapes like lines, circles and triangles ... shapes that can be drawn on a piece of paper Solid Geometry  is about three dimensional objects like cubes, prisms, cylinders and spheres. Hint: Try drawing some of the shapes and angles as you learn ... it helps. Point, Line, Plane and Solid A  Point  has no  dimensions , only position A  Line  is one-dimensional A  Plane  is two dimensional (2D) A  Solid  is three-dimensional (3D)

PROPERTIES OF TRIANGLES

Triangle properties Vertex The  vertex  (plural: vertices) is a corner of the triangle. Every triangle has three vertices. Base The  base  of a triangle can be any one of the three sides, usually the one drawn at the bottom. You can pick any side you like to be the base. Commonly used as a reference side for calculating the  area of the triangle . In an  isosceles  triangle, the base is usually taken to be the unequal side. Altitude The altitude of a triangle is the  perpendicular  from the base to the opposite vertex. (The base may need to be extended). Since there are three possible bases, there are also three possible altitudes. The three altitudes intersect at a single point, called the orthocenter of the triangle. See  Orthocenter of a Triangle . In the figure above, you can see one possible base and its corresponding altitude displayed. Median The  median  of a triangle is a line from a vertex to the midpoint of the opposite side. The three medians intersect at a single po

Today

Today first hour I am going to 7th standard I correct the class work note and then I am going 10th standard my guide mam conduct the exam. And then I am going to 6th standard I teach the topic was profit and loss and then think about the real life situation.And do the sums in the blackboard.The students are listen patiently.

Triangle Inequality Property

Triangle inequality property : The sum of any two sides of a triangle is greater than the third side.  In triangle ΔABC,  b + c > a  c + a > b  a + b > c  This important property of a triangle is known as Triangle inequality.

Types of triangles based on angles

Image
Right Triangles A right triangle has one 90° angle                                                                                                       Obtuse Triangle The Obtuse  Triangle  has an  obtuse angle  (an obtuse angle has more than 90°).                                                    Acute Triangle   The Acute Triangle has three acute angles (an acute angle measures less than 90°

Today

Today 1st hour Iam going to 7th standard I conduct the exam ,the students are write the exam and then Iam going to 6th standard I teach the topic was types and properties of triangle.

Triangles

Image
A  triangle  is a  polygon  with three  edges  and three  vertices . It is one of the basic  shapes  in  geometry . A triangle with vertices  A ,  B , and  C  is denoted  {\displaystyle \triangle ABC} . Give some activity and using teaching aids explain the triangle.

Degree of Polynomials

Image
The highest value of the exponent in the expression is known as Degree of Polynomial. The degree of a polynomial is the largest exponent. It is also known as an order of the polynomial. While finding the degree of the polynomial, the polynomial powers of the variables should be either in ascending or descending order. Linear Polynomial: If the expression is of degree one then it is called a linear polynomial. For Example 5x+2,50z+3. Quadratic Polynomial: If the expression is of degree two then it is called a quadratic polynomial.For Example  . Cubic Polynomial: If the expression is of degree three then it is called a cubic polynomial.For Example  . Example:  Classify these polynomials by their degree:

Types of triangles based on sides

Image
Scalene Triangle The  Scalene Triangle  has no congruent sides. In other words, each side must have a different length. Isosceles triangle The  Isosceles triangle  shown on the left                    has  two equal sides and two equal angles Equilateral triangle The  Equilateral triangle  shown on the left has three congruent sides and three congruent angles. Each angle is 60

Types of polyonamial

Image
Monomial = The polynomial with only one term is called monomial. A number or a product of a number and a variable.  Example:  -2x, ,are monomials. Binomial = The polynomial with two-term is called binomial. Two monomials are connected by + or -.  Example:  ,are binomials. Trinomial = The polynomial with three-term are called trinomial. Three monomials are connected by + or -.  Example:   are trinomials. Constant Polynomial: The polynomial containing only the constant term is a constant polynomial.  Example:  45,-78 are constant polynomial. Polynomial: If the expression contains more than three terms, then the expression is called a Polynomial. More than three monomials connected by + or -.  Example:   is a polynomial. Example:  Identify the types of polynomials: -89

Transversal

Image
Definition: A line that cuts across two or more (usually parallel) lines  the line AB is a transversal. It cuts across the  parallel lines  PQ and RS. If it crosses the parallel lines at  right angles  it is called a  perpendicular transversal . 

Real number

Image
A symbol of the set of real numbers In  mathematics , a  real number  is a value of a continuous  quantity  that can represent a distance along a  line . The adjective  real  in this context was introduced in the 17th century by  René Descartes , who distinguished between real and  imaginary   roots  of  polynomials . The real numbers include all the  rational numbers , such as the  integer  −5 and the  fraction  4/3, and all the  irrational numbers , such as  √ 2  (1.41421356..., the  square root of 2 , an irrational  algebraic number ). Included within the irrationals are the  transcendental numbers , such as  π  (3.14159265...). In addition to measuring distance, real numbers can be used to measure quantities such as  time ,  mass ,  energy ,  velocity , and many more. Real numbers can be thought of as points on an infinitely long  line  called the  number line  or  real line , where the points corresponding to  integers  are equally spaced. Any real number can be determ

profit and loss

Teaching about the profit and loss in our daily day,we use commodities like food,clothes,vehicles,book ect.Everything is produced by smeone or by a term of people and sold directly to the people or though the dealer. When we buy anything, a dealer charges more than what the manufacturer charger.Because, the dealer invests some money to buy the goods, sepend his time to bring them to his place and he wants to eran a bit more money to buy more invesment.The excess money that the dealer collects from the people is called profit and loss.