Posts

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 th...

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°