Monday 25 May 2015

1st ESO PROJECTS

The 1st ESO students work in groups each week to present a project. They develop a creative and original idea and they show to their mates how to do it. 

This last week Elsa and Nora did a great job with this video where they show how to make a finish star. I hope you will enjoy it!








Wednesday 13 May 2015

Triangles


























 Definition


A triangle is a closed figure consisting of three line segments linked end-to-end. A triangle has three sides and three angles.

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.

Perimeter
The distance around the triangle. The sum of its sides. 

Interior angles
The three angles on the inside of the triangle at each vertex. 

Exterior angles
The angle between a side of a triangle and the extension of an adjacent side. 

Altitude or height
The altitude of a triangle is the perpendicular from one side to the opposite vertex. The three altitudes intersect at a single point, called the orthocenter of the triangle.  


Median
The median of a triangle is a line from a vertex to the midpoint of the opposite side.Thethree medians intersect at a single point, called the centroid of the triangle.




 Circumcenter

 

The circumcenter (circuncentro) is the point of intersection of the three perpendicular bisectors of the sides. The circumcenter is also the center of the triangle's circumcircle (circunferencia circunscrita) - the circumference that passes through all three of the triangle's vertex. 

Incenter
The point of intersection of the three angles bisector is the incenter (Incentro). The incenter is also the center of the triangle's incircle (circunferencia inscrita)- the largest circle that will fit inside the triangle.


















 Also:
  1. The shortest side is always opposite the smallest interior angle
  2. The longest side is always opposite the largest interior angle

 Properties of all triangles

  • The interior angles of a triangle always add up to 180°
  • The exterior angles of a triangle always add up to 360°

 Terminology


It is usual to name each vertex of a triangle with a single capital (upper-case) letter. The sides can be named with a single small (lower case) letter, and named after the opposite angle.

Classification of triangles


From: http://www.mathopenref.com/triangle.html