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News & Blog

August 14, 2002  |  By Northwest Montessori In Sensorial

 Constructive triangles box 3 (Triangular box) 

ConstructiveTriangles

In Class Presentation

Recommended Age: 4 years and onwards 

 

Purpose: To show the child that equilateral triangles can be subdivided into other types of triangles and preparation for later work in geometry. 

 

Level of Parent Involvement: Medium during the initial presentation then low once the child has been shown and can work independently. The adult must also make the materials prior to the presentation. 

 

Prerequisites 

  • The child should have worked with the first and second sets of constructive triangles and be able to name the shapes formed by the triangles 

 

Materials 

  • Set 3 (triangular box) print from PDF 
  • Scissors 
  • Laminator 
  • Laminating sheets 
  • Small tray or box to keep the constructive triangles 

 

Preparation 

  • Print set 3 (triangular box) from PDF 
  • Cut out triangles 
  • Laminate triangles then trim around the plastic laminating sheet 
  • Place the triangles in the tray/basket 

 

Steps 

  • Invite the child letting them know that today you are going to show them the third constructive triangle exercise 
  • Go with the child to their table 
  • Take out all pieces from the tray/basket and place on the mat, the child may help 
  • Invite the child to place the same coloured pieces on top of each other 
  • Point out the grey triangle saying to the child “I wonder if we can make this same triangle with our other triangles?” 
  • Take the 2 green right angled scalene triangles, positioning them so their black lines are facing 
  • Slide together making all black lines touch, forming an equilateral triangle 
  • Take the 3 yellow obtuse angled isosceles triangles, positioning them so their black lines are facing 
  • Slide together making all black lines touch forming an equilateral triangle 
  • Take the 4 small red equilateral triangles, positioning them so their black lines are facing 
  • Slide together making all black lines touch forming an equilateral triangle  
  • Say to the child “let’s check to see if we have made the same triangle” (referring to the large grey equilateral triangle) 
  • Place the grey equilateral triangle on top of the other triangles, showing the child they are the same size 
  • Mix all the shapes 
  • Invite the child to have a turn, leaving the child to work independently 
  • When the child is finished let them know to place the 3rd set next to the 2nd and tell the child they may now explore the 3 sets they have been shown together
     

Variations 

  • The child may now use this set of triangles with the first and second set 
  • You may give the child the language of the parts of the triangle: 
  • Side, angle, base, vertex (relates to the grey triangle) 
  • Altitude/height (relates to the black lines on the joined green triangles) 
  • Centre, angle bisector (relates to the black lines on the joined yellow triangles) 
  • Midpoint of the side (relates to the joined red triangles) 
  • The child may trace around the triangle cards and label the parts 

 

 

 

 

Video Guide

Article by Northwest Montessori

Previous StorySewing cards
Next StoryConstructive triangles (Box 1) 

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