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The line of 100


The Line of 100

The Analogical method for learning mathematics



The Line of 100 is a tool from Camillo Bortolato’s Analogical Method that offers a complete didactic program for mathematics in second grade. The stimulating and interesting approach taken towards mathematics lessens the difficulty that students often experience when learning the subject.  
By using The Line of 100, made up of a manual and a plastic tool similar to an analogical calculator, children are able to practice:

  • mental calculations within and beyond 100
  • written calculations
  • word problems
  • times tables

Find out more!

What’s new with the latest edition of The Line of 100

The new edition of The Line of 100 has many new features:

THE BOOK is now in colour, with new characters and more than 200 exercises about mental and written calculations, word problems and times tables.
A guide enclosed to the book presents the theoretical framework and practical instructions for each exercise.

THE TOOL is an «analogical calculator», pratical and intuitive, which contains 7 interchangeable cards

THE INTERCHANGEABLE CARDS allow students to practice addition, subtraction, multiplication and division. Moreover, they give students the possibility to become familiar with topics they will study in the future, such as cents and euro, centilitres and litres, grams and hectograms


The Analogical Method

The Line of 100 offers a complete program for learning mathematics in the second year of primary school with the Analogical Method, devised by teacher Camillo Bortolato, that uses children’s intuition to transform learning into a joyful flight of discovery, alleviating fatigue. This tool represents the natural continuation of the path started in first grade with The Line of 20, but it can also be adopted in classes that have never used the Analogical Method before, since it represents the most natural way of learning for each child. 

The Line of 100 is particularly suitable for students in difficulty or with a poor command of the language.


How to use The Line of 100

The Line of 100 is a type of analogical calculator, like The Line of 20, which is able to simulate mental calculation operations.  It can be compared to a wardrobe with 10 drawers which contains 100 balls neatly organized: 10 in each drawer.
To begin with, insert the seven cards into the compartment of the instrument so they can always be kept together. As needed, the student will change the order of the cards by putting the correct one at the front. 
For addition: just use the card with the colored background and the white balls. Moving the bars to the right will reveal the quantities requested in the exercise.  Soon students will learn to read according to the rules of sudden perception.
For subtraction: just close the bars to cover the balls.  The answer can be read by moving the card up, which makes the numbers appear. 
For multiplication: turn the card over to use the side with the white background, and move the bars to form square or rectangular “grids” of dots.  By pushing up on the card, the pythagorean chart will appear, which gives the numerical answer.  Naturally the topic of times tables is explained in more detail in another moment.


Watch the video of The Line of 100!