Give children paper squares 8" x 8", which will allow a number of folds.
Finding equivalent fractions for 1/1:
Take one of the squares; this is a whole and can be represented as 1. In terms of a fraction, this can be represented as 1/1.
Next, fold it by bringing the left edge of the square on to the right edge. Open up the fold and draw a line on the fold using red color. Now, the whole or 1/1 can be represented as 2/2.
One fold actually is the multiplication of one by two. That is how we get the fraction 2/2. Next, fold the square by bringing the left edge of the square on to the right edge, twice. Open up the folds to get the original square. Now you have new folds, on which you will draw lines using blue color. Since you have folded the paper twice you have multiplied the whole by four, therefore the whole or 1/1 can be represented now as 4/4.
Repeat this way many more times, folding the square, and you can note down new ways to represent the whole or 1/1.
See the figure below showing the equivalent fractions for 1/1.
Finding equivalent fractions for 1/2:
Take one paper square. Fold it once. Open the fold and on the fold draw a line in red color. Color one of the two parts yellow. This yellow-colored part can be represented by a fraction ½.
Take the same square and fold it on the red line. Now, bring the edge with a fold on the other edge. Open up the fold to get the original square. On the new folds of the square, draw lines in blue. Identify the fraction that will now describe the yellow portion of the square. It now can be represented using the fraction 2/4.
This way, you can find out some more fraction names for the fraction ½. See the figure below:
Identifying a rule for finding out equivalent fractions:
In the above figure, the fractions inside the rectangles were not obtained directly by us, as folding a paper to get three equivalent parts was not so easy. However, we could obtain them by using a fraction wall and a fraction chart.
Now, let us consider the equivalent fractions obtained for 1/1. The numbers in the numerators of the equivalent fractions are simply multiples of one, which is the numerator of the fraction 1/1. Moreover, similar is the case with the denominators of the equivalent fractions. The denominators in the equivalent fractions are also the multiples of one, which is the denominator of the fraction 1/1.
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