Our current math unit, Different Shapes, Equal Pieces, concentrates on the use of an area model for fractions less than one whole. In this unit, we are also studying fractions in terms of "families". For example, one-half, one-fourth, and one-eighth are all in the same family. This is due to the doubling and halving relationship between these fractions. When the denominator doubles, the area of the fraction (in the area model) cuts in half.
Look at the visual.
One-fourth of 16 is 4 square units.
One-eighth of 16 is 2 square units.
Through the use of this area model, we are also recognizing equivalent fractions as well as combinations of fractions and their sums.
One-half is equal to two-fourths and is equal to four-eighths.
One-fourth +one-fourth has the sum of one-half.
One-eighth +one-eighth has the sum of one-fourth.
The next "family" we will work with is one-third, one-sixth, and one-twelfth.
Can you determine, using doubling and halving, what the NEXT fraction in this family is?
