#### FD 8 – MULTIPLICATIVE RELATIONSHIPS BETWEEN FRACTIONS

Children develop deep understanding of multiplicative relationships by building their own fraction wall.
They explain that fractions are named after their relationship to one.
They fold / divide a half in half to make a quarter, explaining that a quarter is half of a half.
They fold / divide a quarter in half to make an eighth, explaining that an eighth is half of a quarter. They fold / divide a half in quarters to make an eighth, explaining that an eighth is quarter of a half.
They fold / divide a fifth in half to make a tenth, explaining that a tenth is half of a fifth.
They fold / divide a third in half to make a sixth, explaining that a sixth is half of a third.
They fold / divide a sixth in half to make a twelfth, explaining that a twelfth is half of a sixth. They fold / divide a half in sixths to make a twelfth, explaining that a half is a sixth of a twelfth. They fold / divide a quarter in thirds to make a twelfth, explaining that a twelfth is a third of a quarter. They fold / divide a third in quarters to make a twelfth, explaining that a twelfth is quarter of a third. 