Children height prediction logic:
Children in early childhood usually grow at a rate of about 2 to 2-and-half inches/year,up until they begin puberty,when their growth will slow to about 1-and-half inches/year.

There is an acceleration in growth as they hit their peak growth velocity in puberty,to about 3 to 3-and-a-half inches/year for girls and 4 inches/year for boys.Growth then slows again in girls to about 2-and-a-half to 3 inches/year after menarche(the first period) until they reach their adult height.

Boys and Girls usually continue to grow until they are 14-16 years old,but this depends on when they started puberty.

Remember that girls reach their pubertal growth spurt about 2 years earlier than boys, so in early adolescence, many girls are taller than boys.