If you think about your significance, to be significant means that you should do something that influences the lifes of many * (eg. Mahatma Ghandi).
If you want to be significant to those close to you , you should prove yourself to them by material means or by influencing their life (you school theacher , your mother).
But if you want to be significant to yourself , you sould think about what are you goals and reach them .
You should reach what you dream to be.
Only then you will think about yourself as a significant person.
There are many who reach only one ore two of those level.
Signifiance is very relative.