Because this is a homework assignment and he has been told to use an antique TTL IC1) Why use an antique TTL IC?
2) A VU meter uses audio to indicate the loudness, but your circuit has no audio input.
3) What do your switches do? To set a binary input?
4) Why do the LEDs have no power connection to their anodes?
5) Are the seven LEDs in a 7-segment display to show a number? Then look at the datasheet of an old 7448 BCD to 7-segment driver that has many AND gates in it.