Need help with circuit task
What you want can be achieved by what is termed a toggling latch  or toggling flipflop.  

These are electronic devices which input a "clock" signal and change state once per clock cycle. They often have two outputs which can be considred to be
"high" or "low" or
1 or 0 or
true or false.  

So a two output flipflop has outputs either in state 0/1 or 1/0.
Clock signals may be designed to trigger the change of state on the rising edge or the falling edge or in some cases the clock level (0 or 1) latches or unlatches the latch. This is important when a data line is also involved - a complication bot relevant in this case.

You can compare the above description to your requirement and the many circuits referenced above and should be able to use this information to design a simple low cost solution. 



Here are some typical examples

I am not suggesting that any of these is the best solution or even a suitable one in your case - but they show what is typically involved. 


uses two transistors and quite a few other parts. It has set and clear and toggle inputs, making it quite versatile.
Uses a "D flipflop"  to make a very simple toggle. If you end up using something like this you absolutely must do enough research to understand how and why it works. Just serving up yur prof the fbd will get you in deep trouble if you cannot explaimn it.
Is similar to 1. but with a somewhat subtle and major difference in operation. Understanding how 1 &amp; 3 works will greatly advance your analog electronics understanding.
Uses a JK flipflop. It looks like 2. and is BUT there are also major differences. If you end up being able to explain D &amp; JK flipflops and how to toggle them and the differences you will have done well. If not DO NOT submit them to your prof or else!


 ##