http://ledcalc.com is a sweet site that allows you to input the voltage of your power source and LED and it will calculate the resistor value needed.
and I think my AA batteries are actually 1.5V. but either way, for the materials you listed above, you will not need a resistor if you use AA or AAA
resistor values come in to be important if you try to mod an existing LED light device. considering most visible light LEDs are rated for 3V, the power supplies they have will probably blow out your IR LED instantly if connected directly without a resistor.