One last thing on carb ice, your instructor should be teaching you the practice of "clearing the engine" on long descents. From " Flying Wisdom, The Proficient Pilot, Volume 3" by Barry Schiff:
"During prolonged glides, be certain to "clear" the engine by applying power every 30 to 45 seconds. Many pilots believe that this prevents the spark plugs from fouling, but "clearing" usually does not do that because the power application is too short. The most important reason for applying occasional power is simply to confirm that the engine is still running. After all, an idling engine and a windmilling propeller are almost indistinguishable.
If an engine does fail during a prolonged glide, it is best to determine this at a relatively high altitude. A pilot cannot afford to wait until power is genuinely needed to discover that it is unavailable.
Applying power periodically during power-off descents also helps to keep the engine warm and provides a modicum of carburetor heat. (Carburetor ice can form during prolonged idling even when carburetor heat is applied because there often is not enough heat being generated by an idling engine to prevent ice from forming.)
During prolonged idling, fuel can condense and form small puddles in the induction lines of some carbureted engines, especially those using autogas. Adding power periodically also clears out this fuel before it can accrue sufficiently to cause the engine to falter.
When "clearing" the engine during a glide, do not jab the throttle or apply a large amount of power. Instead, move it gently, especially when operating engines with counterweighted crankshafts."