Which accomplishment of thomas jefferson is shown on the map as unorganized territory

[You didn't show the map, but that's the probable answer.]

Explanation:

President Thomas Jefferson commissioned James Monroe and Robert Livingston to negotiate a deal with France to acquire New Orleans or all or part of Florida. When they went to France to negotiate, Monroe and Livingston found that Napoleon was ready to sell a much wider range of territory to the United States, to finance his European wars.  Napoleon was asking $22 million for the whole territory that became the Louisiana Purchase.  The US team negotiated the price down to $15 million.  

Then there was a constitutional crisis back home:  Did the President have the authority under the constitution to make such a major addition to the nation's territory and spend the nation's funds to do so?   Jefferson himself initially thought a constitutional amendment might be necessary to authorize such a large action. Ultimately, Jefferson simply sought approval of the purchase from Congress.  He used this analogy to describe what his administration was doing on behalf of the country:  "“It is the case of a guardian, investing the money of his ward in purchasing an important adjacent territory; and saying to him when of age, I did this for your good." 

on november 6 and 7, 1917 (or october 24 and 25 on the julian calendar, which is why the event is often referred to as the october revolution), leftist revolutionaries led by bolshevik party leader vladimir lenin launched a nearly bloodless coup d'état against the duma's provisional government.