"New Mexico, California, and all the territory in between" . "northern Mexico" . "Mexican Cession" . "Mexico ceded" . "annexation of Mexican territory" . "U.S. territory" . "to invade Mexican territory" . "ceded" . "area from California to New Mexico" . "annexed by the U.S." . "Unorganized territory" . . "territory lost to the United States" . "lost to the U.S" . "territory acquired" . . "Mexican Cession of 1848" . "territory ceded to the US" . . . "Mexico formally ceded" . "annexation of Northern Mexico" . "ceded to the U.S. in 1848" . "being ceded" . "cession of Alta California to the United States" . "Mexico (historic)" . "new territories acquired from Mexico" . "annexation of 525,000 square miles of Mexican territory" . "territory it lost in 1848" . . "cession" . "California was ceded to the United States" . "became U.S. territory" . "cedes" . "lands ceded" . "Mexican cession" . "annexed the northern half of Mexico" . "was ceded" . "were ceded" . "northern territories" . . "ceded California to the U.S." . "Mexican territory" . "large parcel of land" . "annexes area from New Mexico to California" . "was forced to sell" . "California" . "Mexican national territory" . . . . "ceded the territory" . . "California Territory" . "American territory of annexation" . "annexed Mexican territories" . "large area of land" . "cession of California" . "American annexation of Mexican land" . . "annexed territories" . . "annexed" . "purchased from Mexico" . "Mexican Cession territory" . "annexed New Mexico" . "ceded to the United States" . "became part of" . "expanded its territorial base to the Pacific coast of North America" . "cession of 525,000 square miles of Mexican territory to the United States" . "part of the U.S." . . "territories acquired" . "Mexican Cession" .