Here they do units on Texas and US History in 5th grade as part of "Social Studies" class. Then 6th grade is sort-of world history, it's not very formal, it's also part of a broader Social Studies curriculum.
Then from 7th onward it gets more formal. 7th is Texas history, 8th is US history, 9th is either World Geography or AP Human Geography, 10th is World History, 11th is US History, and 12th is government and econ.