In terms of continuity, similarities can be seen between the 60's and modern day, through Martin Luther King Jr's protests, and the Black Lives Matter protests. MLK knew that change could only come if the African American community demanded it, and he did this through the use of protests and marches, eventually getting him arrested in Birmingham. In response to his arrest, he wrote a letter to the local government, basically telling them that the civil rights movement was the only way for black people to get the rights that they deserved, and no one was going to stop them. In 2020, BLM surged thanks to the murder of George Floyd, as well as the global pandemic. It left people in shock, and hundreds of thousands decided to express their outrage at the systemic racism that had plagued society for generations. So as you can see, there's a lot of continuity when it comes to the African American communities fighting for rights.
As for change, it can also be seen between the 60's and modern day. In the 60's, an organization called the black panther party fought for freedoms and rights that white people had that they wished for the African American community. In 1966, they created the 10 point program, which basically listed 10 of their most pressing demands for the US government, including housing, education, and employment. They were labeled as a terrorist organization, and looked down upon by most white people. In 2020 however, not only do black people have the same education opportunities as white people, but black history is being taught in schools as well. Because of the surge in popularity of BLM, many states decided to pass bills and legislations that would mandate the teaching of black history, as it had been noticeably missing from the curriculum. This shows a positive change in society, where once black people had to fight for education, they now enjoy equality and representation in education, a big step for the African American community!