Memorial events, marches and White House meeting mark one year since George Floyd's death

People walk through George Floyd Square on Tuesday in Minneapolis.

(CNN)As the nation honored the life of George Floyd with memorial events and marches, Floyd's family and supporters said they have been encouraged by the progress made in the year since he was murdered by a Minneapolis police officer.

From Dallas to Washington, DC, to Minneapolis, Floyd's name is echoing across the country in recognition of a man who has become a symbol in the fight for racial equality and police reform.
"Today I just felt a day of relief," Floyd's aunt Angela Harrelson told CNN. "The support that we have received, the love to get to this day. I am just overwhelmed with joy and hope and I feel like change is here."
      Darnella Frazier, the woman who recorded the video of Floyd's murder, told CNN Tuesday that she didn't know Floyd "from a can of paint, but I knew his life mattered."
        "I knew that he was in pain," Frazier said. "I knew that he was another black man in danger with no power."

          Floyd's family visits with President Biden

          Several members of Floyd's family, including Floyd's daughter Gianna, Gianna's mother, Roxie Washington, and his brother Philonise Floyd were in Washington today to meet with President Joe Biden, House Speaker Nancy Pelosi and other lawmakers.
          Philonise Floyd, said the meeting with Biden and Harris was "great," calling President Biden a "genuine guy" who always speaks from the heart.
          "It's a pleasure just to be able to have the chance to meet with them when he we had that opportunity too. We're just thankful for what's going on and we just want this (George Floyd Justice in Policing Act) to be passed in the future," Philonise Floyd told reporters after the Oval Office meeting concluded.
          Biden released a statement saying the Floyd family has shown "extraordinary courage" over the last year.
          "Although it has been one year since their beloved brother and father was murdered, for the family -- for any family experiencing a profound loss -- the first year can still feel like they got the news a few seconds ago," Biden wrote. "And they've had to relive that pain and grief each and every time those horrific 9 minutes and 29 seconds have been replayed."
          The family visit comes as the George Floyd Justice in Policing Act remains stalled in the Senate, despite Biden setting an initial goal of having the legislation passed by Tuesday. Press secretary Jen Psaki said Friday that Biden wants the bill on his desk "as quickly as possible."
          The bill includes provisions to set up a national registry of police misconduct, a ban on racial and religious profiling by law enforcement and an overhaul of qualified immunity for police officers.