Doing High-Leverage Work Around a Morning Scrum?

I've read in a number of places that it's great to tackle your most important tasks first thing in your day, spending 2-4 hours of solid work right from the start. However, I've noticed that it's hard for me to do this in large part because I have my morning scrum an hour into my day and currently have to participate in another team's scrum as well. These meetings often combine to ~45 minutes. Therefore, I'm more inclined to do maintenance tasks and low-hanging fruit, as well as other, smaller-leverage activities like browsing Taro.

I'm assuming morning scrums are the norm, so any tips to get high-leverage work done with a scrum smack in the middle of my morning? Now that I think about it, starting earlier would be one solution. Others are welcome.