The Warriors lead the league in scoring, field-goal shooting, three-point percentage and assists, and get this: Their offense is getting better.

During the past seven games, they’ve increased their numbers in all four categories and have cut down on their turnovers.

A lot goes into the remarkable stats, but Draymond Green’s penchant for running a one-man fastbreak during the seven games may be the most important.

“I think I’ve done it off and on this year, but I’ve started to do it more consistently,” Green said after leading the Warriors to a season-high 60.2 percent shooting performance in Tuesday’s victory at Portland. “I can either get all the way or teams collapse in the paint and I can kick out to one of our shooters. I think I’ve been doing it at a much more consistent level the past couple of weeks.”

Since Green entered the league in 2012, his coaches have implored him to grab defensive rebounds and push the ball in transition, but he usually would get the ball across the timeline and initiate a halfcourt set.

But about two weeks ago, a lightbulb went on in Green’s head. He realized that there weren’t many power forwards or centers who could beat him in a length-of-the-court race, so he started taking the ball from rim to rim.

And when opposing guards have met him in the lane, Green has shown he can score over them or dish to a now-open Stephen Curry or Klay Thompson for a three-pointer. During their past seven games — all of which they’ve won — the Warriors are averaging 113.4 points on 49.8 percent field-goal shooting (41.7 percent on three-pointers) and 30.7 assists.

Green’s numbers during the stretch: 13.4 points, 4.1 assists, 7.6 rebounds and 49.3 percent shooting.

“Draymond has just evolved this year,” Warriors head coach Steve Kerr said. “It’s the first year that he’s started and received consistent minutes. You can see him just blossoming. A guy at his age (25) and at this stage of his career, he has to experiment. He has to figure out what he can and can’t do.

“When he gets the ball in transition, he’s got two of the best shooters in the world on the wings. When he attacks the lane, people aren’t helping as much, and he’s a great finisher. It’s not anything we’ve talked about. It has just sort of evolved, and he’s finding who he is as an NBA player.”

The latest development in Green’s evolution has been shocking to point guard Stephen Curry, who said, “I have to remember to sprint down the court when he does it, because I kind of get caught staring sometimes, like 'Dang, he’s running fast.’

“It’s been working, obviously. He picks and chooses his spots, but when he gets the rebound, pushes up and beats his man down the court, somebody has to help. He finishes at the rim, gets fouled or finds someone for an open look. It works, and I think he’s smart about when he does it.”

Green is coming off his 15th double-double of the season, having posted 14 points, 11 rebounds, eight assists and three steals against the Trail Blazers. The Warriors are coming off their NBA-best 26th game with at least 30 assists — a stat San Antonio led last season with 16 such games.

“Some guys might have a size advantage on me, but those guys can’t match my speed,” Green said. “I get going, and teams are very, very scared to come off (Curry and Thompson). Once they do, I just kick it out.

“It makes it real easy.”

Rusty Simmons is a San Francisco Chronicle staff writer. E-mail: rsimmons@sfchronicle.com Twitter: @Rusty_SFChron