shoot somebody a look
shoot somebody a glance

Time and again he shot glances at her closed eyes.

So saying, he shot a quick glance up and down the street.

He shot a glance behind him, to the side, ahead.

He sat behind the desk and shot a glance at the door.

He shot a glance in the direction of the window.

He shot a significant glance at the eight younger men.

He shot a glance over his shoulder, but saw no one in the office.

Once, while she was talking, he shot a quick glance at me.

He shot a glance behind him, over his left shoulder.

Despite himself, he shot a nervous glance at the door.