How do I document these items on my résumé? I don't want to come across as someone who exaggerates their accomplishments, but I did have a role.
Part of my organization led a project that resulted in a considerable amount of savings. I was manager over the team, laid out the initial scope of the project, provided support and direction during the project.
I worked on a major initative as a team member. Our executive was the formal project lead on it, but I did a considerable amount of the actual work. I kept the project afloat since she had a lot of other things going on. I want to mention this since they are looking for project management. I have other things I led, but this was most recent and a pretty big initative.
I feel like these are specific things that are great to mention in a cover letter or interview, but not necessarily to outline in your resume. But I could be wrong, I've been unsuccessfully job hunting for 6 months now.
How is your resume set up? Mine and most I've seen list each job and then bullet points beneath each that outlines various responsibilities and accomplishments. I don't see why you couldn't squish these two items into one- or two-line bullets. Don't overstate your actual role or accomplishments, but try not to sell yourself short. Humility is good, and you never want to claim experience you don't have, but this is really no time to be overly humble.
For the first, how about a quick summary like this?
Managed Project Zebra, leading team of five in process revision ultimately resulting in savings of $55k