The following is a supply list for design thinking and game-storming workshops. You can use these items to facilitate all sorts of exercises ranging from basic flows to a complex user stories. Not all items are necessary, but these are my go-tos when running a workshop.
A timer keeps workshop exercises from meandering. You can set this timer to 1-, 3-, 5-, and 7-minute increments simply by flipping it to the preferred time.
Dot Sticker Rolls
If you frequently run workshops, consider buying dot stickers by the roll. (Sheet stickers are uneconomical, and partially used sheets look shoddy.)
Hot stickers provide you a means to interrogate a subject on a per-participant level.
Kraft Paper Rolls
A paper work surface is not required, but it can be very helpful. Upon completion of a workshop, you can simply roll up the diagrams and walk out of the room. Additionally, you will have the actual diagram to refer to, rather than a potentially blurry photo of it.
Blue Painters Tape
Blue painters tape affixes paper sheets to walls and whiteboards. It adheres enough to secure items but not enough to remove paint. (Helps keep wayward Post-its from escaping, too.)
Dry Erase Markers
Undoubtedly during a workshop, at least one participant will attempt to write on a whiteboard with the same marker she or he is using to write on a Post-It. Better ensure the markers are erasable.
The brand of stickies really does matter. Post-Its are more expensive than other brands, but they stick far better. Nothing is more frustrating than watching a wall full of work go airborne upon an air conditioner turning on.
Big Post-Its are helpful when indicating major themes or key items (e.g. goals in impact maps, user types in a story map, etc.).