Use a rotary cutter with a cutting mat
A rotary cutter works with its mat and guide. Set up all three before trying to cut a stack of fabric strips.

Give the blade a proper surface
A rotary cutter is convenient for making straight fabric strips, but it depends on a suitable cutting mat. A bare table, glass sheet or kitchen cutting board is not an equivalent substitute. The mat supports the cut as well as protecting the work surface. Follow its maker's guidance for use, storage and size.
Support the entire mat on the table rather than letting part of it hang over an edge. Remove pins, loose tools and thread tangles from the cutting area. Lay the fabric flat. Press out significant creases according to the fabric's care instructions first; a fold hidden beneath the ruler becomes a notch when the strip is opened.
Learn the movement with one layer
Use an offcut for the first pass and start with a single layer. Choose a stable guide designed for rotary cutting. A thin ruler that slips under pressure makes the job harder to control. Pick one measuring reference and align it carefully rather than alternating between slightly displaced markings on the ruler and mat.
Keep every finger of the supporting hand well behind the cutting edge. Roll away from your body using only the pressure required for a clean cut. If you need to reposition your hand, stop and secure the blade as the tool's instructions describe before continuing.
Inspect the strip. Threads left uncut can result from a worn or damaged blade, insufficient pressure, an unsuitable surface or a hidden wrinkle. Do not respond by rapidly rolling backward and forward. Close the guard and investigate with a scrap.
Add layers only when they stay put
A stack saves time only if its layers remain aligned. Begin with a small number and inspect the bottom piece. A shifted stack produces several inaccurate strips at once. Check the particular cutter's instructions for material limits; blade size alone does not tell you what a model can safely handle.
Close the blade guard after each cut, before setting the cutter down or rearranging the fabric. Make that part of the normal cutting sequence. A circular blade resting on a crowded worktable can be easy to overlook.
Keep replacement blades in their intended packaging. Follow the manufacturer's order of parts when changing one; improvised spacers or incorrectly assembled washers can affect operation. Put used blades into an appropriate puncture-resistant container for disposal according to local arrangements, not loose in a wastebasket.
If you only need to cut a few small shapes, fabric scissors may be the simpler choice. Rotary cutting earns its place when the mat, guide and working space make the process more controlled, not merely because the tool looks faster.