I thought I'd share how I set up new tanks with sand. I don't do the usual method of stirring new sand. What I do is I fill the tank with dechlorinated water, find a bottle that will fit the height of the aquarium, rinse the bottle out thoroughly. Then make a funnel or purchase a funnel, adding sand to the bottle.
Put the sand underwater, waiting until very little or no bubbles comes out of the bottle. Gently squeeze the bottle a few times to make sure the bubbles are gone. Turn the bottle upside-down and spread the sand around the base of the tank.
Once all of the sand is gone, quickly take the bottle out. What would have normally been stirred out from the usual method is still left inside the bottle. This is the very fine particles. Empty the bottle. Repeat again if you need more sand. You're good to go.
Usually you have to wash the sand before you can put it in a new tank. Otherwise, the water will be cloudy for days. If you do it this way, that prevents the cloudiness without having to wash the sand.
This is a good method to place a small aout od sand in a specific location. Simply to avoid rinsing though does sound a bit like a backward approach.
However I am no expert - I'm the dipstick who added way too much Osmocote+ to his 10G setup and had to start over.
If you live in an apartment/condo and washing sand in a 5 gallon bucket is impractical you can use a painters seive in a tub or sink to rinse even your finer grade substrates. These can be purchased very cheaply in different sizes at hardware stores near the painters rags and buckets. They are very fine mesh bags made of nylon usually with a drawstring or elastic band at the opening.
If you do this to rinse a lot Flourite I recommend keeping the water on full blast. Or you may build yourself a clay dam in your plumbing.