Shutter Speed - freeze action

A friend is going having a birthday party at a gymnastic place and was asking about a good shutter speed to get a good stop motion.  I just happen to be at a birthday party at the beginning of this month - and here are some good speeds to get a stop motion in not the best of lighting.  I didn't use a flash.  Now - I am not an expert by any means - but I think these work.

Jumping on a trampoline:

1/250 sec at f/2.5 ISO 2000

1/250 sec at f/2.5 ISO 2000

Swinging on the zip line:

1/320 sec at f/3.2 ISO 2500 (a little fuzzo - should have been better exposed)

Jumping off a balance beam

1/250 sec at f /1.8 ISO 2500

Going down a bounce slide - super dark in there!

1/320 sec at f /4.5 ISO 2500

All of these were processed in Light Room and the exposure was tweaked and so was the contrast and clarity.

Then if you go outside - it brings a whole other game - I did this amazing Senior shoot - and look at the change in the settings.

1/1250 sec at f /3.5 ISO 250

1/800 sec at f /3.2 ISO 500

1/3200 sec at f /2.8 ISO 160

Look at how I was able to increase the shutter speed by a lot with the available natural light - I could increase the shutter speed because my ISO's were so much lower.  Difference between buildings and outside.