The circle theorems unit is one where I question when we will use it but see the value in helping students explore and think. One way I like to do this is by having them explore the theorems and record what they notice.
I use Geogebra for the explorations. Some of these are ones I have made and others are ones I have found made by others. I love Geogebra for explorations because you can interact with the images and see what happens when you make the circle bigger or change the angle measure.
If you are wanting to use more critical thinking for the circle theorems unit, I hope you give these a try.
I hope you find these helpful. Check back soon for more circle theorem activities.