In that lesson Anders is playing the A minor pentatonic scale.  The scale image you linked is the C major pentatonic scale.

They contain the exact same notes because they are relative major & minor scales:  C major is the relative major of A minor, A minor is the relative minor of C major.

C pentatonic major notes & scale degrees:  c(1) - d(2) - e(major3) - g(5) - a(major6)

A pentatonic minor notes & scale degrees:  a(1) - c(minor3) - d(4) - e(5) - g(minor7)

Same notes, but different scale degrees.  But since they are the same notes they use the same pattern.

Same pattern (fretboard shape) but different scale degrees depending on if you want to think of them as major or minor which in turn depends on the musical context.  All of that is beyond the scope of that particular lesson which is essentially just getting you used to playing the fretboard pattern one note at a time.

I explain all of this (pentatonic patterns, relative major & minor) in this tutorial.

https://www.guitartricks.com/tutorial/296

Hope that helps!