It almost works.
- unique is called uniq, but you can write an alias. I would not be surprised if it was called unique in this video for presentation purposes and uniq already worked at the time.
- sort will work as is
- lowercase is tr '[:upper:]' '[:lower:]' (you can write an alias).
- you need write programs makewords and mismatch and put them in $PATH (the current folder was probably in $PATH at the time but it's not anymore for security reason)
sort | uniq can be written sort -u.
But the gist of it is still accurate and still applies to today's unix-like systems, which is quite a thing for something that has more than 50 years.