S.H.
he is 5 months old.
How do you KNOW... he is "bored?"
Babies... rarely get 'bored' or have the cognizance of that.... until much older.
Next, a baby does NOT have to be 'entertained.' Nor all the time. Because it makes them over-stimulated and then they get over-tired. Then when over-tired... it actually makes it HARDER for a baby to fall asleep and to stay asleep and to sleep well.
When you say he is 'bored'.... what do you mean? That he screams and cries? Well... that does not necessarily mean he is 'bored.' It means... that he is over-stimulated or tired... and then is tired of being in the bouncy or play gym. Babies cannot 'communicate' except to cry. But 'crying' often means either hunger or over-stimulation or tiredness. In a baby. Not 'boredom.'
And, babies do not have any long attention spans. So, 10 minutes in a bouncy or pay gym... may be all he can put up with.
Just let him be..... on a mat.... and let him loll around. You don't 'have to' have toys all around him or have him in apparatuses.... or 'entertaining' him. Let him be and just hang out.... on a blanket. A baby needs that too.... just to learn too. Not ALWAYS being 'stimulated' with stuff.
A baby... also gets tired, after about 2 hours of awake time. At this age, even a bath is a major activity for a baby. Then they get tired. So then put him to nap.
all the best,
Susan