Here are some ideas of activities to do with a rope - some with jumping, some without.
Hi-Lo: cross over a side-to-side swinging rope. Height varies.
Snake: Cross over the rope as it swiggles on the ground. Swiggles may vary from narrow to wide.
Variety Limbo: How low or high can you go? Get to the other side as the rope changes heights for each person. Some climp over, others under.
TightRope Walking: Walk on the rope, toe-heel.
Double Dutch: two ropes swing at once in opposite directions
Chinese Jump rope: a stretchy loop rope (or 2 ropes tied together) that make 2 ropes at ankle height that you jump in and out of.
Pull line: Child sits on a scooter and uses hand-over-hand movements to pull along a rope tied securely at one end. Cautiously try kneeling or standing on the scooter for those ready for a greater challenge.
Tug Boat: Child holds end of a rope, while sitting on a scooter as it is pulled. (Use stablity & core muscles not to get pulled off scooter!)
Clothesline: Use clips and hang papers, socks, pictures, letters, leaves, anything!
Knots: Practice tying them, untying them, fancy knots or old fashioned knots that happen all the time in shoelaces! A great workout for the hands!