I was recently at a Birthday Party for a 1 year old.
There were several ages of children invited 1-5 years of age. They played a 'Fishing Game'. You drape a Large Blue sheet between two walls or two chairs (whatever you have). Stick, cut out fish all over the sheet. You make a fishing pole our of a small stick, clothes hanger etc. Attach about 2-3 feet of string to the pole. At the end you attach a clothes peg. An adult sits behind the sheet with a bowl of goodies or small prizes. Each child gets a chance to fish. They throw in their line over the sheet and the adult behind the sheets attaches a goodie or prize for them. The adult will tug on the line to let the child know that they have a bite. Great game. Great fun.