Jealous of her big brother, Olie, who has a pet, Zoe goes to look for a pet of her own. She quickly comes back with a rock and claims it to be her "pet" rock and gives it lots of attention. She soon realizes it's pretty hard to have a pet rock in the house...
While Billy and Olie are carefully making a card house, Zoe and Binky chase a leaf blowing about in the wind. They have lots of fun chasing the leaf while often accidentally knocking down Olie's and Billy's card house in the process.
On a special day called "Polie Poppin' Day", Polly, Olie, Billy and Zoe argue what they should do on this day. Olie's mum comes up to tell them that one reason Polie Poppin' Day was invented, is because of an argument a lot like theirs and she tells them how to solve it.
It is nearly Jingle Jangle Day (Christmas in this series) and as a decoration, Olie and his dad have put up a fake robot snowman in the front garden. Later, Olie starts imagining that the snowman is alive and that it is snowing in Polyville.
The Bevilles invite the Polies to a square party, which involves square dancing and square food! To be polite, the Polies try to practice square dancing and the Bevilles try to practice round dancing, but they can't do these things.
It is Jingle Jangle Day's Eve (Christmas Eve in this series) and Zoe is about to put the star up - it is a star that the family have had for a very long time. By accident, Zoe breaks it, Zoe and her sister Olie are determined to fix the star...
Lots of people in Polyville love looking at Olie's new baby brother and sister, Coochie and Coo, but while other people are around, the babies seem to look a bit clueless and bored. With just the two of them around, Coochie and Coo get up to lots of amazing things.
When Olie's dad fiddles with his magnatron again, he accidentally makes everyone go upside down. The family decide to try and start living upside down - but it seems to be harder than they first thought.
Using the magnatron, Olie's dad is trying to make the inkspot on his wife's t-shirt disappear by making it a different colour. In the process however, he makes Olie invisible and he has fun mucking around being invisible.
Olie and Zoe have to keep Pappy busy while their mum and dad are reading upstairs. Unfortunately for Olie and Zoe, all Pappy wants to do is sleep! Finally, he decides to show them some magic tricks and while Olie and Zoe are doing some magic tricks with their grandpa, Pappy disappears!