Plant two columns of Sunflowers while planting Potato Mines to kill the first few zombies. Once you have enough sun, start planting Cabbage-pults and Wall-nuts to attack the zombies and shield your plants.
Plant Squashes and Cherry Bombs when zombies get too close to your house.
Replace plants that the Bungee Zombie takes, or use instant-kills to kill the Bungee Zombie when it drops down. This is not advisable, since it is likely that all the Bungee Zombies will be spread out.
The first part of the dialogue at the start of the level