An ice maker includes an evaporator configured to freeze water into ice as it flows vertically down a freeze plate. A distributor distributes the water along the top of the freeze plate to form ice across the width of the freeze plate as the water flows downward along the freeze plate. The distributor can be integrated into the evaporator. For example, the distributor and evaporator can have a part in common. The distributor can be formed from two pieces that come together to form the freeze plate. The distributor can have various features that aid in providing a desirable distribution of water along the width of the freeze plate. The freeze plate can be mounted in an ice maker enclosure in thermal communication with the evaporator and to slant forward.