The children should be familiar with dominoes through free-play and domino games before attempting more formal tasks such as pattern building. Begin with single patterns, that is, keep one end of the dominoes constant (as in all sixes, all blanks, all ones etc.). Having two patterns running at the same time is quite a challenge for the very young, but children as young as four-and-half can manage it quite enthusiastically. Another way to challenge the children is to locate the missing elements within the sequence, rather than just at the end. Activities such these are about logic and reasoning as well as counting and number sense, so some children do find them quite difficult. These children would benefit from saying the numbers in the sequence out loud to reinforce the familiar counting patterns.
Encourage children to build and explain their own patterns. You may just be surprised by the complexity of their thinking!
The examples given in the problem are clearly designed for quite young children who have basic counting skills, but more complex patterns can be devised to challenge more advanced children. For example, include addition or subtraction, odds and evens, patterns that build row-by-row, or grid patterns (see below).