Hi Nigel,
Thank you so much for the response, I greatly appreciate it. So to be a little more specific, our games are interactive HTML5 games that the child plays on our website. So even though creating a subcategory based off brand does not apply, the same logic still applies for the site structure. So if I am understanding you properly, we are ok keeping the games using the sub category "kindergarten" and then targeting keywords using descriptive content for the games based off their attributes.
Site>Kindergarten Games>Vowel Game1 (attribute= letter sound)
Site>Kindergarten Games>Vowel Game 2 (attribute= identifying the vowels)
Site>Kindergarten Games>Vowel Game 3 (attribute= matching upper and lowercase vowels)
Site>Kindergarten Games>Vowel Game 4 (attribute= letter and image match)
My only concern though is whether the attributes (long tailed keywords) in the eyes of the search engines are considered semantic variations and still close enough to cause cannibalization. Also, will they compete against each other for the broader, more heavily searched terms, like "vowel games."
Once again, thank you very much for your help. It is very much appreciated when you are trying to learn a new skill to have experienced people share their knowledge.