While searching lds.org I came across the Doctrine and Covenants Manual that had a section about the Articles of Faith. Learning to listen to the prophets and apostles and then applying it to our lives is a great skill to have.
Quotes from Prophets and Apostles about the Articles of Faith
I would recommend reading the quote and then asking your child what they think it means, or how it applies to them. If they are younger or need more help reread certain parts of the quote that might be easier for them to understand.
Follow that with reciting the Article of Faith and then connecting it all together!