Here is a collection of top free and paid learning iOS apps for your children.  

BrainPOP Featured Movie ratings and reviews, features, comparisons, and app alternatives
BrainPOP Featured Movie
★★★★★
Free

FlashCardBlitz ratings and reviews, features, comparisons, and app alternatives
FlashCardBlitz
$0.99

Hands-On Equations 1 - The Fun Way to Learn Algebra ratings and reviews, features, comparisons, and app alternatives
Hands-On Equations 1 – The Fun Way to Learn Algebra
$4.99

Wee Kids Math ratings and reviews, features, comparisons, and app alternatives
Wee Kids Math
$2.99

Counting and Addition ! Math educational games for kids in Preschool and Kindergarten by i Learn With ratings and reviews, features, comparisons, and app alternatives
Counting and Addition ! Math educational games for kids in Preschool and Kindergarten by i Learn With
Free

Epic Math ratings and reviews, features, comparisons, and app alternatives
Epic Math
$1.99