We will be regularly adding new episodes (lessons and practice) to Amplify Fractions through April 2018. For reference, here is how the current slate of content maps to educational standards:
Here is a more detailed look at how the first 15 episodes align with Common Core Standards.
The first strand reviews the concept of partitive division. The first episode, Fair Sharing, tackles equipartitioning of discrete sets of objects and relates it to division. The second episode, Dividing Length, similarly explores equiparitioning of linear arrays of discrete objects.
Together, these two episodes map to standards on understanding multiplication and division:
The next strand of episodes dives into various representations of unit fractions, including rectangular area models (Dividing the Whole), circular area models (Circles), other symmetric area models (Shapes), and one-dimensional lengths (Length). The final episode in this strand (Outside the Whole) relates unit fraction amounts to other unit wholes, not necessarily one that was equipartitioned.
The next strand covers non-unit fractions, including: proper fractions (Part-Whole), Improper Fractions, Mixed Numbers, and non-unit fractions that are Outside the Whole. The strand also includes an episode that explores the relationship between Fractions and Division, a more advanced concept that is worth seeing early on. Taken together, these episodes map to some of the "meatiest" standards:
The next strand of content completes the first set of 15 episodes. These episodes involve placing fractions on the number line according to their Distance from Zero, strategies for locating Fractions on the Number Line, as well as for Mixed Numbers on the Number Line. These episodes map to the following standards: