Gathering Blue by Lois Lowry (Giver Series)

Yes, the Giver IS part of a series, or "companion books" as the author calls them. This book is my favorite of the series. Here's a short quote:

"In some places on the robe there was a feeling of entire worlds ending. 
Yet always there would emerge, nearby, new growth. New people. 
Ruin. Rebuilding. Ruin again. Regrowth. 
Kira followed the scenes with her hand as larger and greater cities appeared
and larger, greater destruction took place. 
The cycle was so regular that its pattern took on a clear form."