Personally I don't sort my tasks into hierarchical structures by hand but use the aggregation via org-agenda.
Judging from your presented lines, the entries under Monday are checkboxed lists or TODO childs.
Coming from checkbox lists I'd sort by reverse checked state with
org-sort (C-c ^) X, convert the open entries to Todo child entries
org-list-make-subtree (C-c C-*), mark the open lines by hand and refile the region to the running clock task
org-refile (C-u 2 C-c C-w) when the Tuesday task is clocked in. If your child entries are already todo child entries the argument for
org-sort changes to
todo order (o) or its capital version.
You can change TODO children back to checkbox lists with
org-ctrl-c-minus (C-c -)
I have not yet found out how to move a list of checkbox entries if the cut and paste is not done by hand. If you're willing to do that, sort the list, cut the interesting stuff and
org-clock-jump-to-running-clock and paste.