Teaching: from Microeconomics to Open-economy macro
This is for Micro, entirely based on my own opinion and experience. 

Syllabus:

The most useful topics would be those on production and cost and perfect competition. I see no point of talking about utility theory unless you will be covering intertemporal choice. This and basic demand-supply. If you will be covering ISLM, you might find it a good idea to discuss "shifting a curve versus moving along a curve" with demand-supply prior to moving to ISLM. 

Books:
I personally find useful The Applied Theory of Price by Deirdre McCloskey. The math (read calculus) was usually in the footnotes or appendix and I really did not need calculus to cover almost all of the standard chapters - Consumer Behavior, Perfect Competition, Monopoly etc. The exposition was intuition based. 

However, having used this book as an instructor, I personally needed to actually read and work through the examples before teaching it to my students - some of them could require a bit of very careful thinking. 

The book is available on the author's webpage: http://www.deirdremccloskey.com/books/index.php

Depending on how much calculus you want to show your students, other open source books on micro could be the one by McAfee https://www.mcafee.cc/Introecon/
and the one by Yoram Bauman (can't find the link to it)