I have begun to work through North and Hillard’s Greek Prose Composition. It’s a great little book, published over 100 years ago, that was once commonly used in schools for teaching children to write Greek. It offers exercise-by-exercise vocabulary lists, a English to Greek vocabulary list, and 175 composition exercises, beginning with simple sentences and working toward the composition of long paragraphs. This book teaches composition in what appears to be Attic Greek, which precedes Koine. Some forms are different, but for the most part it is easy enough to transfer over from Koine to Attic.