Just like the other titles in the Groundworks series, Reasoning with Geometry centers on the big ideas of geometry. The five big ideas in Reasoning with Geometry are:
The text contains 12 different sets of problems. A set refers to a specific type of mathematical reasoning problem. Each set contains six different problems for ample practice reinforcement. With 12 different sets of six problems, each text totals 72 different mathematical reasoning problems.
Each problem set consists of eight pages and begins with a teaching information page. This page contains several features to help guide the teacher through the activity, either as a class or individually. Following the teacher page are six pages of student problems, each containing one problem, all addressing the same concept. The final page in the problem set is a solutions page.