This document contains notes from mathematics lessons 12 and 13 on rational numbers and ordering positive and negative numbers. Lesson 12 discusses how the order of positive numbers corresponds to the increasing order of their absolute values, while the order of negative numbers corresponds to the decreasing order of absolute values. Lesson 13 applies these concepts to real-world scenarios involving changes in temperature, debt, credit, and depths compared to heights above or below sea level. An example problem uses absolute value to compare the lengths of rope above and below water for a fishing vessel.