Multiplying Integers

We have made a big deal of the times table and of other tables.Now we extend the times table to negative numbers and thus to all 4 quadrants of the real number space. We hope to build student intuition about this space and to gain a spatial sense of graphing as well as of multiplication. So we as usual focus on patternmaking and take students through extending the table first left by rows and then down by columns before we have them build the table as a whole. We moved the axes to the outside so that we do not interfere with the table. There are many things you can do with such a table and we urge you to explore it.