The preliminary findings resulting when invented algorithm is used with entry-level students while introducing linear equations is described. As calculations are accessible, the algorithm is preferable to more rigorous statistical procedures in entry-level classrooms.

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph.

Students are asked to analyze a photo of a beer stein, computing volumes and areas based on the photo.

Counting can be done using a linear, exponential method or by using a technique incorporating a recursive process which gives a visual analysis of population data. Population estimates are based on assumptions about change brought about by immigration, emigration, deaths and births.

The greatest benefit of including leap year in the calculation is not to increase precision, but to show students that a problem can be solved without such presumption. A birthday problem is analyzed showing that calculating a leap-year birthday probability is not a frivolous computation.