Conducting a science experiment on calculating instruments and measuring devices may be one of the most basic of math-related science fair options. Delve into the past when tools such as the soroban, the abacus and the slide rule were used, and develop a hypothesis. Like, is the modern calculator more efficient than the ancient abacus? Or why do scratch, doubling and summing methods of multiplication continue to be effective today? You can even ask the question about how computers work, using a combination of math and science.
You will often see the subject of numeration at upper-grade science fairs. While students may have a good idea about how a numeration system operates, they may not know the development and theories behind it. This can make for an interesting science project loaded with math elements. One example would be how vital languages such as Braille and Morse code are related to numbering systems. Researching the ancient ways of counting and keeping records or attempting to create your own number system can also have compelling results.
Motion geometry is a fun option for a science fair, because it often involves animated displays that catch the attention of parents and judges, and also allows the student to actively illustrate a common occurrence. One may choose to provide everyday examples of where motion geometry is found, while others may prefer a more picturesque project such as discovering the intricacies of mathematical movement within a kaleidoscope.