Abu Bakr Muhammad ‘ Abdallah ’ Ayyash al- Hassar. Al-Hassar. Brief History.
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Al Hassar was believed to have lived during the 12th century. He specialized in Islamic Inheritance Jurisprudence and was from the Maghreb (region of North Africa). It was believed that he taught mathematics in the city of Septa, located in Africa.
He is known to develop the modern symbol for fractions, which is the use of a horizontal line (―) where the numerator and denominator are separated.
1. Book of Demonstration and Memorization:
Calculation manual dealing with arithmetical operations on whole numbers.
2. Complete Book on the Art of Numbers:
It discusses about the breakdown of a number into prime factors, on common divisors and on common multiples.
* Only 1 of the 2 volumes presently exists.
--- Information from the encyclopedia of the History of Science, Technology, and Medicine
Al Hassar enjoyed breaking down whole numbers to create equivalent forms, fractions.
1. Identify the fractional pattern in the left hand column. Continue the pattern using fractional names.
2. In each row, use the colour markers provided to shade in the desired number of boxes:
*Column 1 and 2 colour one box
*Column 3 and 4colour two boxes
*Column 5 and 6colour three boxes
*Column 7, 8, and 9colour five boxes
3. Write, in the right hand column, the fractional form of what your coloured boxes represent.
4. Identify any equivalent fractions found on your handout.
Write in your own words (discussing with shoulder partners) a definition of Equivalent Fractions, and draw a picture of equivalent fractions.