Visual Review of Fraction Operations Daniel Mentrard wrote these applications using GeoGebra. Addition of fractions https://www.geogebra.org/m/ksxuvju4 The Addition of Fractions algorithm can be enhanced by using the LCM (LCD) method to find same denominator. This would reduce efforts in simplifying fractions. Multiplication of fractions https://www.geogebra.org/m/rpgrwhcr Proof without words: Division of fractions https://www.geogebra.org/m/jpuczhmw Political Cartoon Party Symbols Party symbols drawn from the natural world helped to dramatize political issues to reach 19th century Americans, including those who could not read. The donkey (also known as a jackass) as a Democratic symbol dates back to the late 1820s, when Whig attacks against Andrew Jackson rendered his name as “A. Jack-ass.” Harper’s Weekly featured Thomas Nast’s Democratic donkey for the first time in 1870. Nast had often used the symbol to represent ignorance. Nast featured an elephant for the first time in 1874 to represent the Republican vote. He rendered the animal, unsure of its own weight, plodding through planks representing its own party platform. Nast’s elephant and donkey appeared together in a cartoon for the first time in 1879. From <https://americanhistory.si.edu/democracy-exhibition/machinerydemocracy/enduring-popular-images-and-party-symbols-0> What is a Leap Year? The following pseudocode determines whether a year is a leap year or a common year in the Gregorian calendar (and in the proleptic Gregorian calendar before 1582). The year variable being tested is the integer representing the number of the year in the Gregorian calendar. if (year is not divisible by 4) then (it is a common year) else if (year is not divisible by 100) then (it is a leap year) else if (year is not divisible by 400) then (it is a common year) else (it is a leap year) The algorithm applies to proleptic Gregorian calendar years before 1, but only if the year is expressed with astronomical year numbering. It is not valid for the BC or BCE notation. The algorithm is not necessarily valid for years in the Julian calendar, such as years before 1752 in the British Empire. The year 1700 was a leap year in the Julian calendar, but not in the Gregorian calendar. From <https://en.wikipedia.org/wiki/Leap_year> In recognition of this once-every-four-years occasion, here are some Leap Day facts you should know: Leap Day was invented by Julius Caesar—basically. He used the Egyptian solar calendar to reorder the Roman calendar and decided to add a day to every fourth year to account for the fact that the earth doesn’t rotate around the sun in precisely 365 days; The odds of being born on February 29 are 1 in 1,461. This means there are only about 5 million people in the world who are born on Leap Day. The twin cities of Anthony, Texas and Anthony, New Mexico each hold a four-day Leap Year festival that includes a huge birthday party for all the “leaplings”; Leap Day is also known as “Bachelor’s Day” in some places. According to legend from 5th Century Ireland, St. Peter designated February 29 as the only day that women would be allowed to propose to men.
