Warm-up #4 What were some of the famous works of Michelangelo? What were some of the famous works of Leonardo da Vinci? What Italian City State did both of these masters begin their careers in?

Unit: The Renaissance Topic: Education Advances EQ: In what ways did the Renaissance advance education?

Mathematics 2 major ideas pushed interest in Mathematics 1. Need for accurate accounting by merchants 2. Scholars believed mathematics could help explain the universe Began to study ancient math texts Built upon ideas

Mathematics Luca Pacioli was the first to publish symbols for + and – The symbol for square root √, was also developed during this time period.

Engineering Advances in mathematics allowed engineers to: Improve techniques Use new formulas to strengthen buildings Da Vinci spent hours dreaming up wild and curious inventions. Write an example of one of da Vinci’s inventions…

Architecture Architects were also able to use these new mathematical concepts to strengthen buildings. as well as create structures that had previously been considered impossible. Brunelleschi designed a huge dome for the Santa Maria del Fiore cathedral in Florence. This would become known as Il Duomo

Astronomy Nicolaus Copernicus came up with the radical idea that our solar system was heliocentric (having the sun as the center). Galileo Galilei was able to craft[ed] telescopes that enabled him to see the moons of Jupiter and the craters on our Moon.

Cartography The invention of printing made maps much more widely available Cartographers (mapmakers), used measurements and calculations to create more accurate maps. Gerardus Mercator of Flanders developed a cylindrical projection that is still widely used today

History History was one subject that received extra attention during this period. Renaissance scholar named Petrarch wrote about the importance of history: “What can said in defense of men of education who ought not to be ignorant of antiquity (ancient times) and yet are plunged in darkness and delusion?” Petrarch’s ideas would emphasize the importance of history in education.

Did the Renaissance really happen?