Dear Parents,
A daily math question is being posted here. The questions cover Grade 7 and Grade 8 Common Core State Standard math topics. This is for diagnostic purposes only. Students should do their best and submit work that reflects what they know. Please contact me if you have any questions. Thank you for your support, Tim McCarthy |
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Want to be a great coder? Just dare and do. | |||
Georg Alexander Pick was born August 10, 1859 in Austria. He died in the Theresienstadt concentration camp during World War II. He is best known for the elegant formula to find the area of a lattice polygon, a polygon whose vertices are lattice points. Dividing figures into simpler shapes: triangles, rectangles, etc. is a good approach and what is usually taught in school, but his discovery involves simply counting the number of lattice points in the interior (I) and on the boundary (B). Area = I + B/2 - 1. | |||
August is the month in which the mathematician Pierre de Fermat was born (August 20, 1601). He was a French lawyer who studied math in his spare time. He is considered by many to be one of the greatest mathematicians of all time. A few years ago on August 17th, Google commemorated Fermat's birthday with this doodle. According to my copy of E.T. Bell's Men of Mathematics, the exact date of his birth is unknown; the baptismal day was August 20th. |
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There is a paving stone on the sidewalk leading to the New Providence Library with the beginning digits of pi. This proves there are at least two math geeks who visit this library. One of them took this picture! Pi is an irrational number, meaning it cannot be expressed as the ratio (a fraction) of two whole numbers. This was first proved by Johann Lambert in 1768. Over 2,000 years ago, Archimedes showed that pi is between 223/71 and 22/7. The rational number 22/7 is a widely used approximation for pi. | |||
The Heat Index (HI) is a measure of how hot it really feels when the effect of humidity is added to the temperature. The formula to calculate the heat index uses many algebra concepts including positive and negative exponents and scientific notation.
HI = -42.379 + 2.04901523T + 10.14333127H - 0.22475541TH - 6.83783×10^{-3}T^{2} - 5.481717×10^{-2}H^{2} + 1.22874×10^{-3}T^{2}H + 8.5282×10^{-4}TH^{2} - 1.99×10^{-6}T^{2}H^{2} where T = temperature (°F) and H = relative humidity (%). For example, if it is 90°F and the humidity is 90%, it feels like 122°F. |
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World Language students, try reading this site in Spanish or French. |
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