Circles Circles Circles: geometry review – my son knows the vocabulary of circles (radius, diameter, circumference and the concept of π) and can now find the circumference and area of a circle if given the measurement of the radius. We are able to work in the abstract, but we’ve done our share of figuring circumference and area of of pizzas, pies, and crop circles.
Crop Circles! Inspired by the “intergalactics” in “Gabby Duran and the Unsittables” – a clever, original, great read for us by Elise Allen and Daryle Conners (and now we are reading “Gabby Duran – Troll Control” – get this! A GIFT FROM ONE OF THE AUTHORS!!!! ), we wondered if there was proof of space aliens visiting planet Earth, so we took a bit of time to read up on crop circles (yay Wikipedia!) and view an array of photos. Well, my son learned the definition of “HOAX”, but rather than be disappointed that the crop circles were not evidence of visitors from the far beyond, we decided to be mightily impressed by the precision artistry yielded by the wide brush of a tractor. Wow.
Farmer Brown’s Crop Circle (story problem) – Farmer Brown has revved up the John Deere tractor and crafted a crop circle in the middle of his wheat field as a fun destination for his Halloween hay-rides. If the radius of his crop circle measures 100 feet, is the area of the circle larger or smaller than one acre (43,560 square feet)? If the horses pull the hay-ride wagon along the entire edge of the crop circle, how many feet will they cover? If Farmer Brown takes a photo of everybody in the center of his crop circle wearing alien masks will this be awesome? (answers at bottom of post)
Circling Back – We finished our Hannibal unit and here is what it boiled down to: in 218 BC, from Carthage (the northern-most tip of Africa), Hannibal led his soldiers, horses, and elephants northwest to the Iberian peninsula, east over the Alps, south to Rome, and finally ended up, full circle, back in Carthage and guess what? After 17 years of fighting, ravaging countless villages, and 720,000 soldiers dead: nothing gained. NOTHING.
We needed music that reflected despair and regret for the families ruined by Hannibal’s insane drive to obliterate the Roman Republic.
- “Adagio in G minor for Strings and Organ” by Tomaso Albinoni. MUSIC CONTROVERSY: although the piece is attributed to Albinoni, who wrote fragments of the composition in the early 1700s, apparently Remo Giazotto actually pulled the piece together in 1958. This funereal work has been used in over 25 movies; sort of the go-to music for weepiness. This performance is outstanding:
- “Serenade” by Franz Schubert, finished in 1828, just one month before Schubert passed away (SYPHILIS) (OH DEAR). No one can be cheered by this somber waltz of death – and take a gander at this semi-creepy, gloom-filled film clip:
- “Symphony No. 3 in F major”, movement III, by Johannas Brahms, composed in 1883. Searingly sad. Monumentally beautiful. (Insider note: this movement served as inspiration for Carlos Santana’s 1999 piece, “Love of My Life”):
Welcome to the best part of my day!
– Jane BH
(story problem answers: smaller, 628 feet, YES this will be the highlight of the evening)
So clever! One lesson circling around to include another.
Sent from my iPhone Madalyn Jones
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Thanxxxx Maddie! ❤️❤️❤️❤️
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