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ocmt page 12 The Original Charleston Math Trail #2 31 Legare St. - Library Ghost House Mrs. William Heyward, a successful rice planter and sister-in-law of Thomas Heyward, signer of the Declaration of Independence, built this house in 1789. Legend says that the ghost of her son, who was fatally shot in a hunting accident, haunts the house. At the hour of his death, his sister reported that she saw him in the library of the house. In later years (1830-1837), Mrs. William Drayton (Mrs. Heyward’s daughter) allowed a school for young girls to operate in the house. In 1870 this house was sold to Augustine Smthye whose descendants still live here. 1. Add 7 to the sum of the digits in the date this house was built. 2. Evaluate: 2 sin [(# of current location)º - (# of sisters)º] + # of current location

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Page 1: The Original Charleston Math Trail #2 31 Legare St ...stemfestchas.weebly.com/uploads/2/5/4/6/25461370/ocmt2.pdfThe Original Charleston Math Trail #2 31 Legare St. - Library Ghost

ocmt page 12

The Original Charleston Math Trail #2 31 Legare St. - Library Ghost House Mrs. William Heyward, a successful rice planter and sister-in-law of Thomas Heyward, signer of the Declaration of Independence, built this house in 1789. Legend says that the ghost of her son, who was fatally shot in a hunting accident, haunts the house. At the hour of his death, his sister reported that she saw him in the library of the house. In later years (1830-1837), Mrs. William Drayton (Mrs. Heyward’s daughter) allowed a school for young girls to operate in the house. In 1870 this house was sold to Augustine Smthye whose descendants still live here. 1. Add 7 to the sum of the digits in the date this house was built. 2. Evaluate: 2 sin [(# of current location)º - (# of sisters)º] + # of current location

Page 2: The Original Charleston Math Trail #2 31 Legare St ...stemfestchas.weebly.com/uploads/2/5/4/6/25461370/ocmt2.pdfThe Original Charleston Math Trail #2 31 Legare St. - Library Ghost

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Legare Street - Sword Gate House The Sword Gates at this house afford an opening through Charleston’s highest garden wall. Legend says the high wall was built to prevent elopements when it was an antebellum home for girls. A 15-year-old daughter of a wealthy Edisto Island planter caught the eye of a New Yorker; however, as a Yankee, he was completely unacceptable to her parents. The young man was ordered to stay away but moved in with a family on a neighboring plantation. The girl’s father took her to Madame Talvandes’ school on Legare Street. On a spring day, she maneuvered her skirts over the fence and eloped. The high walls went up but the wooden gates remained until 1849. George Hopley, who purchased the property in 1849, added the famous Sword Gates. The gates, made by Christopher Werner, had been designed for the Guard House at Broad and Meeting Streets. When Werner made an extra pair, Hopley purchased them for his property. The crossed swords in the design represent authority.

1. Multiply the bride’s age by 10, then subtract 1 less than 3 times her age.

2. Evaluate: (girl’s age)2 – 3(# current location) - digits of the current location reversed.

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Tradd Street - Stuart House This house was built before 1772 for Colonel John Stuart of the American Revolution. It is a 3 and ½ story wooden home with a “captain’s walk” or “widow’s walk” on the top story. Colonel Stuart was the Royal Commissioner of Indian Affairs for an area stretching from Virginia to Florida. Because he remained loyal to England, his house was confiscated by Patriot authorities and quartered a Patriot officer. Tradition says that General Francis Marion (a teetotaler) attended a party here and was forced to leap from a window to escape the drunken host who refused to let his guests leave until they were drunk. General Marion broke his leg from the fall and was recuperating at his plantation, thus avoiding capture when the British seized Charleston in 1780. 1. Let x = # of stories in the house and let y = sum of the digits in the year the house was

built. Evaluate: 10

12 +xy

2. As General Marion leaped from the balcony, his path took the shape of a parabola

with the equation f(x) = -6x2 + 10. Find the coefficient of x in the negation of f′(x).

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__ Orange Street – Jonathan Badger Tenement Jonathan Badger, a Charleston cabinetmaker is credited with the construction of this 3-story Georgian style house in 1775. The original house consisted of 2 bays and a central stairway. In the 19th century a dining room was added and it was not until the early 20th century when the original 2-story brick out building was attached to the main house. Alexander Petrie developed Orange Street in the 1760’s on property that was once Dr. Samuel Carnes orange garden. This street is considered a rare surviving example of a late colonial period residential development. Many of the original structures still remain.

1. Assign the letters of the alphabet to numbers, for example A = 1, B = 2, etc. Determine the sum of the letters in the street name and multiply by 2.

2. Let n = the probability of choosing a vowel from the letters in the street’s name and let

m = # of arrangements of the letters in the street’s name. Evaluate the product of m and n, then divide the result by 3.

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Broad Street - Cathedral of St. John The Right Reverend John England, Bishop of Charleston for the Roman Catholic Church, built a simple wooden chapel on this property, which he purchased in 1821. England was the first bishop of the Diocese that included approximately 1000 Catholics in South Carolina, North Carolina and Georgia. A larger Cathedral was built on the site between the years 1850-1854, but was destroyed by the Great Fire of 1861. Sadly the fire insurance on the Cathedral had lapsed. For many years the congregation worshipped elsewhere, until 1890 when the present Cathedral was started with a bequest of nearly $50,000 from John McKeegan. A company from Munich, Germany made the stained glass and the design was patterned after German Gothic churches of the 14th century.

1. Evaluate: # 4#

current streetof windows above the main door

2. Let n = # of windows above the main door.

Evaluate:

−∫

n

dxxx0

2 23 - 100

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Meeting Street - St. Michael’s Episcopal Church This is the oldest church structure in Charleston representing God’s Law on the southeast corner on the four corners of law. It is one of the most important 18th century Colonial Georgian buildings in the nation. The builder, Samuel Cardy, laid the cornerstone on February 17, 1752 and the church was opened for services on February 1, 1761. Tiffany windows were installed in 1906. The clock, one of few existing Aynsworth Twaites in the world, along with the ring of eight brass bells, was imported from England in 1764. The bells have crossed the Atlantic five times. They were returned to England as spoils of the Revolutionary War, bought by a London merchant and shipped back to Charleston. Then in an attempt at safekeeping, the bells were shipped to Columbia during the Civil War, but were damaged by the fire there and then shipped back to England for recasting. The tower of St. Michael’s served as a Colonial lighthouse, an observation tower in the Revolution, a signal post in the Civil War, and as an air raid siren station during World War II. The original box pews, which were rented to church families, still remain. Pew # 43 was reserved for visiting dignitaries such as George Washington, the Marquis de Lafayette, and Robert E. Lee. 1. The steeple of this church is made of five parts with the three middle parts having the same geometric shape. Evaluate: (# of columns)(# of sides on the three middle parts) + 2(# of columns) + # of steeples. 2. The steeple of this church is made of five parts with the three middle parts having the

same geometric shape. Find the central angle of a cross section of any one of these three parts and add it to the measure of one angle in an equiangular triangle.

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Meeting Street - Hibernian Hall Hibernian Hall was built in 1839 for $40,000 from the designs of a Philadelphia architect, Thomas U. Walter, who is best known for adding the great dome to the U.S. Capitol Building. The original portico collapsed in the earthquake of 1886 and was rebuilt in more elaborate form. The Irish harp is contained in the panel above the door as well as the overthrow of the iron gates. The ironwork design is attributed to Christopher Werner of Charleston. The Hibernian Society was formed in 1801 as an Irish Benevolent Society. Presidents of the society alternate between Catholic and Protestant, and membership is passed only from father to son. In early 1861, the state legislature temporarily moved to Charleston and met in Hibernian Hall. During this stay they adopted the state flag that has since been used in South Carolina. Of all the social functions held in Hibernian Hall, the St. Cecilia’s Society Ball is still the most famous. 1. Evaluate: 3(year hall built - year society formed) + 2 2. The Irish harp above the door appears to be made of gold. Solve this equation to determine a possible weight in ounces of the “gold” Irish harp. x2 – 113x –348 = 0.

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Meeting Street - Old Lower Fire Station Built in 1887, the Flemish-bonded brick structure was completed at a cost of $7,000 as a strategic move to strengthen the City’s central fire warning system. The tower at the rear of the property contains a 2,500-pound iron bell. The bell was used for everything from alerting citizens to fire and hurricanes to notifying the public about important national events, and until 1927, as a means to tell time by tolling daily at 12:00 Noon. The Old Lower Fire Station has been converted to city offices; however, it remained active as a fire station, keeping watch over its citizens, until 1953. Today, the bell is silent except when used ceremonially. It most recently rang 343 times, once for each firefighter lost in the September 11th World Trade Center tragedy.

1. Evaluate: present address minus 3, added to 2(day last commemorated by the bell) 2. Consider a semicircle like the ones above the large windows on the ground level.

If this semicircle represents the unit circle from 0˚ to 180˚, find the cos-1

−2

2

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Church Street - Dock Street Theatre The Dock Street Theatre is located in the shell of the old Planter’s Hotel which was famous food as well as being the birthplace of Planter’s Punch. In 1838 an infamous guest of the hotel, Junius Brutus Booth allegedly attempted to murder his manager in one of the hotel’s rooms. The original Dock Street Theatre, which was the first building built specifically for theatrical performances in America, raised its curtain February 12, 1736 with a production of The Recruiting Officer. In 1935, the City of Charleston, as a Works Progress Administration project, remodeled the old Planter’s Hotel property as the new Dock Street Theatre. Dorothy and DuBose Heyward were in attendance when the Theatre reopened on November 26, 1936 with a repeat performance of The Recruiting Officer, photos of which ran in the newly established Life magazine. The plaster in the Theatre predates construction (1806) and was salvaged from the Ratcliffe-King House slated for demolition farther up the street. 1. Write the date the Theatre reopened as 11/26/1936. Add the digits in the date,

multiply by 5 and add 1. 2. The Dock Street Theatre is still a working theatre and must sell tickets in order to exist. If students are charged $12, adults are charged $15, and 200 tickets are sold for

a total of $2838, how many adult tickets were sold?

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Church Street - St. Philip’s Church The “Mother Church of the Colony,” organized in 1680, is the oldest congregation in the city. Legend says that the first minister, in an inebriated condition, was accused of christening a young bear in 1682. The congregation moved to this site in 1722, a building hailed as “…unsurpassed in architectural beauty by any edifice in the union.” The church caught fire in 1796, but was saved by a black boatman who ripped burning shingles from the roof. As a reward, he was given his freedom. The church caught fire again in 1835 and this time it was burned to the ground. Reconstruction began immediately, incorporating many of the original building’s features, notably the triple Tuscan portico. The church has two cemeteries; the one closest to the church is reserved for those folks lucky enough to be born in Charleston. Even the great Vice-President, John C. Calhoun, could not be buried on the “local” side due to his place of birth. 1. Find the congregation’s age at the time of the fire in 1835 then add the number formed

by the tens and ones digits of the year it burned. 2. Find the area of the space in the front door between the inset squares and rectangles if

the door is 12 feet by 4 feet, the area of each square is 292.7 square inches and the area of each rectangle is 400 square inches. Round your answer to the nearest whole number.

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_____ East Bay Street – Custom House With funds appropriated by Congress in 1848, the site of Fitzsimons’ Wharf was bought in 1849 to build the US Custom House. During excavation of the basement, the remains of Craven’s Bastion, a colonial-era fortification, were found. The building’s construction, interrupted by the Civil War, was completed in 1879 as it is today. Marble was used for the two upper floors. Roman Corinthian porticos, engaged columns, and entablature (the section that lies between the columns and the roof) surround the cruciform (shaped like a cross) building. Emile T. Viett carved the marble capitals and decorative work. Congratulations! You have completed your Math Trail. We hope that you were able to

work the problems, learn some history and most of all had fun doing math with friends.