The Original Charleston Math Trail #5 2 Meeting Street InnThe house was restored in 1929 by the Charleston Museum and the Preservation Society of Charleston and is operated as a house

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The Original Charleston Math Trail #5

2 Meeting Street Inn Mr. Waring P. Carrington acquired the site for this home in 1889, however construction did not begin until 1890. It was upon the occasion of his marriage to Martha Williams (daughter of George Walton Williams of the Calhoun Mansion) that Mr. Carrington’s father-in-law gave the couple the vast sum of $75,000 with which to build their first residence. For their fifth wedding anniversary, Mr. Carrington purchased two beautiful Tiffany floor-to-ceiling stained-glass panels, which are still part of the home today and can be seen in the first-floor sitting area of the Inn. This Queen Anne style gem affords one of the most spectacular views of White Point Gardens and the Charleston harbor in the city. 1. Find the sum of the street number of this house and the number of floor to ceiling

Tiffany stained glass panels in this home. Then square that number. 2. If the radius of the arches across the porch is 8 ft., the distance between the

supporting pillars is the same as the next address on Meeting Street.

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Meeting Street- Calhoun Mansion When construction was completed in 1876 at a cost of $200,000 (quite a considerable sum of money in that time), an article in the News and Courier hailed the home as, “the handsomest and most complete private residence in the South.” Spanning some 24,000 square feet, the home is considered the largest single-family residence in the city. The style incorporates Italianate and Renaissance Revival styles. The structure features sweeping piazzas; walnut, oak and kingwood woodwork; fireplace and floor tiles by the Minton China Company; and a crystal ceiling in the second floor music room. Augusta, Georgia merchant George Walton Williams built this home. His daughter later married the grandson of Vice-President John C. Calhoun. 1. Take the area of the floor space in this large home and divide it by 1000. Then

subtract half of the floor number for the location of the crystal ceiling music room. 2. Above each window is a segment of a circle. Assume that the radius of this circle is

9 feet and the central angle of the sector is 90º. Using π = 722 , find the area of the

segment. Round your answer to the nearest integer.

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,_____,____ Meeting Street – Three Sisters’ Houses These houses are a group of Charleston single houses, built by a father to attract potential suitors for each of his three daughters. True to single house fashion, each house has one end that faces the street. All are three-story dwellings, have wrought iron balconies overlooking the street, and pretty gardens viewable through wrought iron gates. Albert Delmar is credited with building 23 Meeting Street around 1750. The molding above the top windows is often referred to as the “eyebrows” of this house. The first of the trio, 25 Meeting Street, was built while Charleston was still a colony. The second, 27 Meeting Street, has a basement that raises the first floor higher than the other two houses and has a hip roof. This last house was constructed after the Revolutionary War. 1. In the building date for the first house, add the digits in the thousands and hundreds

places together. Then multiply by the digit in the tens place. Finally, add the sum of the digits in the street number.

2. If the area of one of the circles in the gate is 64π square inches, let r = the radius of

the circle. Find the measure of a central angle in a sector of a circle that is divided into r sectors.

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Meeting Street - Philip Simmons Iron Work A local French Huguenot family, the Chazals, built this Victorian gem in 1889. Dr. Chazal was a participating doctor at the local Medical College. The mansion remained in the Chazal family until 1966 when it was sold to the present owner who began an extensive restoration project. The original portico was removed and double wooden front doors with folding screens were added, as was the rounded brick terrace. The original transom was moved to become the front basement window, now visible at the lower left side of the building. It was also at this time that the local legendary blacksmith, Philip Simmons, was commissioned to design the new ironwork for the house. Mr. Simmons, born on June 9, 1912 on Daniel Island, is responsible for much of the ironwork added to Charleston structures and public buildings in the twentieth century. The pattern he developed for this home incorporates scrolls and hearts for the front gate, fencing, terrace portico, and lower level window grilles. The upstairs window grilles are a mixture of geometrical patterns including circles and rounded rectangles. 1. There are 7 panels in the fan design of the ornate ironwork near the entry. Square the

number of panels and add 2. 2. If the square surrounding the circular design in the gate has a perimeter of 136 inches,

then determine 3 times the radius of the circle.

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Meeting Street – Nathaniel Russell House Nathaniel Russell was a Northern expatriate who engaged in the import-export business. He was one of the wealthiest men at the time. Legend holds that this mansion was built to be a beautiful backdrop for his two available, but less than attractive, daughters. If true, this ploy was successful. This mansion faces the street, a departure from the single house style popular in Charleston. It is well known for its "flying" staircase and second story balconies. The exterior is a study in contrasts using two kinds of brick, wrought iron, wood, and marble. Today, the Historic Charleston Foundation operates this house as a museum. 1. Let x = the number of Russell’s daughters and y = this address. Evaluate: xy – 15

2. Suppose the outer radius of a brick arch over a 2nd story window is 2 feet. Using 722

for π, find the length of the outer semicircular arc for one window. Multiply this result by seven and add the street number for this address. From this result subtract

8·sin-1 2π .

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Church Street – Heyward Washington House The Heyward Washington House is located in the downtown Historic District, within the area of the original walled city. Daniel Heyward, a rice planter and founder of a prominent rice-planting dynasty, built the brick double house in 1772. He removed a two-story brick house from the site but may have kept the existing outbuildings. The house was the home of his son Thomas Heyward, a signer of the Declaration of Independence. President George Washington stayed here on his visit to the city in 1791. During the late 19th century, the lower left corner of the house was converted to a bakery. The house was restored in 1929 by the Charleston Museum and the Preservation Society of Charleston and is operated as a house museum by the Garden Club of Charleston. 1. Find the difference between the years George Washington stayed in this house on a

visit and the building date. Now subtract one less than the number of stories in the house from that difference.

2. Let x = the radius of the semicircle above the door, given that the area of the semicircle is 2π. Determine ½ the slope of the tangent line to the function

y = 3x3 – 2x at x.

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Chalmers Street – The Pink House Research indicates that John Breton constructed the “Pink House” between 1694 and 1712 as a tavern. It is constructed partly of Bermuda stone, a coral limestone imported in blocks from Bermuda as building material. The building's gambrel roof is one of a few surviving in Charleston. It may be the city's oldest building and may have been used in the world's oldest profession, since 18th Century Chalmers Street was at the center of Charleston's "red light" district. The building, once the studio of artist Alice R. Huger Smith, later became a law office. 1. The colorful stone and the colorful history of the Pink House places it in the "red

light" district. If a traffic light is red for 60 seconds, green for 60 seconds, and yellow for 15 seconds, find the number of seconds in a complete cycle.

2. Let x = the total number of glass panes on the front of the house.

Evaluate: W(x) = 17x (x – 6)

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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. Let x = the number of years between the first performance in the Theatre and the

second performance of The Recruiting Officer in 1936. Evaluate: x – 64 2. Let n = the number of wrought iron archways on the front of the second floor balcony.

If y = -0.1(x – 2)2 + 27 is the equation for one of these archways, find n times the y- value of the vertex, then add one to this result.

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Church Street – French Huguenot Church Today the church stands as the first and last French Protestant congregation in America. The present building is Charleston’s first example of Gothic Revival architecture and was completed at a cost of $12,000. On the exterior, ornamentation such as buttresses and lancet windows can be evidenced, while inside, the railed chancel can be seen beneath the original 1847 Henry Erben organ. The church was called the Church of the Tides due to the fact the Dock Street (now Queen Street) was originally a tidal creek.

1. Divide the original cost of the church building by 1000 and multiply that number by itself or square it. Then add to that the ones digit of this street number.

2. For this problem, award 50 points for each true and 0 points for each false Visualize the curves above the lancet windows as a graph in the first quadrant on the interval [0, 10], and the vertex at P(5, 10). Determine whether the following are True(award 50 points) or False (award 0 points); then total the points.

a. The curve is continuous at x = 5. b. The curve is differentiable at x = 5. c. The graph (on 0<x<5) of the derivative of the curve is above the x-axis. d. The graph (on 5<x<1 0) of the derivative of the curve is below the x-axis. e. The graph of the derivative is continuous at (5,0).

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Meeting Street – Circular Church English Congregationalists, Scottish and Irish Presbyterians, and French Huguenots of the original settlement of Charles Town founded this congregation, known as the Independent Church, around 1681. Their second meeting house was built at 150 Meeting Street in 1732. About 1805, that hall was replaced by a circular structure, designed by architect Robert Mills, a Charleston native. The present church was named for Mills’s earlier church, which burned in 1861. The building is not really circular, but triapsidal (conjoining of circles and/or arches) much like the 11th century Church of the Apostle in Cologne. Designed by architects Stevenson and Green, the Romanesque church was constructed as the city was rebuilding after the 1886 earthquake, using brick from the earlier structure. The church is an excellent example of Romanesque style in its broad roof plane, ribbons of windows, short tower, and large arched entry. The graveyard is the city's oldest burial ground, with one monument remaining from the 17th century. Today's congregation is United Presbyterian Church, USA. 1. The circular stained glass window on the front of this church is filled with hearts. If

the area of one of these hearts is 25 square inches, then find the area of all the hearts. 2. Consider one of the towers of this church as a cylinder with a cone on top. Using the

radius of each to be 3 feet and the height of the cylinder to be 14 feet and the height of the cone to be 7 feet, find the volume of the entire tower. Then subtract 262 from

the volume. (Use 722 for π.)

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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.