WORLD LITERATURE SUMMER ASSIGNMENT

Transcription

1 WORLD LITERATURE SUMMER ASSIGNMENT Introduction to Afghanistan and the Taliban occupation in the Middle East This summer, your task is to gain perspective on the historical background of Afghanistan in regards to either the fictional novel, The Kite Runner, the nonfictional text, I am Malala, or The Dressmaker of Khair Khana. Please complete all of the activities on one continuous document, which will be submitted and discussed during the first week of school. Your final submission of written work, however, is due on Wednesday, September 6th promptly by 7am. I do not accept any late assignments for credit, so please plan your time accordingly to meet all academic deadlines. Please electronically submit your completed summer assignment to our Schoology page. A word in regards to plagiarism: any written intellectual property that is not your own must be cited. Not doing so is committing plagiarism, which is not only detrimental to your academic standing, but to your moral status as well. Please prioritize correctly citing any ideas that are not your own. Failure to do so will result in disciplinary consequences as well as a zero on the plagiarized assignment. If you have any question about correctly citing and crediting the intellectual property of another scholar, please do not hesitate to contact me for clarity. When you return to school in August, be prepared to analyze and discuss the following elements of the novel or memoir: plot, characteristics, conflicts, themes, setting, and use of dialogue. In order to adequately prepare for our first unit of study, please complete the following steps prior to the first day of school: 1. Before you begin reading and annotating your text, please read the article attached to develop a more thorough understanding of kite running. Regardless of the text you have selected, the kite running tradition is essential to understanding the social norms and cultural traditions of many Middle Eastern societies Obtain a personal copy of either The Kite Runner by Khaled Hosseini, I am Malala by Malala Wousafzai and Christina Lamb, or The Dressmaker of Khair Khana by Gayle Tzemach Lemmon. Please read and annotate your copy as you read. If you cannot buy a personal copy, please feel free to borrow one from a local library and take notes on either post-its or hand write them (with page numbers) as you move through the text. Upon returning in the fall, you will be writing a biographical essay based on the character of either Amir, Malala, or Kamila depending on the text you have selected. You will need to include the following components to ensure you adequately complete the assignment: A. Relate a sequence of events that occur in the text, as well as a relatable significance of the events that occur in your essay B. The location of specific scenes and incidents that occur throughout the book C. Descriptions with concrete sensory details about the sights, sounds, smells and feelings in scenes throughout the novel, as well as specific actions, gestures, movements and patterns of characters. You are also expected to use the interior monologue of characters to highlight thoughts and emotions as they occur. D. Pace the presentation of events and actions to create an accurate timeline of events in your writing. E. Effectively describe appearances, relationships, conversations, and shifting emotions as they occur in the novel and in your historical biography.

2 3. Once you have digested, annotated, and contemplated your selected summer reading text, please read the attached World Report and PDF on challenges based on human rights in Afghanistan ights%20in%20afghanistan.pdf 4. Next, please read And: %20in%20Afghanistan.pdf The above sites give information on different ethnic groups in Afghanistan. You will eventually be quizzed on this particular information. I recommend taking Cornell Notes on the two sites listed for these ethnicities. You will be able to use any prepared notes for the quiz. 5. Read the attached article which outlines Taliban's rules that are currently in place: 6. Then, please research information in regards to other countries and organizations that have influenced Afghanistan or played a role in the culture, conflict, history, or development of the country. I recommend you find information in regards to the following: Great Britain The Former USSR The United States of America Iran Pakistan And the two listed organizations: NATO and the UN The following sites will be quite helpful: Based on all of the information that you have accrued and digested, please write a two-page reflection on what you have learned from the nonfiction links presented. Be sure to highlight concepts you wish to discuss in class. 8. Finally, based on the text you choose, please find an academic article that relates to some component of your selected novel or memoir. Then, after locating a common theme in your summer reading text and your selected article, please synthesize the information gleaned and write a connection piece highlighting the similarities of your text and your academic article. To ensure adequate explanation, please construct a 3-4 page comparative analysis that include quotations from both works. If you have any questions or concerns, please do not hesitate to contact me for assistance over the summer. I can be reached at jamien267@gmail.com. I look forward to meeting each and every one of you this August! Have a safe and intellectual summer!

3 DIFFERENTIAL CALCULUS SUMMER ASSIGNMENT Linear Functions Calculus Summer Assignment - Part 1 Determine the equation of the line that passes through the given points 1. (0,-1) and (5,9) 2. (-2,-1) and (1,5) 3. (3,6) and (3, -4) 4. (1,2) and (8,2) Write an equation through the given point that is (a) Parallel to the given line (b) Perpendicular to the given line Point Line 5. (2,1) 4x - 2y = 3 6. (-3,2) x + y = 7 Find a relationship (equations) between x and y such that (x,y) is equidistant from the two points. 7. (4,-1) and (-2,3) 8. (3,-2) and (-7, 1)

4 Piecewise functions: 2x 1, if x 1 g(x) = { 3x + 1, if x > 1 1. Evaluate g(5) 2. Evaluate g(1) 3. Graph the given function f(x) = { 3 2 x 1, if x < 2 x + 1, if 2 x 1 3, if x > 1

5 Quadratics: Converting from standard form to vertex form 1. f(x) = x 2 + 4x f(x) = x 2 18x + 86 Solving quadratics by factoring 3. x 2 8x + 12 = 0 4. x 2 49 = 0 5. x 2 11x + 30 = x + 28 = x 2 Solving quadratics using square roots 7. 4(x 1) 2 = (x 4) 2 18 = (x + 2) 2 5 = 8 Use the quadratic formula to solve the following equations 10. x 2 + 3x = x 2 18x = 12x x 2 + 4x = For the function f(x) = x 2 + 7, evaluate each of the following (a) f(3a) (b) f(b 1) (c) f(x) f(1) x 1 (d) f(x+h) f(x) h

6 Polynomials Graph the following polynomials (include any zeros and y-intercepts); state the domain and range 1. f(x) = x 3 4x 2 11x g(x) = 2x 4 x 3 42x Determine the points of intersection of the functions provided. 3. x + y =2 2x y =1 4. x 2 + y = 6 x + y = 4 5. x 2 + y 2 = 25 2x + y = y = x 3 4x y = -(x + 2)

7 Exponential and Logarithmic Functions Graph each function then state the domain and range 1. f(x) = ( 1 8 )x 2. g(x) = ( 1 3 )x 4 3. h(x) = 2e x Expanding and condensing logarithmic expressions Expand each logarithm 4. log(3xy) 5. ln(10x 3 y) 6. log 3y x 5 Condense each expression 7. 3log4 + log ln3 + 5ln2 ln8 Solving exponential and logarithmic equations Solve the following equations 9. 5 x = e 3x = log(2x 5) = lnx + ln(x + 2) = 3

8 Rational Functions Graph the functions. State the domain and range, label any vertical asymptotes. 1. f(x) = 4 x 3 2. g(x) = 4x2 x 1 3. s(t) = 3t 2 t 4

9 Solving Rational Equations 4. 2x 9 = 2 x x 5 x 5 x x = 4 x+1 x x = x+1 x For the function f(x) = 1/x evaluate the following: f(1 + h) f(1) h

10 Trig Functions Convert each angle to radian measure (express each one in terms of π). Do not use a calculator o o o o o Convert each angle to degree measure. Do not use a calculator. 6. 3π 2 7. π π A right triangle as an acute angle,, such that cos 3 5. Find sin. 10. A right triangle as an acute angle,, such that 12 sin. Find cot. 13 Without using a calculator evaluate the trig function at the given angle. o 11. cos 60 o 12. tan sin 120 o

11 14. You are standing 75 meters from the base of a building. You estimate the angle of elevation to the top of the building is 80 o. What is the approximate height of the building? Solve for (0 2π): sin cos 2 sin 2 2 Solve the given equations 18. arcsin(3x π) = ½ 19. arctan(2x 5) = -1

12 DIFFERENTIAL CALCULUS SUMMER ASSIGNMENT Calculus Summer Assignment - Part 2 1. You need to build a cylindrical water tank using 100 cubic feet of concrete. The sides and the base of the tank must be one foot thick. What are the dimensions that will maximize the capacity of the tank? Explain your solution and include any models/diagrams you use.

13 2. While camping, you and a friend filter river water into two cylindrical containers with the radii and heights given in the chart below. You then use these containers to fill the water cooler with the given dimensions. Radius Height (in.) (in.) Container Container Cooler 12 5 (a) Find the volumes of the containers and the cooler in cubic inches. (b) Using your results from part (a), write and graph an inequality describing how many times the containers can be filled and emptied into the water cooler without the cooler overflowing. (c) Convert the volumes from part (a) to gallons. Then rewrite the inequality from part (b) in terms of these converted volumes. (d) Graph the inequality from part (c). Compare the graph with your graph from part (b), explain why the results make sense.

14 3. Adam is at a lake, taking his dog for a walk. He throws a tennis ball from point A along the water s edge to point B in the water. His dog, Riley, first runs along the beach from point A to point D and then swims to fetch the ball at point B. (a) Riley s running speed is about 6.4 meters per second. Write a function, r(x), for the time he spends running from point A to point D. Riley s swimming speed is about 0.9 meters per second. Write a function, s(x), for the time he spends swimming from point D to point B. (b) Write a function, t(x), that represents the total time Riley spends traveling from point A to point D to point B. (c) Graph the function(x) from part (b). (d) Determine the value of x that minimizes the amount of time it takes for Riley to get the ball. Explain your solution. (e) What is the total distance Riley covers include the distance run on land and the distance he swam in order to retrieve the ball? Explain your solutions.

15 4. You have 100 meters of fencing material to enclose a rectangular plot. Your goal is to determine the dimensions of the plot such that you enclose the maximum area possible. (a) Express the area, A(x), of the rectangular plot as a function of the length, x, of one side. (b) Analyze the problem numerically by completing the table x A(x) According to this table, what do you think the dimensions of the plot should be to enclose the maximum area? Explain. (c) Use a graphing utility to graph the area function. What is the domain of the function? According to your graph, what are the dimensions of the plot that would yield a maximum area? (d) Solve the problem algebraically by putting A(x) into vertex form. How does this form of the function allow you to find the dimensions that produce a maximum area? (e) Discuss the strengths and weaknesses of the three strategies used in parts (b), (c), and (d). (f) Suppose you were not restricted to a rectangular plot. Would you be able to use 100 meters of fencing to enclose a greater area? (g) Suppose the rectangular plot runs along a building so that you need to fence only three sides. What dimensions will now yield a maximum area with 100 meters of fencing? Explain your method of determining these dimensions.

16 5. The following table represents the monthly precipitation p (in inches) for Seattle, Washington over the past year. In the table month t = 1 corresponds to January. t p (a) Create scatter plot of the data. (b) Determine a model (equation) that best fits the data. Explain why you chose this type of model and why you think it is a good fit. (c) Use your model to predict the amount of precipitation in December. (d) Use your model to predict the amount of precipitation in June of the following year.

17 6. Suppose you are driving from Atlanta to Miami. The trip is about 700 miles and takes you 12 hours. Your average speed is: Average speed = Distance time = miles per hour This concept can be generalized as follows. Let f be a function defined on the interval [a,b]. The average rate of change off from a to b is: This expression is called a difference quotient Average rate of change = f(b) f(a) b a (e) Calculate the average rate of change of f(x) = 3x + 4 on the interval [2,6]. Select any other interval and show that you obtain the same average rate of change. Explain why you obtain the same average rate of change. (f) Calculate the average rates of change of f(x) = x2 on the intervals [1,3] and [4,6]. Are they equal? Explain. (g) Let f(x) = x2 2. I. Calculate the average rates of change of f on the intervals [1,3], [1,2], [1,1.5] and [1,1.1]. II. Find an expression for the average rate of change of f on the interval [1,1+h], where h is any real number. III. Create a table that shows the average rate of change of f for several values of h. Choose values of h that get closer and closer to 0. What value does the average rate of change of f approach as h approaches 0? IV. The answer to part (b) is the slope of the tangent line to the graph of f at point (1,f(1)). Graph this line and f on the same graph. Describe the behavior of the graphs near the point (1,f(1)).

18 7. (a) Use a graphing utility to graph the function f(x) = sinx. On a separate sheet of paper, plot your estimates of the slope of this curve at various x values. For instance the slope is approximately 1 at x = 0, 0.8 at x = 0.5 and 0 at x = 1.5. After you have plotted 15 or 20 points, connect them with a continuous curve. Do you recognize this curve? (b) The slope of the tangent line was given by the formula on page 828. The difference quotient f(x+h) f(x) will be a good approximation of the slope if h is small. If you select h = 0.01, you h have the following approximation for the slope of the sine curve at x. sin(x ) sinx m 0.01 Complete the table below, plot these points on a graph and then compare your results with part (a) x m (c) To calculate the slope of the tangent line to f(x) = sinx algebraically, you need two trigonometric limits: sin (h) Limit 1: lim = 1 h 0 h 1 cos (h) Limit 2: lim = 0 h 0 h Use these limits to find a formula for the slope of the sine curve.