Advanced Placement Calculus AB Summer Assignment
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1 Advanced Placement Calculus AB Summer Assignment TO: May 27, 2014 Congratulations! You have been accepted into Advanced Placement Calculus AB for the next school year. This course will count as a math credit at Boone and you may also earn college credit if you pass the national AP Calculus AB exam in May Remember that by enrolling in this course, you are making a commitment to excellence in daily work. Successful students in AP Calculus possess the following characteristics: daily review of new content material taught in class diligent completion of homework on a daily basis participation in study groups or working with a study buddy understanding concepts vs. cramming details organizing notes and materials, grouping of similar concepts, discerning differences between concepts, and knowing and understanding major theorems and concepts asking questions in class and out of class before the next concept is introduced proficient in translating mathematical expressions into necessary and sufficient English justifications plans college visits sparingly and wisely and does not slack off in the spring of the school year. SUMMER ASSIGNMENT Your summer assignment will be available for you to print from the Boone Braves website on or after June 1, The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in AP Calculus AB. DO ALL PROBLEMS WITHOUT A CALCULATOR. Show all work that leads you to each solution on separate sheets of paper. You may use your notes from previous mathematics courses to help you. You must do all work without the help from another person. ALL work should be completed and ready to turn in on the FIRST DAY of school (August 18, 2014). This packet will count as part of your first quarter grade. I would prefer you completing these skill sheets during the week of August 11, 2014, so that the review concepts will be fresh on your mind for the first day of school. The entire skill sheets packet require approximately 4 hours (at the most) of your time. If you have any questions, please contact me in room or at teresa.tachon@ocps.net. Again, congratulations, Dr. Tachon ENJOY YOUR SUMMER!!!! AP Calculus AB Page 1 of 10 Summer Assignment 2014
2 DO NOT begin until the week of August 11 th, 2014!!! Name SHOW ALL WORK. I. Simplify. Show the work that leads to your answer II. Complete the following identities AP Calculus AB Page 2 of 10 Summer Assignment 2014
3 III. Simplify each expression. (Show your work). 1. = 2. = 3. = 4. = IV. Solve for. AP Calculus AB Page 3 of 10 Summer Assignment 2014
4 V. If {(3, 5), (2, 4), (1, 7)} {(3, 2), (4, 3), (1, 6)}, then determine each of the following: VI. Miscellaneous: Follow the directions for each problem. 1. Evaluate and simplify if 2. Expand: 3. Simplify: AP Calculus AB Page 4 of 10 Summer Assignment 2014
5 VII. Expand and simplify. VIII. Simplify AP Calculus AB Page 5 of 10 Summer Assignment 2014
6 IX. Using the point-slope form, write an equation for the line 1. with slope, containing the point (3, 4) containing the points (1, 3) and ( 5, 2) with slope 0, containing the point (4, 2) perpendicular to the line in problem #1, 4. containing the point (3, 4) X. Without a calculator, determine the exact value of each expression. 1. = 2. = 3. = 4. = 5. = 6. = 7. = 8. = 9. = 10. = 11. = 12. = 13. = 14. = (or ) AP Calculus AB Page 6 of 10 Summer Assignment 2014
7 XI. For each function, determine its domain and range. Function Domain Range XII. Determine all points of intersection by solving the system of equations AP Calculus AB Page 7 of 10 Summer Assignment 2014
8 XIII. Solve for x, where x is a real number. Show the work that leads to your solution > < AP Calculus AB Page 8 of 10 Summer Assignment 2014
9 XIV. Graph each function. Label the axes AP Calculus AB Page 9 of 10 Summer Assignment 2014
10 Congratulations! You have finished your calculus summer packet. Please use the space below if you would like to make some comments to your calculus teacher concerning the packet. AP Calculus AB Page 10 of 10 Summer Assignment 2014
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