[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-464507-105":59,"doc-detail-464507-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","ap-calculus-prerequisite-packet-directions-complete-for-ap-calculus","AP Calculus Prerequisite Packet - Directions - Complete for AP Calculus","","AP Calculus Prerequisite Packet provides summer instructions and a set of prerequisite exercises for students preparing for AP Calculus. The packet explains that work must be shown for credit and includes sketching functions, reviewing algebra and pre-calculus skills, and solving equations and inequalities. Topics cover linear functions, midpoint and slope, function operations, factoring, real and complex solutions, graphing with key points, asymptotes, and domain/range. 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Over the summer please complete the following Prerequisite packet. The packet will be due the first day of class and will count as a test grade. Please be sure to show all of your work. We will be spending the first week of class going over and reviewing the prerequisite material and answering any questions which may arise. If you have any questions during the summer please feel free to contact me by email at: [john.cote@lebanonct.org](john.cote@lebanonct.org).  \nAdditional resources can be found at:  \n[http://college.hmco.com/mathematics/larson/calculus_early/4e/resources.html](http://college.hmco.com/mathematics/larson/calculus_early/4e/resources.html)  \n[http://teachers.henrico.k12.va.us/math/HCPSAlgebra2/](http://teachers.henrico.k12.va.us/math/HCPSAlgebra2/) .  \nA graphing calculator will be required for this class and is needed for the AP test. It is highly suggested that you have your own. If you currently do not have a graphing calculator I would recommend the TI-84 as this is calculator that will be used in class.  \nI look forward to working with all of you and helping you prepare for the AP test next spring.  \nHave a safe summer,  \nMr. Cote  \nAP Calculus Name    \nPrerequisite Skills Packet  \nDirections: You must show all work in order to receive credit. Do not simply write the answer.  \nYou may use your calculator to complete the problems; however, work must still be shown.  \nSketch each on the graphs below.  \nPart 1:  \n1: y = x  \n2: y = c (c is a constant)  \n3: y = x2 4: y = x3  \n5: y = |x|  \n6: y = √x 7: y =   \n8: y = ex 9: y = ln x  \nPart 2  \n1. Given points S (-3, 4) and T (6, -7) Find the following:  \na. the midpoint of ST b. the slope of the line through S and T  \nc. the standard form (Ax + By = C) d. the standard form of the equation of the line  \nof the equation of the line through of the perpendicular bisector of ST  \npoints S and T (A, B, and C are (A, B, and C are relatively prime  \nrelatively prime integers, A>0) integers, A>0)  \n2. Given the line 3x-5y = 7,  \nFind the point-slope form of the equation of a line through (3, 1) that is  \na. parallel to the given line b. perpendicular to the given line  \n3.f (x) = 2 x + 5, Find each  \na. f (x + 3) b. f (f (x)) c. f (x + 1) -f (x)  \n4. Factor completely  \na.  b. x3-64 c. 3x3-6 x2-45 x  \n5. Solve for all solutions (real and complex)  \na.  b. x3 – 125 = 0 c. 3x3-6 x2-45 x = 0  \n6. Find the quotient and remainder when x3-6 x2-5x-7 is divided by x-5  \n7.f (x) = -x2 + 6 x + 7 Find the following:  \na. The coordinates of the vertex b. the x andy intercepts  \n8. Solve each inequality-give your solution in interval notation  \na. x2 + 2x \u003C 15 b. 2 x + 3 \u003C 7  \n9. Solve each for x:  \na.  b. 27x+1= 92x-4  \n10. Solve for x in each :  \na.  b.  c.  d. ln ex = 4  \n11.   \na. find domain b. find the x intercept  \n12. Solve each  \na.  b.  \n13. Simplify to a single fraction:  \na.  \n14. Find the missing sides in each  \n15. Find the indicated trig function and the value of  (rounded to the nearest degree) in each  \nsin =   sin =    \ntan =   cos =    \ncos =   tan =    \n16. Given y =  Find the following:  \na. x intercepts  \nb. y intercept  \nc. equation of vertical asymptote  \nd. equation of horizontal asymptote  \ne. location of hole(s) in the graph  \nf. sketch the graph showing all key points  \ng. domain and range  \nPart 3  \nFactor completely:  \n1. 100x2 – 9y2 2. y2 +3y – 28 3. 5x3y2 + 25x2y3 + 10x3y4  \n4. 6m2 – 17m-14  \n5. Evaluate when k = -4, m = -3 and r = 5  \na) 2k2 – r2 b) -5(3r – 2m) c)   \n6. Solve for x:   \n7. Solve for x and graph each solution set on a number line:  \na) -4  ≤ x – 2 \u003C 2 b) |x+2| ≤ 5 c) |3k +1| > 8  \n8) Simplify and write your answers with only positive exponents. Please assume all variables represent non-zero real numbers.  \na) ","cbCaik3IBg5xMvY2","https://ap.wps.com/l/cbCaik3IBg5xMvY2","pdf",755870,12,"English","# Part 1: Prerequisite Skills\n## Graphs and function sketches\n# Part 2: Equations, functions, and inequalities\n## Midpoint, slope, and standard forms\n## Function transformations and composition\n## Factoring and solving real/complex equations\n## Quotients, remainders, inequalities, and solving for x\n## Domain, intercepts, and asymptotes\n# Part 3: Advanced factoring and evaluation\n## Factoring and simplifying expressions\n## Evaluate with given variable values\n## Solve and number-line graphing","[{\"question\":\"When is the prerequisite packet due, and how is it graded?\",\"answer\":\"The packet is due the first day of class and counts as a test grade.\"},{\"question\":\"What are the requirements for receiving credit on the packet problems?\",\"answer\":\"Students must show all work; simply writing the answer is not sufficient for credit.\"},{\"question\":\"What calculator is recommended for completing the packet and for the AP test?\",\"answer\":\"A graphing calculator is required, and the TI-84 is highly suggested as the calculator used in class.\"}]","AP Calculus Prerequisite Packet - Directions - Complete for AP Calculus | PDF",1790768281]