Unit 9 Progress Check: FRQ Part A
AP Calculus BCScoring GuideUnit 9 Progress Check: FRQ Part A1.A GRAPHING CALCULATOR IS REQUIRED FOR THIS QUESTION.You are permitted to use your calculator to solve an equation, find the derivative of a functionat a point, or calculate the value of a definite integral. However, you must clearly indicate thesetup of your question, namely the equation, function, or integral you are using. If you useother built-in features or programs, you must show the mathematical steps necessary toproduce your results. Your work must be expressed in standard mathematical notation ratherthan calculator syntax.Show all of your work, even though the question may not explicitly remind you to do so. Clearlylabel any functions, graphs, tables, or other objects that you use. Justifications require that yougive mathematical reasons, and that you verify the needed conditions under which relevanttheorems, properties, definitions, or tests are applied. Your work will be scored on thecorrectness and completeness of your methods as well as your answers. Answers withoutsupporting work will usually not receive credit.Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If youranswer is given as a decimal approximation, it should be correct to three places after thedecimal point.Unless otherwise specified, the domain of a functionnumbersfor whichis assumed to be the set of all realis a real number.Copyright 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online orin print beyond your school’s participation in the program is prohibited.Page 1 of 5
AP Calculus BCScoring GuideUnit 9 Progress Check: FRQ Part AThe graphs of the polar curves(a) Letandbe the region that is inside the graph ofare shown in the figure above.and also inside the graph of. Find thearea of .Please respond on separate paper, following directions from your teacher.(b) There is a point on the graph of. At this point,ⅆⅆ. Findat which the slope of the line tangent to the graph isⅆⅆat this point.Please respond on separate paper, following directions from your teacher.(c) Letbe the polar curve defined byforCopyright 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online orin print beyond your school’s participation in the program is prohibited. Find the greatestPage 2 of 5
AP Calculus BCScoring GuideUnit 9 Progress Check: FRQ Part Adistance from any point on the graph ofto the origin. Justify your answer.Please respond on separate paper, following directions from your teacher.Part AThe first point requires a sum of integrals where the integrands areThe second point requiresandin each integral and correct limits for each integral. Errors with the value ofimpact the second point.Arithmetic errors impact the third point. A simplified answer is not required. Eligibility for the third pointrequires (1) a sum of integrals where the integrands areand(2)in each integral,and (3) correct and consistent limits based on the response’s value forSelect a point value to view scoring criteria, solutions, and/or examples to score the response.0123The student response accurately includes all three of the criteria below.integrandslimits and constantanswerSolution:Part BCopyright 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online orin print beyond your school’s participation in the program is prohibited.Page 3 of 5
AP Calculus BCScoring GuideUnit 9 Progress Check: FRQ Part AThe first point may be earned for use of correct values without an explicit statement ofThe second point requiresor equivalent.A simplified answer is not required. Trigonometric function values do not need to be evaluated.Select a point value to view scoring criteria, solutions, and/or examples and to score the response.0123The student response accurately includes all three of the criteria below.equationanswerSolution:andAt the point where the line tangent has slopeTherefore,(or 1.818) at this point.Part CThe first point requires evidence of the derivative being used.The second and third points may be earned for a consistent and correct use of an incorrect value ofCopyright 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online orin print beyond your school’s participation in the program is prohibited.Page 4 of 5
AP Calculus BCScoring GuideUnit 9 Progress Check: FRQ Part Abased on one computational error.The third point requires evaluation at all three values ofSelect a point value to view scoring criteria, solutions, and/or examples and to score the response.0123The student response accurately includes all three of the criteria below.identifiesas candidateanswerjustificationSolution:Therefore, the greatest distance from any point on the graph ofto the origin is 2.236.Copyright 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyondyour school’s participation in the program is prohibited.Page 5 of 5
AP Calculus BC Scoring Guide Unit 9 Progress Check: FRQ Part A Copyright 2017. The College Bo
AP Calculus BC Scoring Guide Unit 8 Progress Check: FRQ Part A Copyright 2017. The College Bo
per unit of land in a single year. Yields are used to compare the level of productivity between different places. The maps show the change in tons of rice per acre of farmland between 1970 . AP Human Geography Scoring Guide FRQ Review Units 4-5 (digital learning) FRQ Review Units 4-5 (digital learning) Relinquishing of autonomy to internal units
AP Human Geography Scoring Guide Unit 3 FRQ Practice (Digital Learning) Copyright 2017. The College Board. These materials are part of a College Board program.
Ultimate Study Guide for AP Psychology *Unit numbers are based on the ollege oard outline not necessarily the order we learned about them in class 2019-2020 Exam Tuesday, May 19th, 11am, Online submission at home 2 FRQS: #1 FRQ (55% of score) #2 FRQ (45% of score) Time allowed ( 5 mins to submit) 25 mins 15 mins
Unit 1 Geography its Nature and Perspective 5-10% of Questions Vocab may be in FRQ but has never been the focus of an FRQ . 1. Site vs Situation . Shifting Cultivation . AP score, each point is really worth 3.3333 points, where as one .
Trigonometry Unit 4 Unit 4 WB Unit 4 Unit 4 5 Free Particle Interactions: Weight and Friction Unit 5 Unit 5 ZA-Chapter 3 pp. 39-57 pp. 103-106 WB Unit 5 Unit 5 6 Constant Force Particle: Acceleration Unit 6 Unit 6 and ZA-Chapter 3 pp. 57-72 WB Unit 6 Parts C&B 6 Constant Force Particle: Acceleration Unit 6 Unit 6 and WB Unit 6 Unit 6
Albert Woodfox is a former Black Panther who spent 45 years unjustly incarcerated in a Louisiana State Penitentiary. He was released in 2016, having served more than 43 years in VROLWDU\ FRQ¿QHPHQW WKH ORQJHVW SHULRG RI VROLWDU\ FRQ¿QHPHQW in American prison history. Kano is a British rapper, songwriter and actor. Kano is one of the pioneers of grime music and culture. In 2004, Kano released .
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