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File: Calculus Pdf 170387 | Ap Calculus Bc Subject Group Overview 22 23
ap calculus bc subject group overview semester 1 unit unit 1 limits unit 2 differentiation unit 3 differentiation unit 4 contextual unit 5 analytical unit 6 integration unit 7 differential ...

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                                                                      AP Calculus BC Subject Group Overview - Semester 1 
             Unit             Unit 1: Limits &           Unit 2: Differentiation:       Unit 3: Differentiation:           Unit 4: Contextual              Unit 5: Analytical           Unit 6: Integration &           Unit 7: Differential 
            Name                 Continuity                Definition and Basic           Composite, Implicit,              Applications of                 Applications of               Accumulation of                     Equations 
                                                             Derivative Rules             and Inverse Function              Differentiation                 Differentiation                     Change 
             
             
          Time Frame              3 Weeks                        2 Weeks                        2 Weeks                         2 Weeks                        3 Weeks                        3 Weeks                        3 Weeks 
           Standards       AP Calc BC 1.1-1.16           AP Calc BC 2.1-2.10            AP Calc BC 3.1-3.6             AP Calc BC 4.1-4.7              AP Calc BC 5.1-5.12            AP Calc BC 6.1-5.114           AP Calc BC 7.1-7.9 
                         1.1 Introducing Calculus:      2.1 Defining average and       3.1 The chain rule              4.1 Interpreting the           5.1 Using the mean value       6.1 Exploring accumulations  7.1 Modeling situations with 
                         Can change occur at an         instantaneous rates of         3.2 Implicit                    meaning of the derivative in  theorem                         of chang                       differential equations 
                         instant?                       change                         differentiation                 context                        5.2 Extreme value theorem,  6.2 Approximating areas           7.2 Verifying solutions for 
                         1.2 Defining limits and using  2.2 Defining the derivative    3.3 Differentiation             4.2 Straight-line motion:      global versus local extrema,  with Reimann sums               differential equations 
                         limit notation                 of a function and using        inverse functions               Connecting position,           and critical points            6.3 Riemann sums,              7.3 Sketching slope fields 
                         1.3 Estimating limit values    derivative notation            3.4 Differentiation             velocity, and acceleration     5.3 Determining intervals on  summation notation, and         7.4 Reasoning using slope 
                         from graphs                    2.3 Estimating                 inverse trigonometric           4.3 Rates of change in         which a function is            definite integral notation     fields 
                         1.4 Estimating limit values    derivatives of a function at a                                 applied contexts other than  increasing or decreasing         6.4 The fundamental            7.5 Approximating solutions 
                         from tables                    point                          functions                       motion                         5.4 Using the first derivative  theorem of calculus and       using Euler’s method 
                         1.5 Determining limits using  2.4 Connecting                  3.5 Selecting procedures  4.4 Introduction to related          test to determine relative     accumulation functions         7.6 Finding general 
                         algebraic properties of        differentiability with         for calculating                 rates                          (local) extrema                6.5 Interpreting  the          solutions using separation 
                         limits                         continuity                     derivatives                     4.5 Solving related rates      5.5 Using the candidates       behavior of accumulation       of variables 
                         1.6 Determining                2.5 Applying the power rule  3.6 Calculative higher            problems                       test to determine absolute     functions involving area       7.7 FInding particular 
                         limits  using algebraic        2.6 Derivative rules:          order derivatives               4.6 Approximating values of  (global) extrema                 6.6  Applying properties of    solutions using initial 
                         manipulation                   constant, sum, difference,                                     a function using local         5.6 Determining concavity      definite integrals             conditions and separation 
                         1.7 Selecting procedures for  and constant multiple                                           linearity and linearization    of functions over their        6.7 The fundamental            of variables 
                         determining limits             2.7 Derivative of cos(x),                                      4.7 Using L’Hospital’s rule    domains                        theorem of calculus and        7.8 Exponential models with 
                                                                x
           Content       1.8 Determining limits using  sin(x), e , and ln(x)                                           for determining limits of      5.7 Using the second           definite integrals             differential equations 
            Specific     the Squeeze Theorem            2.8 The product rule                                           indeterminate forms            derivative test to determine  6.8 Finding antiderivatives     7.9 Logistic models with 
          Information   1.9 Connecting multiple         2.9 The quotient rule                                                                         extrema                        and indefinite integrals:      differential equations 
                         representations of limits      2.10 Finding the derivatives                                                                  5.8 Sketching graphs of        basic rules and notation        
                         1.10 Exploring types of        of tangent, cotangent,                                                                        functions and their            6.9  Integrating using 
                         discontinuities                secant, and/or cosecant                                                                       derivatives                    substitution 
                         1.11 Defining continuity at a  functions                                                                                     5.9 Connecting a function,     6.10 Integrating functions 
                         point                                                                                                                        its first derivative, and its  using long division and 
                         1.12 Confirming continuity                                                                                                   second derivative              completing the square 
                         over an interval                                                                                                                                            6.11 Integrating 
                         1.13 Removing                                                                                                                                               using  integration by parts 
                         discontinuities                                                                                                                                             6.12 Using linear partial 
                         1.14 Connecting infinite                                                                                                                                    fractions 
                         limits and vertical                                                                                                                                         6.13 Evaluating improper 
                         asymptotes                                                                                                                                                  integrals 
                         1.15 Connecting limits at                                                                                                                                   6.14 Selecting techniques 
                         infinity and horizontal                                                                                                                                     for antidifferentiation 
                         asymptotes                                                                                                                                                   
                         1.16 Working with the 
                         Intermediate Value 
                         Theorem (IVT) 
            MCS Subject Group Overview. AP Calculus BC Last Revised: August, 2022 
                                                               AP Calculus BC Subject Group Overview - Semester 1 
            Unit           Unit 1: Limits &        Unit 2: Differentiation:    Unit 3: Differentiation:       Unit 4: Contextual           Unit 5: Analytical        Unit 6: Integration &        Unit 7: Differential 
           Name               Continuity             Definition and Basic        Composite, Implicit,           Applications of             Applications of            Accumulation of                 Equations 
                                                       Derivative Rules         and Inverse Function            Differentiation             Differentiation                 Change 
            
                       Homework Quizzes            Homework Quizzes            Homework Quizzes            Homework Quizzes            Homework Quizzes            Homework Quizzes            Homework Quizzes 
          Common       Formative                   Formative                   Formative                   Formative                   Formative                   Formative                   Formative 
         Assessments   Assessments                 Assessments                 Assessments                 Assessments                 Assessments                 Assessments                 Assessments 
           / Major     Summative                   Summative                   Summative                   Summative                   Summative                   Summative                   Summative 
           Projects    Assessment                  Assessment                  Assessment                  Assessment                  Assessment                  Assessment                  Assessment 
                       AP Classroom (within        AP Classroom (within        AP Classroom (within        AP Classroom (within        AP Classroom (within        AP Classroom (within        AP Classroom (within 
                       AP Central,                 AP Central,                 AP Central,                 AP Central,                 AP Central,                 AP Central,                 AP Central, 
                       collegeboard.org)           collegeboard.org)           collegeboard.org)           collegeboard.org)           collegeboard.org)           collegeboard.org)           collegeboard.org) 
                                                                                                                                                                                                
                       Calculus textbook:          Calculus textbook:          Calculus textbook:          Calculus textbook:          Calculus textbook:          Calculus textbook:          Calculus textbook:  
                       Calculus, 11e, Larson       Calculus, 11e, Larson       Calculus, 11e, Larson       Calculus, 11e, Larson       Calculus, 11e, Larson       Calculus, 11e, Larson       Calculus, 11e, Larson 
                       & Edwards                   & Edwards                   & Edwards                   & Edwards                   & Edwards                   & Edwards                   & Edwards 
                                                                                                                                                                                                
                       Tony Record (Avon           Tony Record (Avon           Tony Record (Avon           Tony Record (Avon           Tony Record (Avon           Tony Record (Avon           Tony Record (Avon 
                       HS) created                 HS) created                 HS) created                 HS) created                 HS) created                 HS) created                 HS) created 
                       resources                   resources                   resources                   resources                   resources                   resources                   resources 
                                                                                                                                                                                                
          Resources    www.flippedmath.co          www.flippedmath.co          www.flippedmath.co          www.flippedmath.co          www.flippedmath.co          www.flippedmath.co          www.flippedmath.co
                       m                           m                           m                           m                           m                           m                           m 
                                                                                                                                                                                                
                       Khan Academy                Khan Academy                Khan Academy                Khan Academy                Khan Academy                Khan Academy                Khan Academy 
                                                                                                                                                                                                
                       Delta Math                  Delta Math                  Delta Math                  Delta Math                  Delta Math                  Delta Math                  Delta Math  
                                                                                                                                                                                                
                       Master Math                 Master Math                 Master Math Mentor          Master Math Mentor          Master Math Mentor  Master Math Mentor  Master Math Mentor 
                       Mentor (pdf files and       Mentor (pdf files and       (pdf files and videos)      (pdf files and videos)      (pdf files and videos)      (pdf files and videos)      (pdf files and videos) 
                       videos)                     videos)                                                                                                                                      
                                                                               Teacher created             Teacher created             Teacher created             Teacher created             Teacher created 
                       Teacher created             Teacher created             resources                   resources                   resources                   resources                   resources 
                       resources                   resources 
           MCS Subject Group Overview. AP Calculus BC Last Revised: August, 2022 
                                                              AP Calculus BC Subject Group Overview - Semester 2 
            Unit                                                         Unit 9: Parametric Equations, Polar 
           Name           Unit 8: Applications of Integration              Coordinates, and Vector-valued                Unit 10: Infinite Sequences  & Series                      AP Exam review 
                                                                                        Functions 
            
            
         Time Frame                     3 Weeks                                          4 weeks                                         5 Weeks                                         4 Weeks 
         Standards     AP Calc BC 8.1-8.13                             AP Calc BC 9.1-9.9                              AP Calc BC 10.1-10.15                            All AP Calc BC standards 1.1-10.15 
               
                       8.1 Finding the average value of a function      9.1 Defining and differentiating parametric    10.1 Defining convergent and divergent          1.1-10.15 
                       on an interval                                  equations                                       infinite series 
                       8.2 Connecting position, velocity, and          9.2 Second derivatives of parametric            10.2 Working with geometric series 
                       acceleration of functions using integrals       equations                                       10.3 The nth term test for divergence 
                       8.3 Using accumulation functions and            9.3 Finding arc lengths of curves given         10.4 Integral test for convergence 
                       definite integrals in applied contexts          parametric equations                            10.5 Harmonic series and p-series 
                       8.4 Finding the area between curves             9.4 Defining and differentiating vector-        10.6 Comparison tests for convergence 
                       expressed as functions of y                     valued functions                                10.7 Alternating series test for convergence 
                       8.5 Finding the area between curves             9.5 Integrating vector-valued functions         10.8 Ratio test for convergence 
                       expressed as functions of y                     9.6 Solving motion problems using               10.9 Determining absolute or conditional 
                       8.6 Finding the area between curves that        parametric and vector-valued functions          convergence 
          Content      intersect at more than two points               9.7 Defining polar coordinates and              10.10 Alternating series error bound 
           Specific    8.7 Volumes with cross sections: squares        differentiating in polar form                   10.11 Finding taylor polynomial 
         Information   and rectangles                                  9.8 Find the area of a polar region or the      approximations of functions 
                       8.8  Volumes with cross sections: triangles     area bounded by a single polar curve            10.12 Lagrange error bound 
                       and semicircles                                 9.9 Find the area of the region bounded by      10.13 Radius and interval of convergence of 
                       8.9 Volume with disc method: revolving          two polar curves                                power series 
                       around the x- or y-axis                                                                         10.14 Finding Taylor or Maclaurin series for 
                       8.10 Volume with disc method: revolving                                                         a function 
                       around other axes                                                                               10.15 Representing functions as power 
                       8.11 Volume with washer method:                                                                 series 
                       Revolving around the x- or y-axis 
                       8.12 Volume with washer method: 
                       revolving around other axes 
                       8.13 The arc length of a smooth, planar 
                       curve and distance traveled 
          Common       Common Homework Quizzes                         Common Homework Quizzes                         Common Homework Quizzes                         Mock AP Exam 
        Assessments  Common Formative Assessments                      Common Formative Assessments                    Common Formative Assessments 
           / Major     Common Summative Assessment                     Common Summative Assessment                     Common Summative Assessment 
           Projects 
           MCS Subject Group Overview. AP Calculus BC Last Revised: August, 2022 
                                                        AP Calculus BC Subject Group Overview - Semester 2 
           Unit                                                    Unit 9: Parametric Equations, Polar 
          Name         Unit 8: Applications of Integration          Coordinates, and Vector-valued            Unit 10: Infinite Sequences  & Series                 AP Exam review 
                                                                                Functions 
           
                     AP Classroom (within AP Central,            AP Classroom (within AP Central,            AP Classroom (within AP Central,           Past AP exams (released and secure 
                     collegeboard.org)                           collegeboard.org)                           collegeboard.org)                          questions) 
                                                                                                                                                         
                     Calculus textbook:                          Calculus textbook:                          Calculus textbook:                         AP Classroom (within AP Central, 
                     Calculus, 11e, Larson & Edwards             Calculus, 11e, Larson & Edwards             Calculus, 11e, Larson & Edwards            collegeboard.org) 
                                                                                                                                                         
                     Tony Record (Avon HS) created               Tony Record (Avon HS) created               Tony Record (Avon HS) created              Tony Record (Avon HS) created 
                     resources                                   resources                                   resources                                  resources 
                                                                                                                                                         
                     www.flippedmath.com                         www.flippedmath.com                         www.flippedmath.com                        Calculus textbook:  
                                                                                                                                                        Calculus, 11e, Larson & Edwards 
         Resources   Khan Academy                                Khan Academy                                Khan Academy                                
                                                                                                                                                        www.flippedmath.com 
                     Delta Math                                  Delta Math                                  Delta Math                                  
                                                                                                                                                        Khan Academy 
                     Master Math Mentor (pdf files and           Master Math Mentor (pdf files and           Master Math Mentor (pdf files and           
                     videos)                                     videos)                                     videos)                                    Delta Math  
                                                                                                                                                         
                     Teacher created resources                   Teacher created resources                   Teacher created resources                  Master Math Mentor (pdf files and 
                                                                                                                                                        videos) 
                                                                                                                                                         
                                                                                                                                                         
                                                                                                                                                        Teacher created resources 
                                                                                                                                                         
           
          MCS Subject Group Overview. AP Calculus BC Last Revised: August, 2022 
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...Ap calculus bc subject group overview semester unit limits differentiation contextual analytical integration differential name continuity definition and basic composite implicit applications of accumulation equations derivative rules inverse function change time frame weeks standards calc introducing defining average the chain rule interpreting using mean value exploring accumulations modeling situations with can occur at an instantaneous rates meaning in theorem chang instant context extreme approximating areas verifying solutions for straight line motion global versus local extrema reimann sums limit notation a functions connecting position critical points riemann sketching slope fields estimating values velocity acceleration determining intervals on summation reasoning from graphs trigonometric which is definite integral derivatives applied contexts other than increasing or decreasing fundamental tables point first euler s method selecting procedures introduction to related test det...

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