# Week-At-A-Glance by cXVwb19

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```									                                                                           Lesson Plans Week-At-A-Glance
Week: Aug 27th - 31th                                                        AP Calculus AB                                         A. Blume / M. Bowman
Monday                                   Tuesday                               Wednesday                                Thursday                                   Friday
Essential Question:                         Essential Question:                     Essential Questions:                   Essential Questions:                   Essential Questions:
How can we put all of the limit             How can I find the limits of graphs     What is a derivative? What is the      What is the derivative of a            How do you find the derivative as a
concepts together?                          and algebraic functions?                difference between average rate        function at a point and how is it      function and what does the function
of change and instantaneous rate       related to the tangent line? What      tell us about the derivative? What is
of change?                             are the units of f‘? How can we        a second derivative?
determine if a function is
differentiable over an interval?
Standard:                                   Standard:                               Standard:                              Standard:                              Standard:
M.Calc.1.13 Limits: Infinity.               M.Calc.1.13 Limits: Infinity.           M.Calc.1.2 Derivatives: Define         M.Calc.1.2 Derivatives: Define         M. Calc. 1.15 Differentiation:
The learner will be able to describe        The learner will be able to             The learner will be able to apply      The learner will be able to apply      Function Over Interval: The
asymptotic behavior in terms of limits      describe asymptotic behavior in         the derivative to determine the        the derivative to determine the        learner will be able to determine if a
involving infinity.                         terms of limits involving infinity.     slope of a tangent line at a point,    slope of a tangent line at a point,    function is differentiable over an
M.Calc.1.1 Limits: Evaluate                 M.Calc.1.1 Limits: Evaluate             the equation of the tangent line to    the equation of the tangent line to    interval. Find where the derivative of
The learner will be able to evaluate        The learner will be able to             a curve at a point and the             a curve at a point and the             a function fails to exist.
the limits of a function algebraically      evaluate the limits of a function       equation of the normal line to a       equation of the normal line to a
and apply the properties of limits,         algebraically and apply the             curve at a point.                      curve at a point.                      M. Calc.1.8 Differentiation:
including one sided limits.                 properties of limits, including one     The learner will be able to                                                   Apply/Relation
M.Calc.1.14 Applying Calculus               sided limits.                           approximate the rate of change at      M. Calc. 1.15 Differentiation:         The learner will be able to use the
Concepts: Continuity.                       M.Calc.1.14 Applying Calculus           a point, graph of a function or a      Function Over Interval                 relationships between f(x), f’(x), and
The learner will be able to apply the       Concepts: Continuity.                   table of values and define the         The learner will be able to            f”(x) to determine the increasing and
definition of continuity to a function at   The learner will be able to apply       derivative in various ways: The        determine if a function is             decreasing behavior of f(x).
a point and determine if a function is      the definition of continuity to a       limit of the difference quotient.      differentiable over an interval.       Determine critical points of f(x).
continuous over an interval.                function at a point and determine       The slope of the tangent line at a     Determine points where the             Determine the concavity of f(x) over
M.Calc.4.1 Limits:                          if a function is continuous over an     point. Instantaneous rate of           derivative of a function fails to      an interval, the points of inflection of
Approximate/Graphs                          interval.                               change The limit of the average        exist.                                 f(x). Sketch the graphs of f’(x) and
The learner will be able to estimate        M.Calc.4.1 Limits:                      rate of change.                                                               f”(x) when given f(x) and the graph of
limits from graphs or tables of data.       Approximate/Graphs                                                                                                    f(x) when given f’(x).
Estimate graphs from limits.                The learner will be able to
estimate limits from graphs or
tables of data. Estimate graphs
from limits.
Objectives:                                 Objectives:                             Objectives:                            Objectives:                            Objectives:
The learner will be able to evaluate        The learner will be able to             The learner will be able to            The learner will determine if a        The learner will determine:
limits, apply properties of limits,         evaluate limits, apply properties       approximate the rate of change at      function is differentiable. The        increasing and decreasing behavior
determine if a function is continuous,      of limits, determine if a function is   a point, graph of a function or a      learner will determine where the       of f(x); its’ critical points; concavity
over an interval, describe asymptotic       continuous, over an interval,           table of values and define the         derivative would fail to exist and     and points of inflection. Sketch the
behavior and estimate limits from           describe asymptotic behavior and        derivative in various ways. The        find the derivative at a point using   graphs of f’(x) and f”(x) when given
graphs.                                     estimate limits from graphs.            limit of the difference quotient.      the alternate definition.              f(x)
The slope of the tangent line at a
point. Instantaneous rate of
change The limit of the average
rate of change.
Activities:                                 Activities:                             Activities:                            Activities:                            Activities:
Classwork:                                  Class Activity:                         -Return Limits Test/go over            -Using Definition of a Derivative      Partner Work
Limits Review Sheet                         Administer Limits Unit Test             -Class Activity: Discovering the ---   -Day 2 prob.(on Unit Plan)             -the Derivative
Multiple Choice Limits                                                              Derivative at a Point                  -HWork: p.124 (See Unit plan)          - Major Curve Pieces
Collect Homework                                                                    -Assign: p.66 (see Unit Plan)           Plus selected problems on Unit        - The Derivative Function
Hwork: finish review work                                                                                                  Plan                                   - Intro into Curve Sketching
- HWork: p. 140 (Unit Plan)

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