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ChMain IdeaSectionTopicFlipbook Videos, etcExtra Practice & ReadingsPatrick JMT VideosKhan Academy VideosOther Videos or PDFsTo Prepare
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Ch 1A Beginning Look at CalculusCh 1 Review & Preview SolutionsKuta Packet for Ch 1ALL CH 1 RESOURCESShowMe: Functions
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Reading Packet for Ch 1
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Pre-WorkPre-WorkSlope from a GraphKuta – Slope from a Graph
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Pre-WorkSlope from Two PointsKuta - Slope from Two PointsSlope of a Line
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Pre-WorkDividing PolynomialsKuta - Dividing PolynomialsLong Division of Polynomials
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Long Division of Polynomials – A slightly harder
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Pre-WorkFactoring Trinomials(1.1.1) Flipbook - Factoring Trinomials ReviewKuta – Factoring Trinomials (a=1)Factoring Trinomials (Playlist)
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Pre-WorkFactoring TrinomialsKuta – Factoring Trinomials (a>1)Solving Quadratic Equations (Playlist)Matching expressions to define intervals of functions example
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Pre-WorkDomain & RangeKuta – Domain & Range (A, B)Finding the Domain of a Function Algebraically (No
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Rational Expressions and Domain
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Finding the Domain of an Expression Involving Fractions
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Finding Domains of Functions Involving Radicals
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Applying Rates & Distance1.1.1Applying Rates and Distance(1.1.1) Flipbook - Distance & Speed Graphs
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Asymptotes, Inverse Functions, and Other Important Functions1.2.1Piecewise Functions and ContinuityShowMe: Functions(1.2.1) FSW - Piecewise, Domain Range, and Factoring to Solve SOLUTIONSPiecewise Defined Functions: GraphingWhat is a function?
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(1.2.1) Flipbook - Domain & Range (algebraically)Evaluating Piecewise Defined FunctionsFinding a piecewise function definition from graph
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(1.2.1) Flipbook - Domain & Range (from a graph)Assessment: Graphs of piecewise functions
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(1.2.1) Flipbook - Piecewise FunctionsGraphs of absolute value functions
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(1.2.1) Flipbook - Polynomial Division (box method)
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(1.2.1) Polynomial Division ExampleAbsolute value graphing exercise example
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1.2.2End Behavior and Horizontal Asymptotes1.2.2 Flipbook - Horizontal AsymptotesKuta - Simplifying Rational ExpressionsGraphing a Rational Function that has an Oblique/Slant Asymptote and a Vertical AsymptoteHorizontal and vertical asymptotes of a function
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1.2.2 Flipbook - Holes & Vertical Asymptotes
(1.2.2) Kuta - Polynomial Division #10.mov
Rational Functions: Shortcut to Find Horizontal Asymptotes
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(1.2.2) Kuta - Polynomial Division #11.mov
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1.2.3Holes, Vertical Asymptotes, and Approach Statements1.2.2 Flipbook - Last exampleKuta - Graphing Rational FunctionsRational Functions: Vertical AsymptotesAnother rational functions example
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(1.2.3) Tic Tac Toe - Piecewise & Holes Asymptotes SOLUTIONSRational Functions: Slant AsymptotesA third example of graphing a rational function
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(1.2.3) Flipbook - Approach Statements(1.2.3) Tic Tac Toe #1 (piecewise)Find Asymptotes of a Rational Function (Vertical and Oblique/Slant)Finding horizontal and vertical asymptotes
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(1.2.3) Flipbook - Holes, Asymptotes, End Behavior(1.2.3) Tic Tac Toe #3 (holes & asymptotes)Find Asymptotes of a Rational Function (Vertical and Oblique/Slant), Ex 2Visually determining vertical asymptotes
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(1.2.3) Tic Tac Toe #7 (holes & asymptotes)Limits at positive and negative infinity
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(1.2.3) Tic Tac Toe #8 (holes & asymptotes)Graphing Some Basic Rational Functions – Example 1
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(1.2.3) Tic Tac Toe #12 (piecewise)Graphing a Rational Function – Example 1
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(1.2.3) Tic Tac Toe #14 (holes & asymptotes)Graphing a Rational Function – Example 2
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Graphing a Rational Function – Example 3
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Graphing a Rational Function – Example 4
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1.2.4Composite Functions and Inverse Functions#1-47 in PDFInverse Functions – The Basics!Creating new function from composition
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Inverse of a FunctionEvaluating composite functions example
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Finding the Inverse of a Function or Showing One Does not Exist, Ex 2Evaluating composite functions
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Finding the Inverse of a Function or Showing One Does not Exist, Ex 3Function inverse example 1
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Finding the Inverse of a Function or Showing One Does not Exist, Ex 4Function inverse example 2
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Function inverse example 3
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1.2.5Attributes of Even and Odd Functions(1.2.5) #1-77 Review of graphing sin(x) & cos(x)1.2 Operations on Functions and Types of FunctionsExamples with Trigonometric Functions: Even, Odd or Neither, Example 1When a function is positive or negative
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(1.2.5) Flipbook - Even & Odd, ex 1Recognizing odd and even functions
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(1.2.5) Flipbook - Even & Odd, ex 1Connection between even and odd numbers and functions
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1.2.6Design a Flag (optional)
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Finite Differences1.3.1Finite Differences
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1.3.2Slope Statements and Finite Differences of Non-Polynomials
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1.3.3The Slope Walk
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Distance, Average Velocity & Acceleration1.4.1Distance and Velocity
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1.4.2Average Velocity on a Position Graph(1.4.2) Flipbook - Average Velocity from a Distance GraphSlope of a line secant to a curve
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Slope of a secant line example 1
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Slope of a secant line example 2
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Slope of a secant line example 3
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Approximating instantaneous rate of change word problem
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Approximating equation of tangent line word problem
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Interpreting slope of a curve exercise
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1.4.3Average Velocity on a Velocity Graph(1.4.3) Flipbook - Average Velocity using a Velocity Graph
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1.4.4Acceleration
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Area & Slope1.5.1Area and Slope
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ClosureClosure
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Ch 2Rates, Sums, Limits, and ContinuityCh 2 Review & Preview SolutionsKuta Packet for Ch 2ALL CH 2 RESOURCESShowMe: Limits
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Reading Packet for Ch 2
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Area Under the Curve2.1.1Area Under the Curve Using TrapezoidsKuta – Approximating Area Under a CurveApproximating distance travelled
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Rectangular and trapezoidal Riemann approximations
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Trapezoidal approximation of area under curve
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Riemann sums and integrals
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2.1.2Methods to Easily Calculate Area2.1.2 Flipbook Notes on Riemann Sums & Sigma
(2.1.2) Kuta - #4 (Riemann Sums, Area Under a Curve).mov
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2.1.3Area Under the Curve as a Riemann SumKuta – Approximating Area Under a Curve
Need some practice on summation notation? Check out Desmos' quick lesson on it:
http://learn.desmos.com/summation		Summation NotationSimple Riemann approximation using rectangles
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(2.1.3) #2-29 through 2-32
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(2.1.3) 8 tables - Sigma Notation SOLUTIONSGeneralizing a left Riemann sum with equally spaced rectangles
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(2.1.3) 8 tables - #1Approximating area under curve and sigma notation
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(2.1.2) Tic Tac Toe - Riemann Sums SOLUTIONS
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Limits & Continuity2.2.1Introduction to Limits as PredictionsShowMe: Limits1.6 One-sided LimitsWhat is a Limit? Basic Idea of LimitsIntroduction to Limits
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(2.2.1) Flipbook - LimitsInferring limit from numerical data
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Estimating limit numerically
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One-sided limits from graphs
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Limit at a point of discontinuity
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Determining which limit statements are true
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2-sided limit from graph
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2.2.2Intuitive ideas of Continuity(2.2.2) Flipbook - 3 Conditions for Continuity (pt 1)Limits from a Graph – AP Calculus
Limits, Continuity, and Differentiability
Kuta – Evaluating Limits (A, B, C, D)		Calculating a Limit Involving Absolute ValueLimits to define continuity
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(2.2.2) Flipbook - 3 Conditions for Continuity (pt 2)Limit and function defined at a point of discontinuity
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(2.2.2) #2-61 SolutionsFancy algebra to find a limit and make a function continuous
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Defining a function at a point to make it continuous
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2.2.3Definition of Continuity1.8 Continuity of a Function at a Number
Kuta - Continuity		Continuity – Part 1 of 2
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Continuity – Part 2 of 2
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Intermediate Value Theorem
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2.2.4Evaluating Limits(2.2.4) Flipbook - Evaluating Limits Algebraically EX 11.7 Infinite Limits
Kuta – Evaluating Limits		Calculating a Limit by Factoring and CancellingLimit example 1
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(2.2.4) Flipbook - Evaluating Limits Algebraically EX 2(2.2.4) Find Someone Who - Evaluating Limits Algebraically SOLUTIONSCalculating a Limit by Getting a Common DenominatorLimit properties
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(2.2.4) Flipbook - Evaluating Limits Algebraically EX 3(2.2.4) Find Someone Who - Evaluating Limits Algebraically #7Calculating a Limit by Expanding and SimplifyingLimit by factoring cubic expression
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(2.2.4) Flipbook - Evaluating Limits Algebraically EX 4(2.2.4) #2-90Calculating a Limit by Multiplying by a ConjugateLimits and Infinity
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(2.2.4) Pre-LessonInfinite LimitsVertical asymptote of natural log
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(2.3.2) Pre-Lesson (unit conversion)Limits at positive and negative infinity
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More limits at infinity
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Limits with two horizontal asymptotes
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Limits at infinity using algebra
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Instantaneous Rates of Change2.3.1Ramp Lab
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2.3.2Sudden Impact
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2.3.3Local Linearitysin(x)/x Limit as x Approaches ZeroLocal linearization
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Local linearization example
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Riemann Sums2.4.1Improving ApproximationApproximating Integrals: Trapezoid Rule
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ClosureClosure
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Ch 3Slope & Curve AnalysisCh 3 Review & Preview SolutionsKuta Packet for Ch 3ALL CH 3 RESOURCESShowMe: Differentiation