Course Modules

8 Applications of Integration

8 Applications of Integration 8 Applications of Integration

Page

Intro to Applications of Integration Intro to Applications of Integration 1

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*** ap8.01 Average Value of Function *** ap8.01 Average Value of Function 2

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*** ap8.2 Connecting Position, Velocity and Acceleration using Integrals *** ap8.2 Connecting Position, Velocity and Acceleration using Integrals 3

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*** u8.3 Accumulation Functions & Definite Integrals in Applied Contexts *** u8.3 Accumulation Functions & Definite Integrals in Applied Contexts 4

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ap8.04 Area between Curves expressed in X ap8.04 Area between Curves expressed in X 5

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8.05 Area between curves expressed in Y 8.05 Area between curves expressed in Y 6

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ap8.06 Area between curves with multiple intersections ap8.06 Area between curves with multiple intersections 7

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8.07 Volumes with Cross-Sections - Squares and Rectangles 8.07 Volumes with Cross-Sections - Squares and Rectangles 8

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8.08 Volumes by Cross-Section, Triangles and Semi-Circles 8.08 Volumes by Cross-Section, Triangles and Semi-Circles 9

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8.09 Volumes by Revolution around X- and Y- Axis 8.09 Volumes by Revolution around X- and Y- Axis 10

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8.10 Volume with Discs Around Other Axes 8.10 Volume with Discs Around Other Axes 11

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8.11 Volume with Washers Around X and Y Axis 8.11 Volume with Washers Around X and Y Axis 12

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8.12 Volumes with Washers Around Other Axes 8.12 Volumes with Washers Around Other Axes 13

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Context Module Sub Header

Practice Circuits 14

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Attachment

Area Between Curves Circuit.pdf Area Between Curves Circuit.pdf 15

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Attachment

Advanced Volumes Circuit.pdf Advanced Volumes Circuit.pdf 16

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Attachment

ap8 Unit Review Circuit.pdf ap8 Unit Review Circuit.pdf 17

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7 Differential Equations

7 Differential Equations 7 Differential Equations

Page

Differential Equations Overview Differential Equations Overview 1

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7.01 Modeling with Differential Equations 7.01 Modeling with Differential Equations 2

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*** 7.02 Verifying Solutions for Differential Equations *** 7.02 Verifying Solutions for Differential Equations 3

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7.3 Sketching Slope Fields 7.3 Sketching Slope Fields 4

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External Url

ap7.03 WS-A Slope Fields ap7.03 WS-A Slope Fields 5

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*** 7.04 Reasoning with Slope Fields *** 7.04 Reasoning with Slope Fields 6

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7.06 Finding General Solutions Using Separation of Variables 7.06 Finding General Solutions Using Separation of Variables 7

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External Url

College Board Worksheet (skip card sort activity) College Board Worksheet (skip card sort activity) 8

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7.07-A Particular Solutions using Initial Conditions 7.07-A Particular Solutions using Initial Conditions 9

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External Url

ap7.07WS-A Particular Solutions to Diff Eqns ap7.07WS-A Particular Solutions to Diff Eqns 10

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*7.08* Exponential Models *7.08* Exponential Models 11

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Assignment

ap7-S4 ap7-S4 0 12

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6 Integration

6 Integration 6 Integration

Context Module Sub Header

Homework 1

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Assignment

ap6-ch4.02-03-HW ap6-ch4.02-03-HW 1.5 2

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Assignment

ap6-ch4.5HW ap6-ch4.5HW 1.5 3

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Context Module Sub Header

Assessments 4

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Assignment

ap6-F2 ap6-F2 0 5

assignment 304212 1

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Assignment

ap6-S2 ap6-S2 0 6

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Assignment

ap6-S4 TEST ap6-S4 TEST 0 7

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Context Module Sub Header

Modules 8

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Page

unit-6 Overview and Answer Keys unit-6 Overview and Answer Keys 9

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6.01 Accumulating Change 6.01 Accumulating Change 10

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6.2 Approximating Areas with Riemann Sums 6.2 Approximating Areas with Riemann Sums 11

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6.03 Riemann Sum Notation and The Definite Integral 6.03 Riemann Sum Notation and The Definite Integral 12

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*** 6.06 Properties of Definite Integrals *** 6.06 Properties of Definite Integrals 13

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6.4 Accumulation Functions and FTC 6.4 Accumulation Functions and FTC 14

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*** 6.05 Interpreting Accumulation Functions *** 6.05 Interpreting Accumulation Functions 15

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*** 6.07 FTC and Definite Integrals *** 6.07 FTC and Definite Integrals 16

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*** 6.08 finding Antiderivatives - Basic Rules and Notation *** 6.08 finding Antiderivatives - Basic Rules and Notation 17

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6.9 Integration using Substitution 6.9 Integration using Substitution 18

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6.10 Integrating with Long Division and Completing the Square 6.10 Integrating with Long Division and Completing the Square 19

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*** 6.14 Selecting Techniques for Anti-Differentiation *** 6.14 Selecting Techniques for Anti-Differentiation 20

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5 Analytical Application of Derivatives

5 Analytical Application of Derivatives 5 Analytical Application of Derivatives

Page

5.1 Mean Value Theorem 5.1 Mean Value Theorem 2

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Page

ap5.2 Critical Values and Extrema ap5.2 Critical Values and Extrema 3

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Page

ap5.3 Intervals of Increase and Decrease ap5.3 Intervals of Increase and Decrease 4

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Page

ap5.4 First Derivative Test ap5.4 First Derivative Test 5

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Page

*** ap5.5 The Candidates Test *** ap5.5 The Candidates Test 6

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Page

ap5.6 - Concavity ap5.6 - Concavity 7

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Page

ap5.7 Second Derivative Test ap5.7 Second Derivative Test 8

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Page

ap5.8 - Graphing Functions ap5.8 - Graphing Functions 9

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Page

ap5.9 Connecting Functions and Derivatives ap5.9 Connecting Functions and Derivatives 10

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4 Contextual Applications of Derivatives

4 Contextual Applications of Derivatives 4 Contextual Applications of Derivatives

Page

ap4.06 Linear Approximations ap4.06 Linear Approximations 2

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Page

ap4.07 L'Hopital's Rule ap4.07 L'Hopital's Rule 3

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Page

*** ap4.1 Derivatives in Context *** ap4.1 Derivatives in Context 4

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Context Module Sub Header

Interpreting Rates of Change 5

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Page

ap4.2A Particle Motion ap4.2A Particle Motion 6

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Page

ap4.2B Particle Motion Practice ap4.2B Particle Motion Practice 7

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Page

ap4.03 Rates of Change in General ap4.03 Rates of Change in General 8

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Context Module Sub Header

Related Rates 11

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Page

ap4.04A Introduction to Related Rates ap4.04A Introduction to Related Rates 12

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External Url

Analyzing Problems Involving Related Rates Analyzing Problems Involving Related Rates 13

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Page

ap4.05 Solving Related Rates Problems ap4.05 Solving Related Rates Problems 14

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External Url

Related Rates Station Questions Related Rates Station Questions 15

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External Url

Related Rates Station Answers Related Rates Station Answers 16

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External Url

Related Rates Station Solutions Related Rates Station Solutions 17

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External Url

ap4 Recorded Lectures ap4 Recorded Lectures 19

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Assignment

ap4-ch2.7-HW ap4-ch2.7-HW 1 23

assignment 264237 1

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Assignment

ap4-ch2.8-HW ap4-ch2.8-HW 0 24

assignment 264238 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

ap4 HW Deadline ap4 HW Deadline 0 25

assignment 264239 1

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ap2 & 3 Derivatives (~25 classes)

ap2 & 3 Derivatives (~25 classes) ap2 & 3 Derivatives (~25 classes)

Page

Basic Derivatives Overview Basic Derivatives Overview 1

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Page

ap2.01 Change at an Instant ap2.01 Change at an Instant 2

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Page

ap2.02 Definition of Derivative ap2.02 Definition of Derivative 3

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Page

** ap2.03 Estimating the Derivative at a Point ** ap2.03 Estimating the Derivative at a Point 4

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Page

** ap2.04 Differentiability and Continuity ** ap2.04 Differentiability and Continuity 6

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Page

ap2.05 Applying the Power Rule ap2.05 Applying the Power Rule 7

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Page

** ap2.06 Basic Derivative Rules ** ap2.06 Basic Derivative Rules 9

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Page

ap2.08 The Product Rule ap2.08 The Product Rule 10

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Page

ap2.09 The Quotient Rule ap2.09 The Quotient Rule 11

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Page

** ap2.07 Derivatives of Trigs and Exponentials ** ap2.07 Derivatives of Trigs and Exponentials 12

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Page

ap2.10 Derivative of other Trigs ap2.10 Derivative of other Trigs 13

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External Url

Finding Derivatives Using Your Calculator Finding Derivatives Using Your Calculator 14

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Page

ap3.01 The Chain Rule ap3.01 The Chain Rule 19

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Page

ap3.02 Implicit Derivatives ap3.02 Implicit Derivatives 21

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Assignment

ap2-ch2.3-HW ap2-ch2.3-HW 1.5 33

assignment 264231 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

ap2-ch2.4-HW ap2-ch2.4-HW 0 34

assignment 264232 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

ap3-ch2.6-HW ap3-ch2.6-HW 1 35

assignment 264233 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
Assignment

ap2 HW Deadline ap2 HW Deadline 0 36

assignment 264234 1

Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

1 Limits (~20 classes)

1 Limits (~20 classes) 1 Limits (~20 classes)

Page

*** 1.01 Change at an Instant *** *** 1.01 Change at an Instant *** 2

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*** 1.02 Defining Limits *** *** 1.02 Defining Limits *** 3

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1.03 Limits and Graphs 1.03 Limits and Graphs 4

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1.04 Estimating Limits from Tables 1.04 Estimating Limits from Tables 5

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1.05 - Determining Limits Using Algebraic Properties 1.05 - Determining Limits Using Algebraic Properties 7

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1.06 - Determining Limits Using Algebraic Manipulation 1.06 - Determining Limits Using Algebraic Manipulation 8

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1.07 Selecting Procedures for Limits 1.07 Selecting Procedures for Limits 9

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1.08 The Squeeze Theorem 1.08 The Squeeze Theorem 10

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1.09 Connecting Multiple Representations 1.09 Connecting Multiple Representations 13

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Page

*** 1.10 Exploring Types of Discontinuities *** *** 1.10 Exploring Types of Discontinuities *** 14

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1.11 and 1.12 Continuity 1.11 and 1.12 Continuity 15

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1.13 Removing Discontinuities 1.13 Removing Discontinuities 16

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1.14 & 1.15 Connecting Limits and Asymptotes 1.14 & 1.15 Connecting Limits and Asymptotes 19

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1.16 The Intermediate Value Theorem 1.16 The Intermediate Value Theorem 20

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Context Module Sub Header

Homework 22

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Assignment

ap1.04-ch1.5-HW ap1.04-ch1.5-HW 1.5 23

assignment 264214 1

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Assignment

ap1.05-ch1.6-HW ap1.05-ch1.6-HW 1.5 24

assignment 264216 1

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Assignment

ap1-ch1.8-HW ap1-ch1.8-HW 1.5 25

assignment 264218 1

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Assignment

ap1 HW Deadline ap1 HW Deadline 0 26

assignment 264235 1

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Welcome to AP Calculus

Welcome to AP Calculus Welcome to AP Calculus

Page

Join AP Classroom Join AP Classroom 1

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External Url

Algebra and PreCalc Review Booklet Algebra and PreCalc Review Booklet 2

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Page

Productive Study Groups Productive Study Groups 3

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Page

Pomodoro Studying/Focus Technique Pomodoro Studying/Focus Technique 4

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Context Module Sub Header

Solving Word Problems 6

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Attachment

Method of Structured Problem Solving.pdf Method of Structured Problem Solving.pdf 7

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Attachment

Structured Problem Solving Summary.pdf Structured Problem Solving Summary.pdf 8

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Attachment

3 Reads version 3.pdf 3 Reads version 3.pdf 9

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Context Module Sub Header

Active Reading and Notetaking 11

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Page

SQR3 Notetaking Method Resources SQR3 Notetaking Method Resources 12

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Page

SQR3 Video Tutorials SQR3 Video Tutorials 13

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External Url

Blank SQR3 Notetaking Template Blank SQR3 Notetaking Template 14

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Page

Cornell Notes Video Tutorials Cornell Notes Video Tutorials 15

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External Url

Another Focused Notetaking Summary Another Focused Notetaking Summary 16

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Context Module Sub Header

TI-84 Calculator Tutorials 17

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External Url

Basic Settings, Graphing, and Table Values Basic Settings, Graphing, and Table Values 18

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External Url

Finding Roots and Intersections Finding Roots and Intersections 19

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External Url

Finding Derivatives using your calculator Finding Derivatives using your calculator 20

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External Url

Integration on the Calculator Integration on the Calculator 21

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External Url

Finding Extrema Finding Extrema 22

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Score at least Must score at least to complete this module item Scored at least Module item has been completed by scoring at least Score at least % Must score at least % to complete this module item Scored at least % Module item has been completed by scoring at least % View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark done Must mark this module item done in order to complete Marked done Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

Course Modules

8 Applications of Integration

Practice Circuits 14

7 Differential Equations

6 Integration

Homework 1

Assessments 4

Modules 8

5 Analytical Application of Derivatives

4 Contextual Applications of Derivatives

Interpreting Rates of Change 5

Related Rates 11

ap2 & 3 Derivatives (~25 classes)

1 Limits (~20 classes)

Homework 22

Welcome to AP Calculus

Solving Word Problems 6

Active Reading and Notetaking 11

TI-84 Calculator Tutorials 17