Unit 4 Contextual Applicationsap Calculus
Unit 4: Contextual Applications of Derivatives Unit 4 Test: 12/4 Date. Day 1 11/18 B Monday. Unit 4.1: Contextual Applications and Motions. 4.0 Unit 4 Overview: Contextual Applications of Differentiation Now that you have mastered the rules and formulas of differentiation, it is time for us to apply them! This section focuses on taking all the previous derivative rules and applying them in different contexts.
- Unit 4 Contextual Applicationsap Calculus 1
- Unit 4 Contextual Applicationsap Calculus Pdf
- Unit 4 Contextual Applicationsap Calculus Answers
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ENDURING UNDERSTANDING
CHA-3 Derivatives allow us to solve real-world problems involving rates of change.
Unit 4 - Contextual Applications of Differentiation Local Linearity and Linearization. This helps us a function using the tangent line to the curve. If f(a) = a number you know and x is very close to a, then you do approximate f(x) by: f(x) = EX#1 - What is the approximate value of f(x) = 3 x when x = 8.2? First Semester (Calculus AP) Syllabus A video tour of the curriculum Calculator doc/video listing Enrichment topics Rev 1 Adobe Flash Player is required to watch the videos.
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Topic Name | Essential Knowledge |
| 4.1 Interpreting the Meaning of the Derivative in Context LEARNING OBJECTIVE CHA-3.A Interpret the meaning of a derivative in context. | CHA-3.A.1 The derivative of a function can be interpreted as the instantaneous rate of change with respect to its independent variable. |
| CHA-3.A.2 The derivative can be used to express information about rates of change in applied contexts. | |
| CHA-3.A.3 The unit for is the unit for f divided by the unit for x. |
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At Just the Right Time A good problem
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| 4.2 Straight Line Motion: Connecting Position, Velocity, and Acceleration LEARNING OBJECTIVE CHA-3.B Calculate rates of change in applied contexts. | CHA-3.B.1 The derivative can be used to solve rectilinear motion problems involving position, speed, velocity, and acceleration. |
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The Ubiquitous Particle Motion Problem – a PowerPoint Presentation and its Handout
Motion Problems: Same Thing Different Context (11-16-2012) Matching Motion (9-16-2016)
Motion Matching A quick quiz
Speed (11-19-2012)
Speed Activity An exploration on Speed
A Note on Speed (4-21-2018) An analytic approach
Brian Leonard’s Particle Motion Game Velocity Game and answers Velocity game Answers
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| 4.3 Rates of Change in Applied Contexts Other than Motion LEARNING OBJECTIVE CHA-3.C Interpret rates of change in applied contexts. | CHA-3.C.1 The derivative can be used to solve problems involving rates of change in applied contexts. |
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Unit 4 Contextual Applicationsap Calculus 1
| 4.4 Introduction to Related Rates LEARNING OBJECTIVE CHA-3.D Calculate related rates in applied contexts. | CHA-3.D.1 The chain rule is the basis for differentiating variables in a related rates problem with respect to the same independent variable. |
| CHA-3.D.2 Other differentiation rules, such as the product rule and the quotient rule, may also be necessary to differentiate all variables with respect to the same independent variable. |
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Related Rates Problems 1
Related Rate Problems II
Good Question 9 Baseball and Related Rates
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| 4.5 Solving Related Rate Problems LEARNING OBJECTIVE CHA-3.E Interpret related rates in applied contexts. | CHA-3.E.1 The derivative can be used to solve related rates problems; that is, finding a rate at which one quantity is changing by relating it to other quantities whose rates of change are known. |
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Related Rates Problems 1
Related Rate Problems II
Good Question 9 Baseball and Related Rates
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| 4.6 Approximating Values of a Function Using Local Linearity and Linearization LEARNING OBJECTIVE Best file sync app for mac. CHA-3.F Approximate a value on a curve using the equation of a tangent line. | CHA-3.F.1 The tangent line is the graph of a locally linear approximation of the function near the point of tangency. |
| CHA-3.F.2 For a tangent line approximation, the function’s behavior near the point of tangency may determine whether a tangent line value is an underestimate or an overestimate of the corresponding function value. |
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Local Linearity The graphical manifestation of the derivative
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Helicopter game&& try the games. ENDURING UNDERSTANDING
Unit 4 Contextual Applicationsap Calculus Pdf
LIM-4 L’Hospital’s Rule allows us to determine the limits of some indeterminate forms.
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| 4.7 Using L’Hospital’s Rule for Determining Limits of Indeterminate Forms LEARNING OBJECTIVE LIM-4.A Determine limits of functions that result in indeterminate forms. | LIM-4.A.1 When the ratio of two functions tends to or in the limit, such forms are said to be indeterminate. |
| LIM-4.A.2 Limits of the indeterminate forms or may be evaluated using L’Hospital’s Rule. |
EXCLUSION STATEMENT: There are many other indeterminate forms, such as , for example, but these will not be assessed on either the AP Calculus AB or BC Exam. However, teachers may include these topics, if time permits.
Unit 4 Contextual Applicationsap Calculus Answers
Didiers sound spectrum band download torrent. Blog Posts
Determining the Indeterminate 1
Determining the Indeterminate 2 Same name, different post. Examining an implicit relation
Locally Linear L’Hôpital Demonstrating L’Hôpital’s Rule (a/k/a L’Hospital’s Rule)
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