Chalkboard
Index
 
Mathematics
· Grade K 1st Nine Weeks
· Grade K 2nd Nine Weeks
· Grade K 3rd Nine Weeks
· Grade K 4th Nine Weeks
· Grade One 1st Nine Weeks
· Grade One 2nd Nine Weeks
· Grade One 3rd Nine Weeks
· Grade One 4th Nine Weeks
· Grade Two 1st Nine Weeks
· Grade Two 3rd Nine Weeks
· Grade Two 2nd Nine Weeks
· Grade Two 4th Nine Weeks
· Grade Three 3rd Nine Weeks
· Grade Three 1st Nine Weeks
· Grade Three 2nd Nine Weeks
· Grade Three 4th Nine Weeks
· Grade Four 1st Nine Weeks
· Grade Four 2nd Nine Weeks
· Grade Four 3rd Nine Weeks
· Grade Four 4th Nine Weeks
· Grade 5 Test 1--Aug. 27--Oct. 28, 2008
· Grade 5 Test 2--Oct. 29-Jan. 20, 2009
· Grade 5 Test 3--Jan. 21-Mar. 17, 2009
· Grade 6 Test 1--Aug. 27-Oct. 28, 2008
· Grade 6 Test 2--Oct. 29-Jan. 20, 2009
· Grade 6 Test 3--Jan. 21-Mar. 17, 2009
· Grade 7 Test 1--Aug. 27-Oct. 24, 2008
· Grade 7 Test 2--Oct. 25--Jan. 9, 2009
· Grade 7 Test 3--Jan. 10-Mar. 19, 2009
· Pre-Algebra Test 1-Aug. 27-Oct. 28, 2008
· Pre-Algebra Test 2-Oct. 25-Jan. 9, 2009
· Pre-Algebra Test 3-Jan.10-Mar. 19, 2009
· Grade 8 Test 1--Aug. 21-Oct. 23, 2008
· Grade 8 Test 2--Oct. 24-Jan. 29, 2009
· Grade 8 Test 3--Jan. 30-Mar. 19, 2009
· Grade Eight 3rd Nine Weeks
· Grade Eight 1st Nine Weeks
· Grade Eight 2nd Nine Weeks
· Grade Eight 4th Nine Weeks
· Algebra 1 Test 1-Aug. 21-Oct. 29, 2008
· Algebra 1 Test 2--Oct. 30-Jan. 30, 2009
· Algebra 1 Test 3--Jan. 31-Mar. 19, 2009
· Algebra B Test 1-Aug. 21-Oct. 29, 2008
· Algebra B Test 2--Oct. 30-Jan. 29, 2009
· Algebra B Test 3--Jan. 31-Mar. 19, 2009
· Algebra A--First Nine Weeks
· Algebra A--Second Nine Weeks
· Algebra A--Third Nine Weeks
· Algebra A--Fourth Nine Weeks
· Geometry Test 1--Aug. 21-Oct. 23, 2008
· Geometry Test 2--Oct. 24-Jan. 21, 2009
· Geometry Test 3--Jan. 22-Mar. 19, 2009
· Transitional Math 1st 9 weeks
· Transitional Math-2nd 9 weeks
· Transitional Math-3rd 9 weeks
· Transitional Math-4th 9 weeks
· Algebra II Test 1--Aug. 21-Nov. 12, 2008
· Algebra II Test 2--Nov. 13-Jan. 28, 2009
· Algebra II Test 3--Jan. 29-Mar. 18, 2009
· Algebraic Connections--First Nine Weeks
· Algebraic Connections--Second Nine Weeks
· Algebraic Connections--Third Nine Weeks
· Algebraic Connections--Fourth Nine Weeks
· Pre-Calculus--First Nine Weeks
· Pre-Calculus--Second Nine Weeks
· Pre-Calculus--Third Nine Weeks
· Pre-Calculus--Fourth Nine Weeks
· Calculus AB--First Nine Weeks
· Calculus AB--Second Nine Weeks
· Calculus AB--Third Nine Weeks
· Calculus AB--Fourth Nine Weeks

© 2008 by Paragould School District and Scantron Corporation.
All Rights Reserved.

Made with Curriculum Designer
Made with
Curriculum Designer by
Scantron Corporation

Paragould School District
PSD Math 2008-09
Mathematics - Calculus AB--Second Nine Weeks

Derivatives
*** 2.1 Concept Of The Derivative
The learner will be able to understand of the concept of the derivative.
Source
Arkansas Mathematics Frameworks 2004
  
2.1.1
The learner will be able to understand the derivative presented graphically, numerically, and analytically.
Source
Arkansas Mathematics Frameworks 2004
  
2.1.2
The learner will be able to understand the derivative interpreted as an instantaneous rate of change.
Source
Arkansas Mathematics Frameworks 2004
  
2.1.3
The learner will be able to understand the derivative defined as the limit of the difference quotient.
Source
Arkansas Mathematics Frameworks 2004
  
2.1.4
The learner will be able to understand the relationship between differentiability and continuity.
Source
Arkansas Mathematics Frameworks 2004
  
***2.2 Derivative At A Point
The learner will be able to understand a derivative at a point.
Source
Arkansas Mathematics Frameworks 2004
  
2.2.1
The learner will be able to understand slope of a curve at a point. Examples are emphasized, including points at which there are vertical tangents and points at which there are no tangents.
Source
Arkansas Mathematics Frameworks 2004
  
2.2.2
The learner will be able to understand a tangent line to a curve at a point and local linear approximation.
Source
Arkansas Mathematics Frameworks 2004
  
2.2.3
The learner will be able to understand instantaneous rate of change as the limit of average rate of change.
Source
Arkansas Mathematics Frameworks 2004
  
2.2.4
The learner will be able to understand approximate rate of change from graphs and tables of values.
Source
Arkansas Mathematics Frameworks 2004
  
***2.3 Derivative As A Function
The learner will be able to understand derivative as a function.
Source
Arkansas Mathematics Frameworks 2004
  
2.3.1
The learner will be able to understand corresponding characteristics of graphs of f and f'.
Source
Arkansas Mathematics Frameworks 2004
  
2.3.2
The learner will be able to understand relationship between the increasing and decreasing behavior of f and sign of f'.
Source
Arkansas Mathematics Frameworks 2004
  
2.3.3
The learner will be able to understand the Mean Value Theorem and its geometric consequences.
Source
Arkansas Mathematics Frameworks 2004
  
2.3.4
The learner will be able to understand equations involving derivatives. Verbal descriptions are translated into equations involving derivatives and vice versa.
Source
Arkansas Mathematics Frameworks 2004
  
***2.4 Second Derivatives
The learner will be able to understand second derivatives.
Source
Arkansas Mathematics Frameworks 2004
  
2.4.1
The learner will be able to understand corresponding characteristics of the graphs of f, f', and f''.
Source
Arkansas Mathematics Frameworks 2004
  
2.4.2
The learner will be able to understand relationship between the concavity of f and the sign of f''.
Source
Arkansas Mathematics Frameworks 2004
  
2.4.3
The learner will be able to understand points of infection as places where concavity changes.
Source
Arkansas Mathematics Frameworks 2004
  
***2.5 Applications Of Derivatives
The learner will be able to understand applications of derivatives.
Source
Arkansas Mathematics Frameworks 2004
  
2.5.1
The learner will be able to understand analysis of curves, including the notions of monotonicity and concavity.
Source
Arkansas Mathematics Frameworks 2004
  
2.5.2
The learner will be able to understand Optimization, both absolute (global) and relative (local) extrema.
Source
Arkansas Mathematics Frameworks 2004
  
2.5.3
The learner will be able to understand modeling rates of changes, including related rates problems.
Source
Arkansas Mathematics Frameworks 2004
  
2.5.4
The learner will be able to use of implicit differentiation to find the derivative of an inverse function.
Source
Arkansas Mathematics Frameworks 2004
  
2.5.5
The learner will be able to understand interpretation of the derivative as a rate of change in varied applied contexts, including velocity, speed, and acceleration.
Source
Arkansas Mathematics Frameworks 2004
  
2.5.6
The learner will be able to understand geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations.
Source
Arkansas Mathematics Frameworks 2004
  
***2.6 Computation Of Derivatives
The learner will be able to understand computation of derivatives.
Source
Arkansas Mathematics Frameworks 2004
  
2.6.1
The learner will be able to understand the knowledge of derivatives of basic functions, including power, exponential, logarithmic, trigonometric, and inverse trigonometric functions.
Source
Arkansas Mathematics Frameworks 2004
  
2.6.2
The learner will be able to understand basic rules for the derivative of sums, products, and quotients of functions.
Source
Arkansas Mathematics Frameworks 2004
  
2.6.3
The learner will be able to understand Chain rule and implicit differentiation.
Source
Arkansas Mathematics Frameworks 2004
  
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