First Semester (Calculus AP)        Syllabus           A video tour of the curriculum         Calculator doc/video listing          Enrichment topics
Rev 1
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Copyright © 2011-2012, Charles Cook, dba Blue Pelican Book Co: All rights reserved.
Unit 1: Function limits and continuity
 
Day 001 Lesson 01 Limit fundamentals, definitions
  Teacher version Student version Absent-student version Video Calc ApndxAE   CalcVideoAE
   
Day 002 Lesson 02 Limits of rational and graphed functions
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Day 003 Lesson 03 Limit theorems, limits of trig functions
  Quiz(T) Quiz(S)      
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  Enrichment Topic A (Special sine and cosine limits)  
  Teacher version Student version Absent-student version    
   
Day 004 Lesson 04 Limits involving infinity
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Day 005 Lesson 05 Piecewise functions and continuity
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  Enrichment Topic B (Formal definition of continuity)    
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Day 006 Unit 1 review Teacher version Student version
   
Day 007 Unit 1 test A Teacher version Student version
  Unit 1 test B Teacher version Student version
Unit 2: Derivative fundamentals
 
Day 008 Lesson 01 Average and instantaneous rates of change: Definition of derivative at x = c
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Day 009 Lesson 02 Equations of tangent and normal lines
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Day 010 Lesson 03 Formal definition of derivative
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Day 011 Lesson 04 A grapical look at derivatives
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Day 012 Lesson 05 Differentiability
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Day 013 Unit 2 review Teacher version Student version
   
Day 014 Unit 2 test A Teacher version Student version
  Unit 2 test B Teacher version Student version
Unit 3: Derivative formulas; Derivative of trig and piecewise functions
 
Day 015 Lesson 01 Constant and power rules
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  Enrichment Topic C (Verification of the power rule)  
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Day 016 Lesson 02 Product and quotient rules
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  Enrichment Topic D (Verification of the product and quotient rules)  
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Day 017 Lesson 03 Trig function derivatives
  Quiz(T) Quiz(S)      
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  Enrichment Topic E (Verification of the product and quotient rules)  
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Day 018 Lesson 04 Linear approximations; Derivatives of piecewise functions
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Day 019 Lesson 05 Calculator derivatives
  Teacher version Student version Absent-student version Video Calc ApndxAF   CalcVideoAF
   
Day 020 Unit 3 cumulative review
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Day 021 Unit 3 review Teacher version Student version
   
Day 022 Unit 3 test A Teacher version Student version
  Unit 3 test B Teacher version Student version
Unit 4: Chain rule, higher order derivatives, applied rates of change
 
Day 023 Lesson 01 Chain rule fundamentals
  Teacher version Student version Absent-student version Video  
  Enrichment Topic F (Verification of the chain rule)  
  Teacher version Student version Absent-student version    
   
Day 024 Lesson 02 Chain rule applied to trig functions
  Teacher version Student version Absent-student version Video  
   
Day 025 Lesson 03 Higher order derivatives
  Quiz(T) Quiz(S)      
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Day 026 Lesson 04 Applied rates of change (velocity, speed, and acceleration)
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Day 027 Unit 4 cumulative review
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Day 028 Unit 4 review Teacher version Student version
   
Day 029 Unit 4 test A Teacher version Student version
  Unit 4 test B Teacher version Student version
Unit 5: Implicit differentiation
 
Day 030 Lesson 01 Implicit differentiation fundamentals
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Day 031 Lesson 02 Tangent and normal lines (with implicit derivatives); Implicit higher order derivatives
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Day 032 Lesson 03 Related rates
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Day 033 Lesson 04 More related rate problems
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Day 034 Unit 5 cumulative review
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Day 035 Unit 5 review Teacher version Student version
   
Day 036 Unit 5 test A Teacher version Student version
  Unit 5 test B Teacher version Student version
Unit 6: Rolle's and the Mean Value Theorem; First and second derivative tests; Critical values
 
Day 037 Lesson 01 Rolle's Theorem and the Mean Value Theorem
  Teacher version Student version Absent-student version Video  
   
Day 038 Lesson 02 First derivative test; increasing/decreasing intervals; critical values
  Teacher version Student version Absent-student version Video  
   
Day 039 Lesson 03 Local and absolute extrema
  Quiz(T) Quiz(S)      
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Day 040 Lesson 04 Second derivative test: Concavity
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Day 041 Lesson 05 Graphs relating f(x), f '(x), and f ''(x)
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Day 042 Unit 6 cumulative review
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Day 043 Unit 6 review Teacher version Student version
   
Day 044 Unit 6 test A Teacher version Student version
  Unit 6 test B Teacher version Student version
Unit 7: Optimization (maximizing & minimizing)
 
Day 045 Lesson 01 Optimization problems
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Day 046 Lesson 02 More optimization problems
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Day 047 Lesson 03 Still more optimization problems
  Quiz(T) Quiz(S)      
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Day 048 Unit 7 cumulative review
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Day 049 Unit 7 test A Teacher version Student version
  Unit 7 test B Teacher version Student version
Unit 8: Derivatives of inverse, exponential, and logarithm functions
 
Day 050 Lesson 01 Fundamentals of inverse functions and their derivatives
  Teacher version Student version Absent-student version Video  
   
Day 051 Lesson 02 Derivatives of inverse trig functions
  Teacher version Student version Absent-student version Video  
  Enrichment Topic I (Verification of derivatives of inverse trig functions)  
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Day 052 Lesson 03 Derivatives of exponential functions
  Teacher version Student version Absent-student version Video  
  Enrichment Topic G (Verification of derivatives of exponential functions)  
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Day 053 Lesson 04 Derivatives of logarithm functions
  Quiz(T) Quiz(S)      
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  Enrichment Topic H (Verification of derivatives of logarithm functions)  
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Day 054 Unit 8 cumulative review
  Teacher version Student version
   
Day 055 Unit 8 review Teacher version Student version
   
Day 056 Unit 8 test A Teacher version Student version
  Unit 8 test B Teacher version Student version
Unit 9: Antiderivatives (indefinite integrals)
 
Day 057 Lesson 01 Basic integration rules, integrals of polynomials
  Teacher version Student version Absent-student version Video  
   
Day 058 Lesson 02 More integration practice
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Day 059 Lesson 03 Integrating trig functions
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Day 060 Lesson 04 Integration using the chain rule in reverse
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Day 061 Lesson 05 Applications of integration, evaluation of integration constants
  Teacher version Student version Absent-student version Video Calc ApndxAG   CalcVideoAG
   
Day 062 Lesson 06 Indefinite integrals with a graphing calculator
  Teacher version Student version Absent-student version Video Calc ApndxAG   CalcVideoAG
   
Day 064 Unit 9 review Teacher version Student version
   
Day 065 Unit 9 test A Teacher version Student version
  Unit 9 test B Teacher version Student version
Sem 1: Semester summary
 
Day 066
       -69
First semester comprehensive test review
  Teacher version Student version
   
Day 070 First semester comprehensive test
  Teacher version Student version
     
Copyright © 2011-2012, Charles Cook, dba Blue Pelican Book Co: All rights reserved.