Mr Hickman's Class 2022-2023
Mr Hickman does NOT participate in social media!
  • Home
    • About
    • CC Math Standards Page >
      • CC Functions
    • VIDEOS 2020-2021
    • Desmos Library Directory >
      • Desmos How to VIDEOS 1
      • Desmos: How Do I Library
      • Desmos Coordinate Geometry
      • Desmos Geometry
      • Algebra Desmos Library >
        • Lines and Linear Functions
      • Quadratics 101 >
        • Parabola 101: Vertex Form Function
        • Parabola 101: Vertex Form Relations
      • Desmos: Advanced Algebra >
        • Non Linear Systems
      • Desmos Trigonometry
      • Desmos PreCalculus >
        • Desmos: Absolute Value Function
        • Desmos: Piecewise Functions
        • Desmos Polar Coordinate System
      • Desmos: AP Calculus
    • Digital Resources: >
      • Digital Resources: Number Line, Lines, and Linear Systems
      • Geogebra Library Directory
      • TI Nspire Library Directory >
        • TI Nspire How to VIDEOS 1
      • YOU Tube Library Directory
      • KHAN Academy Library Directory
      • "Other" Websites Library Directory
    • Technology Tutorials >
      • Building a Weebly Page >
        • How to Use a Template page to add pages quickly
      • MS Teams Technology Tutorials
      • MS Whiteboard Technology Tutorials
      • Flip Grid Technology Tutorials
      • One Note Technology Tutorials
      • Small PDF Technology Tutorials
    • What calculator should I get?
    • SAT Review 2019 >
      • Complex Number Review
    • PC Documents
  • ALGEBRA
    • Power Practice
    • Radical Practice
    • Exponential Practice
    • Logarithm Practice
    • Logarithmic Practice
    • Rational Functions
  • Geometry
    • Geometry File Library
    • BOY Review: Solve Equations 1
    • Week 4 Geometry Enriched
    • Week 5 Geometry Enriched
    • Enriched Geometry Semester 1 Archive
  • PRE-CALC
  • AP PRE-CALC
  • AP CALC AB
    • AP Calculus Objectives from AP Central
    • AP Calc AB Exam Details & Prep
    • AP CALC AB UNIT 1
    • AP CALC AB UNIT 2
    • AP CALC AB UNIT 3
    • AP CALC AB UNIT 4
    • AP CALC AB UNIT 5
    • AP CALC AB UNIT 6
    • AP CALC AB UNIT 7
    • AP CALC AB UNIT 8
    • CALC AB WK 4 GP4
    • AP Calculus Worksheets
  • Data Prob Stats

Second Semester AP Calculus 2019-2020


Topics

  • Approximation of areas under a curve using rectangles
  • Finding the integrals of basic functions
  • Using U-substitution to find integrals of more complex functions
MS Teams Assignments 
  1. Rank and Integrate Using U Substitution
  2. PON 5.3 Problems & Assignment
Goals
  • Be able to use LRAM, RRAM, MRAM to approximate areas under curve
  • Understand the connection to "positive" and "negative" areas and integration
  • Be able to connect derivative to the integration process
  • Be able to use properties of integrals to take integrals of polynomials, rational, radical, exponential, logarithmic functions, or trigonometric functions
  • Be able to use u substitution to find integrals of more complex functions
Picture
Practice 

Integration Basics Practice
  • PON 5.1 HWK​​
  • PON 5.1 ASSIGNMENT​
  • PON 5.2 HWK​
  • PON 5.2 ASSIGNMENT​​
  • PON 5.1 HWK Solutions
  • ​PON 5.1 Assignment
  • ​PON 5.2 HWK Solutions
  • ​PON 5.2 Assignment​
  • KUTA Power rule practice with answers
  • MATH AIDS Power Rule Practice with answers
  • MATH AIDS Power Rule Practice with answers 2

Area under Curve
  • PON 5.5 HWK
  • PON 5.5 ASSIGNMENT
  • ​​PON 5.5 HWK Solutions
  • ​PON 5.5 Assignment
  • KUTA Area under curve using rectangles with answers
  • KUTA Riemann Sum Area for a function based on a table
  • ​KUTA Area under Curve through Definite Integration
    • problems 11-16 require piecewise or u substitution
    • FTC 1
  • KUTA Second Fundamental Theorem of Calculus 

U Substitution
The reverse of the Chain Rule
Picture
  • PON 5.3 HWK
    • ​​PON 5.3 HWK Solutions
  • PON 5.3 Assignment
  • ​PON 5.4 HWK
    • ​​PON 5.4 HWK Solutions​​
  • PON 5.4 Assignment
  • ​KUTA U Substitution
  • KUTA U Substitution​​ 2​
  • U Substitution Practice 
  • U Substitution Practice 2
    • Worked Out ​Solutions
  • ​U Substitution Practice 3
  • U Substitution Practice 4
    • ​​worked out solutions
  • ​​U Substitution Practice 5
    • ​​worked out solutions

Integration of Exponential and Logarithmic Functions
  • KUTA Logarithm and Exponential Integrals
  • KUTA Logarithm and Exponential Integrals 2
  • MATH AIDS Log and Exponential Practice with answers
  • MATH AIDS Log and Exponential Practice with answers 2
  • MATH AIDS Log and Exponential Practice with answers 3

Integration of Trigonometric Functions
  • ​KUTA Trigonometric Function Integrals
  • KUTA Trigonometric Function Integrals 2
  • MATH AIDS Trigonometric Practice with answers
  • MATH AIDS Trigonometric Practice with answers 2

Integration of Inverse Trigonometric Functions 
  • KUTA Inverse Trigonometric Function Integrals
  • ​KUTA Inverse Trigonometric Function Integrals 2
  • MATH AIDS Inverse Trig Function Practice with answers
  • MATH AIDS Inverse Trig Function Practice with answers 2
  • MATH AIDS Inverse Trig Function Practice with answers 3

Mixed Integration Practice
  • Mixed Integration with Answers
  • ​Mixed Integration with Answers 2
  • ​Mixed Integration 3
    • ​​worked out solutions
  • ​​​Mixed Integration 4
    • ​​worked out solutions​
  • ​​Mixed Integration 5
    • ​​worked out solutions​​
  • ​​Mixed Integration 6
    • ​​worked out solutions​
  • ​​​Mixed Integration 7
    • ​​worked out solutions​​

Links and Resources
  • Paul's Online Notes for Calc 1
  • ​A Free Calculus Book
Picture
  • Indefinite Integral Lecture
  • U Substitution Lecture
  • ​Area under curve through Limits Lecture
  • Definite Integral Lecture
  • ​Fundamental Theorem of Calculus Lecture​​
Picture
  • Calculus Directory
Picture
  • Anti-Derivative Lecture
  • Definite Integrals Lecture
  • Fundamental Theorem of Calculus I Lecture 
  • Fundamental Theorem of Calculus II Lecture
Picture
  • Integration Directory
  • Optimization links 
Picture
  • Calculus Directory
  • Integration Directory
Picture
  • Integration Basics 1
  • Integration Basics 2
  • ​Indefinite Integrals 1
  • Fundamental Theorem of Calculus 1
  • FTC 2
  • ​FTC 3
  • ​FTC 4
  • ​FTC 5
  • ​FTC 6
  • ​FTC 7
  • ​U Substitution 1
  • U Substitution 2​
  • ​U Substitution 3
  • U Substitution 4
  • ​U Substitution 5
Picture
  • Calculus Directory

Picture
  • Introduction to Integrals
  • U Substitution
Picture
  • U Substitution​​
Picture
Picture
  • LRAM Example
  • ​RRAM Example
  • ​MRAM Example
  • ​Riemann Sum with Rectangles
  • quartic functions
  • ​cubic functions
  • ​quadratic functions
Picture
Picture
​Mr Hickman's Resources
  • optimization 2018-2019

Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you