Unit 5:  The Integral

Unit 5:  The Integral

COVID Era Videos Unit 5

• Rework next year... added some days for when I missed a week

• Day 3:  Approximate Area

  • • Video 1:  Math 251 vs Math 252

    • Video 2:  Finding Area with Three Subdivisions

    • Video 3:  Finding Area with Six Subdivisions

    • Video 4:  Thoughts About Delta x

    • Video 5:  Derivation of the LHS Formula

    • Video 6:  A Quick Lesson in French

    • Video 7:  LHS, RHS and MHS Formulas and Pictures

    • Video 8:  An Example

    • Video 9:  Intro to Last Example that is Test Level

    • Video 10:  Answer to Part a

    • Video 11:  Answer to Part b

    • Video 12:  Answer to Part c

    • Video 13:  Lets Talk Trapezoids

    • VIDEOS 9 through 13 are SUPER important to watch.

    • 5.1:  #9, 11, 14-20 (but do L,R,M AND T for each)

      • • Answer to #14

• Day 4:  The Definition of the Definite Integral (45)

  • • 5.2:  #1-7 odd, 13-16, 29-30, 43-46, 55-58

• Day 5:  An Intro to the Fundamental Theorem of Calculus

  • • 5.3:  #1-41 every other odd (might be smart to do all of the odds for extra practice)

• Day 6:  More on the Fundamental Theorem of Calculus (Mr. B Gone)

  • • 5.3:  #2-40 if you need/want more

• Day 6.5:  Antiderivatives (45) (Mr. B Gone Again)

  • • Video 1:  Recapping FTC part 2 with an Example

    • Video 2:  An Antiderivative, General vs Specific

    • Video 3:  Two More Examples

    • Video 4:  Thoughts on Notation

    • Video 5:  Two Indefinite Integrals

    • Video 6:  A List of Formulas/Magic Tricks

      • • 4.9:  #11-39 odd, 47-51, 58-60 

• Day 7:  Even MORE on the Fundamental Theorem of Calculus

  • • Video 1:  An Accumulated Value Function

    • Video 2:  The Derivative of an Accumulated Value Function

    • Video 3:  Example 2

    • Video 4:  Uh-oh... Might Need Reegan's Help

    • Video 5:  FTC Part 1

    • Video 6:  Example 4 One Way

    • Video 7:  Example 4 Another Way... so Example 5?

    • Video 8:  Example 6

    • Video 9:  Example 7

    • Video 10:  Example 8

      • • 5.4:  #7-10, 21-25

    • Do you think you want to take the AB exam?  If so, buy a practice book and start working.  I can help during lunch.  I recommend:  THIS ONE

• Day 8:  Total Change and Requests

  • • Physics Applications Worksheet

      • • Physics Applications Worksheet Answers

    • 5.5:  #1-12, 19

• Day 9:  Substitution (Juniors Gone) (45)

  • • 5.6:  #7-71 every other odd (do the rest for more practice)

    • Juniors! Watch these:

      • • Video 1:  First Integration by Substitution Example

        • Video 2:  Example 2

        • Video 3:  Examples 3 and 4

        • Video 4:  Examples 5 and 6

        • Video 5:  Examples 7 and 8

• Next year the integration quiz could go here... it doesn't have 5.6 or 5.7.  Just 5.3, 4.9 and 5.5

• Day 10:  More Substitution (And a Fire Drill... awesome.) (60)

  • • Definite Integral Integration by Substitution Worksheet

      • • Definite Integral Integration by Substitution Worksheet Answers

    • 5.6:  79-88

    • 5.7:  1-9, 15, 20, 25, 26, 33-41 odd, 49, 53

• Day 11:  Requests

  • • Get Caught Up

    • Quiz Monday on 4.9, 5.3 and 5.5. 

• Day 12:  Integration Quiz (45)

  • • Go to the end of chapter 5 in your book and do "Preparing for the AP Exam" (pages AP 5-1 to AP 5-4 ): 1, 2, 4-9, 12-13.  FRQ 1, 3

    • Start studying with your prep book (THIS ONE)

• Day 13:  Review 

  • • Go to the end of chapter 5 in your book and do "Preparing for the AP Exam" (pages AP 5-1 to AP 5-4 ): 1, 2, 4-9, 12-13.  FRQ 1, 3

    • Start studying with your prep book (THIS ONE)

• Day 14:  Extra Work Day (Cut in 2025)

  • • Redo EVERYTHING so far

    • Rework the quiz

• Day 15:  Integrals Test

  • • Video 1:  Area Under Curves vs Area Bounded by Curves

    • Video 2:  Example 1 Part 1

    • Video 2:  Example 1 Part 2

    • Video 3:  Example 2

    • Video 4:  General Tips

    • READ and do 6.1:  1-4, 13, 14, 17-18, 27-31 odd, 45