Unit 9: Limits and Derivatives

Unit 9: Limits and Derivatives

• MonDay 19: RPF Test

  • • Read Chapter 2 Section 1 and do #2, 5

• Day 20: Finding Limits Intuitively, Algebraically and A Game that is NOT Fun

  • • 2.2: #3-6, 9, 10, 13, 15, 16, 22

    • 2020 BC Calculus Videos

      • • Video 1: Evaluating a Limit at Level 1

        • Video 2: Hazards of Level 1

        • Video 3: One More Level 1 Example (why we need level 1)

        • Video 4: Definition of a Limit According to the Book

        • Video 5: Intro Evaluating a Limit at Level 2

        • Video 6: Evaluating a Limit at Level 3: The REAL Definition of a Limit as x Approaches a

        • Video 7: Do You Remember Absolute Value?

        • Video 8: The Rules to the Game That is NOT Fun

        • Video 9: The Game Example 1

        • Video 10: The Game Example 2

        • Video 11: The Game Example 3 Setup

        • Video 12: The Game Example 3 Answer

• Day 21: More Evaluating Limits Algebraically

  • • THE GAME Worksheet

      • • THE GAME Worksheet Answers

    • Find a friend that you don't mind losing forever (Brayden for example) and play the game an infinite number of times.

    • 2.3: 2, 5, 8, 9-19, 20-28 even, 29-32, 34, 43

      • • 2019 Video Requests:

          • • 11 17 19

            • 28 34 43

    • 2020 BC Calculus Videos

      • • Video 2: More Practice with The Game (won't be fun): Example 1 Intro and Level 1

        • Video 3: Example 1 Level 2

        • Video 4: Example 1 Level 3

        • Video 5: Example 2 Intro, Level 1 and Level 2

        • Video 6: Example 2 Level 3

        • Video 7: How Dumb are Limit Laws?

        • Video 8: Evaluating Limits at Level 2 Example 1

        • Video 9: Evaluating Limits at Level 2 Example 2

        • Video 10: Evaluating Limits at Level 2 Example 3

        • Video 11: Evaluating Limits at Level 2 Example 4

• FriDay 22: Buffer Day

  • • Evaluating Limits Worksheet

    • Evaluating Limits Worksheet Answers

    • THE GAME Worksheet

      • • THE GAME Worksheet Answers

    • Find a friend that you don't mind losing forever (Brayden for example) and play the game an infinite number of times.

• MonDay 23: RPF Revisited

  • • Redo the first example in class

    • Make up some other problems like the first example

    • 2.5: 3-11 odd, 12, 13-31 odd, 32, 35, 41, 46

      • • 15 17 23 27

    • 2019 Videos

      • • Graphing a RPF Function Part 1

        • Graphing a RPF Function Part 2

        • Graphing a RPF Function Part 3

        • Graphing a RPF Function Part 4

• Day 24: An Intro to The Definition of a Derivative

  • • 2.6: 3, 5, 7-10, 12-16, 22, 26

      • • 8 10 3

        • 22 26

    • 2019 Videos

      • • Essential Question of Differential Calculus

        • Derivation of the Definition of a Derivative

        • Official 2.6 Notes

        • Example 1

        • Example 2

        • Example 3

• Day 25: More on the Derivative

  • • 2.7: 3-5, 10, 12, 13-19 odd, 27, 31, 35, 36

      • • 3 14 15

        • 16 17 19

        • 27 36

    • Practice finding equations of tangents to curves.

    • 2019 Videos

      • • What's New in 2.7 Part 1 (video cut out)

        • The rest of What's New in 2.7

        • 2.6 #11 with a twist

• FriDay 26: Graphs of Derivatives

  • • Do an Infinite number of problems like we did in class today where you draw on your calculator with a magic pen

    • Finish this Handout

      • • Answers to the Above Handout

    • 2.8: 1-11 odd, 17-25 odd, 30ab, 32, 33, 36, 41, 49

    • See Attached Problem... I drew the graph first, then came up with the question. Your graph should look similar to mine.

    • Repeat what I did above for any friends you may still have left. Do an infinite number of these

    • 2019 Videos

      • • What's New

        • What we are Skipping (there is a lot)

        • An Example

        • A Neat Calculator Activity

• TuesDay 27: Requests

  • • Get caught up

• Day 28: Limits Test