AP Calculus AB

Pacing Guide: Application of Differentiation

To complete this semester, this class will be studying concepts with respect to more complex differentiation and derivatives and applying those concepts to scenarios. Students need to follow this pacing of the class with the following dates:

-Extrema (Section 3.1): October 23 – October 24

-Rolle’s Theorem and Mean Value Theorem (Section 3.2): October 27 – October 28

-L’Hopital’s Rule (Section 8.7, page 568): October 29

-Increasing and Decreasing Functions, First Derivative Test (Section 3.3): October 30 - October 31

-Reinforcement of past concepts: November 3

-Second Derivative Test (Section 3.4): November 5 – November 7

-Limits at Infinity (Section 3.5): November 10 - November 12

-Curve Sketching (Section 3.6): November 13 – November 17

-Optimization Problems: November 18 – November 19

-Newton’s Method: November 20 - November 21

-Differentials: December 1 - December 3

-Review for Test: December 4 - December 5

-Test 4: December 8 - December 9

-Informal Introduction to Integration and Final Exam Prep: December 10 - December 17

-Final Exam: December 18

All Assignments can be viewed in the Canvas portion of the class. (Two weeks are displayed due to requests from students.) 

This week, we will be studying more complex derivatives and how they can be utilized in mathematical situations. 

All this week's homework (after the October 22 test) will be due on Monday, November 3.

Remember, this is a senior-level ECA class. No late work will be accepted.

Monday, October 20:

We will be reviewing for the upcoming test. 

Homework:

Complete problems #1, #5, #33 to #53 (odd), #61, #63, #79, #81, #101, #103, #105, #113 on pages 158 - 160 in your ECA calculus book. 

You will not be turning this work in for grading due to your test on Wednesday, October 22. Use the solutions guide to ensure you have answered the problems correctly.

Tuesday, October 21:

We will be reviewing for the upcoming test. 

Homework:

Complete the practice review pages. (The answers are included in the documents in Canvas.)

You will not be turning this work in for grading due to your test on Wednesday, October 22. Use the solutions in each document to ensure you have answered the problems correctly.

Wednesday, October 22:

We will be completing Test 3 during the class.

Thursday, October 23:

We will be starting our study of extrema and differentiation. Complete the following:

1) Complete #3 through #35 (odd only) on page 169. 

Friday, October 24:

We will be continuing our exploring extrema and differentiation.  Complete the following:

1) Complete #37 - #45 and #53 - #59 (all odd problems only for both sets) on page 169. 

This week, we will be studying more complex derivatives and how they can be utilized in mathematical situations. 

All this week's homework will be due on Monday, November 3.

Remember, this is a senior-level ECA class. No late work will be accepted.

Monday, October 27:

We will be starting Rolle's Theorem and Mean Value Theorem. Complete the following:

1) Complete problems #1 - #23 (odd only) on page 176 in your ECA calculus book.

Tuesday, October 28:

We will be continuing our studies of Mean Value Theorem. Complete the following:

1) Complete problems #25 - #45 (odd only), #57 and #59 on page 176 in your ECA calculus book.

Wednesday, October 29:

We will be studying L'Hopital's Rule. 

Homework: Complete #5, #7, #11, #13, #19 and #21 on page 574.

Thursday, October 30:

We will be starting our study of increasing and decreasing functions.

Homework: Complete #1 through #29 (odd only), #31 - #45 (odd only) and #61 - #64 (all problems) on pages 186-187. 

Friday, October 31:

We will be continuing our exploration of increasing and decreasing functions and the First Derivative Test.  

Homework:  Complete #31 - #45 (odd only) and #61 - #64 (all problems) on pages 186-187.

Signup and paying for the AP Calculus AB test in May must be completed by October 31, 2025. To sign up for the class, students must access my College Board personal class/website. The instructional are below. Mr. Glaser's College Board AP classroom is: 2LJ7GW (for 2025-26).

STEP 1: Use the class-specific JOIN CODE to join your AP teacher’s classroom on

the MyAP website (http://myap.collegeboard.org) and set your exam decision to

“YES” no later than October 31, 2025.

STEP 2: Starting August 25, 2024, submit payment of $99 for the AP exam that you

are choosing to take at ECA/CEC’s payment website (http://aptsusa.com/eca-cec).

Payment must be received no later than October 31. 2025 . (College Board charges

cancellation/unused exam fees; if a student cancels after November 14th, or fails to take the

exam in May, $40 will be forfeited to pay this charge.)

BOTH Steps 1 & 2 MUST be completed by October 31, 2025 to complete an AP

exam order activation. Orders activated after this will incur an additional

LATE FEE of $40 per exam. (LATE FEE is required by College Board.)

(Students eligible for free/reduced lunch should contact Counselor Alicia Faulds

(alicia.faulds@aps.edu) to obtain the fee reduction code. A $40 deposit will be collected, but $35 of

that fee will be refunded once the exam is completed, resulting in a final fee of $5 per exam.)

ECA/CEC AP Exam Ordering Deadline:

Exam Activation Deadline:  October 31, 2025

Full Exam Payment Deadline:  October 31, 2025

For more information and details as well as assistance and support visit http://aptsusa.com/eca-cec OR contact Ms. Vierra, ECA/CEC Testing Coordinator, at: jessica.vierra@aps.edu.