AP Calculus AB

Pacing Guide: Introduction to Antiderivatives and Integration

For several weeks, this class will be studying concepts with respect to introductory integration. Students will follow this pacing of the class with the following dates that each concept will be taught:

-Antiderivatives and Indefinite Integration (Section 4.1 in calculus book): January 6 to January 12 (with MAP testing on January 8)

-Area and Sigma Notation (Section 4.2 in calculus book): January 13 to January 15

-Riemann Sums and Definite Integration (Section 4.3 in calculus book): January 16 to January 23

-First and Second Fundamental Theorems of Calculus (Section 4.4 in calculus book): January 26 to January 29

-Integration by Substitution (Section 4.5 in calculus book): January 30 to February 4

-Numerical Integration (Section 4.6 in calculus book): February 5 to February 6

-Review for Test 1: February 9

-AP Calculus AB Semester 2 Test 1: February 10

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 introducing the concept of definite integration in calculus through exploring sums. All this week's homework will be due on the first school day of the next week. You will be submitting all of this week's homework for grading on Monday, January 26.

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

Monday, January 19:

Monday: MLK Jr. Day... No school

Tuesday, January 20:

The class will focus on sums and how they work towards Riemann Sums and definite integration. 

Homework: 

In your calculus book on page 269, complete #47 - #55 (odd problems only, show all work).

Wednesday, January 21:

The class will focus on Riemann Sums and definite integration. 

Homework: 

In your calculus book on page 278, complete #3 - #8 (all problems, show all work).

Thursday, January 22: 

The class will focus on Riemann Sums and definite integration. 

Homework: 

In your calculus book on page 278, complete #3 - #8 (all problems, show all work).

Friday, January 23:

The class will focus on definite integration. 

Homework: 

1) Complete problems #23 - #29 (all problems) and #33 - #43 (odd problems only) on page 279.

2) Look through pages 272 - 278 in your calculus book.

All homework from this week will be submitted for grading on Monday, January 26.

This week, we will be introducing definite integration in calculus. 

All this week's homework will be due on the first school day of the next week.

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

Monday, January 26:

The class will focus on definite integration. 

Homework: 

Complete problems #5 - #25 (odd problems only), #33, #35, and #47 on page 291.

Tuesday, January 27:

The class will focus on definite integration and the First Fundamental Theorem of Calculus.

Homework: 

1) Complete problems #27 - #31 (odd problems only), #49, and #50 on page 291.

2) Complete the warmup if not completed in class.

Wednesday, January 28: 

The class will focus on definite integration and the Second Fundamental Theorem of Calculus.

Homework: Complete problems #61, #63, #81 - #91 (odd problems only), on pages 292 and 293.

Thursday, January 29:

The class will focus on integration by substitution. 

Homework: 

Complete problems #1 - #23 (odd problems only) on page 304.

Friday, January 30:

The class will focus on integration by substitution. 

Homework: 

Complete problems #2 - #24 (even problems only) on page 304.

All homework from this week will be submitted for grading on Monday, February 2.

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.