Free-response question AB1/BC1 involves a definite integral over a time interval, the average rate over that same time interval, and an interpretation of whether that rate is increasing or decreasing at a particular time.
Resources for this module
Find videos, documents and calculator files (as needed) to aid in your teaching of questions found
on the AP® Calculus exam.
Videos
The videos below are divided into two sections: resource and technology. In the resource video, you’ll find information on scoring, solutions and common errors in the released free-response question. The technology videos show the tech solutions available using your graphing calculator.
Resource Videos
This video presents typical scoring guidelines, solutions and common errors associated with specific parts of the 2022 AP® Calculus exam. The detailed solutions emphasize the AP® Calculus mathematical practices and skills and include a reasonable expectation of how each would be scored.
Technology Videos
Free-response questions with graphically presented functions have appeared regularly on AP® exams (both AB and BC) over the last 20 years. Analyze functions using graphical information on Texas Instruments graphing calculators with examples from the 2022 AP® Calculus AB and BC exams.
Accumulations and Average Value on the TI-Nspire™ CX Graphing Calculator
This video illustrates how you can store results and use them to further analyze a function or other functions on a TI-Nspire™ CX graphing calculator. The toll plaza problem in 2022 AB1/BC1 is used to show the strategy.
Accumulations and Average Value on the TI-84 Plus CE Graphing Calculator
This video illustrates how you can define, analyze and evaluate functions on a TI-84 Plus CE graphing calculator. The toll plaza problem in 2022 AB1/BC1 is used to show the strategy.
Downloads
The “PDF slides” zip file contains slides of all the resource videos referenced above. If any calculator files are needed, they will also be available.
Calculus units
Content in this question aligns well with the AP® Calculus units 4, 5, 6 and 8.