https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-1/v/secant-lines-and-average-rate-of-change 2026-06-25T15:40:55.094699315Z Connecting secant lines and average rate of change Learn how to calculate the average rate of change for a function and its connection to the slope of a secant line. Grasp the concept of instantaneous rate of change and its significance in calculus, leading to the idea of the derivative. video https://cdn.kastatic.org/ka_thumbnails_cache/eb69f6b7-64ea-4531-8bcf-6c01ad7a99f0_1280_720_base.png Connecting secant lines and average rate of change Learn how to calculate the average rate of change for a function and its connection to the slope of a secant line. Grasp the concept of instantaneous rate of change and its significance in calculus, leading to the idea of the derivative. https://cdn.kastatic.org/ka-youtube-converted/0z_MDIWMBwU.mp4/0z_MDIWMBwU.mp4 317 Rates of change in linear and quadratic functions https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-1/e/secants-and-average-rate-of-change 2021-06-30T11:39:22Z Secant lines & average rate of change Find the average rate of change of a function, or the slope of a secant line to the graph of the function. Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change-word-problems/v/average-rate-of-change-from-table-word-problem 2021-05-05T14:53:17Z Average rate of change word problem: table Average rate of change tells us how much the function changed per a single time unit, over a specific interval. It has many real-world applications. In this video, we compare the average rate of change of temperature over different time periods. video https://cdn.kastatic.org/googleusercontent/HmOuqEx9pdo1lzF1hHOwORGVoqCFs2Ka54ZIulm5Zx2oCjvkPEmE4bM23rbwwepCVgHLVoQwZNCzm5iW2YNOqTDq Average rate of change word problem: table Average rate of change tells us how much the function changed per a single time unit, over a specific interval. It has many real-world applications. In this video, we compare the average rate of change of temperature over different time periods. https://cdn.kastatic.org/ka-youtube-converted/FBWGRbHf7rU.mp4/FBWGRbHf7rU.mp4 220 Rates of change in linear and quadratic functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change-word-problems/v/average-rate-of-change-from-graph-word-problem 2021-05-05T14:53:24Z Average rate of change word problem: graph Average rate of change tells us how much the function changed per a single time unit, over a specific interval. It has many real-world applications. In this video, we find the average rate of descent of a skydiver over a specific time interval. video https://cdn.kastatic.org/googleusercontent/qOpBWaHrKpy795aWFUnc8T-RdIg-pf4lOw1c06i2LhlfB-mGpGT-8tJaxzwtScl3zy6yD4X-lQtWBnNry9zMtAc Average rate of change word problem: graph Average rate of change tells us how much the function changed per a single time unit, over a specific interval. It has many real-world applications. In this video, we find the average rate of descent of a skydiver over a specific time interval. https://cdn.kastatic.org/ka-youtube-converted/-6EqUILZ1yw.mp4/-6EqUILZ1yw.mp4 418 Rates of change in linear and quadratic functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change-word-problems/e/average-rate-of-change-word-problems 2026-06-16T15:55:43.561813682Z Average rate of change word problems Find and represent the average rate of change of a real-world relationship. Tomer Gal exercise https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:polynomial-and-rational-functions/xe322600f784e4778:rates-of-change-in-linear-and-quadratic-functions/v/connecting-average-rates-of-change-with-the-concavity-of-a-graph 2026-06-16T15:55:43.561813682Z Connecting average rates of change with the concavity of a graph Learn how to use a table of values of a graph to identify the concavity over a certain interval. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/72f85563-6ed5-4df7-80cd-50a67f8c6610_1280_720_base.png Connecting average rates of change with the concavity of a graph Learn how to use a table of values of a graph to identify the concavity over a certain interval. https://cdn.kastatic.org/ka-youtube-converted/cGRJ55Q-9ks.mp4/cGRJ55Q-9ks.mp4 218 Rates of change in linear and quadratic functions https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:polynomial-and-rational-functions/xe322600f784e4778:rates-of-change-in-linear-and-quadratic-functions/v/describing-the-average-rate-of-change-using-the-concavity-of-the-graph 2026-06-16T15:55:43.561813682Z Describing the average rate of change using the concavity of the graph Learn how to describe the average rate of change on a graph by using its concavity. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/530b6453-62ef-4376-8ce1-839d210c6899_1280_720_base.png Describing the average rate of change using the concavity of the graph Learn how to describe the average rate of change on a graph by using its concavity. https://cdn.kastatic.org/ka-youtube-converted/kQf0gmw-6Po.mp4/kQf0gmw-6Po.mp4 120 Rates of change in linear and quadratic functions https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:polynomial-and-rational-functions/xe322600f784e4778:rates-of-change-in-linear-and-quadratic-functions/e/average-rate-of-change-over-equal-length-intervals 2026-06-26T19:21:03.457278957Z Average rate of change over consecutive equal-length input-value intervals Students will use their understanding of the average rate of change to identify different function types and how that knowledge can connect to concavity. Courtney Chernin-Hitchings exercise