Curated OER
Working with Rates of Change
For this calculus worksheet, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.
Curated OER
Functions Quiz
In this college level algebra worksheet, pupils determine the domain and range of a function, determine the average rate of change given an interval and the function, and graph a polynomial function. The two-page worksheet contains four...
Texas Instruments
Texas Instruments: Finding Linear Models
Students graph a scatter plot, find average rate of change, develop a linear model, find a linear regression and a median/median line for a set of data graphed in a scatter plot and predict profit.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Tasa De Variacion De Una Funcion
In Spanish. In this interactive activity you will learn and understand the concept of average and instantaneous speed and calculate the average and instantaneous variation of some functions.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Average Rate of Change
The resource investigates average rate of change. Topics examined are the difference quotient and how to compute the average rate of change. Students learn about the calculus concepts through notes and examples.
CK-12 Foundation
Ck 12: Physical Science: Speed
[Free Registration/Login may be required to access all resource tools.] Definition of speed and its SI unit, instantaneous speed and how to calculate average speed and distance or time from speed.
Analyze Math
Analyze Math: Solve Rate of Change Problems in Calculus
The resource consists of examples with detailed solutions that examine rate of change problems. Practice exercises are included.
Illustrative Mathematics
Illustrative Mathematics: F if Temperature Change
In this task, students examine the average rate of change of the temperature in Tucson, Arizona hours after midnight. Aligns with F-IF.B.6.
Illustrative Mathematics
Illustrative Mathematics: F If.6 Mathemafish Population
For this task, learners are presented with a table and a graph and are asked to summarize the data and report the findings of a project by the Environmental Protection Agency to contain the effects of an invasive species on a fish...
Illustrative Mathematics
Illustrative Mathematics: F Bf 1,000 Is Half of 2,000
This task is about an online mathematics organization that is trying, over a four-year period, to generate 2,000 math problems that cover all grades. This real-life modeling task could serve as a summative exercise that draws on many...
Khan Academy
Khan Academy: Average Rate of Change: Graphs and Tables
Find a function's average rate of change over a specific interval, given the function's graph or a table of values. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.
Khan Academy
Khan Academy: Average Rate of Change Word Problems
Find and represent the average rate of change of a real-world relationship. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.
Khan Academy
Khan Academy: Average Rate of Change
Find the average rate of change of a function over a given interval. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Analysis: Average Rate of Change
[Free Registration/Login may be required to access all resource tools.] Defining average rate of change and evaluating simple examples
![Houghton Mifflin: Math Graphs: Average Rate of Change 1 [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Houghton Mifflin: Math Graphs: Average Rate of Change 1 [Pdf] Unknown Type")
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 1 [Pdf]
Students use the graph of "f" to determine the average rate of change and sketch a tangent line. The problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 3 [Pdf]
The handout explores the relationship between the average rate of change and the slope of the tangent line. The exercise is available in PDF format.
Windstream
Ojk's Precalculus Study Page: Introduction: Average Rate of Change
A precalculus tutorial that explains the average rate of change with formulas and examples. Related links to other concepts.
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 2 [Pdf]
Learners use a given graph to investigate the average rate of change and slope of the tangent line. The practice problem is available in PDF format.
Sophia Learning
Sophia: Instantaneous Velocity: Lesson 1
This lesson introduces the concept of instantaneous velocity without the use of calculus. It is 1 of 2 in the series titled "Instantaneous Velocity."
Sophia Learning
Sophia: Slope Intercept Form and Direct Variations
This lesson relates slope-intercept form to slope and direct variations.
Department of Defense
Do Dea: Average Rates of Change
This document looks at look at the difference between averages and instantaneous rates of change. Formulas are provided for average speed, instantaneous speed, the slope of a secant line, the slope of a tangent, and the slope of a curve...