Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Derivative: Numerical Approach
The resource investigates the numerical approach of calculating the derivative. Topics examined are the instantaneous rate of change and the difference quotient. Students learn about the calculus concepts through notes and examples.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Ph Et: Function Builder
Play with functions while you ponder Art History. Explore geometric transformations and transform your thinking about linear functions, then have fun figuring out the mystery functions.
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.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Derivadas Laterales
This interactive unit is intended to show by graphing and calculations, the elements involved in the study of the growth of a functions and its relation to the definition of derivative.
Other
Georgia Perimeter College: Linear Equations and Inequalities in One Variable
This resource provides a look at linear equations and inequalities, from how to solve them to how to use them as models for word problems, with lots of examples.
Texas Instruments
Texas Instruments: Constant Rate of Change
This StudyCard stack is a teaching activity that demonstrates that the constant rate of change idea is present in many situations outside the mathematics classroom.
Texas Instruments
Texas Instruments: Linear Functions: Slope as Rate of Change
Students learn to associate the slope of a straight line with a constant rate of change. They also learn to calculate the rate of change from data points on a line, using the correct units. Students also learn to read from a linear...
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.
Mangahigh
Mangahigh: Algebra: Reflect Graphs
Mangahigh is a site that students can learn and practice math skills that are correlated to common core math standards. On this site students practice reflecting graphs of various functions using function notation.
CK-12 Foundation
Ck 12: Analysis: Instantaneous Rates of Change
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between average rate of change and instantaneous rate of change. Students examine guided notes, review guided practice,...
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.
University of Texas at Austin
Mathematics Teks Toolkit: What's Your Rate of Change?
In this lesson, students use an electronic data collector to write the equation of a line.
Cool Math
Coolmath: Pre Calculus Shifting, Reflecting, Etc.
Description and examples of shifting and reflecting various graphs.
University of California
Average Value of a Function
This site contains a PowerPoint presentation on the average value of a function.
Cool Math
Coolmath: Advanced Graphing Piecewise Functions
This algebra lesson explains how to graph piecewise defined functions.
Illustrative Mathematics
Illustrative Mathematics: F Le Identifying Functions
In this task, young scholars are shown a table with linear, quadratic, and exponential functions at various values of x and are asked to match the function type to each data set and explain their reasoning. Aligns with F-LE.A.1.b and...
Illustrative Mathematics
Illustrative Mathematics: F Le Linear Functions
In this problem, students are presented with the equations of two linear functions and their intersecting graphs. They are asked to label the graphs and compute values for several points on the graphs. Aligns with F-LE.A.1.b.
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...
University of California
Ucla Mathematics Department:average Value of a Function
UCLA Mathematics Department provides specific example of the average value of a function.
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.