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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.
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 2 [Pdf]
Students 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.
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...
Illustrative Mathematics
Illustrative Mathematics: F If.6 Mathemafish Population
For this task, students 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...
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.
Chem4kids
Chem4 Kids: Reaction Rates
This Chem4Kids.com site explores the rate of reactions. Content focuses on forces that change the speed of reactions, and measuring rates.
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.
Texas Instruments
Texas Instruments: How Fast for Whiplash? Going With the Flow
In this activity, students recognize direct variation as a rate of change and apply it in problem situations. They also use average rates of change to make decisions in problem situations.
PBS
Pbs Teachers: Earth Day: What We Do Adds Up
Explore averages and rates of change and apply to calculate the cumulative effect of garbage thrown out by people over time. Use population data from the U.S. Bureau of Census to estimate how much garbage your county threw away during...
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...
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.
Science Buddies
Science Buddies: Heart Health: How Does Heart Rate Change With Exercise?
Your heart starts beating before you are born and keeps right on going through your whole life. Over an average lifetime, the human heart beats more than 2.5 billion times. Keeping your heart healthy means eating right, not smoking, and...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Introduction to the Derivative
The topic summary outlines derivatives. Some topics reviewed are average rate of change, derivative rules, and marginal analysis. The resource consists of definitions, notes, and examples.
US Department of Labor
Bureau of Labor Statistics: u.s. Economy at a Glance
The seven major economic indicators for the U.S. economy are listed here in an easy to read chart. The seven indicators are unemployment rate, change in hourly employment, average hourly earnings, consumer price index, producer price...
Hofstra University
Hofstra University: An Introduction to the Derivative
This lesson from the Hofstra University discusses the derivative. The lesson begins with the average rate of change of a function and discusses how this is related to the derivative of a function at a point. The site gives visual aids...
National Council of Teachers of Mathematics
Nctm: Figure This: Math Challenges for Families
Students, teachers, and parents alike will enjoy this challenging math site. It contains a clever brain teaser section plus creative problems related to algebra, geometry, measurement, numbers, statistics, and probability. A Spanish...
University Corporation for Atmospheric Research
Ucar: Warming of the Polar Regions
While global average temperature has risen above the 1950-1980 average, our planet's polar regions are experiencing warming at a faster rate than other places.
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."
Other
Modern World History: Pre Industrial Society
In this textbook unit, students learn about what society and the standard of living were like prior to the Industrial Revolution. The average peasant grew their food and kept farm animals. Change took place much more slowly, but the rate...
Sophia Learning
Sophia: Slope Intercept Form and Direct Variations
This lesson relates slope-intercept form to slope and direct variations.
Chem4kids
Chem4 Kids: Matter: Evaporation
An explanation about the process of evaporation and the conditions needed to complete this process.
CK-12 Foundation
Ck 12: Analysis: Basic Exponential Functions
[Free Registration/Login may be required to access all resource tools.] Evaluating and solving basic exponential functions, introduction to ''e''.
CK-12 Foundation
Ck 12: Analysis: Intermediate Value Theorem
[Free Registration/Login may be required to access all resource tools.] Analytical solutions of polynomial and rational equations. Intermediate Value theorem and Bounds on Zeroes. Students examine guided notes, review guided practice,...
Other
Stat Soft: Statistics Glossary
Dozens of statistical terms are defined and illustrated in this glossary.