Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Average Rate of Change 3 [Pdf]

For Students 9th - 10th Standards
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.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Average Rate of Change 2 [Pdf]

For Students 9th - 10th Standards
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.
Study Guide
Department of Defense

Do Dea: Average Rates of Change

For Students 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F If.6 Mathemafish Population

For Teachers 9th - 10th Standards
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...
Activity
Texas Instruments

Texas Instruments: Finding Linear Models

For Teachers 9th - 10th Standards
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.
Handout
Chem4kids

Chem4 Kids: Reaction Rates

For Students 3rd - 8th
This Chem4Kids.com site explores the rate of reactions. Content focuses on forces that change the speed of reactions, and measuring rates.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Tasa De Variacion De Una Funcion

For Students 9th - 10th Standards
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.
Activity
Texas Instruments

Texas Instruments: How Fast for Whiplash? Going With the Flow

For Teachers 9th - 10th Standards
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.
Activity
PBS

Pbs Teachers: Earth Day: What We Do Adds Up

For Students 9th - 10th
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf 1,000 Is Half of 2,000

For Teachers 9th - 10th Standards
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...
Unit Plan
CK-12 Foundation

Ck 12: Physical Science: Speed

For Students 7th - 9th
[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.
Activity
Science Buddies

Science Buddies: Heart Health: How Does Heart Rate Change With Exercise?

For Students 6th - 8th
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...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Introduction to the Derivative

For Students 9th - 10th
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.
Handout
US Department of Labor

Bureau of Labor Statistics: u.s. Economy at a Glance

For Students 9th - 10th
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...
Activity
Hofstra University

Hofstra University: An Introduction to the Derivative

For Students 9th - 10th
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...
Activity
National Council of Teachers of Mathematics

Nctm: Figure This: Math Challenges for Families

For Students 2nd - 8th
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...
Article
University Corporation for Atmospheric Research

Ucar: Warming of the Polar Regions

For Students 9th - 10th
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.
Unit Plan
Sophia Learning

Sophia: Instantaneous Velocity: Lesson 1

For Students 9th - 10th
This lesson introduces the concept of instantaneous velocity without the use of calculus. It is 1 of 2 in the series titled "Instantaneous Velocity."
eBook
Other

Modern World History: Pre Industrial Society

For Students 9th - 10th
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...
PPT
Sophia Learning

Sophia: Slope Intercept Form and Direct Variations

For Students 9th - 10th Standards
This lesson relates slope-intercept form to slope and direct variations.
Handout
Chem4kids

Chem4 Kids: Matter: Evaporation

For Students 3rd - 8th
An explanation about the process of evaporation and the conditions needed to complete this process.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Basic Exponential Functions

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Evaluating and solving basic exponential functions, introduction to ''e''.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Intermediate Value Theorem

For Students 11th - 12th
[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,...
Handout
Other

Stat Soft: Statistics Glossary

For Students 9th - 10th
Dozens of statistical terms are defined and illustrated in this glossary.