Willow Tree
Line Graphs
Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.
101 Questions
Breaking a Record
Can we break the record? Groups use provided data detailing the number of visitors to a blog to determine if the number of blog views breaks the previous record. They must take rates into consideration to make their estimates—a great...
Curated OER
Mini Examination #2 - Limits and Derivatives
In this limits and derivatives worksheet, students solve 18 multiple choice and short answer questions. Students find the limits and derivatives of functions.
Curated OER
AP Calculus
In this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.
Chicago Botanic Garden
Unit 4 Pre-Assessment
Pre-assessments are great to help teachers determine what information their classes lack, what misconceptions they have, and how in depth to teach specific concepts. The first in a five-part series is a pre-assessment of middle...
Curated OER
Sandia Aerial Tram
Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.
Curated OER
Supplementary Related Rates Problems
In this rates worksheet, students read story problems, determine the necessary information, and set up equations to determine the velocity and rates. This two-page worksheet contains two multi-step story problems.
National Wildlife Federation
Stifling, Oppressive, Sweltering, Oh My!
Looking for a hot date? Pick any day in August, statistically the hottest month in the United States. The 15th lesson in the series of 21 instructs pupils to investigate the August 2007 heat wave through NASA data, daily temperature...
Curated OER
Time Changes Everything
Students analyze census data from 1915, 1967 and 2006. They read an article about how the world's population is growing at an alarming rate. They use primary source documents to create a timeline on the information they gathered. They...
National Institute of Open Schooling
Chemical Kinetics
Not all chemical reactions happen at the same rate because some, like explosions, occur quickly and some, like rusting, occur over time. Here, learners explore chemical reactions and their rates in the 16th lesson of 36. Through readings...
American Chemical Society
The Energy of Evaporation
Do all liquids evaporate at the same rate? Young scientists observe the evaporation rate of three different liquids. They measure the time, the temperature, and the change in energy. After comparing the chemical formulas, scholars...
The New York Times
Understanding the Mathematics of the Fiscal Cliff
What exactly is the fiscal cliff? What are the effects of changing income tax rates and payroll tax rates? Your learners will begin by reading news articles and examining graphs illustrating the "Bush tax cuts" of 2001 and 2003. They...
Curated OER
Average and Instantaneous Velocity
In this velocity activity, students determine the average velocity for a trip, graph the distance traveled as a function of time, estimate the slope and identify the instantaneous rate of change of the function. This two-page activity...
Bowland
110 Years On
How many great, great grandchildren can one have? Scholars estimate the number of descendants a woman can have after 110 years. They use information about the average number of children per family and life expectancy to make this estimate.
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
Space Awareness
Climate Zones
The climate at the equator is hotter than the climate at the poles, but why? The lesson goes in depth, explaining how the angles of illumination relate to the heating rate at different latitudes and seasons. Scholars use a strong lamp,...
Global Oneness Project
Witnessing Icebergs
Camille Seaman's photoessay, "Witnessing Icebergs" documents just a tip of the problem of climate change through images of icebergs in both the Arctic and Antarctic polar regions. After viewing the haunting images, viewers respond to a...
Mascil Project
Drug Concentration
Different medications leave the body at different rates, and how people take them determines their effectiveness. Learners investigate this effectiveness by charting the concentration of a given medication in the body. Using exponential...
Discovery Education
Cool It!
Adjust the melting time of ice without varying the temperature! Learners experiment with different materials to decide how the materials affect the rate an ice cube melts. They then connect their findings to the conductivity of each...
Texas State Energy Conservation Office
Investigation: Automotive Emissions and the Greenhouse Effect
It is recommended that you conduct this fabulous experiment as a whole-class demonstration. Collect air samples from the environment, human exhalation, and car exhaust, then compare them for carbon dioxide content using bromthymol blue...
Curated OER
A Simple Model for Atmospheric Carbon Dioxide
In this atmospheric carbon dioxide worksheet, students use two diagrams to solve 6 problems about atmospheric carbon dioxide. One diagram shows the Keeling Curve and the other shows sources of carbon and the natural and anthropogenic...
Curated OER
"Go-Car" Lab
Students construct a car based on directions given. In this physics lesson, students calculate average speed using distance and time information. They collect data and create a graph of distance vs. time.
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data, write...