EngageNY
Average Rate of Change
Learners consider the rate of filling a cone in the 23rd installment of this lesson series. They analyze the volume of the cone at various heights and discover the rate of filling is not constant. The lesson ends with a discussion of...
Curated OER
Working with Rates of Change
In 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
Lesson #20 Rates of Change and Velocity
Pupils investigate speed. In this rate of change lesson plan, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the...
Curated OER
The Numbers Behind Hunger: Rate of Change
Explore the concept of world hunger by having students collect and graph 1990 world hunger statistics. They will analyze the data in order to determine how to decrease world hunger rates and try to determine problems and solutions of...
EngageNY
The Concept of a Function
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
EngageNY
Graphs of Simple Nonlinear Functions
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
EngageNY
Constant Rates Revisited
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the rates...
Curated OER
Population Growth Rates
Students determine the average annual rate of change (growth rate) of U.S. national population for each decade of historical census data.
EngageNY
Nonlinear Motion
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson of this 25-part module. Using the Pythagorean Theorem, scholars collect data on the...
Curated OER
Rates Of Change
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
Curated OER
Slope & Rate of Change
This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....
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.
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.
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...
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...
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.
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...
Mathematics Assessment Project
Journey
Drive home math concepts with an engaging task. Learners follow a verbal description to fill in a table and create a distance-time graph representing a car journey. They then answer questions by interpreting the graph.
EngageNY
Mid-Module Assessment Task: Grade 8 Module 6
Make sure pupils have the skills to move on to the second half of the module with a mid-module assessment task. The formative assessment instrument checks student learning before moving on to the rest of the lessons in the unit.
Curated OER
Extra Practice 11: Applications With Percents
For this percent worksheet, students read short stories, determine the information needed, write an algebraic equation and evaluate the problem. Problems include simple interest, sale price, and tax rates. There are nine percent problems...
101 Questions
Shower v. Bath
Which requires more water--a bath or a shower? Given some specific criteria, learners attempt to answer the question. A video shows how long it takes to fill a gallon container using a faucet and a shower head. Using that information and...
Curated OER
Earth's Warming Climate: Are We Responsible
Students examine the atmospheric data for CO2. In this web-based atmospheric instructional activity, student follow instructions to examine and plot on-line scientific data about the CO2 levels in our atmosphere and analyze the changes...
Curated OER
Mini Examination
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient rule, and...