West Contra Costa Unified School District
Average Rate of Change
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential 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...
Houston Area Calculus Teachers
Related Rates
Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they collect,...
Curated OER
Rates of Change
In this rate of change worksheet, students read about how to calculate the rate of change in different processes such as plant growth. They are given example problems and practice calculating rates of change.
Illustrative Mathematics
Video Streaming
Your movie fans will be interested in this resource. They will compare video streaming plans. One plan charges a set rate per month and a reduced viewing fee, and the other has a flat rate per each video viewed. Unfortunately, students...
Curated OER
Worksheet 12: Functions
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
Balanced Assessment
Ford and Ferrari
Which is faster, a Ford or a Ferrari? The short assessment has pupils analyze graphs to determine the rates of change between the two. Individuals interpret the rates of change within the context of speeds of the cars and develop a map...
Curated OER
Mathematical Modeling and constant Rate Equations
In this rates instructional activity, students solve five story (word) problems related to rate and time. In two of the problems students are directed to create a graph of the problem.
Curated OER
Slope as a rate of change
In this Algebra I/Algebra II worksheet, students examine the slope of line as the rate of change between the dependent and independent variables. The one page worksheet contains two multiple choice questions. Answers are included.Â
EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number.Â
Curated OER
Worksheet 14 - Rates
In this rate worksheet, students draw and label given situations, determine the rates and the relationship between them. This two-page worksheet contains 7 multi-step problems.
Curated OER
Related Rates
In this algebra instructional activity, students rewrite word problems using algebraic symbols and solve for the related rates. There are 10 word problems involving derivatives and rates.
Balanced Assessment
Bathtub Graph
Represent the relationship between independent and dependent variables through a modeling situation. The activity expects learners to graph the volume of water in a bathtub during a given scenario. The graph should result in two areas of...
Curated OER
Reaction Kinetics and Rate Laws
In this reaction kinetics activity, students draw a graph of energy vs. reaction progress and determine the factors which change the speed of a reaction. Students learn about rate laws. This activity has 1 graph, 15 fill in the blanks,...
Curated OER
2002 U.S. National Chemistry Olympiad National Exam - Part I
As to be expected from the American Chemical Society Olympiad Examinations Task Force, this 60-question test tops the charts in terms of excellence. It consists entirely of multiple choice questions designed to assess a year's worth of...
Curated OER
Fossils
In this earth science worksheet, learners use the clues given at the bottom of the sheet to solve the crossword puzzle on fossils. They identify specific names of fossils and how to make a mold of one.
Curated OER
Linear Functions of Two Variables
For this linear function worksheet, learners write linear functions, in intercept form, that satisfy given conditions. They find the local linearity for a function. This five-page worksheet contains examples, explanations, and six...
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...
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Curated OER
How Fast Can You Watch?
For this watch worksheet, pupils read story problems and determine the change in the distance with respect to time. They compute the radians per second. This two-page worksheet contains nine multi-step problems.
Curated OER
Time Constant Calculations
In this time constant worksheet, students answer 52 questions about the rate of current changes and voltage changes in capacitors. They analyze circuits and determine the time it takes for capacitors to change voltage and they specify...
Curated OER
Unit V: Worksheet 1 - Constant Force
In a force diagram, a stick figure man in an elevator takes a ride. Physics analysts work out the force exerted on him by the elevator floor. As the acceleration changes, they draw new force diagrams and compute new force values. This...
Curated OER
Kinetics Worksheet
In this kinetics learning exercise, students solve twenty one problems related to reaction rates, half life, reaction orders, catalysts, and activation energy.
Curated OER
Rates and Slopes: An Astronomical Perspective
In this rates and slopes worksheet, students solve 2 problems where they find the rate corresponding to the speed of the galaxies in a Hubble diagram for galaxies and they calculate the rate of the sunspot number change between indicated...