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,...
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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.
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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...
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...
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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.
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Reaction Kinetics and Rate Laws
In this reaction kinetics worksheet, 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 worksheet has 1 graph, 15 fill in the blanks,...
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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.
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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...
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...
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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.
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How Fast Can You Watch?
In 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.
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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...
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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...
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Mathematical Modeling and constant Rate Equations
In this rates learning exercise, 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.
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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.
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Related Rates
In this related rates worksheet, students are given various scenarios and determine the distance and rate of each situation. This two-page worksheet contains eight problems.
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Worksheet 15 - Differentiation
For this differentiation worksheet, students determine the seconds of motion, identify the constant, and speed of movement. This two-page worksheet contains five multi-step problems.
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Equilibrium Practice
In this chemical reactions worksheet, students determine solubility product expressions, equilibrium constants, and equilibrium concentrations. This worksheet has 15 multiple choice questions and 3 problems to solve.
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...
EngageNY
Introduction to Simultaneous Equations
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
Noyce Foundation
Snail Pace
Slow and steady wins the race? In the assessment task, scholars calculate the rates at which different snails travel in order to find the fastest snail. Hopefully, your class will move much more quickly in finishing the task!
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AP Chemistry-Chemical Kinetics
In this kinetics worksheet, students find rate laws of reactions, they determine rate constants, they find rate-determining steps of reactions, they find half-life's of reactions and they determine the overall order of reactions.
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Slope as a rate of change
In this Algebra I/Algebra II activity, students examine the slope of line as the rate of change between the dependent and independent variables. The one page activity contains two multiple choice questions. Answers are included.