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,...
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
NOAA
Communicate!: Create a Unique Message About Climate Change
Scholars use their communication skills to express their take on climate change in the ninth installment of the 10-part Discover Your Changing World series. They create ways to deliver their messages on a specific aspect of climate by...
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
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...
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...
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...
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.
NASA
Resolving 2-Plane Traffic Conflicts by Changing Speed—Problem Set E
What do you do to change arrival times of airplanes when a different route is not available? The fifth interactive in a series of six presents problems where pupils must find solutions to conflicts of safety rules. They must decide how...
NASA
Resolving 2-Plane Traffic Conflicts by Changing Route—Problem Set B
Do pilots create appropriate spacing between aircraft by traveling a longer or shorter path? An interactive presents two airplanes that violate safety protocols. Pupils must determine how to change the path of one plane to create the...
NASA
Resolving 3-Plane Traffic Conflicts by Changing Speed—Problem Set F
Get three planes to line up safely. Individuals work through a set of problems to eliminate spacing conflicts between three airplanes in flight. The pupils use their knowledge to change the airplanes' speed or route to meet a...
NASA
Resolving 3-Plane Traffic Conflicts by Changing Route—Problem Set C
Keep the planes from crashing. Pupils work with three airplanes and change their flight paths to keep them at a safe distance from each other. Individuals work through three problems in the third interactive in a set of six with...
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.
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
Rate of Change
High schoolers observe and calculate slopes. In this algebra lesson, students graph equations and determine the pace at which the slope is changing. They use the navigator to see the change as they graph the lines around.
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.
Curated OER
What Influences Reaction Rate?
Students study reaction rates, what determines how fast a reaction happens and how the chemical changes occur. In this reactions lesson students complete a lab where they use Alka-Seltzer to observe reaction rate and create a graph with...
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...
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots 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...
Illustrative Mathematics
Velocity vs. Distance
At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...
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.