Corbett Maths
Instantaneous Rates of Change
Here's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...
Flipped Math
Calculus AB/BC - Average and Instantaneous Rate of Change
Ramp up the average rate of change—instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...
Corbett Maths
Average Rate of Change
Simply find the slope to find the average rate of change. A short video provides the definition of the average rate of change. Using the definition, pupils calculate the average rate of change to solve problems that cover finding average...
CK-12 Foundation
Average and Instantaneous Rates of Change
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
Natinal Math + Science Initative
Slope Investigation
Context is the key to understanding slope. A real-world application of slope uses a weight loss scenario with a constant rate of change to introduce the concept of slope of a line, before it makes a connection to the ordered pairs...
Curated OER
Slope of a Line
In this slope of a line worksheet, students read about line graphs and plotting the slope of a line. They read about the rate of change which is represented by the slope. Students practice finding the slope of lines.
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....
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...
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
Piecewise Linear Functions: Extending Stories to Graphs
Using this resource, scholars develop graphs that model situations by showing change over time. They answer 15 questions based on information from charts that show growth in weight. They extend the concepts to an assessment section of...
CK-12 Foundation
Comparison of Unit Rates: Drive Away
Five questions make up an interactive that challenges mathematicians to compare unit rates. Word problems question scholars about two friends going on a road trip. Scholars manipulate two cars on a coordinate plane to help solve word...
Curated OER
Slope
Studying slope? This one page worksheet has it covered! Learners use graphs and coordinates to find slope and also use slope to find a missing coordinate of a point on a line. The lesson also includes a real-world example that asks...
Flipped Math
Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation
Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...
Concord Consortium
Be Well
How much do you spend on healthcare each year? Data shows the expenditures in the US rise significantly each year. Young scholars use the data to calculate a rate of change over a 30-year period and look for—as well as provide— possible...
Flipped Math
Calculus AB/BC - Using the Mean Value Theorem
At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...
Curated OER
Mathematical Modeling and constant Rate Equations
In this rates worksheet, 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.
101 Questions
Snow Day
Who doesn't like a snow day? Learners watch a snow accumulation over a span of 10 hours. They use that information to make a prediction of the total snow that fell during the 23-hour snowfall. Will it be enough to cancel school?
Curated OER
Analytic Geometry
In this analytic geometry worksheet, 9th graders graph and solve 13 different types of problems that include determining whether equations are linear to matching given equations to their corresponding equation in the second column....
College Board
2006 AP® Calculus AB Free-Response Questions
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
Curated OER
Review Linear Equations
Explore algebra I/algebra II with this series of worksheets. Pupils write linear equations in slope-intercept and standard form, graph linear equations, and apply linear equations to real world applications. The six-page worksheet...
Curated OER
Drug Sales Soar - Rate of Change
In this prescription drug worksheet, students answer short answer questions and create graphs on the sales of prescription drugs over a five year span. Students complete six questions.
Curated OER
Rates and Slopes: An Astronomical Perspective
In this rates and slopes learning exercise, 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...
Curated OER
Mini Examination #2 - Limits and Derivatives
In this limits and derivatives activity, students solve 18 multiple choice and short answer questions. Students find the limits and derivatives of functions.
Curated OER
Slope
In this slope instructional activity, students determine slope for 6 pairs of points. Students then complete 6 problems to determine a missing coordinate given the slope.