Curated OER
Reading Graphs
Learners practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph
Curated OER
Reading Graphs
Students plot functions on the Cartesian coordinate plane. They explore lines and parabolas. Students analyze graphs and answer questions about the information presented on the graph using an online program.
Curated OER
Production Possibilities & Opportunity Cost
In this economics activity, 12th graders respond to 15 multiple choice questions about production possiblities and opportunity costs.
Curated OER
Water-Is There Going to be Enough?
Young scholars research the availability, usage and demand for water in the local area historically and use projections of the availability, usage and demand for water up to the year 2050. They gather data and present the information in...
Curated OER
Inverse Variation
In this algebra activity, students find the inverse of an equations. They graph their solutions and analyze it. There are 8 questions.
Curated OER
Pike's Peak Problem
In this algebra activity, students answer a word problem about a distance-rate multiplied by times problem. They discuss slope and altitude. There is an answer key with this problem.
Curated OER
Graphing Review
Students review the principles of graphing linear functions. They discuss plotting points on a coordinate plane, solving using a table, and then graphing. Students solve problems and determine the slope of the line, y-intercept and if...
Curated OER
Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson plan is on the interplay between the geometric and analytic information.
Curated OER
Reading a Graph: Azimuth Range vs. Day in Barrow Alaska
Pupils practice reading a graph while doing story problems. They determine the x and y intercepts and calculate the slope. They also practice writing linear equations.
Curated OER
High School Mathematics Problems from Alaska: Reading a Graph: Azimuth Range vs. Day in Barrow, Alaska
Students focus on reading and interpreting information from a graph.
Curated OER
AP Calculus Practice Exam
In this calculus worksheet, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits. The four page worksheet contains twenty-eight multiple choice questions. Answers are...
Curated OER
Exploring the Landscape
Learners determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.
Curated OER
Twenty-Eight Multiple Choice No Calculator AP Calculus AB Problems
In this AP Calculus AB practice exam activity, students solve twenty-eight various multiple choice calculus problems without using a calculator.
Curated OER
The Right Angle
In this algebra worksheet, students rewrite word problems using an algebraic equation to find the answer. There are 14 questions with an answer key.
Sophia Learning
Sophia: Find Slope and Rate of Change
This learning tutorial demonstrates how to find the slope of a line and the rate of change for a table. The lesson includes several PowerPoint presentations about slope and even provides practice problems for students to test their...
Texas Instruments
Texas Instruments: Linear Functions: Slope as Rate of Change
Students learn to associate the slope of a straight line with a constant rate of change. They also learn to calculate the rate of change from data points on a line, using the correct units. Students also learn to read from a linear...
Paul Dawkins
Paul's Online Notes: Tangent Lines and Rates of Change: Practice Problems
This section introduces two problems: rate of change of a function and tangent lines to functions. Both of these problems will be used to introduce the concept of limits.
CK-12 Foundation
Ck 12: Analysis: Average Rate of Change
[Free Registration/Login may be required to access all resource tools.] Defining average rate of change and evaluating simple examples
CK-12 Foundation
Ck 12: Algebra: Rates of Change
[Free Registration/Login may be required to access all resource tools.] Learn how to solve problems involving rates of change.
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 2 [Pdf]
Students use a given graph to investigate the average rate of change and slope of the tangent line. The practice problem is available in PDF format.
Texas Instruments
Texas Instruments: Rate of Change
This activity is designed for students who have already learned the definition of the derivative and that it can be used to determine the slope of a curve. (Continued. See "before the activity.")
Rice University
Rice University: Cynthia Lanius: Stressed Out: Slope as Rate of Change
This site may be used as a lesson for understanding graphs of functions and goes into slopes of a curve. The site helps students notice when a slope of a curve is increasing and decreasing and general interpretations of graphs.
Math Graphs
Houghton Mifflin: Math Graphs: Average Rate of Change 3 [Pdf]
The handout explores the relationship between the average rate of change and the slope of the tangent line. The exercise is available in PDF format.