EngageNY
The Concept of a Function
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
College Board
Reasoning from Tabular Data
Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...
Curated OER
The Derivative
In this derivative learning exercise, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page learning exercise contains definitions, examples and...
Curated OER
Computing Derivatives
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
Curated OER
The Derivative
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
Curated OER
A.P. Calculus Test Covering Limits, Derivatives, and Integrals
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals. Students should have covered trig limits prior to this worksheet.
Curated OER
Derivative
In this derivative worksheet, students determine the derivative and then find the value at a specified point for a given function. There are 3 questions.
Curated OER
Seven Derivative Problems
In this derivatives worksheet students calculate the derivative for five functions and two application problems. These problems include rational functions and functions with rational exponents.
Curated OER
Similarities and Differences in Properties of Different Families of Functions - An Investigation
Exploring families of functions allows students compare and contrast properties of functions. Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
Curated OER
Worksheet 3 - Functions
In this function worksheet, students solve functions with a continuous derivative. This one-page worksheet contains six multi-step problems.
Curated OER
Matter and Motion 3
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
Curated OER
Mathemafish Population
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Curated OER
Move My Way: A CBR Analysis of Rates of Change
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, young scholars use specific functions on their calculators to create graphs...
Curated OER
Rates Problems
Students engage in a lesson that is about the concept of using rates in the context of finding the solution using different types of problems provided in the lesson plan. The lesson includes a review of the strategy to solve problems...
Curated OER
Rate of Change
In this calculus instructional activity, learners calculate the rate of change in an isosceles trapezoid. They take the derivative to find their answer.
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...
Curated OER
Worksheet 20 Fall 1995
In this math worksheet, students describe a step by step method to solve rate problems. Then they state the time derivatives of different quantities.
Curated OER
Rate Equations, Slope Functions and Concavity
In this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples. ...
Curated OER
Twenty Multiple Choice and Free Response Derivative Problems
In this derivative worksheet, students solve ten multiple choice and ten free response problems. These problems include: derivatives of trig functions, tangent lines, parametric equations, and instantaneous rates of change.
Curated OER
Rating a Quarterback in Football: Statistics, Math, Ratings
Students find out how football statistics are derived, compute quarterback ratings for themselves and interpret quarterback ratings in order to investigate what a player must do to improve ratings.
Curated OER
AP Calculus Practice Exam 2008
In this calculus practice exam activity, learners solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
Curated OER
AP Calculus Practice Exam
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.