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.
Flipped Math
Calculus AB/BC - Interpreting the Derivative in Context
Put math in a real-life context to increase connections to the concept. Pupils view a short video that first reviews the connection between derivatives and rates of change. They learn how to interpret the derivative in contextual...
CK-12 Foundation
Related Rates of Car Speeds
Speed up your pupils' understanding of derivatives. Two cars travel in perpendicular distances to each other. With the aid of the interactive, learners visualize the situation. Pupils use the derivative to calculate the instantaneous...
Flipped Math
Calculus AB/BC - Solving Related Rates Problems
A solution to a lack of resources on related rates awaits. Viewers of an educational video learn how to solve related rates problems. They build on their prior experience of related rates to write equations for contextual situations,...
Flipped Math
Calculus AB/BC - Introduction to Related Rates
Here's a video for those who can relate to being confused about related rates. The fourth of eight lessons in Unit 4 - Contextual Applications looks at related rates. Individuals learn to write equations that show a relationship between...
EngageNY
Comparison Shopping—Unit Price and Related Measurement Conversions II
Which rate is greater and by how much? Pupils continue to compare rates to solve problems in the 20th portion of a 29-part series. Rates are presented in a variety of representations either using the same representation or different...
Curated OER
Mini Examination #2 - Limits and Derivatives
In this limits and derivatives worksheet, students solve 18 multiple choice and short answer questions. Students find the limits and derivatives of functions.
Curated OER
Derivatives
In this calculus worksheet, students take the derivative of functions and identify the instantaneous rata of change. There are 20 questions.
Curated OER
Working with Rates of Change
In this calculus worksheet, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.
Curated OER
Twelve Related Rates Word Problems
In this word problems worksheet, students solve twelve related rates word problems. Knowledge of geometry is necessary to complete these problems.
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
West Contra Costa Unified School District
Interest and the Number e
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would happen as...
Curated OER
Related Rates Problems: An Application of Implicit Differentiation and the Chain Rule
In this related rates problem instructional activity, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page...
Curated OER
Worksheet #3, Derivative Rates, Percent Rate of Change, Chain Rule
In this calculus worksheet, students answer compute the distance of an object from a given point after t seconds when given the formula. They use the chain rule to answer 2 questions. Students compute the derivatives and sketch a graph...
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.
Curated OER
Worksheet 14: Properties of Logs
In this math worksheet, students are given 7 problems in which they review properties of logs and solve, differentiate formulae, find derivatives and solve story problems involving the rate of spread of a disease and Newton's Law of...
Curated OER
A Day at the Beach
Help learners determine the rate of change for the temperature of sand. They will collect data on the temperature of wet and dry sand over time with a heat lamp overhead. Then make a scatter plot of the data and find a linear model to...
Curated OER
The Chain Rule
In this calculus worksheet, students are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
Curated OER
Related Rate Problems
For this calculus worksheet, students solve problems that involve related rates. The two page worksheet contains twenty-four problems. Answers are not provided.
Curated OER
MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
Curated OER
Partial Derivatives for a Function of Two Variables
For this partial derivatives worksheet, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve four...
Curated OER
A.P. Calculus - First Semester Examination
In this calculus exam instructional activity, students solve 40 multiple choice and short answer problems. Students find derivatives, second derivatives, normal lines, slopes, etc.
Curated OER
Finding the Derivative
In this calculus worksheet, 11th graders solve functions and rational expressions using the 1st and 2nd derivatives. They calculate the rate of change of an area using the derivative. There are 4 questions.
Project Maths
Introduction to Calculus
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...