CK-12 Foundation
Tangent Line Approximation: Estimating Square Roots
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
CK-12 Foundation
Derivatives of Trigonometric Functions: Derivative of sin(x)
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
Flipped Math
Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
Curated OER
The Method of Integration by Parts
In this calculus worksheet, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.
Curated OER
The Integration of Exponential Functions
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
Curated OER
Product Rule
In this calculus worksheet, students find the derivative of a function. They use the product rule to to differentiate each problem. There are 21 problems with an answer key.
Curated OER
The Method of U-Substitution
In this calculus worksheet, learners solve problems using U-Substitution. They find antiderivatives using indefinite integrals. There are 18 questions with an answer key.
Curated OER
Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
Curated OER
Introduction to Slope Fields
Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
Curated OER
Word Problems
In this calculus worksheet, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
Curated OER
Differential Equations and Population Growth Lesson
Students calculate the size of the population at a given time, for a population that grows at a rate that is directly proportional to the number of members present in the population. They also calculate the time at which the population...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
College Board
Extrema
No need to go to extreme lengths to find resources on extrema. The central focus of an AP® curriculum module is on critical points and extrema, and how to cover these concepts throughout the course. A set of three worksheets helps assess...
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...
Curated OER
Differentials
High schoolers engage in a lesson that is about finding the differentials of an equation. They practice computing the differential and apply them to obtaining the approximations for cube roots. The lesson includes examples for the...
Curated OER
Logarithmic Differentiation
Students engage in a lesson that is about the concept of logarithmic differentiation. They practice solving problems to take derivatives of expressions by applying logarithms. The lesson includes examples the teacher could use for direct...
Curated OER
Related Robots
Students solve problems using implicit differentiation. In this calculus lesson plan, students take the derivative to calculate the rate of change. They observe two robots and draw conclusion from the data collected on the two robots.
Curated OER
Differentiation
In this college level calculus worksheet, students differentiate functions including logarithms and trigonometric functions. The two page worksheet contains twenty-six problems. Answers are not provided.
Curated OER
Even More Calculus
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the...
Curated OER
Multivariable Calculus: Implicit Differentiation
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
Curated OER
The Calculus Whiz Who Owned a Box Company
Learners use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
Curated OER
AP Calculus Practice Exam
In this Calculus activity, students are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of...
Curated OER
AP Calculus Practice Exam
For this Calculus worksheet, 12th graders are provided with practice problems for their exam. Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. ...
Curated OER
Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.