Curated OER
Average Value of a Function
In this calculus worksheet, 12th graders calculate the line tangent to a curve and find the average value of a function. There are 12 questions.
Curated OER
Parametric Equations
Students investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the lesson for direct...
Curated OER
Related Rates
In this algebra learning exercise, students rewrite word problems using algebraic symbols and solve for the related rates. There are 10 word problems involving derivatives and rates.
Curated OER
AP Calculus Practice Exam
In this calculus learning exercise, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits. The four page learning exercise contains twenty-eight multiple choice...
Curated OER
Differentials
Learners investigate Differential equations using derivatives. In this calculus lesson, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation and circle. They...
Curated OER
Test on Limits and Continuity
Learners review concepts of logarithms for their test. In this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.
Curated OER
Product Rule
Students define the product rule and use it to solve problems. In this calculus lesson, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by proving...
Curated OER
Implicit Differentiation
Students define and use implicit differentiation to solve equations. In this calculus lesson, students take the derivative implicitly to find x and y values. They apply this knowledge to real life scenarios.
Curated OER
Power and Maclaurin Series
For this calculus worksheet, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.
Curated OER
Barehands Integration
In this calculus worksheet, students use integration to calculate the solution of functions. They use the correct notation and formula to calculate where the derivative is constant. There are 10 questions.
Curated OER
Speaking Parametrically
Students solve equations by taking the derivative. In this calculus activity, students solve parametric equations implicitly. They use the TI-calculator to graph their equations.
Curated OER
Limits of Trigonometric Functions
Students define limits as it related to trig functions. In this trigonometry lesson, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...
Curated OER
Integrations Applications
In this algebra worksheet, students solve functions using integration and the derivative to find the area and volume of a curve. There are 11 questions.
Curated OER
Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
Chapman University
Proof of L’Hospital’s Rule
Understanding how calculus formulas were derived connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the derivative's application in...
CK-12 Foundation
Absolute Versus Local Extrema
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of...
CK-12 Foundation
Absolute Extrema and Optimization: Building the Biggest Box
Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...
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
Worksheet 13
In this math instructional activity, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
Curated OER
Differential Equations
In this differential equation worksheet, learners find the derivative of given equations and express their answers as Maclaurin series. This two-page worksheet contains examples and explanations. There are two problems in this worksheet.
Curated OER
Symmetric Secant
Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry lesson plan, students create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.
Curated OER
The Io Plasma Torus
In this plasma torus worksheet, students solve 5 problems including finding the dimensions of the Io torus, determining the formula for the volume of a torus, finding the actual volume of the Ion torus and finding the amount of sodium...
Curated OER
Multivariable Calculus: Implicit Differentiation
In this implicit differentiation learning exercise, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page learning exercise contains definitions, examples, and...
Curated OER
Related Rate Problems
In this calculus worksheet, students solve problems that involve related rates. The two page worksheet contains twenty-four problems. Answers are not provided.