CK-12 Foundation
Chain Rule
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
CK-12 Foundation
Higher Order Derivatives—Acceleration and Jerk
Accelerate your class through finding the second derivative. Using a bank of equations, pupils determine the equations for distance, velocity, and acceleration and their associated function notations. With the equations, learners answer...
CK-12 Foundation
Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima
Rolle with the mean values and derivatives. Scholars complete the statements of Rolle's Theorem and the Mean Value Theorem. Using the interactive to illustrate scenarios, pupils respond to questions concerning the theorems in terms of...
CK-12 Foundation
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
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...
CK-12 Foundation
Differential Equations Representing Growth and Decay: Rice Legend
The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...
CK-12 Foundation
Logarithmic Differentiation: Graphing the Derivative of a Logarithm
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
Curated OER
Review Quiz before Mini-Exam
In this pre-calculus review worksheet, high schoolers solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded...
Curated OER
Rational Functions
In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts. The three page worksheet contains forty problems. Answers are provided.
Curated OER
Evaporation Pans & Related Rates
Students calculate evaporation rate using differential equations. In this calculus lesson, students explain how pan evaporation works. They complete a worksheet to sum up the lesson.
Curated OER
Computation of Limits
Students discuss the importance of limits as it relates to calculus. In this calculus lesson, students define limit and memorize the three rules of limits. They work problems to enhance their understanding of how limits function.
Curated OER
Functional Analysis
Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Curated OER
Integrals
In this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations. The two page worksheet contains sixteen problems. Answers are...
Curated OER
Discussion Sheet 4
In this math worksheet, students read each word problem and then use the rules of geometry or calculus to find the solutions in groups.
Curated OER
The Fundamental Theorem and IVP's
In this math worksheet, students practice solving the problems concerning the concept of energy consumption. They also review the Fundamental Theorem of Calculus.
Curated OER
Matrices
For this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.
Curated OER
Speaking Parametrically
Students solve equations by taking the derivative. In this calculus lesson, students solve parametric equations implicitly. They use the TI-calculator to graph their equations.
Curated OER
Pre-Calculus Test Chapter 5: Identities
In this identities instructional activity, students match equivalent expressions containing sine, cosine, and tangent. They solve equations, find intervals, and determine all solutions to an interval. Students prove given identities. ...
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 questions. Answers...
Curated OER
Multivariable Calculus: Limits of Multivariable Functions
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...
Curated OER
Average Value of a Function
For 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
Sherlock Holmes' Real Train Adventure
In this calculus worksheet, students use the trapezoid and Simpson's rule to calculate the midpoint sum. They use a specific interval to perform their integration. There are 12 questions.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...