Curated OER
Delta-Epsilon Definition of a Limit
Twelfth graders define limits and use the delta epsilon definition to solve limits. In this calculus lesson, 12th graders investigate the x and y axis using delta epsilon limits. They learn a song to help them remember the definition.
Curated OER
Integrals by Partial Fractions
Young scholars solve integrals using partial fractions. In this calculus lesson, students solve equations using the Heaviside Method if all the number in the denominators are not repeating. They complete an assignment in the text book also.
Curated OER
Defining the Circular Functions
In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
Curated OER
Precalculus Test
In this calculus activity, students match cosine values with sine values. They solve trigonometric equations and graph functions. There are 20 questions with a bonus question.
Curated OER
Derivative Formulas
In this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
Curated OER
Taylor Polynomials
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
Curated OER
Return Intervals & Reasoning from Tabular Data
Young scholars calculate derivatives from a set of data. In this calculus lesson, students estimate the limit at infinity. They complete a Return Interval handout at the end of the lesson.
Curated OER
Worksheet 12
In this math worksheet, students state the Alternating Series Test and give an example of it. They also write down an alternating series which does not converge.
Curated OER
Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
Curated OER
TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, young scholars explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations,...
Curated OER
Too gross! Addition Tricks with Derivatives
In this calculus worksheet, students evaluate derivatives by playing a game. They pick 4 different derivatives to evaluate and find the sum of the solved derivates to find a number that is gross. There are 12 questions to choose from.
Curated OER
Calculus and The Simpsons
In this calculus worksheet, students examine a situation form The Simpsons in whcih Bart falls from a tree house. Students write and solve an differential equation that gives the height of the tree house. The...
Curated OER
Worksheet 12 - Spring 1996
For this math worksheet, students consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
Curated OER
Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The activity provides examples with solutions and practice problems.
CK-12 Foundation
Antiderivative: Piecing it Together
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
CK-12 Foundation
Constant, Identity, and Power Rules: Power Rule
Learn to gain power in finding derivatives. The resource introduces the power rule. Using the sliders in the interactive, pupils create polynomial functions and find their derivatives. Given the derivative of a polynomial, learners...
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...