Curated OER
Applying the Fundamental Theorem of Calculus
In this fundamental theorem worksheet, students identify the anti-derivative and write equations as an explicit function. This two-page worksheet contains two multi-step problems.
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
Trapezoidal and Midpoint Approximations: Area of a Skirt
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
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.
Curated OER
AP Calculus Practice Exam
In this calculus worksheet, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits. The four page worksheet contains twenty-eight multiple choice questions. Answers are not provided.
CK-12 Foundation
Length of a Plane Curve
Challenge your class to use straight lines when estimating the length of a curve. An engaging interactive allows individuals to place line segments one after another along the arc. Learners determine that the more lines used, the better...
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...
Curated OER
Numerical Analysis: Dimensional Vectors
In this dimensional vector instructional activity, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page instructional activity contains approximately...
Curated OER
Using Riemann Sums
In the Riemann sums worksheet, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page worksheet contains explanations...
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
Capacitance
In this capacitance activity, learners solve 19 problems about capacitance, voltage, electric charge and Ohm's Law. They use calculus to solve some of the problems and they are given equations used to solve different capacitance problems.
Curated OER
Screaming for Ice Cream
Mathematicians investigate maximizing volume by learning to explore the problem in which they seek to maximize the volume of a cone. Students solve the problem symbolically, graphically, and through the use of integration or...
Curated OER
Lab 2: Euler's Method and Riemann's Sums
In this Euler's Method and Riemann's Sum worksheet, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to determine the...
Curated OER
An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle, graphing in...
Curated OER
Infinity
High schoolers engage in a lesson that is concerned with the concept of infinity as defined in a series by geometry. The lesson integrates the use of philosophy to help them comprehend how infinity can possibly mean while investigating...
Statistics Education Web
It Creeps. It Crawls. Watch Out For The Blob!
How do you find the area of an irregular shape? Class members calculate the area of an irregular shape by finding the area of a random sampling of the shape. Individuals then utilize a confidence interval to improve accuracy and use a...
Curated OER
Unit Circle Lesson Plan
Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember...
Curated OER
Finding the Area Under A Curve with Random Probability
Students explore the concept of area under a curve. In this area under a curve lesson plan, students find the area under a curve using the Monte Carlo method using random points and probability. Students calculate the area under the same...
Curated OER
Attributes of Renewable Energy: From Nanopossibilities to Solar Power
High schoolers explore solar energy, why we use it and how we use it. In this renewable energy instructional activity students compare active and solar techniques.
Curated OER
Mathematical Wackie Wordies
In this word instructional activity, 9th graders examine pictures and write a mathematical phrase to describe the picture. This one-page instructional activity contains 25 problems. Answers are provided.
Curated OER
Binary Numbers
In this algebra worksheet, students perform binary addition, subtraction and division to find the binary base for decimals between 0-31. There are 31 questions.