NOAA
Importance of Deep-Sea Ecosystems – The Benthic Drugstore
You never know what you will find next in the deep sea ecosystem. So far, scientists have found items that work as anti-tumor agents, anti-inflammatory agents, agents that stop uncontrolled cell division, and much more. The lesson begins...
Royal Society of Chemistry
Green Plastics—Chemistry Outreach
How do green plastics reduce waste and environmental pollution? Budding scientists create and test a variety of compounds used in green plastics during an insightful experiment. Beginning with startling statistics and ending with...
College Board
2001 AP® Calculus AB Free-Response Questions
Take a closer look at the exam. Released items from the 2001 Calculus AB exam allow teachers and pupils to view how the exam presents questions. Scholars use the questions to prepare for the test and compare their responses to the...
College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
Curated OER
The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
Curated OER
Review for Test
Twelfth graders review logs and derivatives in preparation for their test. In this calculus instructional activity, 12th graders review inverse functions, log functions, derivatives of implicity and the three definitions of e. They prove...
Curated OER
Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
Curated OER
Quartic Inflection
Learners use their TI-89 calculator to find properties of the quartic polynomials. The lesson includes detailed instructions along with screen shots of the graphing calculator display.
Curated OER
The Hyperbolic Sine and Cosine
In this sine and cosine learning exercise, students find derivatives and integrals of 6 functions. Students find derivatives, indefinite integrals and the area between two curves.
Curated OER
Bridges
Ninth graders use model-building to help comprehend the forces and phenomena at work in the world around them. They describe gravity as a universal force that pulls everything toward the center of the earth. Students distinguish between...
Curated OER
The Fundamental Theorem
For this calculus worksheet, students solve equations and functions by taking the derivative of each equation. They apply the Fundamental Theorem of Calculus to their problems, as they solve for the limit and identify different graphs....
Curated OER
I Have Who Has Cards - Integration Formulas
In this calculus worksheet, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
Curated OER
Why Plus C is important.
In this calculus worksheet, students solve proofs by taking the derivative and integrating functions. There are 8 problems about integration and an answer key.
Curated OER
Sodoku
In this calculus worksheet, student solve problems by taking the derivative of the function as x approaches a specific limit. They evaluate trig functions using the properties of trig. There are 26 questions with an answer key.
Curated OER
AP Calculus
In this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.
Curated OER
Ap Calculus First Semester Exam
In this algebra worksheet, 12th graders assess their knowledge on logs, functions and derivatives. There are 40 questions on this exam.
Curated OER
A Functional Housing Market
Students access the Internet to search for housing prices in Houston, Texas,(the location can be changed to accommodate any location) and compare the prices to the number of square feet found in the living area of a house.
Curated OER
Absolute Maximum and Minimum
Pupils calculate the maximum and minimum of each function. In this algebra lesson, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.
Curated OER
Complex Analysis: Analyticity and the Cauchy-Riemann Equation
For this analyticity and Cauchy-Riemann worksheet, students determine the domain of a function, explore its derivatives, and list its component functions. This two-page worksheet contains eleven problems, as well as explanations and...
Curated OER
Complex Analysis: Cauchy's Integral Formula and Integral Examples
In this integral formula worksheet, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson plan, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Curated OER
The Product and Quotient Rules
In this product and quotient rules worksheet, students use Taylor's Theorem to rewrite functions in a given form. They determine the derivatives of functions. This three-page worksheet contains explanations, examples, and seven problems.
Curated OER
Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus
In this logarithms instructional activity, students evaluate and solve equations with logarithms. They derive the formula for a derivative of a given function. Students explain the differences between logarithms. ...