Virginia Department of Education
Structure and Function of Cell Membranes
Lead your high school class on an exploration inside the cell. Individuals investigate the relationships between cells structure and function given their relative locations on the cell membrane. They explore the concept of homeostasis...
Curated OER
Exploring Transformations
Learners explore what happens when geometric figures are transformed on the coordinate plane. They work in pairs, moving geometric shapes in the plane, and formalize their rules as functions.
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
Howard Hughes Medical Institute
Viral DNA Integration
How do reverse transcriptase inhibitors work? Young virologists examine the function of azidothymidine, a drug doctors use to treat HIV patients, during a hands-on modeling activity. Groups create a strand of DNA from an HIV RNA strand...
Curated OER
Integration By Substitution
Young scholars calculate the solution using integrals in this calculus instructional activity. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
Curated OER
The Graph of a Quadratic Function
In this Algebra I/Algebra II worksheet, students graph quadratic functions. The five page worksheet contains a combination thirteen multiple choice and free response questions. Answers are included.
Curated OER
Elevator Height as Integral of Velocity
Pupils investigate integrals and their relationship to velocity in this calculus lesson plan. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
Curated OER
Graphs involving Exponential Functions
In this algebra worksheet, students graph exponential functions and analyze it for growth and decay. There are 9 problems with an answer key.
Texas Instruments
Integration By Parts
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
Curated OER
Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths instructional activity, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Curated OER
Complex Analysis: Contour Integration
For this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
Curated OER
MVT for Integrals
Learners identify the meaning of the Mean Value Theorem. In this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
Curated OER
Integrating Functions
In this math worksheet, middle schoolers find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Curated OER
Complex Analysis: Contour Integration
In this contour integration worksheet, students integrate complex functions of a real variable. They sketch the contour and evaluate the integral. This two-page worksheet contains eight problems, as well as explanations and examples.
Curated OER
Worksheet 36-Spring 1996
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Mathematics Vision Project
Module 1: Sequences
Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...
Shodor Education Foundation
Graph Sketcher
Sketch graphs with the Graph Sketcher. Scholars graph functions on a coordinate plane. An interactive makes it as easy as inputting the function and clicking a button.
Shodor Education Foundation
Polar Coordinates
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
Curated OER
Exploration 3: Introduction to Definite Integrals
In this integral learning exercise, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page learning exercise contains approximately 40...
Curated OER
Applications of Definite Integrals
In this definite integral activity, students explore different types of integrals and determine the length of a curve. This one-page activity contains eight multi-step problems.