Shodor Education Foundation
InteGreat!
Take a great look at integration! Young scholars use an interactive to learn how to integrate a function. Learners input a function and view the integral as well as see a graphical representation.
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...
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...
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
Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Curated OER
Integrals involving Trig Substitution
Students define integrals and list the trig values. In this calculus activity, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
Curated OER
Integration By Parts
Twelfth graders define integration by parts and solve integrals. In this calculus lesson, 12th graders integrate functions using the product rule. They work example problems with the teacher before doing it on their own.
Curated OER
Review Integration
In this integration activity, students integrate 16 functions. Students take the integral of functions using partial fractions and uv substitution.
Curated OER
Integration By Substitution
Young scholars calculate the solution using integrals in this calculus lesson. 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 instructional activity. 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, learners 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 worksheet, 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.
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
For this integral worksheet, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.
Curated OER
Integrating Special Functions
In this math learning exercise, students practice reading the examples of integrating special functions. The examples have the formulas included.