Worksheet
Curated OER

Relations and Functions

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students determine if a relation is a function or not and find the functional value of a domain element.  The two page worksheet contains a combination of nine multiple choice and free...
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
eBook
Whitman College

Calculus - Early Transcendentals

For Teachers 9th - Higher Ed Standards
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...
Lesson Plan
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National Endowment for the Humanities

Upton Sinclair, Theodore Roosevelt, and Harvey W. Wiley

For Teachers 6th - 8th Standards
Though Upton Sinclair's novel The Jungle shocked the American public into a thorough examination of the meat-packing industry, the author was disappointed that his book's main argument—the exploitation of American immigrants—was not...
Worksheet
Curated OER

Math 250 - Integration Review Problems

For Students 11th - 12th
For this integrals worksheet, students find the indefinite integrals of eleven multi-step problems. Students find the integrals of functions with and without intervals.
Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Unit Plan
Mathematics Vision Project

Module 2: Logarithmic Functions

For Students 9th - 12th Standards
Build a solid understanding of logarithmic functions and equations. Five lessons in the module begin by developing the concept of a logarithm. The next lessons address graphing logarithmic functions, logarithmic properties, and solving...
Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Unit Plan
Mathematics Vision Project

Linear and Exponential Functions

For Teachers 9th - 10th Standards
Provide a continuous progression to linear and exponential functions. Pupils continue to work with the discrete functions known as sequences to the broader linear and exponential functions. The second unit in a series of nine provides...
Unit Plan
Mathematics Vision Project

Module 1: Functions and Their Inverses

For Students 10th - 12th Standards
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
Lesson Plan
West Contra Costa Unified School District

Graphing Exponential Functions

For Teachers 8th - 10th Standards
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
Interactive
Shodor Education Foundation

Multi-Function Data Flyer

For Students 8th - 12th Standards
Explore different types of functions using an interactive lesson. Learners enter functions and view the accompanying graphs. They can choose to show key features or adjust the scale of the graph.
Interactive
Shodor Education Foundation

Linear Function Machine

For Students 6th - 10th Standards
What goes in must come out! Learners play with a function machine to determine the correct function. They enter input values and watch as the machine produces the output.
Interactive
Shodor Education Foundation

Function Machine

For Students 6th - 9th Standards
Machines can be so helpful sometimes. A simple interactive has learners enter input values for a function machine and observe output values. These values help determine a function that represents the input-output relationship in the...
Lesson Plan
Community Resources for Science

A Whole New World of DNA and Proteins

For Teachers 7th - 8th
Lead your young scientists into an exciting world as they participate in a role play and experiment focused on proteins and DNA. After researching the Central Dogma of Biology, individuals or groups participate in a classroom...
Worksheet
Curated OER

Integrating Special Functions

For Students 11th - Higher Ed
In this math activity, students practice reading the examples of integrating special functions. The examples have the formulas included.
AP Test Prep17:00
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Flipped Math

Calculus AB/BC - Integrating Using Substitution

For Students 10th - 12th
U is for u-substitution. Viewers of an instructional video learn how to apply u-substitution to determine integrals for more complex functions. They first find indefinite integrals, then move on to definite integrals.
Interactive
CK-12 Foundation

Properties of Definite Integrals

For Students 11th - Higher Ed
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
AP Test Prep17:14
1
1
Flipped Math

Calculus AB/BC - Integrating Functions Using Long Division and Completing the Square

For Students 10th - 12th
With just a little work, integrals can become much easier. The 11th of 16 installments in Unit 6 - Integration has viewers watch a video to learn different ways to rewrite an integrand before determining the integral. They use polynomial...
AP Test Prep16:14
1
1
Flipped Math

Calculus AB/BC - Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation

For Students 10th - 12th
Calculus classes definitely need to learn about indefinite integrals. Individuals watch an informative video to learn the antiderivative rules for exponential, logarithmic, trigonometric, and inverse trigonometric functions. To solidify...
AP Test Prep9:02
1
1
Flipped Math

Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area

For Students 10th - 12th
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
Unit Plan
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1
Mathematics Vision Project

Similarity and Right Triangle Trigonometry

For Teachers 10th - 12th Standards
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
Activity
Howard Hughes Medical Institute

Viral DNA Integration

For Teachers 9th - Higher Ed
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...
Unit Plan
Mathematics Vision Project

Module 3: Arithmetic and Geometric Sequences

For Teachers 8th - 10th Standards
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...