Balanced Assessment
A Sharper Image
Not all continuous functions are differentiable. Pupils find three types of functions that are defined everywhere but not differentiable for all values of x. Along with providing examples of each type of function, students explain the...
Curated OER
Limits and Continuity
In this calculus instructional activity, students work problems containing functions, limits and dealing with continuity. They evaluate functions and use the limits theorem to help find the correct answer. There are 26 questions.
Curated OER
Approaching Limits
With the assistance of their Ti-84/Ti-83 Plus calculators, students develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches a...
Curated OER
Determining Point of View
Students examine web sites to determine point of view and bias in information sources. They determine the usefulness of information based on these biases or limitations.
Curated OER
Checking Grammar: Accuracy
Get young writers in the practice of editing their work using this punctuation and grammar worksheet. They first read eight sentences with grammar issues, rewriting or checking off as correct. The sentence errors involve subject-verb...
Illustrative Mathematics
Sports Equipment Set
Many learners like to play sports and the equipment that goes with it costs money. The resource sets up an inequality that gives a total amount needed to purchase the equipment and the initial amount of money already obtained. In order...
Chapman University
Proof of L’Hospital’s Rule
Understanding how calculus formulas were derived connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the derivative's application in simplifying...
Heritage Foundation
Congress's Economic Powers
Join Congress as they assess their economic abilities for spending—and as they discover their limits. High schoolers use an educational resource to explore Congress's economic powers and learn to apply these concepts to their everyday...
K12 Inc.
K12 Periodic Table of the Elements
For anyone learning or teaching chemistry, nothing beats a free and interactive periodic table of the elements. Peruse the elements while learning about atomic number and mass, melting and boiling points, and many other properties of...
Deliberating in a Democracy
Freedom of Expression
Should democracies include hate speech as a protected right? Scholars analyze the rights found under the First Amendment to the Constitution through researching evidence. Freedom of expression becomes the focal point of the...
Curated OER
Take-Home Midterm Exam #3, Part A
Let your physics learners take this electromagnetic radiation exam home to show what they know. You could also use it in class or assign it as a review. The content covers concepts pertaining to color, wavelength, frequency, refraction,...
College Board
2008 AP® Calculus BC Free-Response Questions Form B
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...
Flipped Math
Calculus AB/BC - Unit 2 Review: Differentiation
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
Teach Engineering
Pointing at Maximum Power for PV
Following detailed directions, teams collect the voltage and current outputs of a photovoltaic cell by adjusting the resistance. Using the collected data, they determine the highest power output. Implications for weather and a large...
CK-12 Foundation
Average and Instantaneous Rates of Change
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
Carolina K-12
Citizens United v. Federal Election Commission & the First Amendment
Should Congress limit how much a corporation spends to support a political candidate? Here is a fantastic lesson plan and activities to help young citizens approach this question.
College Board
2011 AP® English Language and Composition Free-Response Questions Form B
Strong writers support their points with direct evidence and details. A series of free-response questions from the 2011 AP® English Language and Composition exam require the use of details to obtain a good score. The first prompt...
US Department of Commerce
Make Data Speak
Data displays are more than just a bunch of numbers. Small groups access census results and create eye-catching data displays. Teams choose a statistic and collect data points for five locations. Classmates present their infographics to...
Nemours KidsHealth
Sportsmanship: Grades 9-12
The increasing number of unsportsmanlike conduct penalties, red cards, and ejections from games points out the need for activities that help young people recognize behaviors that exemplify good sportsmanship. For homework, class members...
Curated OER
Numerical Analysis: Successive Intervals
In this successive interval worksheet, students find the approximation of a root, using the Bisection Algorithm. They identify intervals, and use algebraic manipulation to identify functions that have a fixed point.
Curated OER
The Definition Derivative
In this derivative worksheet, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page worksheet contains eight problems.
Curated OER
Math 155: Worksheet 9 - Inverse Function
In this inverse function worksheet, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page worksheet contains 15 problems.
College Board
2012 AP® Calculus AB Free-Response Questions
What's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...
College Board
2014 AP® Calculus BC Free-Response Questions
How much of the material is really important? Pupils use the free-response questions from the 2014 AP Calculus BC exam to see how the questions appear. With the supporting material, teachers understand the topics that appear on the test...