Curated OER
Creating Line Graphs
High schoolers draw line graphs. In this math lesson, students interpret minimum wage data and graph the data in a line graph. High schoolers predict the next minimum wage and figure the earnings for a 40 hour work week for someone...
Curated OER
Test Chapter 5: Intervals
In this interval worksheet, students identify the largest interval for a given situation. They explore and explain functions, their derivative, relative maximum, and relative minimum. Students graph functions and determine the...
Curated OER
Lesson #73 Absolute Maximum and Minimum
Students listen to a lecture about absolute maximum and absolute minimum. In this maximum and minimum lesson students use steps to find points and practice with an example.
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
2018 AP® Calculus AB Free-Response Questions
Pupils interact with six released questions from the 2018 AP Calculus AB exam. Teachers use the additional materials to determine where the class is in terms of readiness for the exam to help provide additional instruction as needed.
College Board
2007 AP® Calculus AB Free-Response Questions
Grow your knowledge of Calculus AB. Items released from the 2007 AP® Calculus AB exam provide information to teachers about the importance of particular topics. Pupils use the questions to gain an understanding of ways the exam assesses...
Curated OER
Maximum and Minimum Problems
In this maximum and minimum problems activity, students solve and complete 9 various types of problems. First, they find two numbers with a given sum. Then, students find the maximum and minimum value of each equation. They also find the...
Curated OER
Applied Maximum Minimum Problems--Mini Golf
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. For this calculus lesson, 12th graders review how to find the maximum and minimum and write proofs to show how they arrive at their answer. They...
Curated OER
Worksheet 11: Derivative
In this derivative worksheet, students compute the relative maximum, relative minimum and inflection points of a function. They determine the derivative of a function and find the circumference of inscribed circles. This two-page...
Curated OER
The Minimal Distance Point from the Vertices of a Triangle
Students calculate the distance from the vertex of a triangle to the center. In this geometry lesson, students find the shortest distance between a point and the vertex of a triangle. They relate this concept of distance to the real world.
Curated OER
Gradually, Sooner or Later, Eventually, At Some Point, In the End
In this transition phrases worksheet, students learn the correct use of 5 transition phrases. Students read the rules for using: gradually, sooner or later, eventually, at some point, and in the end. Students then rewrite 5 sentences and...
Curated OER
Rate Equations: Equilibrium and Inflection Values
In this rate equation, learners are given 7 short-answer problems regarding functions, maximum and minimum values, equilibrium values, and inflection values.
West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The activity introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
Curated OER
Practice Test: Derivatives
In this derivatives learning exercise, students identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page learning exercise contains 6 multi-step...
Curated OER
Further Differentiation
In this further differentiation instructional activity, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each...
Curated OER
Preparing a PowerPoint Presentation Worksheet
In this power point presentation worksheet, students utilize the worksheet to prepare, create, and present their projects to classmates.
Curated OER
All About Me
Students develop and present a power point presentation. In this getting to know you lesson, students create a power point presentaion that describes themselves. Students include information about what they like to do and their...
Normal Community High School
Golf Ball Lab
The first golf balls were made of wood and would only last for a few games. Modern golf balls last a lot longer but they don't float. The presentation provides the directions for a lab to determine the minimum amount of salt needed to...
Curated OER
1912: The Election that Changed the Century
The presidential election of 1912 was a turning point in American politics. Whoever won would reshape the political spectrum. Learn about the key issues, each party's politics, and the four men who wanted to become president: William...
Mathed Up!
Completing the Square
Learners review how to use the completing-the-square method to identify maximum and minimum values of a quadratic function by watching a video. They see how the vertex form relates to the extreme values of a quadratic function, and use...
Noyce Foundation
Lawn Mowing
This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...
College Board
2004 AP® Calculus AB Free-Response Questions
Develop a deeper understanding of calculus. The released item and support materials allows teachers and pupils to dig deeper into calculus topics. Scholars use the commentary and descriptions of the items to gain a better understanding...
College Board
1998 AP® Calculus BC Free-Response Questions
Provide a test run. Pupils use the questions to practice taking the free-response section of the AP® Calculus BC exam. Teachers see the different ways questions appear on the exam to prepare individuals for whatever comes their way on...
College Board
2005 AP® Calculus AB Free-Response Questions Form B
Grab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.