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 Points
For this maximum and minimum points worksheet, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a box that has...
Curated OER
Maximum and Minimum Problems
In this maximum and minimum problems worksheet, 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...
Curated OER
Applied Maximum Minimum Problems--Mini Golf
Twelfth graders investigate maximum and minimum as it relates to billiard and mini golf. In this calculus lesson plan, 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
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 lesson 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.
Science Geek
Bulk Properties of Water
Learn the ins and outs of the properties of water through an engaging slide show. The lesson presents different facts about water including phase change, heat of fusion, heat of vaporization, and specific heat among others.
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 2
Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...
Curated OER
Show Me the Money
Pupils investigate financial applications of mathematics in this mathematics lesson. They will investigate equations that represent a company’s income, expense, and profit functions and use those equations to identify break even points...
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 worksheet, 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 and describe...
Curated OER
Maximum Power Point
Students investigate energy using a photovoltaic cell. In this electricity lesson, students collect data from current-voltage and power-voltage curves to determine if photovoltaic systems have an advantage over conventional electric...
NASA
The X-1 Paper Glider Kit
After reading an interesting account of how the X-1 aircraft was designed, built, and utilized, young engineers try their hand at constructing a paper glider version of the airplane. They cut out the plane out of a nicely designed...
NOAA
I Can't Breathe!
The Gulf of Mexico dead zone, an area of low oxygen that kills marine life, costs the United States $82 million every year. Young scientists research anoxic ocean environments then come up with a hypothesis for the cause of the Gulf of...
National Wildlife Federation
Green Green Revolution
School budgets don't have a lot of extra money, so when students propose saving the district money, everyone jumps on board. The first lesson in the series of 21 introduces the concept of an energy audit. Scholars form an eco-action team...
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
2002 AP® Calculus AB Free-Response Questions
Peek behind the curtain. Using a helpful resource, teachers and pupils see the way concepts appear on the AP® Calculus exam. Scholars use the questions to prepare for their own exams, gaining quality practice before test day. Questions...
College Board
2006 AP® Calculus AB Free-Response Questions Form B
An exam divides the six free-response questions into calculator use and no calculator use items. The non-calculator items are conceptual in nature and test whether pupils understand the calculus concepts. Scholars explain their answers...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
Balanced Assessment
Triangle in Circle
Even kindergartners can draw triangles in circles, but the assessment task requires a bit more geometric knowledge. Scholars investigate triangles that have a diameter of a circle as one of its sides. They must consider triangles that...
Curated OER
Linear Programming
In this algebra worksheet, students calculate the maximum and minimum of a shaded region. They identify the boundaries and their vertices's. There are 2 problems.
Curated OER
Creating a Classroom Constitution
Youngsters identify and interpret the importance of having rules in order to maintain order at home, at school, in their community, and in the United States. They create a working Classroom Constitution that governs the classroom and...