College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
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...
College Board
2007 AP® Calculus BC Free-Response Questions Form B
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
College Board
2003 AP® Calculus BC Free-Response Questions Form B
Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...
College Board
Extrema
No need to go to extreme lengths to find resources on extrema. The central focus of an AP® curriculum module is on critical points and extrema, and how to cover these concepts throughout the course. A set of three worksheets helps assess...
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...
Shodor Education Foundation
Ordered Simple Plot
Open your imagination to make algebra-inspired creations. An interactive lesson has scholars graph images from a set of parameters. Users can practice minimum values, maximum values, and scale as well as key features.
CK-12 Foundation
Absolute Extrema and Optimization: Building the Biggest Box
Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...
Mathematics Assessment Project
Temperatures
As a middle school assessment task, learners first examine line graphs of monthly temperatures for two locations, and then match box plots to each line plot.
Curated OER
Box and Whisker Plots
Seventh graders explore the concept of box and whisker plots. In this box and whisker plots lesson, 7th graders plot data on a box and whisker plot. Students discuss the mean, median, and mode of the data. Students discuss range,...
Curated OER
Practice Test for Midterm: Partial Derivatives
In this partial derivatives activity, students use Lagrange multipliers to find the maximum and minimum values of a given function. They find an equation of the tangent plane under given conditions and identify the second partial...
Curated OER
Math Sheet #10
For this math worksheet, students examine one equation and identify the maximum and minimum value of the equation. Using Excel worksheet, students graph the equation. There is one equation with three parts on this one-page worksheet.
