Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.

Do some interpretive modeling. Class members watch three examples of interpreting key features of a graph of a quadratic to find solutions to a real-world problem. Learners review how to find the key features on a graph using technology...

What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...

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...

Move beyond setting up equations. Pupils continue with optimization problems and use their knowledge of derivatives to find solutions. They watch as the video uses equations from previous examples and find solutions to answer specific...

Quadratics need no introduction, but here is one anyway. Learners watch a video that introduces them to quadratics. The pupils learn what a quadratic is, its key features, and how to sketch a graph of the parabola it defines. Then, they...

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...

Where do the questions come from? Individuals examine released items and see the topics included. Teachers use the materials to see the distribution between strictly BC content and that which is shared with AB. The 2002 Calculus BC is...

Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...

Can a coral cure cancer? Take seventh and eighth grade science sleuths to the underwater drugstore for an investigation into emerging pharmaceutical research. The fifth installment in a series of six has classmates research the wealth of...

Math can be a work of art! Reach your artistic pupils as they explore angle measures. A creative set of five problems of varying levels has young learners study interior and exterior angle measures of polygons. The introductory levels...

In this relative maximum worksheet, students determine the velocity and the relative maximum and minimum of given functions. They identify continuous functions and illustrate their graphs of functions. This three-page worksheet...

For this maximum and minimum worksheet, students determine the dimensions of given figures inscribed within other figures or within graphs. This one-page worksheet contains seven dimension problems.

For this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...

In this math worksheet, students use protractors to measure each of a set of angles. This is a worksheet generator, the teacher controls the minimum and maximum angles students are presented with as well as whether or not to rotate...

In this properties of parabolas activity, students identify the vertex and the minimum and maximum value of each parabola. They graph parabolas on a coordinate plane. This four-page activity contains 14 problems. Answers are provided on...

Eighth and ninth graders graph a given function and identify the domain, range and intercepts. Theytell the intervals that the function is increasing, decreasing, or constant. Pupils identify the minimum and maximum of the graph, and...

In this scatterplots worksheet, 9th graders solve and complete 6 different word problems with different sets of data. First, they sort the data set in increasing order and find the minimum, first quartile, median, third quartile, and...

In this minimum and maximum worksheet, student find the maximum and minimum values of given functions. They determine the largest and least altitude of a scalene triangle under given conditions. Students find the largest value of pairs...

Students examine the greenhouse effect, as they determine how moisture in the air affects the diurnal temperature range. Their investigation help them to explain different climatological regimes of both the Southern Great Plains and the...

Water skiing laws exist for the safety of all concerned. Proper equipment is just as important as following all the laws concerning safety. Lesson 5 is part of a unit on boat safety and water sports. There are links at the bottom of the...

Using and online tool called TimeRime, class members create timelines that include what they consider to be the top 10 most important events from the first semester of world history. The first few pages of the assignment focus on how to...

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.

Put the better archer in a box. The performance task has pupils compare the performance of two archers using box-and-whisker plots. The resource includes sample responses that are useful in comparing individuals' work to others.