New ReviewDive into the exam review. Pupils use questions, including one about diving into a pool, to prepare for the AP® Calculus BC exam. Items include contextual and non-contextual questions with contextual examples requiring a calculator....

New ReviewProvide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...

New ReviewGiven a set of questions, pupils realize the way the Calculus BC free-response exam asks questions. The items include both contextual and non-contextual questions. Both types are split into the calculator and non-calculator sections for...

New ReviewTake an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...

New ReviewGet a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...

New ReviewWhat was one of the big takeaways from 2009? By reviewing the released AP® Calculus free-response questions, pupils and teachers realize that performing mathematics is not all there is to doing well on the exam. Several items require...

New ReviewGet the most out of released items. Teachers use the included materials to learn about test-takers' performance on released free-response questions. Pupils respond to the questions and compare their responses to sample scored responses...

New ReviewGain an upper hand in preparation for the exam. Teachers and pupils use six released questions to gain an understanding of the AP® Calculus exam. By answering the questions, scholars see how different concept of the course show up on the...

New ReviewGain an understanding of the test before taking your own. Scholars develop an understanding of how calculus concepts appear on the AP® exam. The six released questions come from across the curriculum and include particle movement and...

New ReviewTake a closer look at the exam. Released items from the 2001 Calculus AB exam allow teachers and pupils to view how the exam presents questions. Scholars use the questions to prepare for the test and compare their responses to the...

New ReviewHere's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...

New ReviewIt is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...

A tangent line always finds its place at a 90-degree angle to a radius. Many scholars struggle with the proof of the seemingly simple statement. A brief video demonstrates the reasoning behind the proof before pupils practice applying it...

Model a bicycle chain with circles and tangent lines. Given the dimensions of the sprocket wheels, young scholars calculate the length of the chain that surrounds them. A second task has learners write a function for the length of a...

Understand the difference in finding angle measures. A segment of an extensive geometry playlist introduces the formula to find the measure of an angle formed outside of a circle. Using examples, the video shows how to calculate measures...

Squaring the length equals the product of the outside times the whole. The presentation shows how to find a missing length in a tangent segment or secant segment. As part of a geometry playlist, the video provides the formula relating...

Point out properties of a line tangent to a circle. The resource provides two theorems dealing with tangent lines to a circle. A section of a geometry playlist uses the relationship between a radius and a tangent line to find missing...

Derive tangent lines through derivatives. Scholars use an app to graph functions and investigate derivatives and tangent lines. The interactive automatically graphs a tangent line at a specified point and can also produce tables of values.

Don't just touch upon the resource once; use it again and again. Pupils construct a tangent line to a given circle that intersects the circle at one point. The strategy here is to use a compass and straightedge.

Is it normal to find a perpendicular line to the tangent line? The short video provides a problem to find the equation of the normal line to a function. Beginning with an explanation of the normal line, the 27th installment in a 31-part...

Use slope to find the location of horizontal and vertical tangent lines. Using the derivative of a radical function, the presenter finds the points where the derivative is zero or undefined on a given interval. The 26th in a series of 31...

Perform parallel calculations to find equal slopes. Using the formula for the equation of the tangent line to a point, the resource sets out to find two points with a difference of one that have parallel tangent lines.The 25th video in a...

Given a function and a point on the function, the video shows how to determine the equation of the tangent line at that point. Using the function equation, the presenter determines the y-coordinate for the point. The 24th video in a...

Serve up the definition of the derivative two ways. Video three in a series of 31 begins with making the distinction between the difference quotient and the definition of the derivative. The presentation shows two ways the definition is...