In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.

The split is 50-50. Released free-response questions from the 2016 AP Calculus BC show that half the questions are from the AB portion of the course and the others are from the BC portion. Teachers and pupils use the items to prepare and...

Dive 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....

Don't just rely on the textbook. Released items from the AP Calculus BC provide pupils and teachers insight on how topics appear on the exam. The six items are divided into calculator and non-calculator sets with half of them also...

In this math learning exercise, students examine the equations for the planets of Mercury and Saturn. Then they find the distance of Saturn’s closest and farthest approach to the sun.

Explore 5 classical problems of algebra.  They will solve problems involving Heron's formula, fractional equations, vector equations, apollonius' sphere, and transversals. The idea is to lead to new perceptions and visual...

Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...

Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...

Given 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...

Are you always looking for extra problem resources to incorporate in your classes?  A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.

Students review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They...

Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus instructional activity, 12th graders review average rate change, parametric equations, a line tangent to a...

Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...

Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient rule,...

Twelfth graders review the properties of derivatives without a calculator to get get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...

Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...

Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.

In this math worksheet, students complete the practice exam that asks for the solution to the parametric equation. Also they name the perpendicular line in relation to it.

Eleventh graders study homogeneous linear systems. In this linear system of equations lesson, 11th graders write linear system solutions in parametric vector form. Students also identify the connection between linear independence and...

Students compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...

For this vectors worksheet, students solve and complete 6 various types of problems. First, they find an equation of a sphere with a given center point and endpoint of a radius at the point. Then, students find the scalar and vector...

In this precalculus worksheet, 12th graders find the solutions to the parametric equations and practice with the help of a graphing calculator.

Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.

In this calculus instructional activity, students differentiate equations and calculate rate of change. They find the area and volume under a curve. There are 18 questions on this test.