READY-MADE CLASSROOM REVIEW
AP Calculus AB Jeopardy
AP Calculus AB. Project the board, share one room code, and keep the class on the same review.
Review before you host
Check the clues and answers for your group. Answers stay hidden during live play until the host reveals them.
Round 1
Limits and Continuity
$200The value approached by a function as the input gets arbitrarily close to a number.
$400The type of discontinuity that can be removed by defining the function at a specific point.
$600The condition stating that a function is continuous at a point if the limit equals the function value.
$800The horizontal asymptote of a function is determined by taking this limit as x approaches positive or negative infinity.
$1000The theorem that guarantees a continuous function takes on every value between its endpoints on a closed interval.
Derivative Rules
$200The derivative of the natural logarithm function ln(x).
$400The rule used to differentiate a function raised to a power.
$600The slope of the tangent line to a curve defined implicitly at a specific point.
$800The method required to find the derivative of the product of two functions.
$1000The rule applied when finding the derivative of a function composed within another.
Applications of Derivatives
$200The rate at which velocity changes over time.
$400The instantaneous rate of change of position with respect to time.
$600The value of the derivative at a local maximum or minimum of a smooth function.
$800The line that approximates a function near a point of tangency.
$1000The concept used to solve problems where variables change relative to time.
Definite Integrals
$200The property that allows splitting an integral over the sum of two intervals.
$400The sum used to approximate the area under a curve using rectangles.
$600The visual interpretation of a definite integral on a graph.
$800The theorem that links the concept of differentiation and integration.
$1000A method to approximate integrals using trapezoids instead of rectangles.
Indefinite Integrals
$200The integral of cosine x with respect to x.
$400The indefinite integral of e to the x.
$600The process of integration that is the reverse of the chain rule.
$800The constant added to the result of an indefinite integral.
$1000The antiderivative of the function one over the square root of 1 minus x squared.
Differential Equations
$200The process of solving a differential equation by grouping x and y terms.
$400The specific solution that satisfies a given initial condition.
$600A graphical representation of the slopes of a differential equation.
$800A differential equation where the rate of change is proportional to the current amount.
$1000A solution to a differential equation containing arbitrary constants.
Double Jeopardy
Limits and Continuity
$400The evaluation of the limit as x goes to zero of sin(x)/x.
$800The formal mathematical language used to define limits using epsilon and delta.
$1200The requirement that the left-hand limit equals the right-hand limit for the limit to exist.
$1600The theorem used to find a limit by trapping a function between two others.
$2000The condition where a limit fails to exist because it oscillates between values.
Derivative Rules
$400The derivative of a log base b of x.
$800The derivative of the tangent function.
$1200The derivative of the hyperbolic sine function.
$1600The rule used to find the derivative of a ratio of two functions.
$2000The derivative of the function arctangent x.
Applications of Derivatives
$400The point where a graph changes concavity.
$800The application of derivatives used to find optimal values under constraints.
$1200The theorem guaranteeing a point where the derivative is zero given equal endpoints.
$1600The theorem that relates the average rate of change to the instantaneous rate of change.
$2000The test used to determine if a critical point is a maximum or minimum.
Definite Integrals
$400The integral of a constant k over the interval [a, b].
$800The average value of a function on the interval [a, b].
$1200The method of calculating the volume of a solid generated by revolving a curve.
$1600The integral from a to b of f(x) is equal to negative the integral from b to a of f(x).
$2000The name of the theorem stating that the derivative of an integral function is the integrand.
Indefinite Integrals
$400The integral of the function e to the 3x.
$800The result of the integral of one divided by x.
$1200The antiderivative of secant x squared.
$1600The integral of sin squared x using a power reduction identity.
$2000The technique of integrating a product of functions derived from the product rule.
Differential Equations
$400The value where the rate of change is zero in a logistic model.
$800A differential equation of the form dy/dx = ky.
$1200The specific solution satisfying an initial condition for dy/dx = y.
$1600A type of growth where the rate is proportional to the population and carrying capacity.
$2000A numerical method for approximating solutions to differential equations.
Final Jeopardy · Calculus History
This polymath and Isaac Newton are famously credited with the independent invention of calculus in the 17th century.
