Is Goblins free for teachers?

Yes. Goblins offers a generous free tier that includes 1 live feedback assignment per week, insights on student mastery and replays, and the ability to upload your own content. The Max plan adds unlimited assignments, superadaptive mode, grade exports, standards growth reports, and SSO/LMS integration, with per-student pricing for schools and districts.

How does Goblins work?

Three simple steps: (1) Share an assignment from thousands of standards-aligned topics using a share code. (2) Students speak and draw their thinking naturally, and Goblins responds with Socratic questioning that sounds just like their teacher. (3) Teachers get real-time formative insights showing what students struggle with and suggestions to inform instruction.

Does Goblins prevent cheating?

Yes. Goblins uses a purpose-trained AI model that evaluates cheating signals in real time. It can detect when students are copying answers, using external tools inappropriately, or not genuinely working through problems. Copy-pasting answers is also blocked.

Can I use my own voice with Goblins?

Yes. Teachers can record their voice and take a selfie to create a custom 3D avatar in about 30 seconds. Students then hear help in their own teacher's voice and see a familiar face, making the experience more personal and effective.

What math levels does Goblins cover?

Goblins covers math from Grade 5 through AP Calculus, including thousands of standards-aligned topics. Teachers can also upload their own content for custom assignments at any level.

Is Goblins FERPA compliant?

Yes. Goblins is FERPA and state compliant. Student data privacy and security are a top priority.

Does Goblins support English Language Learners?

Yes. Goblins supports 30+ languages so teachers don't have to translate every worksheet. It is especially helpful for ELL students who need accessible math instruction in their native language.

District of Columbia: AP Calculus Learning Objectives Math Standards

81 standards · 3 domains

LIMITS

CB.Calc.LIM-1.A Represent limits analytically using correct notation.
CB.Calc.LIM-1.B Interpret limits expressed in analytic notation.
CB.Calc.LIM-1.C Estimate limits of functions.
CB.Calc.LIM-1.D Determine the limits of functions using limit theorems.
CB.Calc.LIM-1.E Determine the limits of functions using equivalent expressions for the function or the squeeze theorem.
CB.Calc.LIM-2.A Justify conclusions about continuity at a point using the definition.
CB.Calc.LIM-2.B Determine intervals over which a function is continuous.
CB.Calc.LIM-2.C Determine values of x or solve for parameters that make discontinuous functions continuous, if possible.
CB.Calc.LIM-2.D Interpret the behavior of functions using limits involving infinity.
CB.Calc.LIM-3.A Interpret a limit as a definition of a derivative.
CB.Calc.LIM-4.A Determine limits of functions that result in indeterminate forms.
CB.Calc.LIM-5.A Approximate a definite integral using geometric and numerical methods.
CB.Calc.LIM-5.B Interpret the limiting case of the Riemann sum as a definite integral.
CB.Calc.LIM-5.C Represent the limiting case of the Riemann sum as a definite integral.
CB.Calc.LIM-6.A Evaluate an improper integral or determine that the integral diverges.
CB.Calc.LIM-7.A Determine whether a series converges or diverges.
CB.Calc.LIM-7.B Approximate the sum of a series.
CB.Calc.LIM-8.A Represent a function at a point as a Taylor polynomial.
CB.Calc.LIM-8.B Approximate function values using a Taylor polynomial.
CB.Calc.LIM-8.C Determine the error bound associated with a Taylor polynomial approximation.
CB.Calc.LIM-8.D Determine the radius of convergence and interval of convergence for a power series.
CB.Calc.LIM-8.E Represent a function as a Taylor series or a Maclaurin series.
CB.Calc.LIM-8.F Interpret Taylor series and Maclaurin series.
CB.Calc.LIM-8.G Represent a given function as a power series.

CHANGE

CB.Calc.CHA-1.A Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant.
CB.Calc.CHA-2.A Determine average rates of change using difference quotients.
CB.Calc.CHA-2.B Represent the derivative of a function as the limit of a difference quotient.
CB.Calc.CHA-2.C Determine the equation of a line tangent to a curve at a given point.
CB.Calc.CHA-2.D Estimate derivatives.
CB.Calc.CHA-3.A Interpret the meaning of a derivative in context.
CB.Calc.CHA-3.B Calculate rates of change in applied contexts.
CB.Calc.CHA-3.C Interpret rates of change in applied contexts.
CB.Calc.CHA-3.D Calculate related rates in applied contexts.
CB.Calc.CHA-3.E Interpret related rates in applied contexts.
CB.Calc.CHA-3.F Approximate a value on a curve using the equation of a tangent line.
CB.Calc.CHA-3.G Calculate derivatives of parametric functions.
CB.Calc.CHA-3.H Calculate derivatives of vector-valued functions.
CB.Calc.CHA-4.A Interpret the meaning of areas associated with the graph of a rate of change in context.
CB.Calc.CHA-4.B Determine the average value of a function using definite integrals.
CB.Calc.CHA-4.C Determine values for positions and rates of change using definite integrals in problems involving rectilinear motion.
CB.Calc.CHA-4.D Interpret the meaning of a definite integral in accumulation problems.
CB.Calc.CHA-4.E Determine net change using definite integrals in applied contexts.
CB.Calc.CHA-5.A Calculate areas in the plane using the definite integral.
CB.Calc.CHA-5.B Calculate volumes of solids with known cross sections using definite integrals.
CB.Calc.CHA-5.C Calculate volumes of solids of revolution using definite integrals.
CB.Calc.CHA-5.D Calculate areas of regions defined by polar curves using definite integrals.
CB.Calc.CHA-6.A Determine the length of a curve in the plane defined by a function, using a definite integral.
CB.Calc.CHA-6.B Determine the length of a curve in the plane defined by parametric functions, using a definite integral.

ANALYSIS OF FUNCTIONS

CB.Calc.FUN-1.A Explain the behavior of a function on an interval using the Intermediate Value Theorem.
CB.Calc.FUN-1.B Justify conclusions about functions by applying the Mean Value Theorem over an interval.
CB.Calc.FUN-1.C Justify conclusions about functions by applying the Extreme Value Theorem.
CB.Calc.FUN-2.A Explain the relationship between differentiability and continuity.
CB.Calc.FUN-3.A Calculate derivatives of familiar functions.
CB.Calc.FUN-3.B Calculate derivatives of products and quotients of differentiable functions.
CB.Calc.FUN-3.C Calculate derivatives of compositions of differentiable functions.
CB.Calc.FUN-3.D Calculate derivatives of implicitly defined functions.
CB.Calc.FUN-3.E Calculate derivatives of inverse and inverse trigonometric functions.
CB.Calc.FUN-3.F Determine higher order derivatives of a function.
CB.Calc.FUN-3.G Calculate derivatives of functions written in polar coordinates.
CB.Calc.FUN-4.A Justify conclusions about the behavior of a function based on the behavior of its derivatives.
CB.Calc.FUN-4.B Calculate minimum and maximum values in applied contexts or analysis of functions.
CB.Calc.FUN-4.C Interpret minimum and maximum values calculated in applied contexts.
CB.Calc.FUN-4.D Determine critical points of implicit relations.
CB.Calc.FUN-4.E Justify conclusions about the behavior of an implicitly defined function based on evidence from its derivatives.
CB.Calc.FUN-5.A Represent accumulation functions using definite integrals.
CB.Calc.FUN-6.A Calculate a definite integral using areas and properties of definite integrals.
CB.Calc.FUN-6.B Evaluate definite integrals analytically using the Fundamental Theorem of Calculus.
CB.Calc.FUN-6.C Determine antiderivatives of functions and indefinite integrals, using knowledge of derivatives.
CB.Calc.FUN-6.D Use substitution and rearrangements into equivalent forms, such as long division and completing the square, for integrands requiring these techniques.
CB.Calc.FUN-6.E Use integration by parts for integrands requiring this technique.
CB.Calc.FUN-6.F Use integration by linear partial fractions for integrands requiring this technique.
CB.Calc.FUN-7.A Interpret verbal statements of problems as differential equations involving a derivative expression.
CB.Calc.FUN-7.B Verify solutions to differential equations.
CB.Calc.FUN-7.C Estimate solutions to differential equations.
CB.Calc.FUN-7.D Determine general solutions to differential equations.
CB.Calc.FUN-7.E Determine particular solutions to differential equations.
CB.Calc.FUN-7.F Interpret the meaning of a differential equation and its variables in context.
CB.Calc.FUN-7.G Determine general and particular solutions for problems involving differential equations in context.
CB.Calc.FUN-7.H Interpret the meaning of the logistic growth model in context.
CB.Calc.FUN-8.A Determine a particular solution given a rate vector and initial conditions.
CB.Calc.FUN-8.B Determine values for positions and rates of change in problems involving planar motion.