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.

C.D

Derivatives

C.D.1Understand the concept of the derivative of a function geometrically, numerically, analytically, and verbally.C.D.1aInterpret the value of the derivative of a function as the slope of the corresponding tangent line.C.D.1bInterpret the value of the derivative as an instantaneous rate of change in a variety of real-world contexts such as velocity and population growth.C.D.1cApproximate the derivative graphically by finding the slope of the tangent line drawn to a curve at a given point and numerically by using the difference quotient.C.D.1dUnderstand and explain graphically and analytically the relationship between differentiability and continuity.C.D.1eExplain graphically and analytically the relationship between the average rate of change and the instantaneous rate of change.C.D.1fUnderstand the definition of the derivative and use this definition to determine the derivatives of various functions.C.D.2Apply the rules of differentiation to functions.C.D.2aKnow and apply the derivatives of constant, power, trigonometric, inverse trigonometric, exponential, and logarithmic functions.C.D.2bUse the constant multiple, sum, difference, product, quotient, and chain rules to find the derivatives of functions.C.D.2cUnderstand and apply the methods of implicit and logarithmic differentiation.C.D.3Apply theorems and rules of differentiation to solve mathematical and real-world problems.C.D.3aExplain geometrically and verbally the mathematical and real-world meanings of the Extreme Value Theorem and the Mean Value Theorem.C.D.3bWrite an equation of a line tangent to the graph of a function at a point.C.D.3cExplain the relationship between the increasing/decreasing behavior of f and the signs of f’. Use the relationship to generate a graph of f given the graph of f’, and vice versa, and to identify relative and absolute extrema of f.C.D.3dExplain the relationships among the concavity of the graph of f, the increasing/decreasing behavior of f’ and the signs of f’’. Use those relationships to generate graphs of f, f′, and f′′ given any one of them and identify the points of inflection of f.C.D.3eSolve a variety of real-world problems involving related rates, optimization, linear approximation, and rates of change.

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