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.

A2.12

Solve simple equations involving exponential, radical, logarithmic, and trigonometric functions using inverse functions.

Example Problems

Evaluate:

\log_4(8)

Evaluate:

\log_9(3)

Evaluate:

\log_5(5)

Khan Academy Resources

Intro to logarithm properties Intro to inverse functions Intro to Logarithms Verifying inverse functions by composition Justifying the logarithm properties Intro to invertible functions Evaluate logarithms (advanced)Evaluate logarithms Evaluate inverse trig functions Verify inverse functions Use the properties of logarithms Interpret solutions of trigonometric equations in context Relationship between exponentials & logarithms Solve sinusoidal equations (basic)Restrict domains of functions to make them invertible Evaluate inverse functions Exponential vs. linear models Exponential expressions word problems (numerical)Determine if a function is invertible Find inverses of rational functions Sinusoidal models word problems Exponential vs. linear growth over time Finding inverses of linear functions Solve sinusoidal equations Intro to logarithms Evaluating logarithms (advanced)Proof of the logarithm product rule Proof of the logarithm quotient and power rules Intro to exponential functions Intro to logarithm properties (1 of 2)Intro to logarithm properties (2 of 2)Intro to inverse functions Finding inverse functions: linear Using the logarithmic product rule Using the properties of logarithms: multiple steps Using the logarithmic power rule Relationship between exponentials & logarithms: graphs Sine equation algebraic solution set Relationship between exponentials & logarithms Graphing the inverse of a linear function Verifying inverse functions by composition Finding inverses of rational functions Cosine equation solution set in an interval Restricting domains of functions to make them invertible Cosine equation algebraic solution set Exponential expressions word problems (numerical)Determining if a function is invertible Initial value & common ratio of exponential functions Exponential vs. linear models: verbal Relationship between exponentials & logarithms: tables Inputs & outputs of inverse functions Graphical relationship between 2ˣ and log₂(x)Analyzing graphs of exponential functions Modeling with basic exponential functions word problem Verifying inverse functions from tables Analyzing graphs of exponential functions: negative initial value Verifying inverse functions by composition: not inverse Interpreting solutions of trigonometric equations

1-on-1 AI tutoring aligned to A2.12. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

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