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.

AA.FGR.3.6

Create, interpret, and solve exponential equations to represent relationships between quantities and analyze the relationships numerically with tables, algebraically, and graphically.

Example Problems

Solve the exponential equation for x.

32^{\frac{x}{3}} = 8^{x - 12}

Solve the exponential equation for x.

27^{9x + 4} \cdot 3^{x - 8} = 3^{x + 9}

Solve the exponential equation for x.

2^{4x - 5} \cdot 32^{x + 1} = 2^{6x - 7}

Khan Academy Resources

Logarithm change of base rule intro Solving exponential equations using logarithms Exponential model word problems Rewrite exponential expressions Graphing exponential growth & decay Solve exponential equations using logarithms: base-2 and other bases Solve exponential equations using logarithms: base-10 and base-e Graphs of exponential growth Exponential vs. linear models Interpret time in exponential models Exponential expressions word problems (numerical)Equivalent forms of exponential expressions Interpret change in exponential models: changing units Evaluate logarithms: change of base rule Interpret change in exponential models: with manipulation Exponential vs. linear growth over time Interpret change in exponential models Intro to exponential functions Exponential function graph Evaluating logarithms: change of base rule Graphing exponential growth & decay Solving exponential equations using logarithms: base-10 Interpreting change in exponential models Interpreting change in exponential models: changing units Exponential model word problem: bacteria growth Graphs of exponential growth Exponential model word problem: medication dissolve Interpreting time in exponential models Exponential expressions word problems (numerical)Interpreting change in exponential models: with manipulation Initial value & common ratio of exponential functions Exponential vs. linear models: verbal Solving exponential equations using logarithms: base-2 Rewriting exponential expressions as A⋅Bᵗ Equivalent forms of exponential expressions Analyzing graphs of exponential functions Modeling with basic exponential functions word problem Analyzing graphs of exponential functions: negative initial value

1-on-1 AI tutoring aligned to AA.FGR.3.6. 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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