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.

What grade level is NC.M3.G-C.2b taught?

This standard is part of the NC curriculum in North Carolina Standard Course of Study - Mathematics.

Are there practice problems for NC.M3.G-C.2b?

Yes, there are 3 practice problems available for NC.M3.G-C.2b with worked examples.

What learning resources are available for NC.M3.G-C.2b?

There are 24 Khan Academy resources available for NC.M3.G-C.2b, including 14 videos, 3 exercises, 7 articles.

NC.M3.G-C.2b: Understand and apply theorems about relationships with line segments and circles including, radii, diameter, secants, tangents and chords. | North Carolina Standard Course of Study - Mathematics

Understand and apply theorems about relationships with line segments and circles including, radii, diameter, secants, tangents and chords.

Example Problems

The radius of a circle is

1 \text{ unit}

.
What is the diameter of the circle?

The radius of a circle is

4 \text{ units}

. What is the diameter of the circle?

The radius of a circle is

8 \text{ units}

.
What is the diameter of the circle?

Khan Academy Resources

Challenge problems: Inscribed angles Challenge problems: radius & tangent Inscribed angle theorem proof Determining tangent lines: angles Challenge problems: Inscribed shapes Determining tangent lines: lengths Challenge problems: circumscribing shapes Inscribed angles Tangents of circles problems Inscribed shapes Inscribed angle theorem proof Proof: Right triangles inscribed in circles Circles glossary Proof: radius is perpendicular to a chord it bisects Proof: perpendicular radius bisects chord Inscribed shapes: find inscribed angle Tangents of circles problem (example 1)Inscribed shapes: find diameter Inscribed angles Proof: Radius is perpendicular to tangent line Inscribed shapes: angle subtended by diameter Tangents of circles problem (example 3)Proof: Segments tangent to circle from outside point are congruent Tangents of circles problem (example 2)

1-on-1 AI tutoring aligned to NC.M3.G-C.2b. 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.

Free for teachers, forever →