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.

S.IR.2.1

Develop and critique arguments for practical implications based on statistical significance.

Example Problems

Kai wondered whether the days of the week of vet appointments at his clinic had an even distribution from Monday through Friday, so he took a random sample of 400 appointments and recorded their days of the week. Here are his results:

Day	Appointments
Monday	88
Tuesday	98
Wednesday	74
Thursday	90
Friday	50

He wants to use these results to carry out a χ² goodness-of-fit test to determine if the distribution of days of the week of the appointments disagrees with an even distribution.

What is the value of the test statistic for Kai's test?

Nora noted that in the previous year,

50\%

of visits at the clinic where she works were general checkups,

25\%

were follow-up visits, and

25\%

were urgent visits. She wondered if visit types this year still followed this distribution, so she took a random sample of

160

visits and recorded their types. Here are her results:

Visit type	Checkup	Follow-up	Urgent
Visits	68	50	42

She wants to use these results to carry out a

\chi^2

goodness-of-fit test to determine if the distribution of visit types this year differs from last year.

What is the value of the test statistic for Nora's test?

Omar wondered whether the booking methods for appointments at his clinic had an even distribution among phone, website, app, and in-person, so he took a random sample of 240 appointments and recorded the booking method. Here are his results:

Booking method	Phone	Website	App	In person
Appointments	70	61	62	47

He wants to use these results to carry out a

\chi^2

goodness-of-fit test to determine if the distribution of booking methods of the appointments disagrees with an even distribution.

What is the value of the test statistic for Omar's test?

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