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.

8.DSP.4a

Organize bivariate categorical data in a two-way table.

Example Problems

One hundred twenty households were surveyed about whether they own a dog and whether they own a cat. The following two-way table displays data for the sample:

Ownership	Owns cat	Doesn't own cat	TOTAL
Owns dog	50	30	80
Doesn't own dog	20	20	40
TOTAL	70	50	120

In this sample, are the events "Owns dog" and "Owns cat" mutually exclusive?

Two hundred employees were classified by department (Tech or HR) and by work location (Remote or On-site). The following two-way table displays data for the sample:

Department	Tech	HR	TOTAL
Remote	60	40	100
On-site	80	20	100
TOTAL	140	60	200

In this sample, are the events "Remote" and "HR" mutually exclusive?

Three hundred commuters were surveyed about whether they use the bus and whether they use the train to get to work. The probability a randomly selected commuter uses the bus is

0.60

, the probability they use the train is

0.50

, and the probability they use both is

0.20

.

In this sample, are the events Uses bus and Uses train mutually exclusive?

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