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 6.EE.8c taught?

This standard is part of the Grade 6 curriculum in Kansas Standards for Mathematics.

Are there practice problems for 6.EE.8c?

Yes, there are 3 practice problems available for 6.EE.8c with worked examples.

What learning resources are available for 6.EE.8c?

There are 12 Khan Academy resources available for 6.EE.8c, including 6 videos, 5 exercises, 1 articles.

6.EE.8c: Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. | Kansas Standards for Mathematics

Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

Example Problems

A hotel recorded the number of rooms cleaned and the number of guest complaints.

Rooms Cleaned	Complaints
20	2
30	3
20	2
40	4
30	3
40	5

Can complaints be represented as a function of rooms cleaned?

An airplane uses fuel at a constant rate.

The table compares the flight time (in hours) and the remaining fuel (in liters).

Hours	Fuel Remaining (L)
1	4600
3	4200
5	3800

How fast is the airplane using fuel?

A delivery service logged the number of packages delivered and the number of delivery delays.

Packages	Delays
100	5
150	8
100	5
200	12
150	8
200	12

Can delays be represented as a function of packages delivered?

Khan Academy Resources

Dependent and independent variables review Analyze relationships between variables Match equations to coordinates on a graph Relationships between quantities in equations Tables from equations with 2 variables Independent versus dependent variables Equation word problem: super yoga (2 of 2)Equation word problem: super yoga (1 of 2)Dependent & independent variables: graphing Dependent & independent variables Analyzing relationships between variables Writing equations for relationships between quantities

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