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 8.2 taught?

This standard is part of the Grade 8 curriculum in Alabama Mathematics Standards.

Are there practice problems for 8.2?

Yes, there are 3 practice problems available for 8.2 with worked examples.

What learning resources are available for 8.2?

There are 23 Khan Academy resources available for 8.2, including 11 videos, 8 exercises, 4 articles.

8.2: Locate rational approximations of irrational numbers on a number line, compare their sizes, and estimate the values of the irrational number... | Alabama Mathematics Standards

Locate rational approximations of irrational numbers on a number line, compare their sizes, and estimate the values of the irrational numbers.

Example Problems

\\sqrt{5} + \\sqrt{20}

rational or irrational?

\frac{\sqrt{40}}{\sqrt{5}}

rational or irrational?

\frac{\sqrt{50}}{\sqrt{2}}

rational or irrational?

Khan Academy Resources

Writing repeating decimals as fractions review Classifying numbers review Approximating square roots walk through Writing fractions as repeating decimals review Converting repeating decimals to fractions Converting multi-digit repeating decimals to fractions Approximating square roots Classify numbers: rational & irrational Writing fractions as repeating decimals Comparing irrational numbers with a calculator Comparing irrational numbers Classify numbers Approximating square roots to hundredths Worked example: classifying numbers Converting repeating decimals to fractions (part 2 of 2)Converting repeating decimals to fractions (part 1 of 2)Classifying numbers: rational & irrational Intro to rational & irrational numbers Comparing values with calculator Approximating square roots Converting a fraction to a repeating decimal Comparing irrational numbers with radicals Classifying numbers

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8.2: Locate rational approximations of irrational numbers on a number line, compare their sizes, and estimate the values of the irrational numbers.