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.

HSF.IF.C.8.a

Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

Example Problems

Find:

\int \frac{1}{x^2 - 6x + 45} dx

Find:

\int \frac{1}{x^2 + 4x + 13} dx

Find:

\int \frac{1}{x^2 + 2x + 10} dx

Khan Academy Resources

Solving quadratics by completing the square Solving quadratics by factoring review Completing the square review Solving quadratics by factoring Quadratics by factoring (intro)Completing the square (intermediate)Quadratics by factoring Quadratic word problems (standard form)Interpret quadratic models Solve equations using structure Completing the square (intro)Features of quadratic functions Features of quadratic functions: strategy Compare features of functions Zero product property Worked example: completing the square (leading coefficient ≠ 1)Completing the square Solving quadratics by factoring Vertex & axis of symmetry of a parabola Finding the vertex of a parabola in standard form Interpret quadratic models: Factored form Solving quadratics using structure Zero product property Comparing maximum points of quadratic functions Forms & features of quadratic functions Solving quadratics by factoring: leading coefficient ≠ 1 Worked examples: Forms & features of quadratic functions Comparing features of quadratic functions Interpret quadratic models: Vertex form Quadratic word problem: mosquitoes Finding features of quadratic functions Comparing functions: shared features Worked example: Rewriting & solving equations by completing the square Worked example: Rewriting expressions by completing the square

1-on-1 AI tutoring aligned to HSF.IF.C.8.a. 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.

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