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 A2.APR.A.5 taught?

This standard is part of the A2 curriculum in Missouri Learning Standards - Mathematics.

Are there practice problems for A2.APR.A.5?

Yes, there are 3 practice problems available for A2.APR.A.5 with worked examples.

What learning resources are available for A2.APR.A.5?

There are 38 Khan Academy resources available for A2.APR.A.5, including 22 videos, 10 exercises, 6 articles.

A2.APR.A.5: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to sketch the function defined by the polynomial... | Missouri Learning Standards - Mathematics

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to sketch the function defined by the polynomial.

Example Problems

Factor completely:

x^6 - 1

Factor completely:

9x^4 - 81

Factor completely:

2x^6 + x^3 - 3

Khan Academy Resources

Intro to slope-intercept form Graphs of polynomials: Challenge problems Zeros of polynomials & their graphs Graphs of polynomials Number of solutions to system of equations review Positive & negative intervals of polynomials Solutions to 2-variable equations Slope-intercept intro Intercepts from a graph Zeros of polynomials (with factoring)Number of solutions to a system of equations graphically Positive & negative intervals of polynomials Zeros of polynomials (multiplicity)Number of solutions to a system of equations algebraically Complete solutions to 2-variable equations Zeros of polynomials (factored form)Systems of equations number of solutions: fruit prices (1 of 2)Number of solutions to a system of equations graphically Systems of equations number of solutions: fruit prices (2 of 2)Intercepts from an equation Number of solutions to a system of equations Solutions to systems of equations: consistent vs. inconsistent Solutions to systems of equations: dependent vs. independent How many solutions does a system of linear equations have if there are at least two?Zeros of polynomials (with factoring): grouping Multiplicity of zeros of polynomials Zeros of polynomials: matching equation to graph Worked example: solutions to 2-variable equations Completing solutions to 2-variable equations Number of solutions to a system of equations algebraically Zeros of polynomials: matching equation to zeros Intro to slope-intercept form Solutions to 2-variable equations Intro to intercepts Zeros of polynomials: plotting zeros Zeros of polynomials (with factoring): common factor Zeros of polynomials (multiplicity)Zeros of polynomials introduction

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