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.

A1.AREI.11

Solve an equation of the form f(x)=g(x) graphically by identifying the x-coordinate(s) of the point(s) of intersection of the graphs of y=f(x) and y=g(x). (Limit to linear; quadratic; exponential.)

Example Problems

We want to find the intersection points of the graphs given by the following system of equations:

\begin{cases} y = 2x + 2 \\ y = x^2 - 4x + 7 \end{cases}

One of the intersection points is

(5, 12)

.
Find the other intersection point.
Your answer must be exact.

We want to find the intersection points of the graphs given by the following system of equations:

y = x + 1

y = x^2 - 7x + 11.25

One of the intersection points is

(2.5, 3.5)

.
Find the other intersection point.
Your answer must be exact.

We want to find the intersection points of the graphs given by the following system of equations:

\begin{cases} x - y = 5 \\ y = (x - 1)^2 - 4 \end{cases}

One of the intersection points is

(2, -3)

.
Find the other intersection point.
Your answer must be exact.

Khan Academy Resources

Number of solutions to system of equations review Systems of equations with graphing Solving equations graphically: intro Number of solutions to a system of equations graphically Solving equations graphically: word problems Number of solutions to a system of equations algebraically Solving equations graphically: graphing calculator Solutions of systems of equations Systems of equations: trolls, tolls (2 of 2)Systems of equations: trolls, tolls (1 of 2)Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 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)Number of solutions to a system of equations Testing a solution to a system of equations Solutions to systems of equations: consistent vs. inconsistent Solutions to systems of equations: dependent vs. independent Intro to linear equation standard form Solving equations by graphing: word problems How many solutions does a system of linear equations have if there are at least two?Solving equations by graphing Number of solutions to a system of equations algebraically Two-variable linear equations intro Solving equations by graphing: intro Intro to point-slope form Solving equations by graphing: graphing calculator Systems of equations with graphing: exact & approximate solutions

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