📏 Geometry Formulas Lab

An interactive lab: axes and primitive shapes, nets (2D unfoldings of 3D solids), visual volume construction, and an animated unit circle — from elementary through high school.

Common Core 7.G.B.6Common Core HSG-GMD.A.3Common Core HSF-TF.A.2

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How it works

1Explore primitive shapes and coordinate axes as a visual foundation.

2Unfold 3D solids into their 2D nets to see how surface area is built from flat faces.

3Build volumes visually, watching how the shape and its measurements relate.

4Use the animated unit circle to see how angles map to sine and cosine in real time.

Worked example

Unfolding a cube shows 6 identical squares — multiply one face's area by 6 to get the total surface area.

Frequently asked questions

Is this the same content as Geometry PRO?

No — Geometry PRO is phase-based practice; this is a free-form visual lab for exploring formulas and shapes hands-on.

What grade level is the unit circle part for?

That's high-school trigonometry content — the rest of the lab (nets, volume) works from upper elementary onward.

Do I need to complete it in order?

No, it's a lab, not a phase track — explore any section freely.

For teachers and parents

Standard: Surface area, volume, and the unit circle (Common Core, Grades 7-12) (7.G.B.6, HSG-GMD.A.3, HSF-TF.A.2).

In the classroom: Great as a live classroom demo — unfold a solid on-screen while students unfold a paper net at their desks.

At home: The unit circle animation is high-school level — younger kids will get more out of the shapes and nets sections.

Check out the rest of Mathly Live.